カイ2乗分布表 | 確率分布

カイ2乗分布表（上側パーセント点）

カイ2乗分布の上側α点

表頭の上側確率 α と表側の自由度 n に対して，χ²分布の上側 α 点 χ²_α(n) を示す。 \[ \alpha \longmapsto \chi^2_\alpha(n),\qquad \text{Pr}\{X>\chi^2_\alpha(n)\}=\alpha \]

n∖α	.995	.990	.975	.950	.050	.025	.010	.005
1	.00004	.00016	.00098	.00393	3.8415	5.0239	6.6349	7.8794
2	.01003	.02010	.05064	.10259	5.9915	7.3778	9.2103	10.597
3	.07172	.11483	.21580	.35185	7.8147	9.3484	11.345	12.838
4	.20699	.29711	.48442	.71072	9.4877	11.143	13.277	14.860
5	.41174	.55430	.83121	1.1455	11.070	12.833	15.086	16.750
6	.67573	.87209	1.2373	1.6354	12.592	14.449	16.812	18.548
7	.98926	1.2390	1.6899	2.1673	14.067	16.013	18.475	20.278
8	1.3444	1.6465	2.1797	2.7326	15.507	17.535	20.090	21.955
9	1.7349	2.0879	2.7004	3.3251	16.919	19.023	21.666	23.589
10	2.1559	2.5582	3.2470	3.9403	18.307	20.483	23.209	25.188

	.995	.990	.975	.950	.050	.025	.010	.005
11	2.6032	3.0535	3.8157	4.5748	19.675	21.920	24.725	26.757
12	3.0738	3.5706	4.4038	5.2260	21.026	23.337	26.217	28.300
13	3.5650	4.1069	5.0088	5.8919	22.362	24.736	27.688	29.819
14	4.0747	4.6604	5.6287	6.5706	23.685	26.119	29.141	31.319
15	4.6009	5.2293	6.2621	7.2609	24.996	27.488	30.578	32.801
16	5.1422	5.8122	6.9077	7.9616	26.296	28.845	32.000	34.267
17	5.6972	6.4078	7.5642	8.6718	27.587	30.191	33.409	35.718
18	6.2648	7.0149	8.2307	9.3905	28.869	31.526	34.805	37.156
19	6.8440	7.6327	8.9065	10.117	30.144	32.852	36.191	38.582
20	7.4338	8.2604	9.5908	10.851	31.410	34.170	37.566	39.997

	.995	.990	.975	.950	.050	.025	.010	.005
21	8.0337	8.8972	10.283	11.591	32.671	35.479	38.932	41.401
22	8.6427	9.5425	10.982	12.338	33.924	36.781	40.289	42.796
23	9.2604	10.196	11.689	13.091	35.172	38.076	41.638	44.181
24	9.8862	10.856	12.401	13.848	36.415	39.364	42.980	45.559
25	10.520	11.524	13.120	14.611	37.652	40.646	44.314	46.928
26	11.160	12.198	13.844	15.379	38.885	41.923	45.642	48.290
27	11.808	12.879	14.573	16.151	40.113	43.195	46.963	49.645
28	12.461	13.565	15.308	16.928	41.337	44.461	48.278	50.993
29	13.121	14.256	16.047	17.708	42.557	45.722	49.588	52.336
30	13.787	14.953	16.791	18.493	43.773	46.979	50.892	53.672

	.995	.990	.975	.950	.050	.025	.010	.005
31	14.458	15.655	17.539	19.281	44.985	48.232	52.191	55.003
32	15.134	16.362	18.291	20.072	46.194	49.480	53.486	56.328
33	15.815	17.074	19.047	20.867	47.400	50.725	54.776	57.648
34	16.501	17.789	19.806	21.664	48.602	51.966	56.061	58.964
35	17.192	18.509	20.569	22.465	49.802	53.203	57.342	60.275
36	17.887	19.233	21.336	23.269	50.998	54.437	58.619	61.581
37	18.586	19.960	22.106	24.075	52.192	55.668	59.893	62.883
38	19.289	20.691	22.878	24.884	53.384	56.896	61.162	64.181
39	19.996	21.426	23.654	25.695	54.572	58.120	62.428	65.476
40	20.707	22.164	24.433	26.509	55.758	59.342	63.691	66.766

	.995	.990	.975	.950	.050	.025	.010	.005
41	21.421	22.906	25.215	27.326	56.942	60.561	64.950	68.053
42	22.138	23.650	25.999	28.144	58.124	61.777	66.206	69.336
43	22.859	24.398	26.785	28.965	59.304	62.990	67.459	70.616
44	23.584	25.148	27.575	29.787	60.481	64.201	68.710	71.893
45	24.311	25.901	28.366	30.612	61.656	65.410	69.957	73.166
46	25.041	26.657	29.160	31.439	62.830	66.617	71.201	74.437
47	25.775	27.416	29.956	32.268	64.001	67.821	72.443	75.704
48	26.511	28.177	30.755	33.098	65.171	69.023	73.683	76.969
49	27.249	28.941	31.555	33.930	66.339	70.222	74.919	78.231
50	27.991	29.707	32.357	34.764	67.505	71.420	76.154	79.490

	.995	.990	.975	.950	.050	.025	.010	.005
60	35.534	37.485	40.482	43.188	79.082	83.298	88.379	91.952
70	43.275	45.442	48.758	51.739	90.531	95.023	100.43	104.21
80	51.172	53.540	57.153	60.391	101.88	106.63	112.33	116.32
90	59.196	61.754	65.647	69.126	113.15	118.14	124.12	128.30
100	67.328	70.065	74.222	77.929	124.34	129.56	135.81	140.17
110	75.550	78.458	82.867	86.792	135.48	140.92	147.41	151.95
120	83.852	86.923	91.573	95.705	146.57	152.21	158.95	163.65
130	92.222	95.451	100.33	104.66	157.61	163.45	170.42	175.28
140	100.65	104.03	109.14	113.66	168.61	174.65	181.84	186.85
150	109.14	112.67	117.98	122.69	179.58	185.80	193.21	198.36

	.995	.990	.975	.950	.050	.025	.010	.005
160	117.68	121.35	126.87	131.76	190.52	196.92	204.53	209.82
170	126.26	130.06	135.79	140.85	201.42	208.00	215.81	221.24
180	134.88	138.82	144.74	149.97	212.30	219.04	227.06	232.62
190	143.55	147.61	153.72	159.11	223.16	230.06	238.27	243.96
200	152.24	156.43	162.73	168.28	233.99	241.06	249.45	255.26
210	160.97	165.28	171.76	177.47	244.81	252.03	260.59	266.54
220	169.73	174.16	180.81	186.67	255.60	262.97	271.72	277.78
230	178.51	183.06	189.89	195.89	266.38	273.90	282.81	288.99
240	187.32	191.99	198.98	205.14	277.14	284.80	293.89	300.18
250	196.16	200.94	208.10	214.39	287.88	295.69	304.94	311.35