ｔ分布表

ｔ分布表（上側パーセント点）

ｔ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，t分布の上側 α 点 t_α(n) を示す。 \[ \alpha \longmapsto t_\alpha(n),\qquad \text{Pr}\{X>t_\alpha(n)\}=\alpha \] 上側 α 点は両側 2α 点に等しい。

n∖α	.050	.025	.010	.005
1	6.314	12.71	31.82	63.66
2	2.920	4.303	6.965	9.925
3	2.353	3.182	4.541	5.841
4	2.132	2.776	3.747	4.604
5	2.015	2.571	3.365	4.032
6	1.943	2.447	3.143	3.707
7	1.895	2.365	2.998	3.499
8	1.860	2.306	2.896	3.355
9	1.833	2.262	2.821	3.250
10	1.812	2.228	2.764	3.169

	.050	.025	.010	.005
11	1.796	2.201	2.718	3.106
12	1.782	2.179	2.681	3.055
13	1.771	2.160	2.650	3.012
14	1.761	2.145	2.624	2.977
15	1.753	2.131	2.602	2.947
16	1.746	2.120	2.583	2.921
17	1.740	2.110	2.567	2.898
18	1.734	2.101	2.552	2.878
19	1.729	2.093	2.539	2.861
20	1.725	2.086	2.528	2.845

	.050	.025	.010	.005
21	1.721	2.080	2.518	2.831
22	1.717	2.074	2.508	2.819
23	1.714	2.069	2.500	2.807
24	1.711	2.064	2.492	2.797
25	1.708	2.060	2.485	2.787
26	1.706	2.056	2.479	2.779
27	1.703	2.052	2.473	2.771
28	1.701	2.048	2.467	2.763
29	1.699	2.045	2.462	2.756
30	1.697	2.042	2.457	2.750

	.050	.025	.010	.005
31	1.696	2.040	2.453	2.744
32	1.694	2.037	2.449	2.738
33	1.692	2.035	2.445	2.733
34	1.691	2.032	2.441	2.728
35	1.690	2.030	2.438	2.724
36	1.688	2.028	2.434	2.719
37	1.687	2.026	2.431	2.715
38	1.686	2.024	2.429	2.712
39	1.685	2.023	2.426	2.708
40	1.684	2.021	2.423	2.704

	.050	.025	.010	.005
41	1.683	2.020	2.421	2.701
42	1.682	2.018	2.418	2.698
43	1.681	2.017	2.416	2.695
44	1.680	2.015	2.414	2.692
45	1.679	2.014	2.412	2.690
46	1.679	2.013	2.410	2.687
47	1.678	2.012	2.408	2.685
48	1.677	2.011	2.407	2.682
49	1.677	2.010	2.405	2.680
50	1.676	2.009	2.403	2.678

	.050	.025	.010	.005
60	1.671	2.000	2.390	2.660
70	1.667	1.994	2.381	2.648
80	1.664	1.990	2.374	2.639
90	1.662	1.987	2.368	2.632
100	1.660	1.984	2.364	2.626
110	1.659	1.982	2.361	2.621
120	1.658	1.980	2.358	2.617
130	1.657	1.978	2.355	2.614
140	1.656	1.977	2.353	2.611
150	1.655	1.976	2.351	2.609

	.050	.025	.010	.005
160	1.654	1.975	2.350	2.607
170	1.654	1.974	2.348	2.605
180	1.653	1.973	2.347	2.603
190	1.653	1.973	2.346	2.602
200	1.653	1.972	2.345	2.601
210	1.652	1.971	2.344	2.599
220	1.652	1.971	2.343	2.598
230	1.652	1.970	2.343	2.597
240	1.651	1.970	2.342	2.596
250	1.651	1.969	2.341	2.596

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ｔ分布表（両側パーセント点）

1. ｔ分布（上側） | 2. ｔ分布（両側）

ｔ分布の両側α点

表頭の両側確率 α と表側の自由度 n に対して，t分布の両側 α 点 t_α(n) を示す。 \[ \alpha \longmapsto t_\alpha(n),\qquad \text{Pr}\{|X|>t_\alpha(n)\}=\alpha \] 両側 α 点は上側 α/2 点に等しい。

n∖α	.100	.050	.020	.010
1	6.314	12.71	31.82	63.66
2	2.920	4.303	6.965	9.925
3	2.353	3.182	4.541	5.841
4	2.132	2.776	3.747	4.604
5	2.015	2.571	3.365	4.032
6	1.943	2.447	3.143	3.707
7	1.895	2.365	2.998	3.499
8	1.860	2.306	2.896	3.355
9	1.833	2.262	2.821	3.250
10	1.812	2.228	2.764	3.169

	.100	.050	.020	.010
11	1.796	2.201	2.718	3.106
12	1.782	2.179	2.681	3.055
13	1.771	2.160	2.650	3.012
14	1.761	2.145	2.624	2.977
15	1.753	2.131	2.602	2.947
16	1.746	2.120	2.583	2.921
17	1.740	2.110	2.567	2.898
18	1.734	2.101	2.552	2.878
19	1.729	2.093	2.539	2.861
20	1.725	2.086	2.528	2.845

	.100	.050	.020	.010
21	1.721	2.080	2.518	2.831
22	1.717	2.074	2.508	2.819
23	1.714	2.069	2.500	2.807
24	1.711	2.064	2.492	2.797
25	1.708	2.060	2.485	2.787
26	1.706	2.056	2.479	2.779
27	1.703	2.052	2.473	2.771
28	1.701	2.048	2.467	2.763
29	1.699	2.045	2.462	2.756
30	1.697	2.042	2.457	2.750

	.100	.050	.020	.010
31	1.696	2.040	2.453	2.744
32	1.694	2.037	2.449	2.738
33	1.692	2.035	2.445	2.733
34	1.691	2.032	2.441	2.728
35	1.690	2.030	2.438	2.724
36	1.688	2.028	2.434	2.719
37	1.687	2.026	2.431	2.715
38	1.686	2.024	2.429	2.712
39	1.685	2.023	2.426	2.708
40	1.684	2.021	2.423	2.704

	.100	.050	.020	.010
41	1.683	2.020	2.421	2.701
42	1.682	2.018	2.418	2.698
43	1.681	2.017	2.416	2.695
44	1.680	2.015	2.414	2.692
45	1.679	2.014	2.412	2.690
46	1.679	2.013	2.410	2.687
47	1.678	2.012	2.408	2.685
48	1.677	2.011	2.407	2.682
49	1.677	2.010	2.405	2.680
50	1.676	2.009	2.403	2.678

	.100	.050	.020	.010
60	1.671	2.000	2.390	2.660
70	1.667	1.994	2.381	2.648
80	1.664	1.990	2.374	2.639
90	1.662	1.987	2.368	2.632
100	1.660	1.984	2.364	2.626
110	1.659	1.982	2.361	2.621
120	1.658	1.980	2.358	2.617
130	1.657	1.978	2.355	2.614
140	1.656	1.977	2.353	2.611
150	1.655	1.976	2.351	2.609

	.100	.050	.020	.010
160	1.654	1.975	2.350	2.607
170	1.654	1.974	2.348	2.605
180	1.653	1.973	2.347	2.603
190	1.653	1.973	2.346	2.602
200	1.653	1.972	2.345	2.601
210	1.652	1.971	2.344	2.599
220	1.652	1.971	2.343	2.598
230	1.652	1.970	2.343	2.597
240	1.651	1.970	2.342	2.596
250	1.651	1.969	2.341	2.596

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Home 正規分布１正規分布２カイ2乗分布ｔ分布Ｆ分布

2016.8.9 作成 / 2020.2.19 更新