diff --git a/assignment5.Rmd b/assignment5.Rmd index 288bcb3..3494655 100644 --- a/assignment5.Rmd +++ b/assignment5.Rmd @@ -14,19 +14,22 @@ The data you will be using comes from the Assistments online intelligent tutorin - mean_attempt: The average number of attempts a student took to answer a problem in the current session - mean_confidence: The average confidence each student has in their ability to answer the problems in the current session +## Loading libraries +```{r} +library(ggplot2) +library(GGally) +library(factoextra) +``` + ## Start by uploading the data ```{r} -D1 <- +D1 <- read.csv("Assistments-confidence.csv", header = TRUE) ``` ## Create a correlation matrix of the relationships between the variables, including correlation coefficients for each pair of variables/features. ```{r} -#You can install the corrplot package to plot some pretty correlation matrices (sometimes called correlograms) - -library(ggplot2) -library(GGally) ggpairs(D1, 2:8, progress = FALSE) #ggpairs() draws a correlation plot between all the columns you identify by number (second option, you don't need the first column as it is the student ID) and progress = FALSE stops a progress bar appearing as it renders your plot @@ -38,7 +41,8 @@ ggcorr(D1[,-1], method = c("everything", "pearson")) #ggcorr() doesn't have an e ## Create a new data frame with the mean_correct variable removed, we want to keep that variable intact. The other variables will be included in our PCA. ```{r} -D2 <- +drop <- c("mean_correct","id") +D2 <- D1[,!(names(D1) %in% drop)] ``` @@ -66,6 +70,7 @@ summary(pca) plot(pca, type = "lines") ``` + ## Decide which components you would drop and remove them from your data set. ## Part II @@ -73,15 +78,34 @@ plot(pca, type = "lines") ```{r} #Now, create a data frame of the transformed data from your pca. -D3 <- +var_coord_func <- function(loadings, sdev){ + loadings*sdev +} -#Attach the variable "mean_correct" from your original data frame to D3. +# Compute Coordinates +loadings <- pca$rotation +sdev <- pca$sdev +var.coord <- t(apply(loadings, 1, var_coord_func, sdev)) +head(var.coord[, 1:4]) +D3 <- data.frame(pca$x) +#Attach the variable "mean_correct" from your original data frame to D3. + +D3$meancorrect <- D1$mean_correct #Now re-run your correlation plots between the transformed data and mean_correct. If you had dropped some components would you have lost important infomation about mean_correct? +ggpairs(D3, progress = FALSE) +ggcorr (D3, method = c("everything", "pearson")) + +D3_drop <- D3[,1:4] +D3_drop$meancorrect <- D1$mean_correct + +ggpairs(D3_drop, progress = FALSE) +ggcorr (D3_drop, method = c("everything", "pearson")) +#Answer: Yes given the significantly negative correlation between mean correct and the sixth principle component (ρ=-0.395). The correlations between mean correct and other principle components are intact. ``` ## Now print out the loadings for the components you generated: @@ -99,13 +123,46 @@ loadings <- abs(pca$rotation) #abs() will make all eigenvectors positive biplot(pca) - ``` # Part III Also in this repository is a data set collected from TC students (tc-program-combos.csv) that shows how many students thought that a TC program was related to andother TC program. Students were shown three program names at a time and were asked which two of the three were most similar. Use PCA to look for components that represent related programs. Explain why you think there are relationships between these programs. ```{r} +T1 <- read.csv("tc-program-combos.csv", header = TRUE) +T2<- T1[,-1] +pca_tc <- prcomp(T2, scale. = TRUE) +pca$sdev + +pca_tc$sdev^2 + +summary(pca_tc) + +plot(pca_tc, type = "lines") + +pca$rotation + +loadings_tc <- abs(pca_tc$rotation) #abs() will make all eigenvectors positive + +head(summary(pca_tc)) + + +var_coord_func <- function(loadings, sdev){ + loadings*sdev +} + +# Compute Coordinates +loadings <- pca_tc$rotation +sdev <- pca_tc$sdev +var.coord <- t(apply(loadings, 1, var_coord_func, sdev)) +head(var.coord) + +fviz_pca_var(pca_tc, + col.var = "contrib", # Color by contributions to the PC + gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"), + repel = TRUE # Avoid text overlapping + ) +##Answer: According to the information of principal component loading, Adult Education, Teaching English, Bilingual&Bicultural Education, Clinical Psychology, Cognitive Science, College Advising, and Communication Science and Disorders are the three programs that have highest positive contribution to PC5, which means there are some significant intersections among the three programs. This may be because all these programs are related to both language skills and lifecareer development. ``` diff --git a/assignment5.html b/assignment5.html new file mode 100644 index 0000000..83bea95 --- /dev/null +++ b/assignment5.html @@ -0,0 +1,4325 @@ + + + + +
+ + + + + + + + +The data you will be using comes from the Assistments online intelligent tutoring system (https://www.assistments.org/). It describes students working through online math problems. Each student has the following data associated with them:
+library(ggplot2)
+## Warning: package 'ggplot2' was built under R version 3.6.3
+library(GGally)
+## Warning: package 'GGally' was built under R version 3.6.3
+## Registered S3 method overwritten by 'GGally':
+## method from
+## +.gg ggplot2
+library(factoextra)
+## Warning: package 'factoextra' was built under R version 3.6.3
+## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
+D1 <- read.csv("Assistments-confidence.csv", header = TRUE)
+ggpairs(D1, 2:8, progress = FALSE) #ggpairs() draws a correlation plot between all the columns you identify by number (second option, you don't need the first column as it is the student ID) and progress = FALSE stops a progress bar appearing as it renders your plot
+
+ggcorr(D1[,-1], method = c("everything", "pearson")) #ggcorr() doesn't have an explicit option to choose variables so we need to use matrix notation to drop the id variable. We then need to choose a "method" which determines how to treat missing values (here we choose to keep everything, and then which kind of correlation calculation to use, here we are using Pearson correlation, the other options are "kendall" or "spearman")
+
+#Study your correlogram images and save them, you will need them later. Take note of what is strongly related to the outcome variable of interest, mean_correct.
+drop <- c("mean_correct","id")
+D2 <- D1[,!(names(D1) %in% drop)]
+pca <- prcomp(D2, scale. = TRUE)
+pca$sdev
+## [1] 1.2825140 1.0543565 1.0245688 0.9621486 0.8556715 0.7320146
+#To convert this into variance accounted for we can square it, these numbers are proportional to the eigenvalue
+
+pca$sdev^2
+## [1] 1.6448423 1.1116675 1.0497412 0.9257299 0.7321737 0.5358454
+#A summary of our pca will give us the proportion of variance accounted for by each component
+
+summary(pca)
+## Importance of components:
+## PC1 PC2 PC3 PC4 PC5 PC6
+## Standard deviation 1.2825 1.0544 1.0246 0.9621 0.8557 0.73201
+## Proportion of Variance 0.2741 0.1853 0.1750 0.1543 0.1220 0.08931
+## Cumulative Proportion 0.2741 0.4594 0.6344 0.7887 0.9107 1.00000
+#We can look at this to get an idea of which components we should keep and which we should drop
+
+plot(pca, type = "lines")
+
+#Now, create a data frame of the transformed data from your pca.
+
+var_coord_func <- function(loadings, sdev){
+ loadings*sdev
+}
+
+# Compute Coordinates
+loadings <- pca$rotation
+sdev <- pca$sdev
+var.coord <- t(apply(loadings, 1, var_coord_func, sdev))
+head(var.coord[, 1:4])
+## PC1 PC2 PC3 PC4
+## prior_prob_count -0.33389150 0.48309298 -0.41075658 -0.6636556
+## prior_percent_correct 0.21597946 0.86054324 0.09494992 0.2540111
+## problems_attempted -0.58442540 0.33407477 0.37281725 0.3048222
+## mean_hint -0.81231353 -0.13181164 -0.08205610 -0.1080094
+## mean_attempt -0.69512275 -0.08973479 -0.04698021 0.2991014
+## mean_confidence 0.04593099 0.02685955 -0.85092400 0.4761568
+D3 <- data.frame(pca$x)
+#Attach the variable "mean_correct" from your original data frame to D3.
+
+D3$meancorrect <- D1$mean_correct
+
+#Now re-run your correlation plots between the transformed data and mean_correct. If you had dropped some components would you have lost important infomation about mean_correct?
+
+ggpairs(D3, progress = FALSE)
+
+ggcorr (D3, method = c("everything", "pearson"))
+
+D3_drop <- D3[,1:4]
+D3_drop$meancorrect <- D1$mean_correct
+
+ggpairs(D3_drop, progress = FALSE)
+
+ggcorr (D3_drop, method = c("everything", "pearson"))
+
+#Answer: Yes given the significantly negative correlation between mean correct and the sixth principle component (ρ=-0.395). The correlations between mean correct and other principle components are intact.
+pca$rotation
+## PC1 PC2 PC3 PC4
+## prior_prob_count -0.26034140 0.45818753 -0.40090679 -0.6897642
+## prior_percent_correct 0.16840319 0.81617867 0.09267306 0.2640040
+## problems_attempted -0.45568733 0.31685183 0.36387724 0.3168141
+## mean_hint -0.63337594 -0.12501620 -0.08008842 -0.1122586
+## mean_attempt -0.54200011 -0.08510858 -0.04585364 0.3108682
+## mean_confidence 0.03581325 0.02547483 -0.83051917 0.4948890
+## PC5 PC6
+## prior_prob_count -0.007142834 -0.29280482
+## prior_percent_correct 0.298843852 0.37134715
+## problems_attempted -0.592336569 -0.32911025
+## mean_hint -0.102302115 0.74412634
+## mean_attempt 0.697232132 -0.33781385
+## mean_confidence -0.251357022 -0.01452143
+#Examine the eigenvectors, notice that they are a little difficult to interpret. It is much easier to make sense of them if we make them proportional within each component
+
+loadings <- abs(pca$rotation) #abs() will make all eigenvectors positive
+
+#Now examine your components and try to come up with substantive descriptions of what some might represent?
+
+#You can generate a biplot to help you, though these can be a bit confusing. They plot the transformed data by the first two components. Therefore, the axes represent the direction of maximum variance accounted for. Then mapped onto this point cloud are the original directions of the variables, depicted as red arrows. It is supposed to provide a visualization of which variables "go together". Variables that possibly represent the same underlying construct point in the same direction.
+
+biplot(pca)
+ # Part III
+Also in this repository is a data set collected from TC students (tc-program-combos.csv) that shows how many students thought that a TC program was related to andother TC program. Students were shown three program names at a time and were asked which two of the three were most similar. Use PCA to look for components that represent related programs. Explain why you think there are relationships between these programs.
T1 <- read.csv("tc-program-combos.csv", header = TRUE)
+T2<- T1[,-1]
+pca_tc <- prcomp(T2, scale. = TRUE)
+pca$sdev
+## [1] 1.2825140 1.0543565 1.0245688 0.9621486 0.8556715 0.7320146
+pca_tc$sdev^2
+## [1] 7.1128630864 5.4430330560 4.1544358466 3.2722454371 2.9395476996
+## [6] 2.5731927459 2.5217109546 2.2267250142 2.1440153558 1.9359624893
+## [11] 1.7827800336 1.7560733413 1.7216815395 1.5954785267 1.5716697682
+## [16] 1.4966766496 1.4858641675 1.4077677636 1.2797824290 1.2727007063
+## [21] 1.2195431178 1.1303749458 1.0235041934 0.9933274149 0.9317728773
+## [26] 0.9034282205 0.8696848576 0.8191610815 0.7252366024 0.6968754570
+## [31] 0.6704258671 0.6168368672 0.5788069731 0.5380355701 0.5224127176
+## [36] 0.4531870174 0.4401434846 0.4204104623 0.3899874305 0.3639858772
+## [41] 0.3231580154 0.3110188729 0.2604227077 0.2444573271 0.2221075356
+## [46] 0.1984818264 0.1873922684 0.1709365720 0.1388304984 0.1343495215
+## [51] 0.1226087294 0.1107450296 0.1075824634 0.0925036076 0.0786264855
+## [56] 0.0732613524 0.0563106886 0.0447576745 0.0310355381 0.0273621679
+## [61] 0.0218397813 0.0201779378 0.0123046098 0.0049767662 0.0019625111
+## [66] 0.0012878092 0.0001540561
+summary(pca_tc)
+## Importance of components:
+## PC1 PC2 PC3 PC4 PC5 PC6 PC7
+## Standard deviation 2.6670 2.33303 2.03824 1.80893 1.71451 1.60412 1.58799
+## Proportion of Variance 0.1062 0.08124 0.06201 0.04884 0.04387 0.03841 0.03764
+## Cumulative Proportion 0.1062 0.18740 0.24941 0.29825 0.34212 0.38053 0.41816
+## PC8 PC9 PC10 PC11 PC12 PC13 PC14
+## Standard deviation 1.49222 1.4642 1.39139 1.33521 1.32517 1.3121 1.26312
+## Proportion of Variance 0.03323 0.0320 0.02889 0.02661 0.02621 0.0257 0.02381
+## Cumulative Proportion 0.45140 0.4834 0.51229 0.53890 0.56511 0.5908 0.61462
+## PC15 PC16 PC17 PC18 PC19 PC20 PC21
+## Standard deviation 1.25366 1.22339 1.21896 1.18649 1.1313 1.1281 1.1043
+## Proportion of Variance 0.02346 0.02234 0.02218 0.02101 0.0191 0.0190 0.0182
+## Cumulative Proportion 0.63808 0.66042 0.68260 0.70361 0.7227 0.7417 0.7599
+## PC22 PC23 PC24 PC25 PC26 PC27 PC28
+## Standard deviation 1.06319 1.01168 0.99666 0.96528 0.95049 0.93257 0.90508
+## Proportion of Variance 0.01687 0.01528 0.01483 0.01391 0.01348 0.01298 0.01223
+## Cumulative Proportion 0.77678 0.79205 0.80688 0.82079 0.83427 0.84725 0.85948
+## PC29 PC30 PC31 PC32 PC33 PC34 PC35
+## Standard deviation 0.85161 0.8348 0.81880 0.78539 0.76079 0.73351 0.7228
+## Proportion of Variance 0.01082 0.0104 0.01001 0.00921 0.00864 0.00803 0.0078
+## Cumulative Proportion 0.87030 0.8807 0.89071 0.89992 0.90856 0.91659 0.9244
+## PC36 PC37 PC38 PC39 PC40 PC41 PC42
+## Standard deviation 0.67319 0.66343 0.64839 0.62449 0.60331 0.56847 0.55769
+## Proportion of Variance 0.00676 0.00657 0.00627 0.00582 0.00543 0.00482 0.00464
+## Cumulative Proportion 0.93115 0.93772 0.94399 0.94981 0.95524 0.96007 0.96471
+## PC43 PC44 PC45 PC46 PC47 PC48 PC49
+## Standard deviation 0.51032 0.49443 0.47128 0.44551 0.4329 0.41344 0.37260
+## Proportion of Variance 0.00389 0.00365 0.00332 0.00296 0.0028 0.00255 0.00207
+## Cumulative Proportion 0.96860 0.97224 0.97556 0.97852 0.9813 0.98387 0.98594
+## PC50 PC51 PC52 PC53 PC54 PC55 PC56
+## Standard deviation 0.36654 0.35016 0.33278 0.32800 0.30414 0.28040 0.27067
+## Proportion of Variance 0.00201 0.00183 0.00165 0.00161 0.00138 0.00117 0.00109
+## Cumulative Proportion 0.98795 0.98978 0.99143 0.99304 0.99442 0.99559 0.99668
+## PC57 PC58 PC59 PC60 PC61 PC62 PC63
+## Standard deviation 0.23730 0.21156 0.17617 0.16542 0.14778 0.1420 0.11093
+## Proportion of Variance 0.00084 0.00067 0.00046 0.00041 0.00033 0.0003 0.00018
+## Cumulative Proportion 0.99752 0.99819 0.99866 0.99906 0.99939 0.9997 0.99987
+## PC64 PC65 PC66 PC67
+## Standard deviation 0.07055 0.04430 0.03589 0.01241
+## Proportion of Variance 0.00007 0.00003 0.00002 0.00000
+## Cumulative Proportion 0.99995 0.99998 1.00000 1.00000
+plot(pca_tc, type = "lines")
+
+pca$rotation
+## PC1 PC2 PC3 PC4
+## prior_prob_count -0.26034140 0.45818753 -0.40090679 -0.6897642
+## prior_percent_correct 0.16840319 0.81617867 0.09267306 0.2640040
+## problems_attempted -0.45568733 0.31685183 0.36387724 0.3168141
+## mean_hint -0.63337594 -0.12501620 -0.08008842 -0.1122586
+## mean_attempt -0.54200011 -0.08510858 -0.04585364 0.3108682
+## mean_confidence 0.03581325 0.02547483 -0.83051917 0.4948890
+## PC5 PC6
+## prior_prob_count -0.007142834 -0.29280482
+## prior_percent_correct 0.298843852 0.37134715
+## problems_attempted -0.592336569 -0.32911025
+## mean_hint -0.102302115 0.74412634
+## mean_attempt 0.697232132 -0.33781385
+## mean_confidence -0.251357022 -0.01452143
+loadings_tc <- abs(pca_tc$rotation) #abs() will make all eigenvectors positive
+
+head(summary(pca_tc))
+## $sdev
+## [1] 2.66699514 2.33303087 2.03824332 1.80893489 1.71451092 1.60411744
+## [7] 1.58798960 1.49222150 1.46424566 1.39138869 1.33520786 1.32516917
+## [13] 1.31212863 1.26312253 1.25366254 1.22338737 1.21896028 1.18649390
+## [19] 1.13127469 1.12814038 1.10432926 1.06319093 1.01168384 0.99665812
+## [25] 0.96528383 0.95048841 0.93256896 0.90507518 0.85160824 0.83479067
+## [31] 0.81879538 0.78538963 0.76079365 0.73350908 0.72278124 0.67319166
+## [37] 0.66343310 0.64839067 0.62448974 0.60331242 0.56846989 0.55769066
+## [43] 0.51031628 0.49442626 0.47128286 0.44551299 0.43288829 0.41344476
+## [49] 0.37259965 0.36653720 0.35015529 0.33278376 0.32799766 0.30414406
+## [55] 0.28040415 0.27066834 0.23729873 0.21156010 0.17616906 0.16541514
+## [61] 0.14778289 0.14204907 0.11092615 0.07054620 0.04430024 0.03588606
+## [67] 0.01241193
+##
+## $rotation
+## PC1 PC2
+## Adult.Education 0.195244807 -0.081173179
+## Anthropology 0.041618444 0.067513716
+## Social.Studies 0.118026735 -0.009640857
+## Physiology -0.108722059 0.244332139
+## Behavior.Analysis 0.073664107 0.212642074
+## Linguistics 0.031501159 -0.056628665
+## Art.Education -0.100850194 -0.008331969
+## Teaching.English 0.096371622 -0.077917205
+## Arts.Administration 0.219265500 -0.007609962
+## Bilingual.Bicultural.Education 0.187592041 -0.089462221
+## Clinical.Psychology 0.137578897 0.253057084
+## Cognitive.Science -0.003609338 0.139954400
+## College.Advising 0.136854695 -0.070391895
+## Communication.Sciences.and.Disorders 0.076817580 0.152942395
+## Cooperation.and.Conflict.Resolution 0.204246568 0.074014973
+## Creative.Technologies -0.033511014 -0.038351713
+## Curriculum.and.Teaching 0.045456979 -0.146083471
+## Dance.Education -0.017280406 0.033201946
+## Deaf.and.Hard.of.Hearing -0.010313639 0.191270009
+## Design.and.Development.of.Digital.Games -0.031771585 -0.071519524
+## Developmental.Psychology 0.082288337 0.152941409
+## Diabetes.Education -0.018135541 0.190943934
+## Early.Childhood.Education 0.108728104 -0.019690381
+## Early.Childhood.Special.Education 0.011939402 0.141416924
+## Economics.and.Education 0.230904557 -0.044537632
+## Education.Technology 0.080546916 -0.069391374
+## Education.Leadership 0.164853826 -0.020157092
+## Education.Policy 0.220862047 -0.049289447
+## Inclusive.Education 0.112412104 0.078743538
+## English.Education 0.058102626 -0.039814683
+## Change.Leadership 0.276968484 0.025307479
+## Nursing -0.004426176 0.212127683
+## Gifted.Education 0.061050472 0.036282821
+## Health.Education -0.070745806 0.221286588
+## Higher.and.Postsecondary.Education 0.049622510 -0.088269322
+## History 0.185879418 0.005513178
+## Instructional.Technology.and.Media 0.015354039 0.037814598
+## Intellectual.Disability.Autism -0.038023570 0.055764264
+## International.and.Comparative.Education 0.148554380 -0.136598623
+## Kinesiology -0.074076646 0.251474186
+## Learning.Analytics 0.050461967 0.023262241
+## Literacy 0.102057802 -0.055471015
+## Mathematics -0.022958610 0.019090802
+## Measurement..Evaluation.and.Statistics 0.053776442 0.025781843
+## Motor.Learning.and.Control -0.067993850 0.066549542
+## Movement.Science -0.094071255 0.155210865
+## Music 0.019739178 -0.038477774
+## Neuroscience 0.050088590 0.252892893
+## Nutrition -0.096876750 0.098444990
+## Leadership 0.200587293 -0.043951788
+## Philosophy 0.050141362 -0.035570257
+## Physical.Education -0.005951315 0.210815408
+## Politics 0.218826058 -0.093130258
+## Private.School.Leadership 0.204822247 -0.044466862
+## Psychological.Counseling 0.021504240 0.180589584
+## Psychology 0.132750159 0.223687912
+## Reading 0.141378210 0.007779019
+## School.Psychology 0.088295588 0.068982630
+## Science.Education 0.002525749 -0.040226399
+## Sexuality..Women.and.Gender.in.Psychology 0.138274926 0.190272039
+## Social.Organizational.Psychology 0.211870376 0.062715239
+## Sociology 0.139414507 0.171940097
+## Spirituality.Mind.Body 0.119406065 0.173459546
+## School.Principals 0.217479454 -0.025803517
+## Urban.Education 0.197797965 -0.005724431
+## Counseling.Psychology 0.070167540 0.195730154
+## Communication.Media.and.Learning.Technologies 0.055898776 0.032653273
+## PC3 PC4
+## Adult.Education 0.028182506 -0.012101516
+## Anthropology -0.013498702 -0.186530401
+## Social.Studies -0.058297497 -0.062441476
+## Physiology -0.029875300 0.085347530
+## Behavior.Analysis 0.064112822 0.063218559
+## Linguistics 0.108760848 -0.347873695
+## Art.Education 0.044684538 -0.032872051
+## Teaching.English 0.056978165 -0.274561025
+## Arts.Administration 0.114395894 -0.022037413
+## Bilingual.Bicultural.Education -0.005642685 -0.188182654
+## Clinical.Psychology -0.065207715 -0.043343805
+## Cognitive.Science 0.310433118 -0.047490754
+## College.Advising -0.092624873 0.095460446
+## Communication.Sciences.and.Disorders 0.060687829 -0.174237714
+## Cooperation.and.Conflict.Resolution 0.012459052 0.042134054
+## Creative.Technologies 0.260970961 -0.048352723
+## Curriculum.and.Teaching -0.032638635 -0.136233254
+## Dance.Education 0.144541852 -0.126449044
+## Deaf.and.Hard.of.Hearing 0.014471350 -0.231777116
+## Design.and.Development.of.Digital.Games 0.315204411 -0.155407491
+## Developmental.Psychology -0.019178994 0.013305093
+## Diabetes.Education -0.064466952 -0.062256944
+## Early.Childhood.Education 0.016319702 -0.137738097
+## Early.Childhood.Special.Education -0.106805966 -0.179485356
+## Economics.and.Education -0.037240112 0.147464986
+## Education.Technology 0.269028133 0.118380213
+## Education.Leadership -0.018347066 0.133788509
+## Education.Policy -0.062160131 0.065062109
+## Inclusive.Education -0.038748887 0.016795477
+## English.Education 0.030105227 -0.340655042
+## Change.Leadership 0.027469355 0.090129650
+## Nursing -0.124284925 -0.006326771
+## Gifted.Education 0.142702875 -0.015319271
+## Health.Education -0.149398776 0.039773903
+## Higher.and.Postsecondary.Education -0.046074812 0.050802594
+## History -0.030043567 -0.130286278
+## Instructional.Technology.and.Media 0.256605069 -0.035329485
+## Intellectual.Disability.Autism -0.060174199 -0.109418351
+## International.and.Comparative.Education 0.010684652 0.065832442
+## Kinesiology 0.032006324 0.028572726
+## Learning.Analytics 0.279301926 0.095156574
+## Literacy 0.019325673 -0.249578015
+## Mathematics 0.279437785 0.160098841
+## Measurement..Evaluation.and.Statistics 0.246700617 0.117658853
+## Motor.Learning.and.Control 0.157909931 0.153501353
+## Movement.Science 0.054218545 0.051387822
+## Music 0.115547732 -0.033099369
+## Neuroscience 0.123316167 0.026158308
+## Nutrition -0.115876404 -0.064711287
+## Leadership -0.089623076 0.178233962
+## Philosophy -0.015545648 0.024110573
+## Physical.Education 0.069411030 0.046590787
+## Politics -0.048800674 0.116061983
+## Private.School.Leadership 0.022314928 0.079455100
+## Psychological.Counseling -0.061518244 -0.130944602
+## Psychology 0.138362887 0.053041590
+## Reading 0.042498185 -0.160488365
+## School.Psychology -0.052382941 -0.019388874
+## Science.Education 0.139802843 -0.006356849
+## Sexuality..Women.and.Gender.in.Psychology -0.020534185 0.025740427
+## Social.Organizational.Psychology -0.094771939 -0.067165172
+## Sociology -0.089267361 0.135896567
+## Spirituality.Mind.Body -0.064486688 -0.093103762
+## School.Principals -0.045270014 0.006180797
+## Urban.Education 0.004016740 -0.014814714
+## Counseling.Psychology 0.062714872 0.006732776
+## Communication.Media.and.Learning.Technologies 0.225757185 0.054377872
+## PC5 PC6
+## Adult.Education 1.728415e-01 -0.102668759
+## Anthropology -3.129737e-02 0.196426553
+## Social.Studies -1.474660e-01 0.076803863
+## Physiology -6.609786e-02 -0.025259090
+## Behavior.Analysis -5.133547e-06 -0.082261014
+## Linguistics -1.915169e-02 0.039603219
+## Art.Education -1.584728e-01 -0.133805991
+## Teaching.English 1.089443e-01 -0.006044466
+## Arts.Administration -1.869310e-01 -0.074904058
+## Bilingual.Bicultural.Education 4.903744e-02 -0.159653250
+## Clinical.Psychology 2.005051e-02 -0.036235448
+## Cognitive.Science 4.991097e-02 0.087843872
+## College.Advising 1.485522e-01 -0.105098235
+## Communication.Sciences.and.Disorders 2.793143e-02 -0.089000775
+## Cooperation.and.Conflict.Resolution -9.699016e-05 -0.003460946
+## Creative.Technologies 3.935876e-02 -0.080642586
+## Curriculum.and.Teaching 5.402043e-02 -0.096422621
+## Dance.Education -1.803114e-01 -0.227974331
+## Deaf.and.Hard.of.Hearing 5.168328e-02 -0.147128760
+## Design.and.Development.of.Digital.Games -4.278729e-02 -0.145749767
+## Developmental.Psychology 7.833214e-02 0.013997594
+## Diabetes.Education 4.873309e-02 -0.127689916
+## Early.Childhood.Education 1.760174e-01 -0.064400004
+## Early.Childhood.Special.Education 2.123717e-01 -0.039771119
+## Economics.and.Education 8.153583e-02 0.012145918
+## Education.Technology 1.085994e-01 -0.055435622
+## Education.Leadership 1.477658e-01 0.026786690
+## Education.Policy -2.249421e-02 -0.078921380
+## Inclusive.Education 2.115616e-01 -0.107026746
+## English.Education 7.085640e-02 0.091851859
+## Change.Leadership -8.847020e-02 -0.143885402
+## Nursing -9.978436e-02 -0.066867053
+## Gifted.Education 1.577669e-01 -0.090391186
+## Health.Education 3.300102e-03 -0.158034551
+## Higher.and.Postsecondary.Education 1.825499e-01 0.329136645
+## History -3.272878e-01 0.001254374
+## Instructional.Technology.and.Media 5.601318e-02 -0.075288491
+## Intellectual.Disability.Autism 1.192242e-01 -0.056404613
+## International.and.Comparative.Education 7.643797e-02 -0.115531729
+## Kinesiology 3.299363e-02 0.060837034
+## Learning.Analytics -5.633621e-02 0.201292330
+## Literacy -2.770064e-02 0.109599023
+## Mathematics 3.066170e-02 0.006811620
+## Measurement..Evaluation.and.Statistics -4.852397e-02 0.213080728
+## Motor.Learning.and.Control 4.989157e-02 -0.135173662
+## Movement.Science 1.275983e-02 -0.190268881
+## Music -2.454760e-01 -0.122748200
+## Neuroscience -7.738519e-02 0.090840720
+## Nutrition 3.976750e-02 -0.124974748
+## Leadership -4.159671e-02 -0.036989921
+## Philosophy -2.062782e-01 0.085310354
+## Physical.Education -2.422479e-02 -0.023093307
+## Politics -9.569954e-02 -0.008885544
+## Private.School.Leadership 2.280217e-01 -0.110605438
+## Psychological.Counseling 2.319082e-01 0.180300182
+## Psychology 8.591414e-02 0.030580198
+## Reading -1.403552e-01 0.079193712
+## School.Psychology 3.755853e-02 0.267784552
+## Science.Education 6.107782e-02 0.355283883
+## Sexuality..Women.and.Gender.in.Psychology -2.118146e-01 0.071699549
+## Social.Organizational.Psychology -2.731819e-02 0.107680504
+## Sociology -6.936710e-02 0.043240262
+## Spirituality.Mind.Body -1.561628e-01 0.122103870
+## School.Principals 7.613233e-02 -0.083483538
+## Urban.Education -1.852246e-01 -0.041156072
+## Counseling.Psychology 1.783831e-01 0.090119254
+## Communication.Media.and.Learning.Technologies 4.549864e-02 -0.051178527
+## PC7 PC8
+## Adult.Education 0.168961987 -0.0765370842
+## Anthropology 0.098276227 0.0954633593
+## Social.Studies -0.300006884 -0.2940596423
+## Physiology 0.073067860 0.0839518027
+## Behavior.Analysis 0.054966515 -0.1111766436
+## Linguistics 0.144143242 -0.1125538040
+## Art.Education -0.105359916 0.0579344858
+## Teaching.English 0.044141594 0.1149604676
+## Arts.Administration 0.074172102 0.0530020089
+## Bilingual.Bicultural.Education -0.143056515 0.0418901350
+## Clinical.Psychology 0.147447776 -0.0682643478
+## Cognitive.Science 0.026039182 -0.0453729524
+## College.Advising -0.038383241 -0.0956028350
+## Communication.Sciences.and.Disorders 0.337589840 -0.1105070647
+## Cooperation.and.Conflict.Resolution -0.098424611 -0.0906518314
+## Creative.Technologies 0.141925957 -0.1678239562
+## Curriculum.and.Teaching 0.006514167 -0.1169033788
+## Dance.Education -0.227605456 0.1258219202
+## Deaf.and.Hard.of.Hearing -0.159523240 -0.1053574605
+## Design.and.Development.of.Digital.Games 0.037583436 -0.0156096117
+## Developmental.Psychology -0.021018681 0.1983357512
+## Diabetes.Education -0.115484068 0.1798137911
+## Early.Childhood.Education -0.149048329 0.1639846821
+## Early.Childhood.Special.Education -0.155666513 0.1184248013
+## Economics.and.Education 0.044792514 0.0496561898
+## Education.Technology -0.055271900 -0.0071171726
+## Education.Leadership 0.076640964 0.0851631320
+## Education.Policy -0.218669131 0.0228847197
+## Inclusive.Education 0.119211689 0.0227717408
+## English.Education 0.005418317 -0.0709703710
+## Change.Leadership 0.030086536 0.0074568599
+## Nursing 0.082741555 0.0233711492
+## Gifted.Education -0.290446653 0.2132388392
+## Health.Education 0.091940282 -0.0244728360
+## Higher.and.Postsecondary.Education -0.016729596 0.0258983157
+## History 0.033760909 -0.0967642998
+## Instructional.Technology.and.Media 0.130952023 0.1250973228
+## Intellectual.Disability.Autism -0.013183529 0.0008154006
+## International.and.Comparative.Education 0.052575217 -0.2968264489
+## Kinesiology -0.066373271 0.0604760396
+## Learning.Analytics 0.086112757 0.1409525929
+## Literacy 0.205570254 0.2273894320
+## Mathematics -0.074865044 0.1674100945
+## Measurement..Evaluation.and.Statistics 0.067999834 -0.0318868226
+## Motor.Learning.and.Control 0.058100872 -0.1647398625
+## Movement.Science 0.048103676 -0.0562431322
+## Music -0.211569465 -0.0765349465
+## Neuroscience -0.052072450 -0.0712940929
+## Nutrition 0.041532672 -0.0372022630
+## Leadership -0.003160839 0.1156509056
+## Philosophy -0.015911739 -0.0199402455
+## Physical.Education -0.063127212 0.1445029446
+## Politics 0.059022047 0.1643300823
+## Private.School.Leadership 0.094717624 0.0565089158
+## Psychological.Counseling -0.090105489 -0.0672544067
+## Psychology 0.053760748 -0.0528136251
+## Reading -0.054538398 0.1406627887
+## School.Psychology -0.027757382 -0.1600309960
+## Science.Education -0.204119083 0.0037572011
+## Sexuality..Women.and.Gender.in.Psychology -0.115593872 -0.0553145957
+## Social.Organizational.Psychology -0.026109879 -0.2095701445
+## Sociology 0.071073850 -0.0345229042
+## Spirituality.Mind.Body 0.098556500 0.0492756980
+## School.Principals -0.141747487 -0.0162850378
+## Urban.Education 0.081488398 0.2350006363
+## Counseling.Psychology -0.201631124 -0.0746412070
+## Communication.Media.and.Learning.Technologies -0.115919319 -0.2738966071
+## PC9 PC10
+## Adult.Education 0.013435773 -0.0799984882
+## Anthropology 0.167784914 0.0503525493
+## Social.Studies 0.153911527 -0.0704415543
+## Physiology -0.127397038 -0.0068095350
+## Behavior.Analysis 0.141151760 0.0437087194
+## Linguistics -0.087203406 -0.2004274183
+## Art.Education -0.038293467 -0.2271359521
+## Teaching.English 0.042657952 0.0067423702
+## Arts.Administration -0.131687283 0.0147731755
+## Bilingual.Bicultural.Education 0.153828308 0.1429691916
+## Clinical.Psychology -0.038843894 0.0288761742
+## Cognitive.Science 0.065918953 0.0007978772
+## College.Advising -0.003580126 -0.1248193912
+## Communication.Sciences.and.Disorders 0.032156675 -0.0809595396
+## Cooperation.and.Conflict.Resolution -0.185449879 -0.1246078191
+## Creative.Technologies 0.091935459 -0.0916001392
+## Curriculum.and.Teaching -0.285032004 0.0663266999
+## Dance.Education -0.062212917 -0.1185659744
+## Deaf.and.Hard.of.Hearing -0.083700359 -0.1241571492
+## Design.and.Development.of.Digital.Games -0.044609566 -0.0976035242
+## Developmental.Psychology 0.173193201 -0.2472277929
+## Diabetes.Education -0.188140051 0.0583798294
+## Early.Childhood.Education -0.146383459 0.1254119489
+## Early.Childhood.Special.Education 0.216535038 0.0538747764
+## Economics.and.Education -0.138730577 -0.0855117592
+## Education.Technology 0.033000009 0.0191961954
+## Education.Leadership -0.006458550 -0.2688520659
+## Education.Policy 0.172636338 0.0620388476
+## Inclusive.Education -0.046348487 0.0841665592
+## English.Education 0.087012108 0.1322263662
+## Change.Leadership -0.034329146 0.1370983885
+## Nursing 0.038522432 0.1445176451
+## Gifted.Education 0.079108670 -0.0223955713
+## Health.Education -0.161864154 0.1562602079
+## Higher.and.Postsecondary.Education -0.153959049 -0.1188163992
+## History 0.002100495 -0.0278227138
+## Instructional.Technology.and.Media -0.029175777 0.0784349950
+## Intellectual.Disability.Autism -0.088115027 -0.3938159863
+## International.and.Comparative.Education 0.102436476 0.0016139004
+## Kinesiology -0.026024774 0.1025661686
+## Learning.Analytics -0.086193612 0.1188036224
+## Literacy -0.059494139 0.0581088031
+## Mathematics -0.015557446 -0.1494916483
+## Measurement..Evaluation.and.Statistics -0.110822063 0.1766355470
+## Motor.Learning.and.Control 0.035352659 -0.0374315529
+## Movement.Science -0.081462309 -0.1761113514
+## Music -0.141270967 0.0967551422
+## Neuroscience -0.147464533 0.0669438205
+## Nutrition -0.310524967 0.0404126195
+## Leadership 0.068414906 0.1011462801
+## Philosophy -0.055098137 -0.3596064960
+## Physical.Education 0.110064760 -0.0884839188
+## Politics 0.008909885 -0.1184883426
+## Private.School.Leadership 0.024835548 -0.0253843818
+## Psychological.Counseling -0.066213642 -0.0488194522
+## Psychology 0.172275723 0.0115320577
+## Reading 0.021850543 0.0615803695
+## School.Psychology -0.170797649 -0.0279701411
+## Science.Education -0.159361008 -0.0337840522
+## Sexuality..Women.and.Gender.in.Psychology 0.135661152 -0.0751167256
+## Social.Organizational.Psychology -0.077274579 0.0299633984
+## Sociology -0.018956896 -0.0748381737
+## Spirituality.Mind.Body 0.204436706 -0.0785226242
+## School.Principals -0.235243530 0.0569763439
+## Urban.Education -0.196776629 -0.0041899842
+## Counseling.Psychology -0.063536973 -0.0224895270
+## Communication.Media.and.Learning.Technologies 0.009187855 0.1652215439
+## PC11 PC12
+## Adult.Education 0.032130246 -0.0301339337
+## Anthropology -0.020651885 0.0834657813
+## Social.Studies -0.109744759 0.0404254726
+## Physiology -0.194341111 0.1131745712
+## Behavior.Analysis 0.089878170 -0.0319030224
+## Linguistics -0.067544248 -0.0250823133
+## Art.Education 0.253206972 0.1373679020
+## Teaching.English -0.017599019 0.1836961238
+## Arts.Administration 0.079235330 -0.0614695039
+## Bilingual.Bicultural.Education -0.158764994 0.0382493061
+## Clinical.Psychology -0.004615067 -0.1407173062
+## Cognitive.Science -0.221022828 0.0005286734
+## College.Advising -0.225633614 0.0095675774
+## Communication.Sciences.and.Disorders 0.183089630 0.0104082321
+## Cooperation.and.Conflict.Resolution 0.033919600 -0.1564105722
+## Creative.Technologies 0.056784903 -0.0231553111
+## Curriculum.and.Teaching -0.128949325 0.0368188794
+## Dance.Education -0.130480574 -0.0788861313
+## Deaf.and.Hard.of.Hearing 0.034741366 -0.1086641606
+## Design.and.Development.of.Digital.Games -0.092132806 -0.1347079275
+## Developmental.Psychology 0.111751823 -0.1224336165
+## Diabetes.Education -0.009762218 0.0145572401
+## Early.Childhood.Education 0.082399165 -0.0003835624
+## Early.Childhood.Special.Education 0.059027524 -0.0732364380
+## Economics.and.Education 0.075898875 0.0564930941
+## Education.Technology 0.006633697 0.0645795654
+## Education.Leadership 0.052247251 0.1303056368
+## Education.Policy 0.030140443 -0.0196850650
+## Inclusive.Education 0.234478738 -0.0989301993
+## English.Education 0.015701053 -0.0493550860
+## Change.Leadership -0.074193872 -0.0133290195
+## Nursing -0.007732268 -0.0320806926
+## Gifted.Education -0.008974676 0.2144268472
+## Health.Education -0.015114896 0.1583188196
+## Higher.and.Postsecondary.Education 0.030051989 0.1633976769
+## History 0.024664228 0.1075542438
+## Instructional.Technology.and.Media -0.269810254 0.2212275020
+## Intellectual.Disability.Autism -0.194040036 -0.2155930587
+## International.and.Comparative.Education -0.267785935 0.0586773450
+## Kinesiology -0.061494328 0.1590819351
+## Learning.Analytics -0.157478959 -0.0608922807
+## Literacy 0.001539529 -0.0323007809
+## Mathematics 0.047132883 0.0010083917
+## Measurement..Evaluation.and.Statistics -0.034596071 -0.1734749367
+## Motor.Learning.and.Control 0.189425052 0.3069512614
+## Movement.Science 0.086911649 -0.1248802010
+## Music 0.201216245 -0.1567260038
+## Neuroscience 0.010558877 -0.0618923721
+## Nutrition -0.212488923 0.1289094798
+## Leadership -0.077310856 -0.3660959415
+## Philosophy 0.015011961 0.1719541123
+## Physical.Education -0.042144902 0.1235945483
+## Politics -0.048610239 0.0315625799
+## Private.School.Leadership -0.021048271 0.0643348269
+## Psychological.Counseling 0.103460650 0.0323582080
+## Psychology 0.083120760 -0.1380441669
+## Reading 0.073742306 0.2136182009
+## School.Psychology -0.034734920 -0.0170644765
+## Science.Education 0.086987038 -0.1192960904
+## Sexuality..Women.and.Gender.in.Psychology -0.187065570 0.0940975241
+## Social.Organizational.Psychology 0.181209042 0.1743344327
+## Sociology -0.183106784 0.0652691063
+## Spirituality.Mind.Body -0.031419199 0.0277523219
+## School.Principals -0.011622428 0.0774748066
+## Urban.Education 0.161079916 0.0252846943
+## Counseling.Psychology -0.109147271 -0.0798015721
+## Communication.Media.and.Learning.Technologies 0.194791266 0.1794879640
+## PC13 PC14
+## Adult.Education 0.012306596 -0.186827417
+## Anthropology -0.140136148 0.116887060
+## Social.Studies -0.015516352 0.194995876
+## Physiology 0.112299034 0.007715839
+## Behavior.Analysis 0.119391975 -0.254264930
+## Linguistics 0.150983355 0.007171591
+## Art.Education 0.177715056 -0.109429910
+## Teaching.English 0.075378657 -0.004291514
+## Arts.Administration -0.045147992 0.040213081
+## Bilingual.Bicultural.Education 0.107640523 0.019705237
+## Clinical.Psychology -0.011151698 0.055946496
+## Cognitive.Science 0.049300939 -0.058350570
+## College.Advising -0.205571337 0.036544347
+## Communication.Sciences.and.Disorders 0.002699779 -0.091466499
+## Cooperation.and.Conflict.Resolution -0.144444791 0.027325217
+## Creative.Technologies -0.119328361 -0.041563310
+## Curriculum.and.Teaching 0.110404901 0.234477170
+## Dance.Education -0.137220360 0.040128748
+## Deaf.and.Hard.of.Hearing -0.188854616 -0.108171733
+## Design.and.Development.of.Digital.Games -0.065656233 0.079436618
+## Developmental.Psychology 0.155319148 0.011586777
+## Diabetes.Education -0.147736255 -0.083192090
+## Early.Childhood.Education 0.159327859 -0.133209523
+## Early.Childhood.Special.Education 0.022873775 -0.155233988
+## Economics.and.Education -0.072039754 -0.159613813
+## Education.Technology 0.275124500 0.130746687
+## Education.Leadership -0.049433237 0.212539172
+## Education.Policy 0.060851205 -0.084320704
+## Inclusive.Education -0.050983942 0.153217099
+## English.Education -0.011761564 -0.107724604
+## Change.Leadership -0.051941159 -0.117587354
+## Nursing -0.135080452 0.149304309
+## Gifted.Education 0.162286333 0.107049684
+## Health.Education 0.216395861 0.125818170
+## Higher.and.Postsecondary.Education -0.029725441 0.029012256
+## History 0.028871074 0.058360003
+## Instructional.Technology.and.Media -0.117618167 -0.056138573
+## Intellectual.Disability.Autism -0.122852207 0.060820832
+## International.and.Comparative.Education 0.097231070 -0.131502888
+## Kinesiology -0.087781502 -0.266193061
+## Learning.Analytics -0.209549129 -0.039795278
+## Literacy 0.188626333 0.018279951
+## Mathematics -0.125454494 -0.102448134
+## Measurement..Evaluation.and.Statistics 0.201237705 0.057674061
+## Motor.Learning.and.Control -0.048840079 0.123242975
+## Movement.Science 0.181501100 -0.003704156
+## Music 0.059694366 0.171829100
+## Neuroscience -0.002459014 0.139710029
+## Nutrition 0.226164157 -0.034501303
+## Leadership 0.071489840 -0.093017984
+## Philosophy 0.177215761 -0.250448099
+## Physical.Education -0.056940939 0.079630809
+## Politics 0.043071928 0.108933381
+## Private.School.Leadership -0.015301866 0.208780852
+## Psychological.Counseling -0.021662234 0.145765154
+## Psychology 0.173653015 0.074972402
+## Reading -0.202384115 0.057430772
+## School.Psychology -0.009324208 -0.283161387
+## Science.Education 0.182213211 0.023169120
+## Sexuality..Women.and.Gender.in.Psychology 0.125789166 -0.097597980
+## Social.Organizational.Psychology -0.132236779 0.029231840
+## Sociology 0.060288778 0.061031112
+## Spirituality.Mind.Body 0.064476616 0.144220547
+## School.Principals 0.009140544 -0.132659295
+## Urban.Education -0.061688602 -0.070382128
+## Counseling.Psychology 0.005001099 0.115599076
+## Communication.Media.and.Learning.Technologies -0.086314457 -0.061591830
+## PC15 PC16
+## Adult.Education 0.040285434 0.108312333
+## Anthropology -0.223149074 0.308955567
+## Social.Studies -0.031462984 -0.034043100
+## Physiology -0.065151415 0.092591580
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+## Design.and.Development.of.Digital.Games 0.219888497 -0.064666172
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+## Education.Leadership 0.296698657 0.059793378
+## Education.Policy 0.129795194 -0.095995834
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+## English.Education 0.107623078 0.134675821
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+## Measurement..Evaluation.and.Statistics 0.102010471 -0.079360480
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+## Leadership -0.103077367 0.098125093
+## Philosophy -0.242279391 -0.058133970
+## Physical.Education -0.010213248 -0.280543677
+## Politics -0.013672557 0.165524312
+## Private.School.Leadership 0.051941090 0.049676822
+## Psychological.Counseling 0.011351356 0.040518769
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+## School.Psychology 0.029239948 0.027314360
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+## Sexuality..Women.and.Gender.in.Psychology 0.109592653 0.013871756
+## Social.Organizational.Psychology 0.167912801 -0.109963092
+## Sociology 0.104592767 0.074333373
+## Spirituality.Mind.Body 0.122406747 0.086690326
+## School.Principals 0.097857405 0.052260053
+## Urban.Education -0.047689035 0.008108122
+## Counseling.Psychology -0.255433768 0.073540494
+## Communication.Media.and.Learning.Technologies -0.196326639 0.124273248
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+## Anthropology -0.005044317 0.1297907765
+## Social.Studies -0.137732070 0.0144927529
+## Physiology -0.086174290 0.0955604424
+## Behavior.Analysis 0.201740704 -0.0520309510
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+## Arts.Administration -0.008096824 0.1291170966
+## Bilingual.Bicultural.Education -0.032239285 0.0148448469
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+## Cognitive.Science -0.136772444 0.0703627050
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+## Curriculum.and.Teaching 0.199589088 0.0484498432
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+## Deaf.and.Hard.of.Hearing 0.128314970 -0.1380663088
+## Design.and.Development.of.Digital.Games -0.051975725 0.1299753572
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+## Early.Childhood.Special.Education 0.003967585 -0.0055009794
+## Economics.and.Education -0.174063338 -0.0900756299
+## Education.Technology 0.195181389 0.0008108945
+## Education.Leadership 0.198664800 -0.0622624215
+## Education.Policy -0.049450454 0.0889580062
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+## Gifted.Education 0.153732424 0.0946993638
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+## Intellectual.Disability.Autism -0.071252939 0.0864125044
+## International.and.Comparative.Education -0.006301806 -0.0594726205
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+## Literacy -0.017014065 0.0901809805
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+## Measurement..Evaluation.and.Statistics -0.035465447 -0.2033090452
+## Motor.Learning.and.Control -0.067749013 0.0015062034
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+## Music -0.120242119 -0.0716596163
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+## Nutrition -0.132774156 0.0290575396
+## Leadership -0.021305215 0.0801611401
+## Philosophy -0.008569934 -0.1521608721
+## Physical.Education -0.158589287 0.1009215709
+## Politics 0.056553251 -0.0069703357
+## Private.School.Leadership 0.016117556 -0.1986441922
+## Psychological.Counseling -0.136762891 0.1871855419
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+## School.Psychology 0.246753509 0.2748232066
+## Science.Education -0.067469270 -0.0310760083
+## Sexuality..Women.and.Gender.in.Psychology -0.033396817 0.0843659358
+## Social.Organizational.Psychology 0.008156796 0.0858310603
+## Sociology 0.021070099 -0.2179527268
+## Spirituality.Mind.Body -0.001526742 0.1627724392
+## School.Principals -0.014964030 0.1712624544
+## Urban.Education 0.120515239 0.0697944277
+## Counseling.Psychology 0.077117960 -0.0709009764
+## Communication.Media.and.Learning.Technologies 0.069382597 -0.0038686478
+## PC19 PC20
+## Adult.Education 0.131910642 0.1266091780
+## Anthropology -0.015479047 -0.0517044769
+## Social.Studies 0.118131386 -0.0289277483
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+## Behavior.Analysis -0.316345852 -0.0973974138
+## Linguistics 0.131090212 -0.0943811221
+## Art.Education 0.052702551 0.0602815161
+## Teaching.English 0.140017116 0.0971860922
+## Arts.Administration -0.083692312 0.2073887768
+## Bilingual.Bicultural.Education 0.011250862 0.1090573831
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+## Cooperation.and.Conflict.Resolution 0.251389990 -0.1335753961
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+## Curriculum.and.Teaching -0.197900651 0.1069545833
+## Dance.Education -0.141783159 0.1534198629
+## Deaf.and.Hard.of.Hearing -0.086728649 -0.0707930670
+## Design.and.Development.of.Digital.Games 0.062216833 -0.0136143300
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+## Early.Childhood.Special.Education -0.036718673 0.3804867769
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+## Education.Policy 0.215528112 -0.1963744698
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+## English.Education -0.194320617 -0.1601628569
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+## Nursing 0.154790420 0.1302300325
+## Gifted.Education 0.092545449 -0.0052991772
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+## Higher.and.Postsecondary.Education -0.206330996 0.1375451215
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+## Measurement..Evaluation.and.Statistics -0.072637518 0.1045052747
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+## Movement.Science -0.072230046 0.1479141869
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+## Leadership -0.108881761 -0.0343718576
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+## Politics -0.081213331 -0.0719137651
+## Private.School.Leadership -0.040594569 0.0899305609
+## Psychological.Counseling 0.130199530 0.0938184257
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+## Sexuality..Women.and.Gender.in.Psychology -0.099583829 0.1134204623
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+## School.Principals -0.056127971 0.0799369924
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+## Counseling.Psychology -0.050767845 -0.1104541534
+## Communication.Media.and.Learning.Technologies 0.028192895 -0.0820630453
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+## Anthropology -0.213122525 0.08662058
+## Social.Studies 0.037325547 0.10479206
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+## Behavior.Analysis -0.106805813 -0.04832636
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+## Art.Education -0.023816315 -0.14046110
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+## Bilingual.Bicultural.Education 0.120835021 -0.07298269
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+## Dance.Education -0.021973249 0.15839137
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+## Design.and.Development.of.Digital.Games -0.006057185 0.04193451
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+## Measurement..Evaluation.and.Statistics 0.019571480 0.04447082
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+## Politics -0.083496607 0.29199242
+## Private.School.Leadership -0.020047631 -0.23800895
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+## Urban.Education 0.066729623 -0.05318069
+## Counseling.Psychology 0.239964969 0.20316492
+## Communication.Media.and.Learning.Technologies -0.018366795 -0.05266182
+## PC23 PC24
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+## Anthropology 0.175509327 -0.079987000
+## Social.Studies -0.082048846 0.111163311
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+## Art.Education 0.032878436 -0.102695247
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+## Arts.Administration 0.132352362 -0.146450926
+## Bilingual.Bicultural.Education -0.232375149 0.006744521
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+## Cognitive.Science 0.123448294 -0.142755641
+## College.Advising 0.198700653 -0.221051137
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+## Cooperation.and.Conflict.Resolution -0.066388618 -0.147368766
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+## Curriculum.and.Teaching -0.084422394 -0.182435079
+## Dance.Education 0.160014991 -0.026740451
+## Deaf.and.Hard.of.Hearing 0.015506161 0.199653896
+## Design.and.Development.of.Digital.Games 0.163814892 -0.080128057
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+## Economics.and.Education 0.084090103 0.142232728
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+## Education.Policy -0.053517942 0.052605027
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+## International.and.Comparative.Education 0.082266940 0.036932660
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+## Learning.Analytics -0.228298746 0.068414567
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+## Measurement..Evaluation.and.Statistics -0.070856437 -0.112132846
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+## Music -0.209736748 -0.088883406
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+## Nutrition -0.011607893 0.085493709
+## Leadership 0.162698419 0.135535799
+## Philosophy -0.107954323 -0.170799472
+## Physical.Education -0.055183189 0.060681540
+## Politics -0.161398417 -0.066943682
+## Private.School.Leadership -0.057343363 0.245499623
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+## Social.Organizational.Psychology -0.162314132 0.117919343
+## Sociology 0.161875827 -0.231799204
+## Spirituality.Mind.Body -0.150184851 0.077004428
+## School.Principals 0.024011851 0.009124248
+## Urban.Education 0.111942887 0.157073981
+## Counseling.Psychology -0.013456869 0.150740651
+## Communication.Media.and.Learning.Technologies 0.232860578 0.056103338
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+## Anthropology -0.024827367 0.18587828
+## Social.Studies 0.052507175 -0.05706654
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+## Linguistics 0.009216336 -0.18351633
+## Art.Education 0.024467031 -0.21136862
+## Teaching.English -0.083670042 0.09014350
+## Arts.Administration 0.151766618 0.18641796
+## Bilingual.Bicultural.Education 0.047032325 -0.22688401
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+## College.Advising -0.140552464 0.14991821
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+## Cooperation.and.Conflict.Resolution -0.101939923 -0.09640538
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+## Curriculum.and.Teaching -0.091524705 -0.04331892
+## Dance.Education -0.054054791 -0.10813994
+## Deaf.and.Hard.of.Hearing -0.058442838 0.06472734
+## Design.and.Development.of.Digital.Games -0.016712775 -0.20926352
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+## Diabetes.Education 0.051910599 0.10027546
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+## Early.Childhood.Special.Education -0.084817504 0.10524235
+## Economics.and.Education 0.045340966 -0.03614132
+## Education.Technology 0.117262763 0.10041679
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+## Nursing 0.273344398 -0.08568097
+## Gifted.Education 0.244617087 0.15066978
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+## Higher.and.Postsecondary.Education 0.032988802 -0.29771356
+## History 0.029985897 -0.01336949
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+## Intellectual.Disability.Autism 0.100308094 0.11153378
+## International.and.Comparative.Education 0.166647569 0.10056746
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+## Learning.Analytics -0.062261968 -0.08098978
+## Literacy -0.176876260 0.01925970
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+## Measurement..Evaluation.and.Statistics 0.007451375 0.04384185
+## Motor.Learning.and.Control -0.263326048 0.09002617
+## Movement.Science -0.229440252 0.05462945
+## Music -0.073324067 0.03305859
+## Neuroscience 0.234596429 0.04049508
+## Nutrition -0.069410417 0.18261915
+## Leadership 0.050580007 -0.04259544
+## Philosophy 0.090991115 -0.02215810
+## Physical.Education 0.113082914 0.15571394
+## Politics 0.196144720 -0.02108171
+## Private.School.Leadership -0.003827503 -0.11682493
+## Psychological.Counseling -0.039058556 -0.03990496
+## Psychology -0.256072519 0.05522795
+## Reading -0.093251320 -0.12813694
+## School.Psychology 0.067105937 0.11646558
+## Science.Education 0.015961123 0.07248292
+## Sexuality..Women.and.Gender.in.Psychology -0.170810288 -0.07221901
+## Social.Organizational.Psychology 0.021641023 0.18133357
+## Sociology -0.017815053 -0.03614612
+## Spirituality.Mind.Body -0.070230743 0.10790572
+## School.Principals 0.079185199 -0.02792055
+## Urban.Education -0.094678762 0.11296488
+## Counseling.Psychology 0.018311395 -0.06164520
+## Communication.Media.and.Learning.Technologies -0.045929468 0.00472069
+## PC27 PC28
+## Adult.Education 0.073089807 -0.240590632
+## Anthropology -0.220125709 -0.132141523
+## Social.Studies 0.016240435 -0.023153894
+## Physiology -0.207947846 -0.116644085
+## Behavior.Analysis -0.073185490 0.006722119
+## Linguistics 0.160882101 0.011491947
+## Art.Education 0.021231544 -0.075963056
+## Teaching.English -0.192427235 -0.142934980
+## Arts.Administration -0.031533345 -0.132554469
+## Bilingual.Bicultural.Education -0.064640577 -0.112169793
+## Clinical.Psychology 0.114938756 0.042527076
+## Cognitive.Science 0.228442601 -0.107817034
+## College.Advising 0.087269559 0.038560694
+## Communication.Sciences.and.Disorders 0.089436365 -0.121635809
+## Cooperation.and.Conflict.Resolution -0.288608867 -0.225717662
+## Creative.Technologies -0.183228980 0.238867531
+## Curriculum.and.Teaching 0.022144837 0.164701368
+## Dance.Education -0.049030038 0.028673503
+## Deaf.and.Hard.of.Hearing -0.035540223 -0.112170637
+## Design.and.Development.of.Digital.Games -0.100285320 -0.088493391
+## Developmental.Psychology -0.079940646 0.049021866
+## Diabetes.Education 0.048469517 0.273128433
+## Early.Childhood.Education 0.087886278 -0.046419499
+## Early.Childhood.Special.Education 0.030789459 0.039064634
+## Economics.and.Education 0.126237679 -0.053515723
+## Education.Technology -0.008935130 -0.030208641
+## Education.Leadership -0.185202227 0.048418628
+## Education.Policy -0.084944270 -0.041239393
+## Inclusive.Education 0.032554956 0.225959114
+## English.Education -0.181330097 0.091908890
+## Change.Leadership 0.020275996 -0.034652160
+## Nursing 0.173411808 -0.270112237
+## Gifted.Education 0.156005298 -0.077160705
+## Health.Education -0.079010668 -0.094690348
+## Higher.and.Postsecondary.Education -0.016300124 -0.058350251
+## History -0.090967148 0.171855774
+## Instructional.Technology.and.Media 0.042876489 0.169140157
+## Intellectual.Disability.Autism 0.048117073 -0.086689460
+## International.and.Comparative.Education 0.028874783 0.111222642
+## Kinesiology -0.199784877 -0.068124837
+## Learning.Analytics -0.005778232 0.021238188
+## Literacy -0.091597525 0.002672037
+## Mathematics 0.028918537 -0.023860901
+## Measurement..Evaluation.and.Statistics -0.076347239 -0.104803804
+## Motor.Learning.and.Control 0.077144375 -0.251279455
+## Movement.Science -0.041083720 0.005211008
+## Music -0.043790917 -0.042858036
+## Neuroscience 0.075816642 0.017708608
+## Nutrition -0.162162636 -0.017670152
+## Leadership -0.160051265 -0.062402072
+## Philosophy -0.019254569 0.123609160
+## Physical.Education -0.193494580 0.025531439
+## Politics -0.113976404 -0.021052079
+## Private.School.Leadership -0.148571227 -0.001851933
+## Psychological.Counseling -0.095563447 0.188383437
+## Psychology 0.068471311 0.173177127
+## Reading 0.178122406 -0.088798731
+## School.Psychology -0.043131021 -0.102193921
+## Science.Education 0.061927697 -0.033592786
+## Sexuality..Women.and.Gender.in.Psychology -0.047513712 0.138049294
+## Social.Organizational.Psychology -0.106950618 -0.080665186
+## Sociology 0.080478364 0.085924388
+## Spirituality.Mind.Body 0.301957443 -0.035675262
+## School.Principals 0.228611632 -0.055457732
+## Urban.Education 0.096538703 0.299239044
+## Counseling.Psychology 0.056236060 0.058973136
+## Communication.Media.and.Learning.Technologies -0.103926929 0.177667820
+## PC29 PC30
+## Adult.Education -0.0633734082 0.2526254067
+## Anthropology -0.1459664565 0.0214402844
+## Social.Studies -0.0612902303 0.0032078639
+## Physiology 0.2234994650 -0.0576602386
+## Behavior.Analysis -0.0675203264 0.0492368266
+## Linguistics 0.0517537992 -0.0467344207
+## Art.Education -0.0124137503 -0.2700907301
+## Teaching.English 0.1890507828 -0.2054191151
+## Arts.Administration -0.2607075798 0.0418932692
+## Bilingual.Bicultural.Education -0.1113045285 0.0603925032
+## Clinical.Psychology 0.1002945313 0.1130882509
+## Cognitive.Science -0.1080802132 -0.0787551445
+## College.Advising -0.0581968461 -0.0420954281
+## Communication.Sciences.and.Disorders 0.1149724903 0.1586615750
+## Cooperation.and.Conflict.Resolution 0.1054075913 0.1820456191
+## Creative.Technologies -0.0953597915 -0.1670652381
+## Curriculum.and.Teaching 0.0550167674 -0.0273225117
+## Dance.Education 0.0674415348 -0.0431759979
+## Deaf.and.Hard.of.Hearing -0.0545494234 -0.1766760339
+## Design.and.Development.of.Digital.Games 0.0378654617 0.0848913109
+## Developmental.Psychology -0.1481447445 -0.0393896739
+## Diabetes.Education -0.1787131969 0.1664342481
+## Early.Childhood.Education 0.1028863098 0.2248698947
+## Early.Childhood.Special.Education -0.0377612978 0.0165476649
+## Economics.and.Education 0.1430056173 0.0063373590
+## Education.Technology -0.0262057402 0.0800973327
+## Education.Leadership -0.0451113077 0.0838574347
+## Education.Policy 0.0271283454 -0.1044962433
+## Inclusive.Education 0.0967547621 -0.2589369686
+## English.Education 0.1394016856 -0.1603446002
+## Change.Leadership -0.0649232583 -0.2169021817
+## Nursing -0.1358587806 -0.1069556532
+## Gifted.Education 0.0599864233 0.0399011469
+## Health.Education -0.1028617888 0.0398071827
+## Higher.and.Postsecondary.Education -0.1415472820 0.0726431391
+## History -0.1663797575 0.2738852997
+## Instructional.Technology.and.Media 0.1362649838 0.1539250334
+## Intellectual.Disability.Autism -0.0268428975 -0.0583920712
+## International.and.Comparative.Education 0.0303564688 0.0215716822
+## Kinesiology -0.0706852338 0.0155225546
+## Learning.Analytics -0.0522219433 0.0151837459
+## Literacy -0.0539623527 0.0591235318
+## Mathematics -0.2399345922 -0.0737807527
+## Measurement..Evaluation.and.Statistics 0.0260779429 -0.2949428679
+## Motor.Learning.and.Control 0.1308801559 -0.0037908532
+## Movement.Science 0.0397478935 -0.0273190509
+## Music 0.0292360990 0.0628785578
+## Neuroscience 0.0778801893 0.1526600671
+## Nutrition -0.3698052571 -0.1154682469
+## Leadership 0.1086756729 0.0102121747
+## Philosophy -0.0005891809 0.0437443366
+## Physical.Education 0.2663304678 0.0810879107
+## Politics -0.1590784699 -0.0337605747
+## Private.School.Leadership -0.0369969739 -0.1857423550
+## Psychological.Counseling -0.0916388086 -0.0242045369
+## Psychology -0.1357897667 0.0647515746
+## Reading 0.0184423539 -0.1211495137
+## School.Psychology -0.0075427599 -0.1352911200
+## Science.Education 0.0357796587 0.0368691270
+## Sexuality..Women.and.Gender.in.Psychology 0.1453887937 -0.0006447972
+## Social.Organizational.Psychology 0.1251891536 0.0033835719
+## Sociology 0.1569852303 -0.1877789764
+## Spirituality.Mind.Body -0.1169979965 -0.0968114583
+## School.Principals -0.0548057624 -0.1141928176
+## Urban.Education 0.1351187702 -0.1098221725
+## Counseling.Psychology 0.0945655664 0.0269657395
+## Communication.Media.and.Learning.Technologies -0.1703499835 -0.0291613294
+## PC31 PC32
+## Adult.Education 0.043883085 0.053364020
+## Anthropology 0.245264285 0.132697619
+## Social.Studies -0.092582504 0.012866393
+## Physiology -0.253859924 0.149345846
+## Behavior.Analysis -0.049371928 0.116174061
+## Linguistics -0.104360813 -0.148387718
+## Art.Education 0.237052218 0.197236262
+## Teaching.English -0.126857610 0.170355423
+## Arts.Administration -0.092714045 0.005889031
+## Bilingual.Bicultural.Education -0.110744899 -0.009416583
+## Clinical.Psychology -0.133748469 -0.115948564
+## Cognitive.Science 0.192133233 -0.020081431
+## College.Advising 0.004669708 0.174819317
+## Communication.Sciences.and.Disorders -0.104680475 0.065776257
+## Cooperation.and.Conflict.Resolution -0.117419183 -0.138043478
+## Creative.Technologies -0.115297931 -0.069330790
+## Curriculum.and.Teaching 0.044008299 -0.038671951
+## Dance.Education 0.032902443 0.075125637
+## Deaf.and.Hard.of.Hearing 0.112727888 0.029277365
+## Design.and.Development.of.Digital.Games 0.025573486 -0.003977751
+## Developmental.Psychology 0.025234117 0.044043158
+## Diabetes.Education 0.091042658 0.004059697
+## Early.Childhood.Education 0.022088130 -0.143924488
+## Early.Childhood.Special.Education -0.213521741 -0.164970266
+## Economics.and.Education 0.048434027 0.276714647
+## Education.Technology -0.012262717 0.126320853
+## Education.Leadership -0.022464778 0.078153111
+## Education.Policy -0.097255881 0.160866786
+## Inclusive.Education -0.021161504 0.095092087
+## English.Education 0.073255640 -0.134929331
+## Change.Leadership 0.066458188 -0.174210725
+## Nursing 0.052775113 -0.070305803
+## Gifted.Education -0.060498279 -0.042712414
+## Health.Education 0.059102611 -0.086337103
+## Higher.and.Postsecondary.Education -0.173126703 -0.028540902
+## History 0.113683357 0.104111244
+## Instructional.Technology.and.Media 0.066413231 -0.033489390
+## Intellectual.Disability.Autism -0.183414943 -0.001234016
+## International.and.Comparative.Education 0.205051992 -0.122053400
+## Kinesiology 0.078846690 -0.134245215
+## Learning.Analytics -0.108884617 0.134941650
+## Literacy 0.132513080 0.114686273
+## Mathematics -0.052052112 -0.101564956
+## Measurement..Evaluation.and.Statistics -0.002808683 0.051942439
+## Motor.Learning.and.Control 0.012176703 -0.314890116
+## Movement.Science 0.126753783 0.038305572
+## Music 0.033556978 -0.098148648
+## Neuroscience -0.076371759 0.150450716
+## Nutrition -0.178044514 0.020939460
+## Leadership -0.012741325 -0.149967155
+## Philosophy -0.008130992 -0.161068498
+## Physical.Education 0.165276243 -0.131870093
+## Politics 0.198372157 -0.270386774
+## Private.School.Leadership 0.034009937 -0.150904300
+## Psychological.Counseling 0.062402653 -0.092550422
+## Psychology 0.030282860 0.094364116
+## Reading -0.115153280 -0.029480961
+## School.Psychology 0.163010468 -0.111924903
+## Science.Education -0.052372816 -0.140470246
+## Sexuality..Women.and.Gender.in.Psychology -0.168481038 0.080172184
+## Social.Organizational.Psychology 0.116078230 0.110298413
+## Sociology -0.042159346 -0.064769948
+## Spirituality.Mind.Body -0.066081224 -0.097892583
+## School.Principals 0.032629324 0.158655735
+## Urban.Education -0.063290748 -0.153344900
+## Counseling.Psychology 0.346300300 0.099569196
+## Communication.Media.and.Learning.Technologies -0.238521408 0.002628288
+## PC33 PC34
+## Adult.Education -0.024084550 -0.0821580364
+## Anthropology -0.144355484 0.0783470702
+## Social.Studies -0.042619407 -0.1683314628
+## Physiology 0.095200567 -0.1532510412
+## Behavior.Analysis -0.114895063 -0.0028277919
+## Linguistics -0.111708830 0.0498277172
+## Art.Education -0.030059825 -0.0543239377
+## Teaching.English 0.009307747 0.2385319024
+## Arts.Administration -0.029339435 0.0815395977
+## Bilingual.Bicultural.Education 0.099681221 0.0115169773
+## Clinical.Psychology -0.425143399 -0.1005958845
+## Cognitive.Science -0.009658185 0.0653903770
+## College.Advising 0.045210546 -0.0428646534
+## Communication.Sciences.and.Disorders 0.110013958 -0.0249352593
+## Cooperation.and.Conflict.Resolution 0.109846671 -0.1967723735
+## Creative.Technologies 0.031970106 0.0356018827
+## Curriculum.and.Teaching 0.151178784 -0.0668275129
+## Dance.Education -0.125684324 -0.0469254295
+## Deaf.and.Hard.of.Hearing 0.043538227 0.0203044949
+## Design.and.Development.of.Digital.Games 0.134226002 0.0654728050
+## Developmental.Psychology -0.164201139 -0.0928910553
+## Diabetes.Education 0.061122720 0.1605994879
+## Early.Childhood.Education 0.028696741 0.0409715997
+## Early.Childhood.Special.Education -0.076527112 -0.0377718981
+## Economics.and.Education 0.191830713 0.0420228186
+## Education.Technology 0.094841657 -0.2350864915
+## Education.Leadership 0.085847253 0.1635033550
+## Education.Policy -0.094071252 0.0004447456
+## Inclusive.Education -0.011937654 0.1263948269
+## English.Education 0.042392029 -0.1943238926
+## Change.Leadership 0.083689616 0.2851363866
+## Nursing 0.151455610 0.0317311670
+## Gifted.Education -0.013909663 0.0782665475
+## Health.Education -0.248628465 0.2194385079
+## Higher.and.Postsecondary.Education -0.098760309 0.1782811262
+## History -0.078149542 -0.1370863120
+## Instructional.Technology.and.Media -0.035995347 -0.0114302311
+## Intellectual.Disability.Autism -0.127392850 0.2135810235
+## International.and.Comparative.Education -0.088086682 0.1298432339
+## Kinesiology 0.225125971 -0.0434823130
+## Learning.Analytics -0.169442561 -0.0346347926
+## Literacy 0.094430529 -0.0294954807
+## Mathematics 0.033539694 -0.0537782736
+## Measurement..Evaluation.and.Statistics -0.145626053 0.0152594131
+## Motor.Learning.and.Control -0.011278577 0.0129770393
+## Movement.Science 0.072183801 -0.0828947900
+## Music 0.023389804 0.2091628124
+## Neuroscience 0.150505099 -0.0126612009
+## Nutrition -0.022273653 -0.0767316600
+## Leadership 0.079722814 0.0686598346
+## Philosophy -0.018355663 0.0731809452
+## Physical.Education -0.193431379 -0.0742162511
+## Politics -0.019385761 -0.0560884408
+## Private.School.Leadership 0.012891285 -0.1764636060
+## Psychological.Counseling 0.205785072 -0.1097703476
+## Psychology 0.038110844 0.0497368566
+## Reading -0.109463015 -0.1335012691
+## School.Psychology 0.046237386 -0.0957675706
+## Science.Education -0.032061009 0.1039858776
+## Sexuality..Women.and.Gender.in.Psychology 0.182958485 0.2832425334
+## Social.Organizational.Psychology -0.108825141 0.1865796589
+## Sociology -0.018750895 -0.1108507482
+## Spirituality.Mind.Body 0.336450424 -0.0383690415
+## School.Principals -0.159754399 -0.2566071077
+## Urban.Education 0.003334697 -0.0844226307
+## Counseling.Psychology -0.035705042 0.0691580922
+## Communication.Media.and.Learning.Technologies -0.014850648 0.0221167226
+## PC35 PC36
+## Adult.Education -0.252310676 0.163622584
+## Anthropology -0.106880084 -0.158262132
+## Social.Studies -0.040951870 -0.039738968
+## Physiology -0.114037799 0.175153317
+## Behavior.Analysis 0.087834469 -0.170812639
+## Linguistics -0.096057184 0.049029500
+## Art.Education -0.018395512 0.179076792
+## Teaching.English 0.045782968 -0.074089976
+## Arts.Administration 0.158151472 0.210155552
+## Bilingual.Bicultural.Education -0.073132079 -0.088725097
+## Clinical.Psychology 0.200165392 0.048924511
+## Cognitive.Science -0.025324589 0.058480999
+## College.Advising 0.122453768 -0.104919798
+## Communication.Sciences.and.Disorders 0.027155469 -0.088792735
+## Cooperation.and.Conflict.Resolution -0.094767360 -0.064452954
+## Creative.Technologies 0.154509594 -0.078389687
+## Curriculum.and.Teaching -0.003950309 -0.011553445
+## Dance.Education -0.193439408 -0.027680380
+## Deaf.and.Hard.of.Hearing 0.062281593 0.067320622
+## Design.and.Development.of.Digital.Games 0.008916418 -0.054049686
+## Developmental.Psychology -0.099651345 0.201714536
+## Diabetes.Education -0.258204462 0.012208886
+## Early.Childhood.Education 0.086671809 -0.042638510
+## Early.Childhood.Special.Education -0.059232143 0.080472135
+## Economics.and.Education -0.049752915 -0.095399081
+## Education.Technology -0.035201271 -0.196316586
+## Education.Leadership -0.003855265 0.065254346
+## Education.Policy 0.096773608 -0.145802764
+## Inclusive.Education -0.085519004 0.056917078
+## English.Education -0.041169178 -0.014701145
+## Change.Leadership -0.092970281 -0.109676934
+## Nursing 0.053545357 -0.186326239
+## Gifted.Education 0.152905341 0.228803250
+## Health.Education -0.074701874 -0.227462433
+## Higher.and.Postsecondary.Education -0.222823078 0.053065033
+## History -0.026748855 0.089435273
+## Instructional.Technology.and.Media -0.023139946 -0.042574189
+## Intellectual.Disability.Autism -0.035261644 -0.129430229
+## International.and.Comparative.Education -0.074773472 0.266835191
+## Kinesiology 0.087376608 0.090864567
+## Learning.Analytics 0.295941564 0.015358180
+## Literacy 0.065097311 0.019771131
+## Mathematics -0.071904861 0.029286799
+## Measurement..Evaluation.and.Statistics -0.260555528 0.002057909
+## Motor.Learning.and.Control 0.093324129 0.038057098
+## Movement.Science 0.100536853 -0.182991318
+## Music -0.014554133 0.174476764
+## Neuroscience -0.036236230 0.134286215
+## Nutrition 0.152891713 0.072577087
+## Leadership 0.058854348 0.085734204
+## Philosophy 0.142151364 -0.220997108
+## Physical.Education -0.219815087 -0.173434678
+## Politics 0.088908686 -0.113875353
+## Private.School.Leadership 0.088414700 0.112573520
+## Psychological.Counseling 0.134899127 -0.023618312
+## Psychology 0.039397074 0.013434874
+## Reading 0.136847762 0.077771289
+## School.Psychology -0.049095312 0.107788475
+## Science.Education 0.056537778 -0.236639983
+## Sexuality..Women.and.Gender.in.Psychology 0.124265275 0.034535544
+## Social.Organizational.Psychology 0.086991738 0.103186038
+## Sociology -0.126847294 0.109627992
+## Spirituality.Mind.Body -0.195037042 -0.082221130
+## School.Principals -0.030343407 -0.211904693
+## Urban.Education -0.040080309 -0.064234980
+## Counseling.Psychology 0.173055020 -0.011140243
+## Communication.Media.and.Learning.Technologies -0.253456628 -0.098584097
+## PC37 PC38
+## Adult.Education 0.293492860 -0.111857109
+## Anthropology 0.030766694 -0.062009140
+## Social.Studies 0.216051161 0.132227412
+## Physiology 0.200220901 -0.028308094
+## Behavior.Analysis 0.177999946 0.248385784
+## Linguistics -0.025308432 -0.066967134
+## Art.Education 0.031653082 0.140478564
+## Teaching.English 0.044925439 -0.039500155
+## Arts.Administration -0.002328994 -0.250532898
+## Bilingual.Bicultural.Education -0.102737167 0.040623011
+## Clinical.Psychology 0.013349073 -0.012684653
+## Cognitive.Science 0.054997087 0.167732487
+## College.Advising 0.169631784 0.259845169
+## Communication.Sciences.and.Disorders 0.031408205 0.103844976
+## Cooperation.and.Conflict.Resolution -0.072902953 0.046335554
+## Creative.Technologies -0.109672255 -0.121684648
+## Curriculum.and.Teaching -0.028004168 -0.101180672
+## Dance.Education 0.051696912 -0.039952053
+## Deaf.and.Hard.of.Hearing -0.002916264 -0.038936684
+## Design.and.Development.of.Digital.Games 0.146160662 -0.052645660
+## Developmental.Psychology -0.173592598 -0.037579704
+## Diabetes.Education 0.113643789 0.045410029
+## Early.Childhood.Education 0.057281108 0.067577720
+## Early.Childhood.Special.Education -0.134145236 0.083983229
+## Economics.and.Education -0.198150504 0.046441000
+## Education.Technology -0.265404720 0.159870549
+## Education.Leadership 0.048163116 -0.060919244
+## Education.Policy 0.042205184 -0.066840521
+## Inclusive.Education 0.101662173 0.058137582
+## English.Education -0.079127917 -0.075898955
+## Change.Leadership -0.147934594 0.138338695
+## Nursing 0.139851030 -0.025359522
+## Gifted.Education 0.126975573 0.111535214
+## Health.Education -0.055232213 -0.009324987
+## Higher.and.Postsecondary.Education -0.012669863 0.005689430
+## History -0.036496338 0.162636320
+## Instructional.Technology.and.Media -0.117965583 0.034803640
+## Intellectual.Disability.Autism -0.178601919 0.192118650
+## International.and.Comparative.Education 0.143057682 -0.125343849
+## Kinesiology -0.040867176 -0.141458371
+## Learning.Analytics -0.025003972 0.112962755
+## Literacy -0.067699147 0.126837222
+## Mathematics 0.001977426 -0.148364716
+## Measurement..Evaluation.and.Statistics 0.238353436 0.047931787
+## Motor.Learning.and.Control -0.045189780 0.049576220
+## Movement.Science 0.044291296 -0.079866499
+## Music -0.170406132 0.142845046
+## Neuroscience -0.101045529 -0.033577323
+## Nutrition 0.003015102 0.029281156
+## Leadership 0.069248546 -0.095968432
+## Philosophy 0.086819280 -0.128634092
+## Physical.Education 0.010105160 -0.060698708
+## Politics 0.020688093 0.119874135
+## Private.School.Leadership 0.057243438 0.036625071
+## Psychological.Counseling 0.219368956 0.061241963
+## Psychology -0.087698352 -0.143621026
+## Reading 0.007962547 -0.035050957
+## School.Psychology -0.137253419 0.303257767
+## Science.Education 0.131047912 -0.078560842
+## Sexuality..Women.and.Gender.in.Psychology 0.037629614 -0.059783625
+## Social.Organizational.Psychology -0.074982423 -0.065915162
+## Sociology -0.282838278 -0.012143709
+## Spirituality.Mind.Body 0.008334944 -0.126353991
+## School.Principals -0.085639387 -0.402189184
+## Urban.Education 0.269160336 0.153363224
+## Counseling.Psychology -0.002108631 -0.133844525
+## Communication.Media.and.Learning.Technologies 0.010821259 0.022982075
+## PC39 PC40
+## Adult.Education -0.088054583 -0.090877384
+## Anthropology 0.060186087 0.090897809
+## Social.Studies -0.085778349 0.046792376
+## Physiology 0.151981380 -0.107961590
+## Behavior.Analysis 0.183503805 -0.024404212
+## Linguistics 0.158118671 -0.168101976
+## Art.Education -0.013723471 -0.293296226
+## Teaching.English 0.105372648 -0.025605536
+## Arts.Administration 0.087555072 -0.054199472
+## Bilingual.Bicultural.Education -0.077028853 -0.063757352
+## Clinical.Psychology -0.004877399 -0.104053581
+## Cognitive.Science 0.055287841 0.055288216
+## College.Advising -0.013442224 -0.118107885
+## Communication.Sciences.and.Disorders -0.060042219 0.311943293
+## Cooperation.and.Conflict.Resolution -0.060132064 -0.035964216
+## Creative.Technologies 0.170965002 -0.106940639
+## Curriculum.and.Teaching 0.231526431 -0.111144204
+## Dance.Education -0.080573578 0.105672571
+## Deaf.and.Hard.of.Hearing -0.065500671 -0.163109379
+## Design.and.Development.of.Digital.Games 0.117819402 0.269233800
+## Developmental.Psychology 0.119619054 0.136292522
+## Diabetes.Education 0.234270607 -0.029184908
+## Early.Childhood.Education 0.151530932 -0.199517063
+## Early.Childhood.Special.Education 0.015806597 0.022357853
+## Economics.and.Education 0.029832322 0.053347275
+## Education.Technology -0.001285066 -0.091522710
+## Education.Leadership -0.132724012 0.020442573
+## Education.Policy 0.388004813 0.023875497
+## Inclusive.Education -0.147981993 -0.003236721
+## English.Education -0.241300745 -0.007679109
+## Change.Leadership -0.183437041 -0.032626350
+## Nursing 0.013338813 -0.009472267
+## Gifted.Education -0.204454618 0.164590788
+## Health.Education -0.075617349 0.076649818
+## Higher.and.Postsecondary.Education 0.150342434 0.037256890
+## History -0.030778045 -0.016752736
+## Instructional.Technology.and.Media -0.007695293 0.120813829
+## Intellectual.Disability.Autism -0.102104772 -0.141311247
+## International.and.Comparative.Education 0.059144136 -0.009947363
+## Kinesiology -0.092247580 -0.123320716
+## Learning.Analytics -0.014156788 -0.201202386
+## Literacy -0.081955266 -0.104796517
+## Mathematics 0.020467617 0.069855426
+## Measurement..Evaluation.and.Statistics -0.119378582 -0.038731836
+## Motor.Learning.and.Control 0.088700025 -0.171104889
+## Movement.Science 0.161325524 0.228554735
+## Music 0.054556558 0.135012065
+## Neuroscience -0.117875934 -0.133325962
+## Nutrition -0.107528802 0.158905760
+## Leadership 0.022638338 0.042367056
+## Philosophy -0.285623092 0.058565548
+## Physical.Education -0.004734468 -0.170817377
+## Politics 0.152984170 -0.164589484
+## Private.School.Leadership -0.064571330 0.152784125
+## Psychological.Counseling 0.059322687 -0.034060071
+## Psychology -0.133252840 -0.097061423
+## Reading 0.099652781 0.203891247
+## School.Psychology 0.154776977 0.224603037
+## Science.Education 0.002556050 0.028071320
+## Sexuality..Women.and.Gender.in.Psychology -0.011446371 -0.009459377
+## Social.Organizational.Psychology 0.016644452 -0.002067366
+## Sociology 0.138025772 0.128810194
+## Spirituality.Mind.Body 0.092177378 -0.099601570
+## School.Principals -0.091452612 0.004086935
+## Urban.Education -0.037109864 0.054111971
+## Counseling.Psychology 0.034350342 0.102623067
+## Communication.Media.and.Learning.Technologies 0.001249080 0.004688989
+## PC41 PC42
+## Adult.Education 0.0391016655 0.0742289888
+## Anthropology -0.1005129586 -0.0205583444
+## Social.Studies -0.3502959499 0.0860155647
+## Physiology 0.1169910306 -0.1985058508
+## Behavior.Analysis 0.1117705507 0.2172080064
+## Linguistics 0.0059335670 0.0061314646
+## Art.Education -0.1963596565 -0.1645073726
+## Teaching.English -0.0692975326 0.0017801491
+## Arts.Administration -0.0679086022 -0.0329405373
+## Bilingual.Bicultural.Education 0.2112300831 0.1198786631
+## Clinical.Psychology -0.0940456266 -0.1470412335
+## Cognitive.Science 0.0449742245 -0.1083548309
+## College.Advising -0.0646436524 -0.0369201010
+## Communication.Sciences.and.Disorders -0.0478765693 -0.1235246521
+## Cooperation.and.Conflict.Resolution 0.0007943049 -0.0330604085
+## Creative.Technologies 0.0495040601 0.2027963673
+## Curriculum.and.Teaching -0.0494350194 0.0700555594
+## Dance.Education 0.0283119719 0.2082640604
+## Deaf.and.Hard.of.Hearing -0.0462415164 0.0371007542
+## Design.and.Development.of.Digital.Games 0.0126016651 -0.2261495780
+## Developmental.Psychology 0.0491599743 0.0299656196
+## Diabetes.Education 0.1167524665 -0.2445617344
+## Early.Childhood.Education -0.1334615063 0.1626494752
+## Early.Childhood.Special.Education -0.1380484528 -0.1280685371
+## Economics.and.Education -0.0830370562 0.1468856115
+## Education.Technology -0.1872489459 -0.2437991196
+## Education.Leadership 0.0849767563 0.2353710169
+## Education.Policy -0.0862922944 0.0481270699
+## Inclusive.Education -0.1150913945 0.0006641357
+## English.Education -0.0313590568 -0.0248203149
+## Change.Leadership 0.0530103844 -0.1745081734
+## Nursing -0.1053417833 0.0923898384
+## Gifted.Education 0.1843581668 0.1593200493
+## Health.Education -0.0119691846 0.0560255147
+## Higher.and.Postsecondary.Education -0.1967745645 -0.0640120858
+## History 0.0809135154 0.0877450090
+## Instructional.Technology.and.Media -0.3168529129 0.1298539807
+## Intellectual.Disability.Autism 0.0729958993 0.0508716663
+## International.and.Comparative.Education -0.0545055397 0.0319768442
+## Kinesiology -0.1864888607 0.1338415850
+## Learning.Analytics 0.0979681958 0.0204049631
+## Literacy 0.1468042134 0.0546433670
+## Mathematics -0.1779282648 0.0560487461
+## Measurement..Evaluation.and.Statistics 0.0682800432 0.1503272150
+## Motor.Learning.and.Control 0.1295641897 0.0854429253
+## Movement.Science -0.0137701849 0.1054861642
+## Music -0.0012644636 0.0430254464
+## Neuroscience -0.0429978964 -0.0078028727
+## Nutrition -0.1928201369 0.0798698261
+## Leadership -0.0642205024 0.0157546701
+## Philosophy 0.0600352366 -0.1161469463
+## Physical.Education 0.0066950048 0.0041622855
+## Politics 0.0476564553 -0.1392142358
+## Private.School.Leadership -0.0230186418 -0.2710738521
+## Psychological.Counseling 0.2385759487 0.0522510555
+## Psychology -0.1054425627 0.0229616411
+## Reading 0.1225335144 -0.0385100987
+## School.Psychology 0.0949746329 0.0562789989
+## Science.Education -0.0759571610 -0.0007199544
+## Sexuality..Women.and.Gender.in.Psychology 0.0423699816 -0.2088054766
+## Social.Organizational.Psychology -0.0977647011 -0.0283630202
+## Sociology 0.0651469578 0.2126759793
+## Spirituality.Mind.Body -0.0332074673 0.0682698329
+## School.Principals 0.2435873185 -0.0823092259
+## Urban.Education -0.1613401597 0.1020880407
+## Counseling.Psychology 0.0337540604 -0.0988080770
+## Communication.Media.and.Learning.Technologies 0.1608698202 -0.1107905128
+## PC43 PC44
+## Adult.Education 0.186907981 -0.006156102
+## Anthropology -0.032680753 0.040744563
+## Social.Studies 0.069177799 0.221309903
+## Physiology -0.025528960 -0.081386409
+## Behavior.Analysis 0.004191675 -0.249127024
+## Linguistics 0.093010465 -0.165185392
+## Art.Education 0.029813901 0.130766281
+## Teaching.English 0.048297989 0.086837969
+## Arts.Administration -0.060193467 -0.025130584
+## Bilingual.Bicultural.Education -0.303593266 0.131573445
+## Clinical.Psychology -0.037279651 0.074256542
+## Cognitive.Science -0.103681710 -0.064250064
+## College.Advising -0.194994921 -0.057891393
+## Communication.Sciences.and.Disorders -0.201402553 0.273500814
+## Cooperation.and.Conflict.Resolution 0.183748443 -0.040846961
+## Creative.Technologies 0.019035877 0.080206690
+## Curriculum.and.Teaching 0.070722121 0.063734191
+## Dance.Education -0.098696966 -0.214808264
+## Deaf.and.Hard.of.Hearing -0.099306114 -0.098371015
+## Design.and.Development.of.Digital.Games -0.025997898 -0.055389989
+## Developmental.Psychology -0.032089127 -0.068086187
+## Diabetes.Education -0.004109087 0.180040430
+## Early.Childhood.Education -0.125908236 -0.082980045
+## Early.Childhood.Special.Education 0.167845653 0.076692814
+## Economics.and.Education 0.124909704 -0.159310321
+## Education.Technology 0.178312857 -0.094563979
+## Education.Leadership 0.101922655 0.169886934
+## Education.Policy -0.125733457 0.100020069
+## Inclusive.Education 0.130741235 0.079309007
+## English.Education 0.054236665 -0.146098916
+## Change.Leadership 0.046039131 -0.047580979
+## Nursing 0.332011142 -0.090425244
+## Gifted.Education 0.120244691 -0.047562552
+## Health.Education 0.028884378 -0.088017239
+## Higher.and.Postsecondary.Education -0.089692731 -0.113267419
+## History -0.013728422 0.070954290
+## Instructional.Technology.and.Media -0.011023823 -0.085725606
+## Intellectual.Disability.Autism 0.036175465 0.172087640
+## International.and.Comparative.Education 0.215530236 0.084180800
+## Kinesiology -0.076337770 0.250580726
+## Learning.Analytics 0.183758642 0.060366680
+## Literacy 0.091126465 0.213148677
+## Mathematics 0.003556447 -0.008530446
+## Measurement..Evaluation.and.Statistics -0.118680116 0.081867145
+## Motor.Learning.and.Control -0.152720010 0.158732775
+## Movement.Science 0.164983602 0.116984139
+## Music 0.059459180 -0.022957822
+## Neuroscience -0.169721363 0.002407648
+## Nutrition 0.050911908 -0.022425665
+## Leadership -0.027529788 0.022587508
+## Philosophy -0.090836273 -0.099530014
+## Physical.Education 0.116917401 0.032695227
+## Politics 0.043090440 -0.021315776
+## Private.School.Leadership -0.223320643 -0.083649661
+## Psychological.Counseling 0.034704146 -0.261734880
+## Psychology -0.038713796 -0.125098956
+## Reading 0.254108018 0.016067260
+## School.Psychology 0.061840703 0.099694921
+## Science.Education -0.024256764 0.134914735
+## Sexuality..Women.and.Gender.in.Psychology 0.180722432 -0.009689950
+## Social.Organizational.Psychology -0.127917308 -0.258370900
+## Sociology -0.097181260 0.048162912
+## Spirituality.Mind.Body -0.085478529 -0.027204009
+## School.Principals -0.003217558 0.108049144
+## Urban.Education -0.104375723 0.068593098
+## Counseling.Psychology -0.019136097 0.189014318
+## Communication.Media.and.Learning.Technologies 0.087590723 0.082760132
+## PC45 PC46
+## Adult.Education -0.1375233377 0.006649389
+## Anthropology 0.0179267952 0.140226384
+## Social.Studies 0.0382126245 -0.020570217
+## Physiology -0.0531814498 0.002053699
+## Behavior.Analysis 0.3078486503 0.070598476
+## Linguistics 0.0419251080 0.037499579
+## Art.Education 0.1200528787 -0.245957357
+## Teaching.English -0.2276120262 -0.083460892
+## Arts.Administration 0.2674235569 -0.202025958
+## Bilingual.Bicultural.Education 0.0649546431 -0.192515858
+## Clinical.Psychology -0.0167396415 -0.057122997
+## Cognitive.Science 0.0999505008 0.165610446
+## College.Advising -0.0886549656 0.055239567
+## Communication.Sciences.and.Disorders 0.0005739029 -0.065745983
+## Cooperation.and.Conflict.Resolution 0.0931517965 0.150120634
+## Creative.Technologies -0.1089726447 0.171098218
+## Curriculum.and.Teaching 0.0151531812 -0.003108921
+## Dance.Education -0.2237725169 0.009384882
+## Deaf.and.Hard.of.Hearing -0.1169018039 0.132710890
+## Design.and.Development.of.Digital.Games 0.0358290702 -0.153801297
+## Developmental.Psychology -0.2985631057 -0.102282477
+## Diabetes.Education 0.0603088065 -0.021036486
+## Early.Childhood.Education -0.1592279959 0.151539270
+## Early.Childhood.Special.Education 0.1138947491 0.035450669
+## Economics.and.Education 0.0782532974 -0.218686816
+## Education.Technology -0.1436547306 -0.016387532
+## Education.Leadership 0.1529339344 -0.056255818
+## Education.Policy 0.1207460410 -0.036694652
+## Inclusive.Education -0.1378188574 0.208081464
+## English.Education 0.1060798127 -0.189992514
+## Change.Leadership 0.0255274017 -0.064107891
+## Nursing -0.0398664181 -0.026865797
+## Gifted.Education 0.0167792846 0.118656965
+## Health.Education -0.1572614168 -0.201213516
+## Higher.and.Postsecondary.Education 0.0259679338 0.112053342
+## History -0.2502004048 0.014345500
+## Instructional.Technology.and.Media 0.0540149576 -0.034620539
+## Intellectual.Disability.Autism 0.0897838879 -0.074131875
+## International.and.Comparative.Education 0.0537033266 -0.096201715
+## Kinesiology -0.0093321970 0.111853398
+## Learning.Analytics -0.1682367009 -0.151019656
+## Literacy 0.1402541855 0.208745367
+## Mathematics 0.0093997184 -0.039244214
+## Measurement..Evaluation.and.Statistics 0.0609093408 0.061553758
+## Motor.Learning.and.Control -0.1210029210 -0.084592286
+## Movement.Science -0.0007374364 0.176564790
+## Music 0.1234738621 0.140474227
+## Neuroscience 0.0143707772 0.015515790
+## Nutrition 0.0156495594 -0.021709121
+## Leadership -0.2408260586 -0.140925694
+## Philosophy -0.0527749181 0.040472722
+## Physical.Education 0.2052237503 -0.055010198
+## Politics -0.0638062517 0.140512341
+## Private.School.Leadership 0.0859524896 0.146485550
+## Psychological.Counseling 0.0732783955 -0.323387579
+## Psychology 0.0419367397 -0.038813166
+## Reading -0.0072994477 -0.018774385
+## School.Psychology -0.1720254647 -0.074558918
+## Science.Education -0.0252364455 -0.090236747
+## Sexuality..Women.and.Gender.in.Psychology -0.0469315534 0.178635263
+## Social.Organizational.Psychology -0.0206491773 0.117129879
+## Sociology 0.1301504103 -0.003114033
+## Spirituality.Mind.Body -0.1408092323 0.001258967
+## School.Principals 0.0584016057 0.189581228
+## Urban.Education 0.0206381753 -0.081032190
+## Counseling.Psychology -0.0824381918 -0.143968477
+## Communication.Media.and.Learning.Technologies -0.1399706252 -0.062657344
+## PC47 PC48
+## Adult.Education 0.081615972 0.014969729
+## Anthropology -0.042874136 0.106160552
+## Social.Studies -0.178681211 -0.033196539
+## Physiology -0.003010993 -0.106564547
+## Behavior.Analysis -0.115995982 0.153463216
+## Linguistics 0.104825143 0.043024944
+## Art.Education -0.044345697 0.055798502
+## Teaching.English -0.097731828 0.054205357
+## Arts.Administration -0.012880085 -0.108046667
+## Bilingual.Bicultural.Education -0.110943262 0.106166895
+## Clinical.Psychology -0.168608229 -0.044542356
+## Cognitive.Science 0.140890499 0.085257720
+## College.Advising -0.023650935 0.120967260
+## Communication.Sciences.and.Disorders -0.038723039 -0.126763175
+## Cooperation.and.Conflict.Resolution -0.112350365 0.175022125
+## Creative.Technologies -0.114471894 0.158277008
+## Curriculum.and.Teaching 0.049139681 -0.028674353
+## Dance.Education 0.084509153 -0.137432084
+## Deaf.and.Hard.of.Hearing -0.150558360 -0.180287728
+## Design.and.Development.of.Digital.Games -0.074340911 0.064442454
+## Developmental.Psychology -0.065305525 0.134772979
+## Diabetes.Education 0.002812919 0.240097983
+## Early.Childhood.Education -0.079541779 -0.295667074
+## Early.Childhood.Special.Education 0.117573703 -0.142281572
+## Economics.and.Education -0.149828373 -0.043687538
+## Education.Technology 0.067194653 0.095676936
+## Education.Leadership 0.119055072 -0.107051170
+## Education.Policy 0.465898838 -0.136800578
+## Inclusive.Education 0.085415920 -0.013555659
+## English.Education 0.137337888 0.228841879
+## Change.Leadership -0.099560632 -0.158519864
+## Nursing 0.259505613 0.014309679
+## Gifted.Education -0.075936786 0.153959964
+## Health.Education -0.120937859 0.010866597
+## Higher.and.Postsecondary.Education 0.083027086 0.111270832
+## History 0.135399839 -0.035756317
+## Instructional.Technology.and.Media 0.126056481 -0.065629602
+## Intellectual.Disability.Autism 0.198350175 0.029032885
+## International.and.Comparative.Education -0.093068135 -0.031079290
+## Kinesiology 0.028659796 0.033083035
+## Learning.Analytics 0.006869561 -0.028372700
+## Literacy -0.027853938 -0.107783428
+## Mathematics -0.153389045 -0.075203639
+## Measurement..Evaluation.and.Statistics 0.060273975 -0.097114517
+## Motor.Learning.and.Control 0.189848854 0.235980608
+## Movement.Science -0.002225714 -0.041724864
+## Music 0.072856486 0.030515450
+## Neuroscience 0.168206519 0.033263857
+## Nutrition 0.071010414 0.131607856
+## Leadership 0.145124952 0.208853360
+## Philosophy 0.258453060 -0.142033697
+## Physical.Education 0.016978168 -0.054952180
+## Politics -0.098679298 -0.084396441
+## Private.School.Leadership 0.040128242 -0.137201732
+## Psychological.Counseling 0.033277441 -0.129793428
+## Psychology 0.072421414 0.058781921
+## Reading -0.001511294 -0.037176460
+## School.Psychology 0.113636999 -0.041418248
+## Science.Education -0.191117736 0.031367547
+## Sexuality..Women.and.Gender.in.Psychology -0.071699170 0.097338908
+## Social.Organizational.Psychology -0.011526339 0.109226154
+## Sociology -0.168578681 -0.065849525
+## Spirituality.Mind.Body -0.087112922 -0.001818884
+## School.Principals 0.011403892 0.182787689
+## Urban.Education 0.006116297 0.293954208
+## Counseling.Psychology 0.036438672 -0.031679680
+## Communication.Media.and.Learning.Technologies 0.014204338 -0.233124996
+## PC49 PC50
+## Adult.Education 0.100251820 0.020590736
+## Anthropology 0.000228099 0.093904586
+## Social.Studies -0.217893054 -0.150700711
+## Physiology -0.107310660 -0.057677308
+## Behavior.Analysis -0.119441623 -0.050875617
+## Linguistics -0.038917850 0.045797496
+## Art.Education 0.131767242 0.066678693
+## Teaching.English -0.201261255 -0.246879542
+## Arts.Administration -0.317824427 0.133640741
+## Bilingual.Bicultural.Education 0.170281485 0.048454658
+## Clinical.Psychology 0.127453284 0.022465916
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+## [69,] -0.28591342 -0.5719024 -0.81619147 0.898971219 -1.244355326 1.09429039
+## PC7 PC8 PC9 PC10 PC11 PC12
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+## [69,] 0.25038298 -0.287449747 -1.04074945 0.808988187 -0.79370275 0.49722238
+## PC13 PC14 PC15 PC16 PC17
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+## [51,] 1.25446028 -0.53312016 -0.98088878 0.781687001 5.768018e-01
+## [52,] -2.05553406 0.15699566 1.71882430 -2.380019020 1.032911e+00
+## [53,] -1.61448088 1.71043636 1.09233249 0.143333445 5.037567e-01
+## [54,] -0.99569493 1.44167703 -1.02251138 0.124423288 1.174829e-01
+## [55,] -0.15558224 -0.50275648 0.79443726 1.304167252 2.443771e+00
+## [56,] -0.71881975 -2.58307037 -0.21609003 -1.137929443 -1.455981e+00
+## [57,] -0.50608552 -1.28447227 1.48884974 1.069969580 1.356329e+00
+## [58,] -0.78410999 -1.86773393 -1.50046719 1.186180139 3.183332e+00
+## [59,] -0.77581218 -1.39163034 0.82128644 1.638943232 -4.952254e-01
+## [60,] 3.73358377 -0.89381674 -0.92723956 -2.870066287 7.267504e-01
+## [61,] -1.05787220 1.44096863 1.61566990 -1.213850002 -1.665411e+00
+## [62,] -1.66533292 -2.09972925 -1.46633205 -0.981517568 -1.622986e+00
+## [63,] -0.17724441 2.50894678 0.62086273 -1.015354735 -6.084219e-01
+## [64,] -2.15262093 0.67690052 1.67119651 -0.002751434 5.278889e-02
+## [65,] -0.62065488 0.45172878 0.67567201 -2.418407728 -1.165219e+00
+## [66,] 2.76661807 -1.61326866 -0.02119340 1.192651386 3.050795e-02
+## [67,] 1.14328419 0.17695023 -0.37771379 -0.155496997 -1.630975e+00
+## [68,] 0.46143728 0.69543868 -0.32601606 1.299571449 -5.641365e-01
+## [69,] 0.04121511 0.52227305 0.08720324 -0.090806380 -1.139883e-01
+## PC18 PC19 PC20 PC21 PC22 PC23
+## [1,] 0.04680581 0.89226878 -0.40764287 0.47070906 -0.136457311 -0.15277317
+## [2,] -0.95647830 -1.09755672 -0.63063093 0.02396071 -0.029102656 0.98414717
+## [3,] -1.57910879 -0.58016332 -0.02622885 -0.35827583 -0.166634633 -0.58838519
+## [4,] -2.00756900 1.88429552 0.25996867 -1.17196866 -0.249470160 1.74780428
+## [5,] 1.04470349 2.13972046 0.10346117 1.11760444 1.234856897 0.13229732
+## [6,] -2.09624269 0.63331281 -0.27922444 0.21709193 0.086628441 -0.02358238
+## [7,] 1.08650469 -0.62259590 2.84248276 1.59692910 1.656410578 -0.18869208
+## [8,] -1.39692023 -0.81481790 -2.72463578 1.19953709 -0.816993067 1.90943631
+## [9,] 0.68318285 -0.60334008 -0.04977761 0.20772953 -1.045758141 1.07334985
+## [10,] -1.03229989 -0.55275374 -0.74624789 -1.26317519 -0.795556693 -0.24422070
+## [11,] -1.16584730 -0.30147078 0.71623128 -1.66288908 -2.178099557 -0.39037384
+## [12,] -2.09822322 -0.43372545 -0.08376937 -0.34205759 1.468649289 -0.04465604
+## [13,] 1.56470677 -0.51956406 0.15823113 1.12260905 -1.727046441 -0.50314011
+## [14,] 1.16758845 2.14415302 0.55036050 0.89533024 0.006960058 -0.73885880
+## [15,] -0.77029650 0.45912496 -1.69268757 0.11547023 0.317185786 -0.49740553
+## [16,] -1.12405142 0.18973541 0.90091833 -0.08045548 -0.743561008 -1.23022898
+## [17,] 0.70637799 -1.44453369 -0.74478336 -0.33022118 2.046129304 -1.40844978
+## [18,] -0.93194401 1.95076531 -0.15646794 -3.57614088 -1.147283417 0.83708059
+## [19,] 1.51214157 0.58541024 -0.37535098 -1.62737820 0.870379269 1.11442207
+## [20,] -0.86375621 1.44773728 -1.57859312 -0.86877287 -0.644111787 0.05959507
+## [21,] -0.71048997 0.65390891 1.45514513 0.19683444 -0.735144497 -0.56514117
+## [22,] 1.45878893 -0.77785385 -1.47810733 -0.42214532 -0.280476846 -1.28393962
+## [23,] 0.03655549 1.05158150 1.25034138 0.85378039 0.290362839 2.11934615
+## [24,] 0.48324686 0.18518608 1.36624304 2.27925819 0.215669688 0.51699601
+## [25,] 0.89835145 -0.10200356 -0.50855610 1.07229975 1.011866571 0.21843952
+## [26,] 0.26391340 -0.93392335 1.81494738 -2.94826872 1.326788531 -0.68731304
+## [27,] 1.19816557 0.04452770 -1.46712136 0.10783829 -0.110896646 0.51655429
+## [28,] -0.38943229 -0.01331546 -0.73108240 -1.34172975 -0.432079156 -1.57023733
+## [29,] -0.60867085 -1.07825942 1.68622528 -0.79806256 0.714554323 -0.89154340
+## [30,] 1.13158429 0.88131409 0.49680816 -0.73509108 0.261873853 -0.84237674
+## [31,] -0.48622381 -0.74948031 1.64335739 1.64717038 0.231312135 0.29928320
+## [32,] -0.09157727 -2.20708151 0.37553031 -0.46641956 0.138985084 0.01441762
+## [33,] -0.24608014 0.88244523 1.55533803 -0.18567369 -0.426895478 -2.05509235
+## [34,] 0.81075365 0.61048440 -0.56594393 -1.34055080 -1.243434580 0.69441331
+## [35,] -0.88484707 0.25826535 -0.61668213 -0.77988491 1.442454480 -0.95377882
+## [36,] 0.86329926 -1.28009025 -0.45806839 -0.59494934 -1.820397074 0.12715305
+## [37,] 0.80883153 -1.13866110 0.46730135 0.30245812 1.115067623 -1.04703742
+## [38,] -0.35741719 -2.23927647 1.65092464 -0.35156331 -0.964342912 -0.01244796
+## [39,] -0.74313874 0.78859392 -1.23940455 -1.39318219 1.782698710 -0.88608229
+## [40,] 1.27475079 -0.32907609 0.13832345 -1.43220466 1.375019884 1.20330201
+## [41,] -1.13223618 -0.69759498 -0.67172036 1.24171567 1.730678312 -0.77838832
+## [42,] 0.66641151 0.68349399 -0.26563535 0.73254006 0.404888767 -1.66779963
+## [43,] 0.50509619 -1.66582180 -0.72914488 1.21887857 -1.203574458 0.57190062
+## [44,] -0.85222048 -1.67209612 -2.79190485 -0.07138081 -0.564475582 0.53247137
+## [45,] 0.04831398 -0.72976918 -0.43506051 0.93683878 -0.778518191 -0.67164155
+## [46,] -1.86283706 0.04478277 1.24631968 0.17191701 0.484120503 0.12670358
+## [47,] -0.88451951 -1.42325662 -0.12942836 0.14206509 -0.836538706 -1.48412007
+## [48,] 1.27571440 0.52492744 -1.01812329 0.19281873 -0.619304525 -0.14781223
+## [49,] 0.77065487 -0.87286659 -0.96556558 -0.54002100 0.954649902 0.01305907
+## [50,] 0.66629608 0.66837924 -0.15603922 0.70107397 -0.977456309 -0.08847971
+## [51,] 2.37728808 -1.85860900 0.01919964 0.51512020 0.357717642 -0.64235593
+## [52,] -2.01690588 0.88597692 1.40589056 0.36355751 0.409159104 -0.00877426
+## [53,] -1.64745963 0.14966544 0.77952730 -0.06530727 1.490468145 1.02268452
+## [54,] 1.57330084 -1.41920946 -1.22034461 0.13752479 1.301770669 1.77659969
+## [55,] -1.63919576 0.19232748 0.67971328 0.01087647 0.093043884 -0.64902342
+## [56,] 1.27943671 0.94608728 0.11875027 -0.45465245 1.504947282 0.73853164
+## [57,] 1.47831934 1.67342103 -1.22025128 0.76560124 0.182437348 -0.09862730
+## [58,] 1.40774961 0.26820161 0.56702032 0.61834837 0.021960789 0.87226769
+## [59,] 3.37544500 0.05736965 2.20658092 -2.32014367 -1.579566191 1.17886517
+## [60,] 0.50670602 1.81459371 0.31930463 -0.16754830 0.719571361 1.82120582
+## [61,] -0.07146666 0.08542497 0.73837617 -0.19815815 -0.796497378 0.74258403
+## [62,] -0.37075993 1.44358279 -1.58805468 1.91372273 -0.748812262 -1.50117462
+## [63,] 0.92251915 3.11121902 -1.28419708 0.41490900 0.555195800 -1.18961598
+## [64,] -0.91617728 -1.45941963 -0.40162934 0.55301675 -0.279259516 2.12104160
+## [65,] 0.35689839 0.39591907 -0.53194730 0.65671847 -2.682426794 -0.51463077
+## [66,] -1.18027241 0.51212637 0.97012507 2.14764839 -0.753102847 0.17581751
+## [67,] -1.01391116 0.40498796 1.66071162 1.55338121 -1.125098977 1.66914798
+## [68,] -0.69633365 -1.18594588 -0.94824036 -0.18202413 1.984951925 0.94803496
+## [69,] 0.57450749 -0.74118544 0.77463510 -0.34458732 -1.151040976 -1.63075250
+## PC24 PC25 PC26 PC27 PC28 PC29
+## [1,] 0.250702057 -0.02044048 0.12289450 0.585039986 0.36948393 0.27990927
+## [2,] -0.173438807 0.02937038 -1.60554964 2.160866067 0.70162131 0.52227632
+## [3,] -0.424811297 1.05652296 -0.40764905 -0.041491847 0.15726670 -0.50093062
+## [4,] -0.745549461 1.72313372 -1.50082685 0.691478183 -1.19837988 -0.71620495
+## [5,] -1.796112502 -0.63385675 1.57556526 0.611819418 -0.48947432 0.65772296
+## [6,] -1.456806904 -1.42537015 1.74193861 -1.597182977 -1.73451707 1.07124465
+## [7,] 0.100082418 1.29714341 1.81561117 -1.033442197 0.80674102 0.76636209
+## [8,] -1.135255977 0.55911143 -0.34988880 -0.223091830 -0.14028297 0.98385696
+## [9,] 1.309447196 -1.22833980 -0.76253524 -0.337425257 1.29836546 0.45439382
+## [10,] -0.762356947 0.22389852 1.66422454 -0.223443726 0.22979915 0.92557449
+## [11,] -0.141789634 0.82990576 -0.05919625 -0.198637955 -0.04454477 0.25472335
+## [12,] 2.413586124 1.16264915 -0.41403373 -0.877756770 0.53630125 0.92801523
+## [13,] 0.407061801 0.60014278 -0.19883036 -0.614055432 0.01656993 -0.28569559
+## [14,] -0.027597020 2.59047394 -0.74510924 -0.799081439 0.16945130 -0.02544636
+## [15,] 1.821638233 -1.73998624 -0.01022234 0.503003461 -2.29759970 -0.15185350
+## [16,] 0.297975909 -0.65470557 -0.38402229 -0.925110800 0.43560846 0.11231551
+## [17,] -0.307363276 -1.26158153 -0.23535253 0.504869271 0.72837011 -0.77767346
+## [18,] -0.356405215 0.18016497 1.26652390 0.237140695 0.31228369 0.37403397
+## [19,] -0.740653350 -1.49354800 0.11707937 0.292068452 -1.17792820 -0.60942230
+## [20,] 0.187402071 0.81881088 0.93272195 -0.339012863 -0.02866044 0.56462145
+## [21,] 0.530804117 -1.23692426 -0.01784272 0.542957138 -0.82649107 1.12385476
+## [22,] -0.769949185 2.13932597 -1.00732240 1.587166552 -0.31384743 1.54825965
+## [23,] 0.160516223 0.76949006 1.12183090 0.031648958 1.77160493 -1.91610263
+## [24,] 1.089669588 0.68694645 0.76990726 2.585600824 -0.23214899 -0.24224244
+## [25,] 0.123410498 -0.17752843 0.45084768 -1.440948238 -0.94888223 -2.07184199
+## [26,] -0.052894339 -0.04735629 0.04271934 -1.681642491 0.16189344 -0.57709563
+## [27,] -0.047897523 1.39983689 -1.43108506 -0.404110207 0.31325267 1.16297838
+## [28,] 1.431114810 -0.56505864 0.48822874 -0.109572120 -0.49178700 -0.98943238
+## [29,] -1.741077149 -0.83615632 -0.10585314 -0.050725643 -0.14174765 0.52816681
+## [30,] 1.697058684 0.86003405 -0.25822836 0.126068366 -1.62350834 -0.10551136
+## [31,] -1.118727093 0.87524759 0.82779681 0.154609804 -0.81632391 0.56636246
+## [32,] -1.336400478 -0.35062167 0.07147400 1.283651451 -0.14287903 -1.37339893
+## [33,] 0.636761255 -1.29415222 -2.38566542 -0.447202167 0.36928825 0.39891986
+## [34,] 0.512706560 0.60072861 1.41174920 -0.097537303 0.94794204 0.33246658
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+## [36,] -1.123758242 0.57235269 0.10844788 0.558581101 0.09910663 -0.94782756
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+## [38,] -0.944276360 0.28390454 0.82422510 0.005974372 1.26440759 0.39908094
+## [39,] -0.944918457 0.55318016 -0.03510992 -0.219651881 0.54311375 0.07688609
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+## [41,] 0.262624817 -0.44407225 0.98059360 2.876086728 -0.48001979 0.25900078
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+## [49,] 1.033771945 -0.37919305 -0.81474005 -1.327523661 -1.01189209 1.65944808
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+## [56,] 1.621329461 -1.17062136 -0.12711702 0.962373874 0.65019852 1.21544160
+## [57,] -0.852950117 0.40872918 0.65181167 -0.676081051 0.30912551 0.71189263
+## [58,] -0.423123675 -1.07966642 -1.07944916 -1.471706556 0.20774856 1.65139135
+## [59,] -1.039064421 -0.19580704 -0.91252763 1.313346249 -1.38181556 -1.06724047
+## [60,] 1.933482911 -0.86699861 -0.18461594 1.169093017 0.94454687 -0.16590170
+## [61,] -0.527418990 -2.98876104 -0.06453073 -0.245366995 2.24136768 0.97128011
+## [62,] -2.140907192 -1.53471881 0.09444446 0.412518812 -0.13189379 -1.38264263
+## [63,] 0.228162253 0.11548824 -1.31191406 -0.612583667 0.80812796 -0.65179179
+## [64,] -0.376806670 -0.19826942 -0.53848259 -1.281660080 -0.74386195 -0.42277646
+## [65,] 1.341422600 0.05940123 1.52249668 -1.214128483 -0.22588276 -0.77633155
+## [66,] -1.096180989 -0.65666136 -1.97817263 -1.436022289 0.52997302 -0.40038653
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+## [68,] -0.580045292 0.73300868 0.18575150 -0.023169169 1.12475999 0.57975393
+## [69,] 0.510853968 -0.68112707 0.68074036 0.644612010 0.22274953 -0.34893508
+## PC30 PC31 PC32 PC33 PC34
+## [1,] 0.53335331 -0.03572399 0.61683483 0.062958321 -0.240731576
+## [2,] 0.04651499 -0.89028526 -0.53730113 -0.748723651 -0.258697040
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+## [8,] 1.41765972 -0.09141693 -1.51845778 0.513215182 -0.551559088
+## [9,] 0.42251818 0.09121255 0.36717473 0.324773317 0.402451618
+## [10,] -0.32810145 -0.07336814 0.12054645 -0.759303377 0.639090846
+## [11,] 0.11828337 -0.35971435 0.01404480 2.090372152 -1.090662200
+## [12,] 0.52827086 0.37891006 -0.09359642 0.097566081 0.319328407
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+## [17,] 2.02469598 -0.08629087 1.15231803 0.505176924 0.292685800
+## [18,] 1.27703918 -0.25129178 0.53580948 -1.039520860 -0.673154296
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+## [24,] -0.16218405 0.68568798 -0.83487705 -0.073800298 0.764414454
+## [25,] -0.68084491 -0.92266415 -0.35345280 -0.449910992 0.139726397
+## [26,] 0.03207750 0.21882849 0.16897918 -0.015546127 -0.900134652
+## [27,] 0.55732985 0.34910989 0.28539968 1.643601786 -0.707020897
+## [28,] 0.03569771 0.58264037 -1.80445929 -0.006598476 -0.117300940
+## [29,] -0.18173905 -0.10675782 0.04162312 -0.376781914 1.339918290
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+## [58,] 0.68101475 -1.69990338 -0.44532767 -1.534676980 -0.676381899
+## [59,] 0.08153414 0.29902598 -0.42935572 0.415596220 0.939843098
+## [60,] 1.20365717 -0.06931944 -0.34074315 -0.187296301 -0.748242544
+## [61,] -1.31876369 0.63137139 -1.13222008 -0.933252724 0.449429299
+## [62,] 0.29567103 0.37312289 -0.55295559 -0.875477674 -0.077117347
+## [63,] -0.10245887 0.03971144 0.21082847 -1.036279982 -1.437791744
+## [64,] 0.40024331 -0.68804641 0.80224330 0.612940159 0.963098663
+## [65,] 1.38673543 0.21010351 1.15117386 0.007053725 0.324979441
+## [66,] 0.28748940 1.11853758 1.06350765 0.233170996 1.208086055
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+## [69,] -0.55846491 0.35117812 -1.29644329 0.739201136 0.595885605
+## PC35 PC36 PC37 PC38 PC39
+## [1,] 0.3093618525 0.28516233 -0.31860127 -0.369368598 -0.53052503
+## [2,] -0.5027829897 0.60473398 -0.11171786 -0.383416090 0.08181759
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+## [48,] -0.9562544889 -0.20085841 1.06389614 0.565991077 -0.66404678
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+## [55,] -0.2769100658 0.49637109 0.92890515 1.109530349 0.54519859
+## [56,] 0.5486107154 -0.52882677 -0.48440760 0.471611828 -0.44513739
+## [57,] -1.2555133022 -0.89912278 -0.76842113 1.402747107 1.01431800
+## [58,] -0.0448836679 0.88248988 0.06235791 -0.146792390 0.38377094
+## [59,] 0.6542616700 -0.58760992 0.51318002 0.466223717 0.35763298
+## [60,] -0.1575275198 -0.22336464 0.32016222 0.352951761 0.01133650
+## [61,] 0.2662131267 -1.31380953 0.19721523 0.083330110 -0.64940788
+## [62,] -0.5977856139 0.24923461 1.19391434 -0.462561339 0.25995095
+## [63,] 0.5994768712 -0.38843713 0.53873625 -0.579068200 0.44015145
+## [64,] -0.0169383002 0.47017278 0.44229107 0.213482443 -0.86877152
+## [65,] -0.3141169951 0.22817473 0.22734743 0.946495716 0.28986815
+## [66,] 0.1149534251 -0.27132869 0.43755707 -0.201711639 -0.34847413
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+## [68,] 0.0494493021 -0.03202379 -1.02444814 0.194397874 0.29049254
+## [69,] 0.6871031841 0.19086267 -0.99343530 0.283293954 -0.40939314
+## PC40 PC41 PC42 PC43 PC44 PC45
+## [1,] 0.02098270 0.727728539 -0.26798542 -0.33191651 -0.445635637 0.37899960
+## [2,] -0.21288089 0.324853385 0.15285783 -0.39214890 0.155922396 -0.72596903
+## [3,] -0.15449792 0.196243674 -0.42234589 -0.65248122 0.181718087 0.33190991
+## [4,] 0.32449196 -0.046624189 0.85226071 -0.01152268 -1.013844104 -0.48263755
+## [5,] -0.91866242 0.192434382 -0.01276796 0.05201064 -0.691347185 -0.60174454
+## [6,] 0.78769671 0.170639397 -0.22832171 -0.40261402 0.797887186 -0.01595548
+## [7,] 0.07660215 0.152716832 0.37207898 0.72943831 -0.580695959 0.76671823
+## [8,] -0.61227709 -0.040969204 -0.15067968 -0.07898103 -0.148566245 0.33693380
+## [9,] 1.57642866 -0.006805096 0.53835593 -0.15035166 -0.243951966 -0.44185276
+## [10,] -0.33254863 0.090273930 -0.18915119 0.21864721 -0.180797736 0.38153889
+## [11,] 0.59235853 -0.419891767 -0.12799926 -0.09314444 -0.019443285 0.66589220
+## [12,] -0.05162610 -1.249081410 0.24863171 -0.60369275 0.005854211 -0.35904217
+## [13,] -0.26149753 -0.103213020 -0.54102118 -0.52712163 -0.450383838 1.05924456
+## [14,] 0.50822778 -0.322823911 0.19153617 0.11680104 0.174441101 0.08889930
+## [15,] -0.56146220 0.654372563 0.61849178 -0.01938460 -0.583588623 -0.53007009
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+## [27,] -0.85660898 1.126617620 -0.21512815 0.42615054 -0.086261315 -0.16856145
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+## [60,] -0.21078761 -0.131884933 -0.21673570 0.82500693 0.031277396 0.33474864
+## [61,] -0.28479092 0.258976017 -0.50766631 0.27198134 -0.252427385 0.11901878
+## [62,] 0.23685002 -0.342448621 -0.41684463 0.58454985 0.363027226 -0.29089377
+## [63,] 0.73482145 -0.595350532 0.86231325 -0.25935228 0.600557271 0.27974408
+## [64,] -0.90675339 0.065958092 -0.39992653 0.77085283 0.101058092 0.20668773
+## [65,] -0.33876603 -0.535165476 0.08483142 0.25515512 -0.860098194 0.07063497
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+## [69,] 0.23650305 0.570942514 0.63807484 -0.14063166 -0.217225886 -0.20948303
+## PC46 PC47 PC48 PC49 PC50
+## [1,] 0.260041251 -0.79225331 -0.272822398 -7.042201e-01 0.355168160
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+## [8,] -0.412662218 0.07399471 0.339598991 3.776188e-01 -0.357201104
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+## [16,] 0.334320498 1.12400187 0.020685798 -8.213604e-01 0.367510649
+## [17,] -0.201050475 0.50572112 -0.203505728 8.693436e-01 -0.401898907
+## [18,] -0.223640577 0.04748105 -0.604933746 1.834767e-01 0.300030375
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+## [65,] 0.410936145 -0.23829333 -0.595550759 4.671783e-02 0.208714633
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+## [69,] 0.207741805 0.13828126 0.331034947 1.501386e+00 -0.224251334
+## PC51 PC52 PC53 PC54 PC55
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+## [69,] -0.101273118 -0.521957378 0.106013658 0.269392720 -0.4258702627
+## PC56 PC57 PC58 PC59 PC60
+## [1,] -0.031685170 0.015579843 -0.410415927 0.151884817 0.318705402
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+## [69,] -0.278118413 -0.189025959 0.296852173 -0.208745678 -0.097858717
+## PC61 PC62 PC63 PC64 PC65
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+## [13,] -0.0385310901 0.2126160677 0.011384411 -0.0487470976 3.454502e-02
+## [14,] -0.0129278698 -0.0996872750 0.001423091 0.0150618377 -8.355392e-03
+## [15,] 0.0474592369 -0.0283193244 0.019904892 -0.0549817325 -4.085311e-02
+## [16,] -0.3343045179 0.1783911733 -0.032649192 0.1163959357 2.353529e-02
+## [17,] 0.0496254000 -0.1313931532 0.014162288 0.0329598590 3.681159e-02
+## [18,] 0.3273306003 0.1287245873 -0.124978043 0.0147501335 2.350853e-02
+## [19,] -0.2346708721 -0.1123727980 0.154955152 -0.0627081441 4.643092e-02
+## [20,] 0.0539585447 -0.0798057090 -0.077510940 -0.0304528535 4.500913e-03
+## [21,] 0.0741522072 0.1049547562 0.115589745 -0.1139954440 4.791391e-02
+## [22,] 0.0351867067 0.0202667646 0.068274035 -0.0375411286 2.543642e-03
+## [23,] 0.0237026026 0.0081780877 0.017986465 -0.0972795038 2.002244e-03
+## [24,] -0.0542593430 0.0668441227 -0.078938831 -0.0247608403 6.957754e-02
+## [25,] 0.1482797818 0.0535359123 -0.279935837 -0.0230679696 3.639019e-02
+## [26,] 0.1592231607 -0.0166550105 -0.035428231 -0.0954113735 1.358129e-02
+## [27,] -0.1224293718 -0.0455186921 0.028652291 0.0378816574 -6.070251e-02
+## [28,] -0.1758921158 0.2232500286 -0.045322031 0.0420691532 -1.337625e-02
+## [29,] -0.1139314201 0.1633672965 -0.106246015 0.0236881467 9.118522e-02
+## [30,] -0.0930395574 0.0008564164 -0.096925697 -0.0159620688 -7.933160e-03
+## [31,] 0.0474305770 0.2580975643 0.135908101 0.0040926944 -1.729893e-02
+## [32,] -0.1091999948 -0.0175943644 0.238852582 -0.0440523898 -9.708884e-03
+## [33,] 0.0618403340 0.1252147309 0.022355142 0.0166723599 -2.493240e-02
+## [34,] -0.0910808456 -0.0509128330 -0.016843994 0.1006760789 -3.013360e-02
+## [35,] -0.2645151487 0.0417119135 0.019697583 0.0235617471 -5.737895e-02
+## [36,] 0.0326612217 -0.3635988746 0.014553917 -0.0204054638 -3.161642e-02
+## [37,] 0.1328145746 0.1123259261 -0.001689358 -0.0721594063 4.301359e-02
+## [38,] 0.2257129364 -0.0876524154 -0.053750062 -0.0538054813 -1.546294e-02
+## [39,] 0.2314154714 0.2159359402 0.119773502 -0.0983584004 -1.618117e-04
+## [40,] 0.1081646174 0.0703739996 -0.101902868 0.1050780788 3.490979e-02
+## [41,] 0.0831413512 0.1790447391 -0.050524381 -0.0209734174 -9.865652e-02
+## [42,] 0.1267130632 -0.0239494458 -0.299859782 0.0280137880 5.461650e-02
+## [43,] -0.0452808264 -0.1486988857 0.010823067 -0.0128292985 5.937176e-02
+## [44,] 0.1221918252 0.0832696052 -0.038204135 0.0248081645 2.624673e-02
+## [45,] -0.0471461633 -0.0274563049 -0.040185063 -0.0175955395 4.210141e-03
+## [46,] 0.0242655783 -0.1055494675 0.065946417 -0.1060577784 -7.753937e-02
+## [47,] 0.1169535164 -0.1028701566 -0.105184180 -0.0943796585 9.630448e-03
+## [48,] -0.1080305299 0.0398246407 -0.093258317 -0.0195230628 2.536442e-02
+## [49,] 0.1082355679 0.0685835431 0.111530985 -0.0519355299 -3.065135e-03
+## [50,] -0.1882834237 -0.0556725938 -0.172243290 0.1052690921 -7.751749e-02
+## [51,] -0.0998487386 -0.1240169646 -0.005784948 0.0532358546 -3.510373e-02
+## [52,] -0.1880247365 -0.3622718102 -0.200445780 -0.0562370377 4.061294e-02
+## [53,] -0.0800337626 -0.1952540127 -0.030001212 -0.0342482866 -7.489848e-02
+## [54,] -0.1683343259 0.2372316379 0.012183704 0.0653104118 1.206674e-02
+## [55,] 0.0743404711 0.1998661451 0.171627074 0.0918121815 3.288907e-02
+## [56,] -0.1282102702 0.0072059259 -0.058995453 0.0222626810 5.137080e-06
+## [57,] 0.1560044223 -0.0393827684 0.034507317 -0.0400270402 5.917002e-02
+## [58,] -0.1723212393 -0.0103468511 -0.006424300 -0.0190037532 9.976453e-04
+## [59,] 0.0430922933 -0.0185743460 0.025316739 0.0218330144 -4.092645e-02
+## [60,] 0.1952957400 -0.0962903055 -0.016231834 0.0178012069 2.236962e-02
+## [61,] 0.0353818294 0.1111138012 -0.001691902 0.0870575236 6.365757e-03
+## [62,] 0.1559325334 -0.0211488194 0.081702214 0.0576879490 -1.406533e-02
+## [63,] -0.1125060627 -0.0698061320 0.186139557 -0.0762351923 -4.610154e-03
+## [64,] 0.2621540477 -0.0599424477 0.127080878 0.0477502809 1.252263e-03
+## [65,] 0.0272369436 0.0884313984 0.007570030 -0.0361876987 -2.341190e-02
+## [66,] -0.0367353310 -0.0809012694 -0.001508289 -0.0431872697 2.162508e-02
+## [67,] -0.0627518762 0.0347646653 0.165099324 0.0009983284 5.461254e-02
+## [68,] -0.1621385928 -0.2390569926 0.036939751 -0.0011110200 -1.667296e-02
+## [69,] 0.1336041977 -0.1011961814 0.204087398 0.1694270347 -8.610015e-02
+## PC66 PC67
+## [1,] 5.608571e-02 -0.0099929312
+## [2,] -4.490809e-02 0.0082285124
+## [3,] 3.195547e-02 -0.0059634244
+## [4,] -1.611896e-02 -0.0184207917
+## [5,] -3.342598e-02 0.0072693447
+## [6,] -4.283702e-02 0.0107434107
+## [7,] 6.297181e-04 0.0063698749
+## [8,] 5.992519e-02 -0.0098473546
+## [9,] -3.823763e-02 -0.0112960608
+## [10,] 2.389803e-02 -0.0007205581
+## [11,] -1.426064e-03 0.0135358815
+## [12,] -2.864090e-02 0.0069948722
+## [13,] 3.188969e-02 0.0064779295
+## [14,] -6.825766e-03 -0.0073689355
+## [15,] 6.211324e-02 -0.0099457175
+## [16,] 5.044209e-06 -0.0087010015
+## [17,] -7.802309e-03 -0.0262913527
+## [18,] 5.165387e-02 0.0029886589
+## [19,] -5.427866e-02 0.0015649121
+## [20,] -1.425551e-02 0.0082129634
+## [21,] -3.826781e-02 0.0161850091
+## [22,] -2.301617e-02 0.0171830492
+## [23,] 2.149401e-02 0.0068869514
+## [24,] 9.988394e-03 -0.0170759985
+## [25,] -6.699193e-03 0.0109762417
+## [26,] 3.256479e-02 -0.0076515110
+## [27,] 1.799469e-02 0.0024394891
+## [28,] 6.376501e-02 0.0147310206
+## [29,] -8.077618e-04 0.0127230907
+## [30,] -4.328118e-02 0.0042606505
+## [31,] 1.674668e-02 -0.0240290538
+## [32,] -2.094846e-02 0.0057434286
+## [33,] -1.913785e-02 0.0176149919
+## [34,] 1.520286e-02 0.0019669847
+## [35,] -3.525355e-02 -0.0132939540
+## [36,] -9.838378e-04 -0.0194126370
+## [37,] 2.084156e-02 0.0138432110
+## [38,] 2.154950e-02 0.0013545773
+## [39,] -3.742529e-02 -0.0079109492
+## [40,] 6.798665e-02 -0.0069766296
+## [41,] 3.651821e-03 0.0173294587
+## [42,] -4.749280e-02 -0.0195766328
+## [43,] -1.249361e-02 -0.0093467036
+## [44,] -5.286986e-02 0.0053604379
+## [45,] 3.140721e-02 -0.0103043962
+## [46,] -1.127297e-02 -0.0093634438
+## [47,] -1.392727e-02 -0.0031141325
+## [48,] 1.106371e-02 0.0083683977
+## [49,] -1.161443e-02 -0.0330679181
+## [50,] -4.209258e-02 -0.0117117347
+## [51,] 2.625362e-02 0.0189372142
+## [52,] -5.784205e-03 -0.0001145742
+## [53,] 5.225038e-02 0.0029845026
+## [54,] -8.726913e-03 0.0002987421
+## [55,] -3.655267e-02 -0.0096694403
+## [56,] 8.512357e-02 0.0065714355
+## [57,] -3.548788e-02 0.0012146768
+## [58,] -2.008111e-02 -0.0029390160
+## [59,] -8.601143e-04 0.0014888573
+## [60,] -2.385488e-02 0.0038269044
+## [61,] -4.630924e-02 -0.0149240880
+## [62,] 3.473624e-02 0.0118911296
+## [63,] 1.737590e-02 0.0096004170
+## [64,] -3.433427e-02 0.0391113830
+## [65,] -1.554200e-02 -0.0069909574
+## [66,] 1.086683e-01 -0.0009010950
+## [67,] -4.141341e-02 0.0043369651
+## [68,] 2.595710e-03 0.0085973188
+## [69,] -4.128375e-03 -0.0012899034
+##
+## $importance
+## PC1 PC2 PC3 PC4 PC5 PC6
+## Standard deviation 2.666995 2.333031 2.038243 1.808935 1.714511 1.604117
+## Proportion of Variance 0.106160 0.081240 0.062010 0.048840 0.043870 0.038410
+## Cumulative Proportion 0.106160 0.187400 0.249410 0.298250 0.342120 0.380530
+## PC7 PC8 PC9 PC10 PC11 PC12
+## Standard deviation 1.58799 1.492222 1.464246 1.391389 1.335208 1.325169
+## Proportion of Variance 0.03764 0.033230 0.032000 0.028890 0.026610 0.026210
+## Cumulative Proportion 0.41816 0.451400 0.483400 0.512290 0.538900 0.565110
+## PC13 PC14 PC15 PC16 PC17 PC18
+## Standard deviation 1.312129 1.263123 1.253663 1.223387 1.21896 1.186494
+## Proportion of Variance 0.025700 0.023810 0.023460 0.022340 0.02218 0.021010
+## Cumulative Proportion 0.590810 0.614620 0.638080 0.660420 0.68260 0.703610
+## PC19 PC20 PC21 PC22 PC23 PC24
+## Standard deviation 1.131275 1.12814 1.104329 1.063191 1.011684 0.9966581
+## Proportion of Variance 0.019100 0.01900 0.018200 0.016870 0.015280 0.0148300
+## Cumulative Proportion 0.722710 0.74170 0.759910 0.776780 0.792050 0.8068800
+## PC25 PC26 PC27 PC28 PC29
+## Standard deviation 0.9652838 0.9504884 0.932569 0.9050752 0.8516082
+## Proportion of Variance 0.0139100 0.0134800 0.012980 0.0122300 0.0108200
+## Cumulative Proportion 0.8207900 0.8342700 0.847250 0.8594800 0.8703000
+## PC30 PC31 PC32 PC33 PC34
+## Standard deviation 0.8347907 0.8187954 0.7853896 0.7607936 0.7335091
+## Proportion of Variance 0.0104000 0.0100100 0.0092100 0.0086400 0.0080300
+## Cumulative Proportion 0.8807000 0.8907100 0.8999200 0.9085600 0.9165900
+## PC35 PC36 PC37 PC38 PC39
+## Standard deviation 0.7227812 0.6731917 0.6634331 0.6483907 0.6244897
+## Proportion of Variance 0.0078000 0.0067600 0.0065700 0.0062700 0.0058200
+## Cumulative Proportion 0.9243800 0.9311500 0.9377200 0.9439900 0.9498100
+## PC40 PC41 PC42 PC43 PC44
+## Standard deviation 0.6033124 0.5684699 0.5576907 0.5103163 0.4944263
+## Proportion of Variance 0.0054300 0.0048200 0.0046400 0.0038900 0.0036500
+## Cumulative Proportion 0.9552400 0.9600700 0.9647100 0.9686000 0.9722400
+## PC45 PC46 PC47 PC48 PC49
+## Standard deviation 0.4712829 0.445513 0.4328883 0.4134448 0.3725996
+## Proportion of Variance 0.0033200 0.002960 0.0028000 0.0025500 0.0020700
+## Cumulative Proportion 0.9755600 0.978520 0.9813200 0.9838700 0.9859400
+## PC50 PC51 PC52 PC53 PC54
+## Standard deviation 0.3665372 0.3501553 0.3327838 0.3279977 0.3041441
+## Proportion of Variance 0.0020100 0.0018300 0.0016500 0.0016100 0.0013800
+## Cumulative Proportion 0.9879500 0.9897800 0.9914300 0.9930400 0.9944200
+## PC55 PC56 PC57 PC58 PC59
+## Standard deviation 0.2804041 0.2706683 0.2372987 0.2115601 0.1761691
+## Proportion of Variance 0.0011700 0.0010900 0.0008400 0.0006700 0.0004600
+## Cumulative Proportion 0.9955900 0.9966800 0.9975200 0.9981900 0.9986600
+## PC60 PC61 PC62 PC63 PC64
+## Standard deviation 0.1654151 0.1477829 0.1420491 0.1109261 0.0705462
+## Proportion of Variance 0.0004100 0.0003300 0.0003000 0.0001800 0.0000700
+## Cumulative Proportion 0.9990600 0.9993900 0.9996900 0.9998700 0.9999500
+## PC65 PC66 PC67
+## Standard deviation 0.04430024 0.03588606 0.01241193
+## Proportion of Variance 0.00003000 0.00002000 0.00000000
+## Cumulative Proportion 0.99998000 1.00000000 1.00000000
+var_coord_func <- function(loadings, sdev){
+ loadings*sdev
+}
+
+# Compute Coordinates
+loadings <- pca_tc$rotation
+sdev <- pca_tc$sdev
+var.coord <- t(apply(loadings, 1, var_coord_func, sdev))
+head(var.coord)
+## PC1 PC2 PC3 PC4 PC5
+## Adult.Education 0.52071695 -0.18937953 0.05744280 -0.02189085 2.963387e-01
+## Anthropology 0.11099619 0.15751158 -0.02751364 -0.33742135 -5.365968e-02
+## Social.Studies 0.31477673 -0.02249242 -0.11882448 -0.11295257 -2.528320e-01
+## Physiology -0.28996120 0.57003442 -0.06089313 0.15438812 -1.133255e-01
+## Behavior.Analysis 0.19646182 0.49610052 0.13067753 0.11435826 -8.801523e-06
+## Linguistics 0.08401344 -0.13211642 0.22168107 -0.62928086 -3.283578e-02
+## PC6 PC7 PC8 PC9 PC10
+## Adult.Education -0.16469275 0.26830988 -0.1142103 0.01967327 -0.11130899
+## Anthropology 0.31509126 0.15606163 0.1424525 0.24567833 0.07005997
+## Social.Studies 0.12320242 -0.47640781 -0.4388021 0.22536429 -0.09801158
+## Physiology -0.04051855 0.11603100 0.1252747 -0.18654056 -0.00947471
+## Behavior.Analysis -0.13195633 0.08728625 -0.1659002 0.20668085 0.06081582
+## Linguistics 0.06352821 0.22889797 -0.1679552 -0.12768721 -0.27887244
+## PC11 PC12 PC13 PC14 PC15
+## Adult.Education 0.04290056 -0.03993256 0.01614784 -0.235985919 0.05050434
+## Anthropology -0.02757456 0.11060628 -0.18387665 0.147642679 -0.27975364
+## Social.Studies -0.14653207 0.05357059 -0.02035945 0.246303685 -0.03944396
+## Physiology -0.25948578 0.14997545 0.14735078 0.009746051 -0.08167789
+## Behavior.Analysis 0.12000604 -0.04227690 0.15665763 -0.321167762 -0.13790023
+## Linguistics -0.09018561 -0.03323831 0.19810958 0.009058598 -0.12770159
+## PC16 PC17 PC18 PC19 PC20
+## Adult.Education 0.13250794 -0.129591074 -0.005429464 0.14922717 0.14283293
+## Anthropology 0.37797234 -0.006148823 0.153995964 -0.01751105 -0.05832991
+## Social.Studies -0.04164790 -0.167889923 0.017195563 0.13363905 -0.03263456
+## Physiology 0.11327537 -0.105043037 0.113381881 -0.08666043 -0.16811850
+## Behavior.Analysis -0.02852866 0.245913905 -0.061734406 -0.35787406 -0.10987795
+## Linguistics -0.13312400 0.035290899 -0.019448252 0.14829904 -0.10647515
+## PC21 PC22 PC23 PC24 PC25
+## Adult.Education -0.14340663 0.17442966 -0.17106732 -0.02681646 -0.16555478
+## Anthropology -0.23535744 0.09209422 0.17755995 -0.07971969 -0.02396546
+## Social.Studies 0.04121969 0.11141397 -0.08300749 0.11079182 0.05068433
+## Physiology 0.01276451 0.05466760 -0.05227350 0.05686267 0.10585288
+## Behavior.Analysis -0.11794878 -0.05138015 -0.02360659 0.07305128 0.06367575
+## Linguistics 0.03691204 0.03707215 0.01904114 0.30131903 0.00889638
+## PC26 PC27 PC28 PC29 PC30
+## Adult.Education 0.01986710 0.06816129 -0.217752609 -0.05396932 0.210889332
+## Anthropology 0.17667515 -0.20528240 -0.119598012 -0.12430624 0.017898149
+## Social.Studies -0.05424109 0.01514533 -0.020956015 -0.05219527 0.002677895
+## Physiology 0.14339809 -0.19392571 -0.105571666 0.19033399 -0.048134229
+## Behavior.Analysis -0.15570609 -0.06825052 0.006084023 -0.05750087 0.041102443
+## Linguistics -0.17443015 0.15003365 0.010401076 0.04407396 -0.039013458
+## PC31 PC32 PC33 PC34 PC35
+## Adult.Education 0.03593127 0.04191155 -0.01832337 -0.060263666 -0.18236542
+## Anthropology 0.20082126 0.10421933 -0.10982474 0.057468287 -0.07725092
+## Social.Studies -0.07580613 0.01010513 -0.03242457 -0.123472656 -0.02959924
+## Physiology -0.20785933 0.11729468 0.07242799 -0.112411030 -0.08242438
+## Behavior.Analysis -0.04042551 0.09124190 -0.08741143 -0.002074211 0.06348511
+## Linguistics -0.08545015 -0.11654217 -0.08498737 0.036549083 -0.06942833
+## PC36 PC37 PC38 PC39 PC40
+## Adult.Education 0.11014936 0.19471288 -0.07252711 -0.05498918 -0.05482745
+## Anthropology -0.10654075 0.02041164 -0.04020615 0.03758559 0.05483978
+## Social.Studies -0.02675194 0.14333549 0.08573502 -0.05356770 0.02823042
+## Physiology 0.11791175 0.13283317 -0.01835470 0.09491081 -0.06513457
+## Behavior.Analysis -0.11498965 0.11809106 0.16105102 0.11459624 -0.01472336
+## Linguistics 0.03300625 -0.01679045 -0.04342086 0.09874349 -0.10141801
+## PC41 PC42 PC43 PC44
+## Adult.Education 0.022228119 0.041396814 0.09538219 -0.003043739
+## Anthropology -0.057138590 -0.011465197 -0.01667752 0.020145182
+## Social.Studies -0.199132700 0.047970077 0.03530256 0.109421428
+## Physiology 0.066505878 -0.110704859 -0.01302784 -0.040239578
+## Behavior.Analysis 0.063538193 0.121134877 0.00213908 -0.123174943
+## Linguistics 0.003373054 0.003419461 0.04746475 -0.081671996
+## PC45 PC46 PC47 PC48
+## Adult.Education -0.064812392 0.0029623891 0.035330598 0.006189156
+## Anthropology 0.008448591 0.0624726758 -0.018559711 0.043891524
+## Social.Studies 0.018008955 -0.0091642991 -0.077349003 -0.013724935
+## Physiology -0.025063506 0.0009149495 -0.001303424 -0.044058554
+## Behavior.Analysis 0.145083793 0.0314525384 -0.050213302 0.063448563
+## Linguistics 0.019758585 0.0167065497 0.045377577 0.017788438
+## PC49 PC50 PC51 PC52
+## Adult.Education 0.0373537929 0.007547271 -0.0590612994 -0.017378692
+## Anthropology 0.0000849896 0.034419524 0.0223133383 -0.013693952
+## Social.Studies -0.0811868753 -0.055237417 -0.0188774642 -0.014465511
+## Physiology -0.0399839142 -0.021140879 0.0871997533 0.020920853
+## Behavior.Analysis -0.0445039068 -0.018647806 -0.0068338900 -0.009378866
+## Linguistics -0.0145007772 0.016786486 0.0003040218 -0.007340708
+## PC53 PC54 PC55 PC56
+## Adult.Education -0.004578329 -0.0317634855 0.022785746 0.014560354
+## Anthropology 0.059391988 -0.0297103788 0.057960549 -0.030045422
+## Social.Studies 0.044969980 -0.0002395385 0.012254418 0.031602072
+## Physiology 0.007578351 -0.0357187616 0.009428721 0.064424068
+## Behavior.Analysis 0.047628883 0.0287641666 0.005070507 -0.008824515
+## Linguistics -0.012306904 -0.0329499971 0.068268520 0.026808743
+## PC57 PC58 PC59 PC60
+## Adult.Education 0.052080839 -0.012783667 -0.016439138 -0.005975496
+## Anthropology -0.025045510 -0.019780655 0.003284085 0.006220605
+## Social.Studies -0.027145667 0.055256414 0.037730582 -0.014000624
+## Physiology 0.004535171 0.040892583 -0.023408518 -0.006785849
+## Behavior.Analysis 0.028471270 0.010581928 -0.001457118 0.015846832
+## Linguistics -0.038564608 -0.007100682 -0.035852644 0.002080178
+## PC61 PC62 PC63 PC64
+## Adult.Education 0.004204770 0.019305250 0.0007888655 0.014792643
+## Anthropology -0.014853187 -0.022102604 0.0130965624 -0.003838977
+## Social.Studies 0.007375401 0.008447002 0.0141077361 0.006293131
+## Physiology 0.002912832 0.003835022 -0.0009096808 -0.002670571
+## Behavior.Analysis 0.005330300 -0.002770623 -0.0075497159 0.008024648
+## Linguistics 0.010271479 -0.047534076 0.0218159917 -0.007497687
+## PC65 PC66 PC67
+## Adult.Education -4.554498e-03 -0.0008648171 -0.0030465927
+## Anthropology 5.705083e-04 0.0084864582 -0.0009516633
+## Social.Studies -8.665109e-05 -0.0028777347 -0.0003740964
+## Physiology -9.974082e-03 0.0062079265 0.0009543063
+## Behavior.Analysis -2.925179e-03 -0.0041028392 -0.0015674336
+## Linguistics 9.012219e-03 -0.0035929564 0.0001079395
+fviz_pca_var(pca_tc,
+ col.var = "contrib", # Color by contributions to the PC
+ gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
+ repel = TRUE # Avoid text overlapping
+ )
+
+##Answer: According to the information of principal component loading, Adult Education, Teaching English, Bilingual&Bicultural Education, Clinical Psychology, Cognitive Science, College Advising, and Communication Science and Disorders are the three programs that have highest positive contribution to PC5, which means there are some significant intersections among the three programs. This may be because all these programs are related to both language skills and lifecareer development.
+