-
Notifications
You must be signed in to change notification settings - Fork 0
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Use critical values helpers with t-value
- Loading branch information
Showing
2 changed files
with
226 additions
and
37 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -1,40 +1,229 @@ | ||
// Retrieve t-value, using t-distribution, two-tailed, with 95% significance | ||
// level. | ||
export const getStudentTValue = function (degreesOfFreedom) { | ||
if (degreesOfFreedom >= T_VALUES.length) { | ||
return MIN_T_VALUE | ||
} | ||
/* eslint-disable max-lines */ | ||
import { getCriticalValue, getCriticalValuesMap } from './map.js' | ||
|
||
return T_VALUES[degreesOfFreedom - 1] | ||
// Retrieve t-value, using t-distribution, two-tailed | ||
export const getStudentTValue = function (degreesOfFreedom) { | ||
const singleSignificanteRate = (1 + SIGNIFICANCE_RATE) / 2 | ||
return getCriticalValue( | ||
STUDENT_T_MAP, | ||
degreesOfFreedom, | ||
singleSignificanteRate, | ||
) | ||
} | ||
|
||
const MIN_T_VALUE = 1.96 | ||
const SIGNIFICANCE_RATE = 0.95 | ||
|
||
// We hardcode first t-values because computing them is quite complex. | ||
// Beyond a specific size, they converge to `MIN_T_VALUE` with a very minor | ||
// difference. | ||
/* eslint-disable no-magic-numbers */ | ||
const T_VALUES = [ | ||
12.7065, 4.3026, 3.1824, 2.7764, 2.5706, 2.4469, 2.3646, 2.306, 2.2621, | ||
2.2282, 2.201, 2.1788, 2.1604, 2.1448, 2.1314, 2.1199, 2.1098, 2.1009, 2.093, | ||
2.086, 2.0796, 2.0739, 2.0686, 2.0639, 2.0596, 2.0555, 2.0518, 2.0484, 2.0452, | ||
2.0423, 2.0395, 2.0369, 2.0345, 2.0322, 2.0301, 2.0281, 2.0262, 2.0244, | ||
2.0227, 2.0211, 2.0196, 2.0181, 2.0167, 2.0154, 2.0141, 2.0129, 2.0117, | ||
2.0106, 2.0096, 2.0086, 2.0076, 2.0066, 2.0057, 2.0049, 2.0041, 2.0032, | ||
2.0025, 2.0017, 2.001, 2.0003, 1.9996, 1.999, 1.9983, 1.9977, 1.9971, 1.9966, | ||
1.996, 1.9955, 1.995, 1.9944, 1.9939, 1.9935, 1.993, 1.9925, 1.9921, 1.9917, | ||
1.9913, 1.9909, 1.9904, 1.9901, 1.9897, 1.9893, 1.9889, 1.9886, 1.9883, | ||
1.9879, 1.9876, 1.9873, 1.987, 1.9867, 1.9864, 1.9861, 1.9858, 1.9855, 1.9852, | ||
1.985, 1.9847, 1.9845, 1.9842, 1.984, 1.9837, 1.9835, 1.9833, 1.983, 1.9828, | ||
1.9826, 1.9824, 1.9822, 1.982, 1.9818, 1.9816, 1.9814, 1.9812, 1.981, 1.9808, | ||
1.9806, 1.9805, 1.9803, 1.9801, 1.9799, 1.9798, 1.9796, 1.9794, 1.9793, | ||
1.9791, 1.979, 1.9788, 1.9787, 1.9785, 1.9784, 1.9782, 1.9781, 1.9779, 1.9778, | ||
1.9777, 1.9776, 1.9774, 1.9773, 1.9772, 1.9771, 1.9769, 1.9768, 1.9767, | ||
1.9766, 1.9765, 1.9764, 1.9762, 1.9761, 1.976, 1.9759, 1.9758, 1.9757, 1.9756, | ||
1.9755, 1.9754, 1.9753, 1.9752, 1.9751, 1.975, 1.9749, 1.9748, 1.9747, 1.9746, | ||
1.9745, 1.9744, 1.9744, 1.9743, 1.9742, 1.9741, 1.974, 1.9739, 1.9739, 1.9738, | ||
1.9737, 1.9736, 1.9735, 1.9735, 1.9734, 1.9733, 1.9732, 1.9731, 1.9731, 1.973, | ||
1.9729, 1.9729, 1.9728, 1.9727, 1.9727, 1.9726, 1.9725, 1.9725, 1.9724, | ||
1.9723, 1.9723, 1.9722, 1.9721, 1.9721, 1.972, 1.972, 1.9719, | ||
const STUDENT_T_RAW = [ | ||
{ | ||
significanceRate: 0.975, | ||
getMaxValue() { | ||
return MAX_T_VALUE | ||
}, | ||
criticalValues: { | ||
1: 12.7065, | ||
2: 4.3026, | ||
3: 3.1824, | ||
4: 2.7764, | ||
5: 2.5706, | ||
6: 2.4469, | ||
7: 2.3646, | ||
8: 2.306, | ||
9: 2.2621, | ||
10: 2.2282, | ||
11: 2.201, | ||
12: 2.1788, | ||
13: 2.1604, | ||
14: 2.1448, | ||
15: 2.1314, | ||
16: 2.1199, | ||
17: 2.1098, | ||
18: 2.1009, | ||
19: 2.093, | ||
20: 2.086, | ||
21: 2.0796, | ||
22: 2.0739, | ||
23: 2.0686, | ||
24: 2.0639, | ||
25: 2.0596, | ||
26: 2.0555, | ||
27: 2.0518, | ||
28: 2.0484, | ||
29: 2.0452, | ||
30: 2.0423, | ||
31: 2.0395, | ||
32: 2.0369, | ||
33: 2.0345, | ||
34: 2.0322, | ||
35: 2.0301, | ||
36: 2.0281, | ||
37: 2.0262, | ||
38: 2.0244, | ||
39: 2.0227, | ||
40: 2.0211, | ||
41: 2.0196, | ||
42: 2.0181, | ||
43: 2.0167, | ||
44: 2.0154, | ||
45: 2.0141, | ||
46: 2.0129, | ||
47: 2.0117, | ||
48: 2.0106, | ||
49: 2.0096, | ||
50: 2.0086, | ||
51: 2.0076, | ||
52: 2.0066, | ||
53: 2.0057, | ||
54: 2.0049, | ||
55: 2.0041, | ||
56: 2.0032, | ||
57: 2.0025, | ||
58: 2.0017, | ||
59: 2.001, | ||
60: 2.0003, | ||
61: 1.9996, | ||
62: 1.999, | ||
63: 1.9983, | ||
64: 1.9977, | ||
65: 1.9971, | ||
66: 1.9966, | ||
67: 1.996, | ||
68: 1.9955, | ||
69: 1.995, | ||
70: 1.9944, | ||
71: 1.9939, | ||
72: 1.9935, | ||
73: 1.993, | ||
74: 1.9925, | ||
75: 1.9921, | ||
76: 1.9917, | ||
77: 1.9913, | ||
78: 1.9909, | ||
79: 1.9904, | ||
80: 1.9901, | ||
81: 1.9897, | ||
82: 1.9893, | ||
83: 1.9889, | ||
84: 1.9886, | ||
85: 1.9883, | ||
86: 1.9879, | ||
87: 1.9876, | ||
88: 1.9873, | ||
89: 1.987, | ||
90: 1.9867, | ||
91: 1.9864, | ||
92: 1.9861, | ||
93: 1.9858, | ||
94: 1.9855, | ||
95: 1.9852, | ||
96: 1.985, | ||
97: 1.9847, | ||
98: 1.9845, | ||
99: 1.9842, | ||
100: 1.984, | ||
101: 1.9837, | ||
102: 1.9835, | ||
103: 1.9833, | ||
104: 1.983, | ||
105: 1.9828, | ||
106: 1.9826, | ||
107: 1.9824, | ||
108: 1.9822, | ||
109: 1.982, | ||
110: 1.9818, | ||
111: 1.9816, | ||
112: 1.9814, | ||
113: 1.9812, | ||
114: 1.981, | ||
115: 1.9808, | ||
116: 1.9806, | ||
117: 1.9805, | ||
118: 1.9803, | ||
119: 1.9801, | ||
120: 1.9799, | ||
121: 1.9798, | ||
122: 1.9796, | ||
123: 1.9794, | ||
124: 1.9793, | ||
125: 1.9791, | ||
126: 1.979, | ||
127: 1.9788, | ||
128: 1.9787, | ||
129: 1.9785, | ||
130: 1.9784, | ||
131: 1.9782, | ||
132: 1.9781, | ||
133: 1.9779, | ||
134: 1.9778, | ||
135: 1.9777, | ||
136: 1.9776, | ||
137: 1.9774, | ||
138: 1.9773, | ||
139: 1.9772, | ||
140: 1.9771, | ||
141: 1.9769, | ||
142: 1.9768, | ||
143: 1.9767, | ||
144: 1.9766, | ||
145: 1.9765, | ||
146: 1.9764, | ||
147: 1.9762, | ||
148: 1.9761, | ||
149: 1.976, | ||
150: 1.9759, | ||
151: 1.9758, | ||
152: 1.9757, | ||
153: 1.9756, | ||
154: 1.9755, | ||
155: 1.9754, | ||
156: 1.9753, | ||
157: 1.9752, | ||
158: 1.9751, | ||
159: 1.975, | ||
160: 1.9749, | ||
161: 1.9748, | ||
162: 1.9747, | ||
163: 1.9746, | ||
164: 1.9745, | ||
165: 1.9744, | ||
166: 1.9744, | ||
167: 1.9743, | ||
168: 1.9742, | ||
169: 1.9741, | ||
170: 1.974, | ||
171: 1.9739, | ||
172: 1.9739, | ||
173: 1.9738, | ||
174: 1.9737, | ||
175: 1.9736, | ||
176: 1.9735, | ||
177: 1.9735, | ||
178: 1.9734, | ||
179: 1.9733, | ||
180: 1.9732, | ||
181: 1.9731, | ||
182: 1.9731, | ||
183: 1.973, | ||
184: 1.9729, | ||
185: 1.9729, | ||
186: 1.9728, | ||
187: 1.9727, | ||
188: 1.9727, | ||
189: 1.9726, | ||
190: 1.9725, | ||
191: 1.9725, | ||
192: 1.9724, | ||
193: 1.9723, | ||
194: 1.9723, | ||
195: 1.9722, | ||
196: 1.9721, | ||
197: 1.9721, | ||
198: 1.972, | ||
199: 1.972, | ||
200: 1.9719, | ||
}, | ||
}, | ||
] | ||
/* eslint-enable no-magic-numbers */ | ||
|
||
const MAX_T_VALUE = 1.96 | ||
const STUDENT_T_MAP = getCriticalValuesMap(STUDENT_T_RAW) | ||
/* eslint-enable max-lines */ |