Home 正規分布1 正規分布2 カイ2乗分布 t分布 F分布
1. t分布(上側) | 2. t分布(両側)
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 tα(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 |
分布表のタイプを選択
1. t分布(上側) | 2. t分布(両側)
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 tα(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 |
分布表のタイプを選択
2016.8.9 作成 / 2020.2.19 更新
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