Appendix C: The \(\chi^2\) Distribution Table

One-sided critical values for the χ²-distribution: P(X² > χ²_{ν, α}) = α

ν	α = 0.1	α = 0.05	α = 0.025	α = 0.01	α = 0.005
1	2.706	3.841	5.024	6.635	7.879
2	4.605	5.991	7.378	9.210	10.597
3	6.251	7.815	9.348	11.345	12.838
4	7.779	9.488	11.143	13.277	14.860
5	9.236	11.070	12.833	15.086	16.750
6	10.645	12.592	14.449	16.812	18.548
7	12.017	14.067	16.013	18.475	20.278
8	13.362	15.507	17.535	20.090	21.955
9	14.684	16.919	19.023	21.666	23.589
10	15.987	18.307	20.483	23.209	25.188
11	17.275	19.675	21.920	24.725	26.757
12	18.549	21.026	23.337	26.217	28.300
13	19.812	22.362	24.736	27.688	29.819
14	21.064	23.685	26.119	29.141	31.319
15	22.307	24.996	27.488	30.578	32.801
16	23.542	26.296	28.845	32.000	34.267
17	24.769	27.587	30.191	33.409	35.718
18	25.989	28.869	31.526	34.805	37.156
19	27.204	30.144	32.852	36.191	38.582
20	28.412	31.410	34.170	37.566	39.997
21	29.615	32.671	35.479	38.932	41.401
22	30.813	33.924	36.781	40.289	42.796
23	32.007	35.172	38.076	41.638	44.181
24	33.196	36.415	39.364	42.980	45.559
25	34.382	37.652	40.646	44.314	46.928
26	35.563	38.885	41.923	45.642	48.290
27	36.741	40.113	43.195	46.963	49.645
28	37.916	41.337	44.461	48.278	50.993
29	39.087	42.557	45.722	49.588	52.336
30	40.256	43.773	46.979	50.892	53.672
31	41.422	44.985	48.232	52.191	55.003
32	42.585	46.194	49.480	53.486	56.328
33	43.745	47.400	50.725	54.776	57.648
34	44.903	48.602	51.966	56.061	58.964
35	46.059	49.802	53.203	57.342	60.275
36	47.212	50.998	54.437	58.619	61.581
37	48.363	52.192	55.668	59.893	62.883
38	49.513	53.384	56.896	61.162	64.181
39	50.660	54.572	58.120	62.428	65.476
40	51.805	55.758	59.342	63.691	66.766
41	52.949	56.942	60.561	64.950	68.053
42	54.090	58.124	61.777	66.206	69.336
43	55.230	59.304	62.990	67.459	70.616
44	56.369	60.481	64.201	68.710	71.893
45	57.505	61.656	65.410	69.957	73.166
46	58.641	62.830	66.617	71.201	74.437
47	59.774	64.001	67.821	72.443	75.704
48	60.907	65.171	69.023	73.683	76.969
49	62.038	66.339	70.222	74.919	78.231
50	63.167	67.505	71.420	76.154	79.490