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

Futuristic Planet Quantum Image Greetings from PLANETQUANTUM.COM . We've uploaded 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 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	.00015709	3.9270e-5	9.8175e-6	1.5708e-6	3.9270e-7	9.8175e-8	1.5708e-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

ν₂\ν₁	1	2	3	4	5	6	7	8	9	10
1	39.863458	49.500000	53.593245	55.832961	57.240077	58.204416	58.905953	59.438981	59.857585	60.194980
2	8.5263158	9.0000000	9.1617902	9.2434165	9.2926263	9.3255305	9.3490812	9.3667703	9.3805440	9.3915728
3	5.5383195	5.4623833	5.3907733	5.3426445	5.3091570	5.2847316	5.2661946	5.2516711	5.2399959	5.2304113

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
1	3.0776835	6.3137515	12.706205	31.820516	63.656741	127.32134	318.30884	636.61925	1273.2393	3183.0988
2	1.8856181	2.9199856	4.3026527	6.9645567	9.9248432	14.089047	22.327125	31.599055	44.704587	70.700071
3	1.6377444	2.3533634	3.1824463	4.5407029	5.8409093	7.4533185	10.214532	12.923979	16.326335	22.203742

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 Tables.

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