﻿ Feb 5, 2017 - Chi Square, Fisher F, and Student T Tables
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 Feb 5, 2017 - Chi Square, Fisher F, and Student T Tables

Greetings from PLANETQUANTUM.COM . We've uploaded Statistics Tables containing critical values of the Chi Square Distribution, Fisher F Distribution, and Student's t Distribution . For a little taste, see below. To see the complete tables, click Statistics Tables.

Lower Tail Critical Values of Chi Square Distribution
One sided test Prob(χ2≤c) = p
Reference: NIST/SEMATECH e-Handbook of Statistical Methods

ν\p .1 .05 .025 .01 .005 .0025 .001 .0005 .00025 .0001
1.01579077.00393214.00098207.000157093.9270e-59.8175e-61.5708e-63.9270e-79.8175e-81.5708e-8
2.21072103.10258659.05063562.02010067.01002508.00500626.00200100.00100025.00050006.00020001
3.58437437.35184632.21579528.11483180.07172177.04494134.02429759.01527897.00961426.00521483

Critical Values of Fisher F Distribution (1≤ν1≤10)
One sided test Prob(F≥c) = .1 = 10% significance level
Reference: NIST/SEMATECH e-Handbook of Statistical Methods

ν21 1 2 3 4 5 6 7 8 9 10
139.86345849.50000053.59324555.83296157.24007758.20441658.90595359.43898159.85758560.194980
28.52631589.00000009.16179029.24341659.29262639.32553059.34908129.36677039.38054409.3915728
35.53831955.46238335.39077335.34264455.30915705.28473165.26619465.25167115.23999595.2304113

Critical Values of Student's t Distribution
One sided test Prob(t≤c) = p
Reference: NIST/SEMATECH e-Handbook of Statistical Methods

ν\p .9 .95 .975 .99 .995 .9975 .999 .9995 .99975 .9999
13.07768356.313751512.70620531.82051663.656741127.32134318.30884636.619251273.23933183.0988
21.88561812.91998564.30265276.96455679.924843214.08904722.32712531.59905544.70458770.700071
31.63774442.35336343.18244634.54070295.84090937.453318510.21453212.92397916.32633522.203742

Readers might like to know how we created these tables. From our perspective, cumulative functions ChiSquareCum, FisherFCum, and StudentTCum are disguised incomplete Gamma and incomplete Beta functions and we know how to compute these functions. We apply Brent's method to the cumulative functions to get quantile functions ChiSquareQuant, FisherFQuant, and StudentTQuant which we use to generate the critical values appearing in our Statistics Tables.

Source Code: ChiSquareTable.q.txt , FisherFTable.q.txt , and StudentTTable.q.txt .