D Critical values for \(\chi^2\)-distribution

The critical value \((\chi^2)^*\) given below has a critical probability \(p\) under \(H_0\), i.e. \(P(\chi^2 \geq (\chi^2)^*|H_0)=p\).

The table below provides the critical boundary values \((\chi^2)^*\) for much used critical probabilities \(p\), for the degrees of freedom indicated in the first column.

	0.2	0.1	0.05	0.025	0.01	0.005	0.0025	0.001
1	1.64	2.71	3.84	5.02	6.63	7.88	9.14	10.83
2	3.22	4.61	5.99	7.38	9.21	10.60	11.98	13.82
3	4.64	6.25	7.81	9.35	11.34	12.84	14.32	16.27
4	5.99	7.78	9.49	11.14	13.28	14.86	16.42	18.47
5	7.29	9.24	11.07	12.83	15.09	16.75	18.39	20.52
6	8.56	10.64	12.59	14.45	16.81	18.55	20.25	22.46
7	9.80	12.02	14.07	16.01	18.48	20.28	22.04	24.32
8	11.03	13.36	15.51	17.53	20.09	21.95	23.77	26.12
9	12.24	14.68	16.92	19.02	21.67	23.59	25.46	27.88
10	13.44	15.99	18.31	20.48	23.21	25.19	27.11	29.59
11	14.63	17.28	19.68	21.92	24.72	26.76	28.73	31.26
12	15.81	18.55	21.03	23.34	26.22	28.30	30.32	32.91
13	16.98	19.81	22.36	24.74	27.69	29.82	31.88	34.53
14	18.15	21.06	23.68	26.12	29.14	31.32	33.43	36.12
15	19.31	22.31	25.00	27.49	30.58	32.80	34.95	37.70
16	20.47	23.54	26.30	28.85	32.00	34.27	36.46	39.25
17	21.61	24.77	27.59	30.19	33.41	35.72	37.95	40.79
18	22.76	25.99	28.87	31.53	34.81	37.16	39.42	42.31
19	23.90	27.20	30.14	32.85	36.19	38.58	40.88	43.82
20	25.04	28.41	31.41	34.17	37.57	40.00	42.34	45.31
21	26.17	29.62	32.67	35.48	38.93	41.40	43.78	46.80
22	27.30	30.81	33.92	36.78	40.29	42.80	45.20	48.27
23	28.43	32.01	35.17	38.08	41.64	44.18	46.62	49.73
24	29.55	33.20	36.42	39.36	42.98	45.56	48.03	51.18
25	30.68	34.38	37.65	40.65	44.31	46.93	49.44	52.62
30	36.25	40.26	43.77	46.98	50.89	53.67	56.33	59.70
40	47.27	51.81	55.76	59.34	63.69	66.77	69.70	73.40
50	58.16	63.17	67.50	71.42	76.15	79.49	82.66	86.66
100	111.67	118.50	124.34	129.56	135.81	140.17	144.29	149.45
200	216.61	226.02	233.99	241.06	249.45	255.26	260.74	267.54
400	423.59	436.65	447.63	457.31	468.72	476.61	483.99	493.13