fix: accurate Student t-distribution table (#90)

Signed-off-by: Jérôme Benoit <[email protected]>
tinylibs · Oct 13, 2024 · 1e74996 · 1e74996
1 parent 6ae694f
commit 1e74996
Showing 1 changed file with 123 additions and 120 deletions.
diff --git a/src/constants.ts b/src/constants.ts
@@ -1,124 +1,127 @@
+/**
+ * Student t-distribution two-tailed critical values for 95% confidence level.
+ */
 const tTable: Record<string, number> = {
-  1: 12.71,
-  2: 4.303,
-  3: 3.182,
-  4: 2.776,
-  5: 2.571,
-  6: 2.447,
-  7: 2.365,
-  8: 2.306,
-  9: 2.262,
-  10: 2.228,
-  11: 2.201,
-  12: 2.179,
-  13: 2.16,
-  14: 2.145,
-  15: 2.131,
-  16: 2.12,
-  17: 2.11,
-  18: 2.101,
-  19: 2.093,
-  20: 2.086,
-  21: 2.08,
-  22: 2.074,
-  23: 2.069,
-  24: 2.064,
-  25: 2.06,
-  26: 2.056,
-  27: 2.052,
-  28: 2.048,
-  29: 2.045,
-  30: 2.042,
-  31: 2.0399,
-  32: 2.0378,
-  33: 2.0357,
-  34: 2.0336,
-  35: 2.0315,
-  36: 2.0294,
-  37: 2.0273,
-  38: 2.0252,
-  39: 2.0231,
-  40: 2.021,
-  41: 2.0198,
-  42: 2.0186,
-  43: 2.0174,
-  44: 2.0162,
-  45: 2.015,
-  46: 2.0138,
-  47: 2.0126,
-  48: 2.0114,
-  49: 2.0102,
-  50: 2.009,
-  51: 2.0081,
-  52: 2.0072,
-  53: 2.0063,
-  54: 2.0054,
-  55: 2.0045,
-  56: 2.0036,
-  57: 2.0027,
-  58: 2.0018,
-  59: 2.0009,
-  60: 2,
-  61: 1.9995,
-  62: 1.999,
-  63: 1.9985,
-  64: 1.998,
-  65: 1.9975,
-  66: 1.997,
-  67: 1.9965,
-  68: 1.996,
-  69: 1.9955,
-  70: 1.995,
-  71: 1.9945,
-  72: 1.994,
-  73: 1.9935,
-  74: 1.993,
-  75: 1.9925,
-  76: 1.992,
-  77: 1.9915,
-  78: 1.991,
-  79: 1.9905,
-  80: 1.99,
-  81: 1.9897,
-  82: 1.9894,
-  83: 1.9891,
-  84: 1.9888,
-  85: 1.9885,
-  86: 1.9882,
-  87: 1.9879,
-  88: 1.9876,
-  89: 1.9873,
-  90: 1.987,
-  91: 1.9867,
-  92: 1.9864,
-  93: 1.9861,
-  94: 1.9858,
-  95: 1.9855,
-  96: 1.9852,
-  97: 1.9849,
-  98: 1.9846,
-  99: 1.9843,
-  100: 1.984,
-  101: 1.9838,
-  102: 1.9836,
-  103: 1.9834,
-  104: 1.9832,
-  105: 1.983,
-  106: 1.9828,
-  107: 1.9826,
-  108: 1.9824,
-  109: 1.9822,
-  110: 1.982,
-  111: 1.9818,
-  112: 1.9816,
-  113: 1.9814,
-  114: 1.9812,
-  115: 1.9819,
-  116: 1.9808,
-  117: 1.9806,
-  118: 1.9804,
-  119: 1.9802,
-  120: 1.98,
+  1: 12.706204736432102,
+  2: 4.3026527299112765,
+  3: 3.182446305284264,
+  4: 2.7764451051977996,
+  5: 2.57058183661474,
+  6: 2.446911848791681,
+  7: 2.3646242510102997,
+  8: 2.306004135033371,
+  9: 2.262157162740992,
+  10: 2.2281388519649385,
+  11: 2.200985160082949,
+  12: 2.178812829663418,
+  13: 2.160368656461013,
+  14: 2.1447866879169277,
+  15: 2.131449545559323,
+  16: 2.1199052992210112,
+  17: 2.109815577833181,
+  18: 2.10092204024096,
+  19: 2.0930240544082634,
+  20: 2.085963447265837,
+  21: 2.0796138447276626,
+  22: 2.073873067904015,
+  23: 2.068657610419041,
+  24: 2.063898561628021,
+  25: 2.0595385527532946,
+  26: 2.0555294386428713,
+  27: 2.0518305164802837,
+  28: 2.048407141795244,
+  29: 2.0452296421327034,
+  30: 2.042272456301238,
+  31: 2.0395134463964077,
+  32: 2.0369333434601016,
+  33: 2.0345152974493383,
+  34: 2.0322445093177186,
+  35: 2.030107928250343,
+  36: 2.0280940009804507,
+  37: 2.0261924630291097,
+  38: 2.0243941645751367,
+  39: 2.0226909117347285,
+  40: 2.021075382995338,
+  41: 2.019540963982894,
+  42: 2.0180816970958815,
+  43: 2.0166921941428138,
+  44: 2.0153675699129416,
+  45: 2.0141033848332928,
+  46: 2.012895595294589,
+  47: 2.011740510475755,
+  48: 2.010634754696446,
+  49: 2.0095752344892093,
+  50: 2.0085591097152062,
+  51: 2.0075837681558824,
+  52: 2.0066468031022118,
+  53: 2.00574599353695,
+  54: 2.0048792865665233,
+  55: 2.0040447818101814,
+  56: 2.003240717496698,
+  57: 2.002465458054599,
+  58: 2.0017174830120927,
+  59: 2.0009953770482105,
+  60: 2.000297821058262,
+  61: 1.9996235841149783,
+  62: 1.9989715162223116,
+  63: 1.998340541772196,
+  64: 1.9977296536259739,
+  65: 1.9971379077520126,
+  66: 1.9965644183594748,
+  67: 1.996008353475506,
+  68: 1.9954689309194023,
+  69: 1.994945414632814,
+  70: 1.9944371113297732,
+  71: 1.9939433674345044,
+  72: 1.9934635662785831,
+  73: 1.9929971255321668,
+  74: 1.9925434948468204,
+  75: 1.9921021536898658,
+  76: 1.9916726093523491,
+  77: 1.9912543951146042,
+  78: 1.9908470685550523,
+  79: 1.9904502099893606,
+  80: 1.9900634210283845,
+  81: 1.9896863232444832,
+  82: 1.989318556936819,
+  83: 1.9889597799871794,
+  84: 1.9886096667986737,
+  85: 1.988267907310378,
+  86: 1.9879342060816723,
+  87: 1.9876082814405773,
+  88: 1.987289864690939,
+  89: 1.9869786993737681,
+  90: 1.9866745405784685,
+  91: 1.9863771543000652,
+  92: 1.9860863168388938,
+  93: 1.985801814239503,
+  94: 1.9855234417658303,
+  95: 1.9852510034099267,
+  96: 1.9849843114317696,
+  97: 1.9847231859278835,
+  98: 1.9844674544266925,
+  99: 1.9842169515086832,
+  100: 1.983971518449634,
+  101: 1.9837310028852815,
+  102: 1.9834952584959407,
+  103: 1.9832641447097104,
+  104: 1.9830375264229902,
+  105: 1.9828152737371547,
+  106: 1.9825972617102912,
+  107: 1.9823833701230178,
+  108: 1.9821734832574516,
+  109: 1.9819674896884745,
+  110: 1.9817652820865104,
+  111: 1.981566757031071,
+  112: 1.9813718148344008,
+  113: 1.9811803593745805,
+  114: 1.9809922979375068,
+  115: 1.9808075410672004,
+  116: 1.980626002423938,
+  117: 1.9804475986497296,
+  118: 1.9802722492407063,
+  119: 1.9800998764260065,
+  120: 1.979930405052777,
   infinity: 1.96,
 };