附表（分布函数表 表1-表5.4）

$P(X⩽k)={\sum }_{i=0}^k\frac{{\lambda }^i}{i!}{e}^{-\lambda }$
λ	k									λ	k
	0	1	2	3	4	5	6	7	8		0	1	2	3	4	5	6	7	8	9	10	11	12
0.1	0.905	0.995	1.000							2.1	0.122	0.380	0.650	0.839	0.938	0.980	0.994	0.999	1.000
0.2	0.819	0.982	0.999	1.000						2.2	0.111	0.355	0.623	0.819	0.928	0.975	0.993	0.998	1.000
0.3	0.741	0.963	0.996	1.000						2.3	0.100	0.331	0.596	0.799	0.916	0.970	0.991	0.997	0.999	1.000
0.4	0.670	0.938	0.992	0.999	1.000					2.4	0.091	0.308	0.570	0.779	0.904	0.964	0.988	0.997	0.999	1.000
0.5	0.607	0.910	0.986	0.998	1.000					2.5	0.082	0.287	0.544	0.758	0.891	0.958	0.986	0.996	0.999	1.000
0.6	0.549	0.878	0.977	0.997	1.000					2.6	0.074	0.267	0.518	0.736	0.877	0.951	0.983	0.995	0.999	1.000
0.7	0.497	0.844	0.966	0.994	0.999	1.000				2.7	0.067	0.249	0.494	0.714	0.863	0.943	0.979	0.993	0.998	0.999	1.000
0.8	0.449	0.809	0.953	0.991	0.999	1.000				2.8	0.061	0.231	0.469	0.692	0.848	0.935	0.976	0.992	0.998	0.999	1.000
0.9	0.407	0.772	0.937	0.987	0.998	1.000				2.9	0.055	0.215	0.446	0.670	0.832	0.926	0.971	0.990	0.997	0.999	1.000
1.0	0.368	0.736	0.920	0.981	0.996	0.999	1.000			3.0	0.050	0.199	0.423	0.647	0.815	0.916	0.966	0.988	0.996	0.999	1.000
1.1	0.333	0.699	0.900	0.974	0.995	0.999	1.000			3.1	0.045	0.185	0.401	0.625	0.798	0.906	0.961	0.986	0.995	0.999	1.000
1.2	0.301	0.663	0.879	0.966	0.992	0.998	1.000			3.2	0.041	0.171	0.380	0.603	0.781	0.895	0.955	0.983	0.994	0.998	1.000
1.3	0.273	0.627	0.857	0.957	0.989	0.998	1.000			3.3	0.037	0.159	0.359	0.580	0.763	0.883	0.949	0.980	0.993	0.998	0.999	1.000
1.4	0.247	0.592	0.833	0.946	0.986	0.997	0.999	1.000		3.4	0.033	0.147	0.340	0.558	0.744	0.871	0.942	0.977	0.992	0.997	0.999	1.000
1.5	0.223	0.558	0.809	0.934	0.981	0.996	0.999	1.000		3.5	0.030	0.136	0.321	0.537	0.725	0.858	0.935	0.973	0.990	0.997	0.999	1.000
1.6	0.202	0.525	0.783	0.921	0.976	0.994	0.999	1.000		3.6	0.027	0.126	0.303	0.515	0.706	0.844	0.927	0.969	0.988	0.996	0.999	1.000
1.7	0.183	0.493	0.757	0.907	0.970	0.992	0.998	1.000		3.7	0.025	0.116	0.285	0.494	0.687	0.830	0.918	0.965	0.986	0.995	0.998	1.000
1.8	0.165	0.463	0.731	0.891	0.964	0.990	0.997	0.999	1.000	3.8	0.022	0.107	0.269	0.473	0.668	0.816	0.909	0.960	0.984	0.994	0.998	0.999	1.000
1.9	0.150	0.434	0.704	0.875	0.956	0.987	0.997	0.999	1.000	3.9	0.020	0.099	0.253	0.453	0.648	0.801	0.899	0.955	0.981	0.993	0.998	0.999	1.000
2.0	0.135	0.406	0.677	0.857	0.947	0.983	0.995	0.999	1.000	4.0	0.018	0.092	0.238	0.433	0.629	0.785	0.889	0.949	0.979	0.992	0.997	0.999	1.000

表 1 泊松分布函数表

λ	k
	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14
5	0.007	0.040	0.125	0.265	0.440	0.616	0.762	0.867	0.932	0.968	0.986	0.995	0.998	0.999	1.000
6	0.002	0.017	0.062	0.151	0.285	0.446	0.606	0.744	0.847	0.916	0.957	0.980	0.991	0.996	0.999
7	0.001	0.007	0.030	0.082	0.173	0.301	0.450	0.599	0.729	0.830	0.901	0.947	0.973	0.987	0.994
8	0.000	0.003	0.014	0.042	0.100	0.191	0.313	0.453	0.593	0.717	0.816	0.888	0.936	0.966	0.983
9	0.000	0.001	0.006	0.021	0.055	0.116	0.207	0.324	0.456	0.587	0.706	0.803	0.876	0.926	0.959
10	0.000	0.000	0.003	0.010	0.029	0.067	0.130	0.220	0.333	0.458	0.583	0.697	0.792	0.864	0.917
11	0.000	0.000	0.001	0.005	0.015	0.038	0.079	0.143	0.232	0.341	0.460	0.579	0.689	0.781	0.854
12	0.000	0.000	0.001	0.002	0.008	0.020	0.046	0.090	0.155	0.242	0.347	0.462	0.576	0.682	0.772
13	0.000	0.000	0.000	0.001	0.004	0.011	0.026	0.054	0.100	0.166	0.252	0.353	0.463	0.573	0.675
14	0.000	0.000	0.000	0.000	0.002	0.006	0.014	0.032	0.062	0.109	0.176	0.260	0.358	0.464	0.570
15	0.000	0.000	0.000	0.000	0.001	0.003	0.008	0.018	0.037	0.070	0.118	0.185	0.268	0.363	0.466
λ	k
	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29
6	1.000
7	0.998	0.999	1.000
8	0.992	0.996	0.998	0.999	1.000
9	0.978	0.989	0.995	0.998	0.999	1.000
10	0.951	0.973	0.986	0.993	0.997	0.998	0.999	1.000
11	0.907	0.944	0.968	0.982	0.991	0.995	0.998	0.999	1.000
12	0.844	0.899	0.937	0.963	0.979	0.988	0.994	0.997	0.999	0.999	1.000
13	0.764	0.835	0.890	0.930	0.957	0.975	0.986	0.992	0.996	0.998	0.999	1.000
14	0.669	0.756	0.827	0.883	0.923	0.952	0.971	0.983	0.991	0.995	0.997	0.999	0.999	1.000
15	0.568	0.664	0.749	0.819	0.875	0.917	0.947	0.967	0.981	0.989	0.994	0.997	0.998	0.999	1.000

表 2 标准正态分布函数表

$\Phi (u)=\frac{1}{\sqrt{2\pi }}{\int }_{-\infty }^u{e}^{-t^{2/2}}dt$
u	0.00	0.01	0.02	0.03	0.04	0.05	0.06	0.07	0.08	0.09
0.0	0.500 0	0.504 0	0.508 0	0.512 0	0.516 0	0.519 9	0.523 9	0.527 9	0.531 9	0.535 9
0.1	0.539 8	0.543 8	0.547 8	0.551 7	0.555 7	0.559 6	0.563 6	0.567 5	0.571 4	0.575 3
0.2	0.579 3	0.583 2	0.587 1	0.591 0	0.594 8	0.598 7	0.602 6	0.606 4	0.610 3	0.614 1
0.3	0.617 9	0.621 7	0.625 5	0.629 3	0.633 1	0.636 8	0.640 6	0.644 3	0.648 0	0.651 7
0.4	0.655 4	0.659 1	0.662 8	0.666 4	0.670 0	0.673 6	0.677 2	0.680 8	0.684 4	0.687 9
0.5	0.691 5	0.695 0	0.698 5	0.701 9	0.705 4	0.708 8	0.712 3	0.715 7	0.719 0	0.722 4
0.6	0.725 7	0.729 1	0.732 4	0.735 7	0.738 9	0.742 2	0.745 4	0.748 6	0.751 7	0.754 9
0.7	0.758 0	0.761 1	0.764 2	0.767 3	0.770 4	0.773 4	0.776 4	0.779 4	0.782 3	0.785 2
0.8	0.788 1	0.791 0	0.793 9	0.796 7	0.799 5	0.802 3	0.805 1	0.807 8	0.810 6	0.813 3
0.9	0.815 9	0.818 6	0.821 2	0.823 8	0.826 4	0.828 9	0.831 5	0.834 0	0.836 5	0.838 9
1.0	0.841 3	0.843 8	0.846 1	0.848 5	0.850 8	0.853 1	0.855 4	0.857 7	0.859 9	0.862 1
1.1	0.864 3	0.866 5	0.868 6	0.870 8	0.872 9	0.874 9	0.877 0	0.879 0	0.881 0	0.883 0
1.2	0.884 9	0.886 9	0.888 8	0.890 7	0.892 5	0.894 4	0.896 2	0.898 0	0.899 7	0.901 5
1.3	0.903 2	0.904 9	0.906 6	0.908 2	0.909 9	0.911 5	0.913 1	0.914 7	0.916 2	0.917 7
1.4	0.919 2	0.920 7	0.922 2	0.923 6	0.925 1	0.926 5	0.927 9	0.929 2	0.930 6	0.931 9

u	0.00	0.01	0.02	0.03	0.04	0.05	0.06	0.07	0.08	0.09
1.5	0.933 2	0.934 5	0.935 7	0.937 0	0.938 2	0.939 4	0.940 6	0.941 8	0.942 9	0.944 1
1.6	0.945 2	0.946 3	0.947 4	0.948 4	0.949 5	0.950 5	0.951 5	0.952 5	0.953 5	0.954 5
1.7	0.955 4	0.956 4	0.957 3	0.958 2	0.959 1	0.959 9	0.960 8	0.961 6	0.962 5	0.963 3
1.8	0.964 1	0.964 9	0.965 6	0.966 4	0.967 1	0.967 8	0.968 6	0.969 3	0.969 9	0.970 6
1.9	0.971 3	0.971 9	0.972 6	0.973 2	0.973 8	0.974 4	0.975 0	0.975 6	0.976 1	0.976 7
2.0	0.977 2	0.977 8	0.978 3	0.978 8	0.979 3	0.979 8	0.980 3	0.980 8	0.981 2	0.981 7
2.1	0.982 1	0.982 6	0.983 0	0.983 4	0.983 8	0.984 2	0.984 6	0.985 0	0.985 4	0.985 7
2.2	0.986 1	0.986 4	0.986 8	0.987 1	0.987 5	0.987 8	0.988 1	0.988 4	0.988 7	0.989 0
2.3	0.989 3	0.989 6	0.989 8	0.990 1	0.990 4	0.990 6	0.990 9	0.991 1	0.991 3	0.991 6
2.4	0.991 8	0.992 0	0.992 2	0.992 5	0.992 7	0.992 9	0.993 1	0.993 2	0.993 4	0.993 6
2.5	0.993 8	0.994 0	0.994 1	0.994 3	0.994 5	0.994 6	0.994 8	0.994 9	0.995 1	0.995 2
2.6	0.995 3	0.995 5	0.995 6	0.995 7	0.995 9	0.996 0	0.996 1	0.996 2	0.996 3	0.996 4
2.7	0.996 5	0.996 6	0.996 7	0.996 8	0.996 9	0.997 0	0.997 1	0.997 2	0.997 3	0.997 4
2.8	0.997 4	0.997 5	0.997 6	0.997 7	0.997 7	0.997 8	0.997 9	0.997 9	0.998 0	0.998 1
2.9	0.998 1	0.998 2	0.998 2	0.998 3	0.998 4	0.998 4	0.998 5	0.998 5	0.998 6	0.998 6
u	0.0	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9
3	${0.9}^{2}8650$	${0.9}^{3}0324$	${0.9}^{3}3129$	${0.9}^{3}5166$	${0.9}^{3}6631$	${0.9}^{3}7674$	${0.9}^{3}8409$	${0.9}^{3}8922$	${0.9}^{4}2765$	${0.9}^{4}5190$
4	${0.9}^{4}6833$	${0.9}^{4}7934$	${0.9}^{4}8665$	${0.9}^{5}1460$	${0.9}^{5}4587$	${0.9}^{5}6602$	${0.9}^{5}7888$	${0.9}^{5}8699$	${0.9}^{6}2067$	${0.9}^{6}5208$
5	${0.9}^{6}7133$	${0.9}^{6}8302$	${0.9}^{7}0036$	${0.9}^{7}4210$	${0.9}^{7}6668$	${0.9}^{7}8101$	${0.9}^{7}8928$	${0.9}^{8}4010$	${0.9}^{8}6684$	${0.9}^{8}8182$
6	${0.9}^{9}0134$

$0.9^{2}8650$ 表示0.998650，其他同.

$P({\chi }^2(n)⩽{\chi }^2(n))=p$
表 3 ${\chi }^2$ 分布分位数 ${\chi }_p^2(n)$ 表

n	p
	0.005	0.01	0.025	0.05	0.1	0.9	0.95	0.975	0.99	0.995
1	0.000 0	0.000 2	0.001 0	0.003 9	0.015 8	2.705 5	3.841 5	5.023 9	6.634 9	7.879 4
2	0.010 0	0.020 1	0.050 6	0.102 6	0.210 7	4.605 2	5.991 5	7.377 8	9.210 3	10.596 6
3	0.071 7	0.114 8	0.215 8	0.351 8	0.584 4	6.251 4	7.814 7	9.348 4	11.344 9	12.838 2
4	0.207 0	0.297 1	0.484 4	0.710 7	1.063 6	7.779 4	9.487 7	11.143 3	13.276 7	14.860 3
5	0.411 7	0.554 3	0.831 2	1.145 5	1.610 3	9.236 4	11.070 5	12.832 5	15.086 3	16.749 6
6	0.675 7	0.872 1	1.237 3	1.635 4	2.204 1	10.644 6	12.591 6	14.449 4	16.811 9	18.547 6
7	0.989 3	1.239 0	1.689 9	2.167 3	2.833 1	12.017 0	14.067 1	16.012 8	18.475 3	20.277 7
8	1.344 4	1.646 5	2.179 7	2.732 6	3.489 5	13.361 6	15.507 3	17.534 5	20.090 2	21.955 0
9	1.734 9	2.087 9	2.700 4	3.325 1	4.168 2	14.683 7	16.919 0	19.022 8	21.666 0	23.589 4
10	2.155 9	2.558 2	3.247 0	3.940 3	4.865 2	15.987 2	18.307 0	20.483 2	23.209 3	25.188 2
11	2.603 2	3.053 5	3.815 7	4.574 8	5.577 8	17.275 0	19.675 1	21.920 0	24.725 0	26.756 8
12	3.073 8	3.570 6	4.403 8	5.226 0	6.303 8	18.549 3	21.026 1	23.336 7	26.217 0	28.299 5
13	3.565 0	4.106 9	5.008 8	5.891 9	7.041 5	19.811 9	22.362 0	24.735 6	27.688 2	29.819 5
14	4.074 7	4.660 4	5.628 7	6.570 6	7.789 5	21.064 1	23.684 8	26.118 9	29.141 2	31.319 3
15	4.600 9	5.229 3	6.262 1	7.260 9	8.546 8	22.307 1	24.995 8	27.488 4	30.577 9	32.801 3
16	5.142 2	5.812 2	6.907 7	7.961 6	9.312 2	23.541 8	26.296 2	28.845 4	31.999 9	34.267 2
17	5.697 2	6.407 8	7.564 2	8.671 8	10.085 2	24.769 0	27.587 1	30.191 0	33.408 7	35.718 5
18	6.264 8	7.014 9	8.230 7	9.390 5	10.864 9	25.989 4	28.869 3	31.526 4	34.805 3	37.156 5
19	6.844 0	7.632 7	8.906 5	10.117 0	11.650 9	27.203 6	30.143 5	32.852 3	36.190 9	38.582 3
20	7.433 8	8.260 4	9.590 8	10.850 8	12.442 6	28.412 0	31.410 4	34.169 6	37.566 2	39.996 8
21	8.033 7	8.897 2	10.282 9	11.591 3	13.239 6	29.615 1	32.670 6	35.478 9	38.932 2	41.401 1
22	8.642 7	9.542 5	10.982 3	12.338 0	14.041 5	30.813 3	33.924 4	36.780 7	40.289 4	42.795 7
23	9.260 4	10.195 7	11.688 6	13.090 5	14.848 0	32.006 9	35.172 5	38.075 6	41.638 4	44.181 3
24	9.886 2	10.856 4	12.401 2	13.848 4	15.658 7	33.196 2	36.415 0	39.364 1	42.979 8	45.558 5
25	10.519 7	11.524 0	13.119 7	14.611 4	16.473 4	34.381 6	37.652 5	40.646 5	44.314 1	46.927 9
26	11.160 2	12.198 1	13.843 9	15.379 2	17.291 9	35.563 2	38.885 1	41.923 2	45.641 7	48.289 9
27	11.807 6	12.878 5	14.573 4	16.151 4	18.113 9	36.741 2	40.113 3	43.194 5	46.962 9	49.644 9
28	12.461 3	13.564 7	15.307 9	16.927 9	18.939 2	37.915 9	41.337 1	44.460 8	48.278 2	50.993 4
29	13.121 1	14.256 5	16.047 1	17.708 4	19.767 7	39.087 5	42.557 0	45.722 3	49.587 9	52.335 6
30	13.786 7	14.953 5	16.790 8	18.492 7	20.599 2	40.256 0	43.773 0	46.979 2	50.892 2	53.672 0
31	14.457 8	15.655 5	17.538 7	19.280 6	21.433 6	41.421 7	44.985 3	48.231 9	52.191 4	55.002 7
32	15.134 0	16.362 2	18.290 8	20.071 9	22.270 6	42.584 7	46.194 3	49.480 4	53.485 8	56.328 1
33	15.815 3	17.073 5	19.046 7	20.866 5	23.110 2	43.745 2	47.399 9	50.725 1	54.775 5	57.648 4
34	16.501 3	17.789 1	19.806 3	21.664 3	23.952 3	44.903 2	48.602 4	51.966 0	56.060 9	58.963 9
35	17.191 8	18.508 9	20.569 4	22.465 0	24.796 7	46.058 8	49.801 8	53.203 3	57.342 1	60.274 8
36	17.886 7	19.232 7	21.335 9	23.268 6	25.643 3	47.212 2	50.998 5	54.437 3	58.619 2	61.581 2
37	18.585 8	19.960 2	22.105 6	24.074 9	26.492 1	48.363 4	52.192 3	55.668 0	59.892 5	62.883 3
38	19.288 9	20.691 4	22.878 5	24.883 9	27.343 0	49.512 6	53.383 5	56.895 5	61.162 1	64.181 4
39	19.995 9	21.426 2	23.654 3	25.695 4	28.195 8	50.659 8	54.572 2	58.120 1	62.428 1	65.475 6
40	20.706 5	22.164 3	24.433 0	26.509 3	29.050 5	51.805 1	55.758 5	59.341 7	63.690 7	66.766 0

$P(t(n)⩽t_p(n))=p$
表 4 t 分布分位数 $t_p(n)$ 表

n	p
	0.75	0.80	0.90	0.95	0.975	0.99	0.995	0.999
1	1.000 0	1.376 4	3.077 7	6.313 8	12.706 2	31.820 5	63.656 7	318.308 8
2	0.816 5	1.060 7	1.885 6	2.920 0	4.302 7	6.964 6	9.924 8	22.327 1
3	0.764 9	0.978 5	1.637 7	2.353 4	3.182 4	4.540 7	5.840 9	10.214 5
4	0.740 7	0.941 0	1.533 2	2.131 8	2.776 4	3.746 9	4.604 1	7.173 2
5	0.726 7	0.919 5	1.475 9	2.015 0	2.570 6	3.364 9	4.032 1	5.893 4
6	0.717 6	0.905 7	1.439 8	1.943 2	2.446 9	3.142 7	3.707 4	5.207 6
7	0.711 1	0.896 0	1.414 9	1.894 6	2.364 6	2.998 0	3.499 5	4.785 3
8	0.706 4	0.888 9	1.396 8	1.859 5	2.306 0	2.896 5	3.355 4	4.500 8
9	0.702 7	0.883 4	1.383 0	1.833 1	2.262 2	2.821 4	3.249 8	4.296 8
10	0.699 8	0.879 1	1.372 2	1.812 5	2.228 1	2.763 8	3.169 3	4.143 7
11	0.697 4	0.875 5	1.363 4	1.795 9	2.201 0	2.718 1	3.105 8	4.024 7
12	0.695 5	0.872 6	1.356 2	1.782 3	2.178 8	2.681 0	3.054 5	3.929 6
13	0.693 8	0.870 2	1.350 2	1.770 9	2.160 4	2.650 3	3.012 3	3.852 0
14	0.692 4	0.868 1	1.345 0	1.761 3	2.144 8	2.624 5	2.976 8	3.787 4
15	0.691 2	0.866 2	1.340 6	1.753 1	2.131 4	2.602 5	2.946 7	3.732 8
16	0.690 1	0.864 7	1.336 8	1.745 9	2.119 9	2.583 5	2.920 8	3.686 2
17	0.689 2	0.863 3	1.333 4	1.739 6	2.109 8	2.566 9	2.898 2	3.645 8
18	0.688 4	0.862 0	1.330 4	1.734 1	2.100 9	2.552 4	2.878 4	3.610 5
19	0.687 6	0.861 0	1.327 7	1.729 1	2.093 0	2.539 5	2.860 9	3.579 4
20	0.687 0	0.860 0	1.325 3	1.724 7	2.086 0	2.528 0	2.845 3	3.551 8
21	0.686 4	0.859 1	1.323 2	1.720 7	2.079 6	2.517 6	2.831 4	3.527 2
22	0.685 8	0.858 3	1.321 2	1.717 1	2.073 9	2.508 3	2.818 8	3.505 0
23	0.685 3	0.857 5	1.319 5	1.713 9	2.068 7	2.499 9	2.807 3	3.485 0
24	0.684 8	0.856 9	1.317 8	1.710 9	2.063 9	2.492 2	2.796 9	3.466 8
25	0.684 4	0.856 2	1.316 3	1.708 1	2.059 5	2.485 1	2.787 4	3.450 2
26	0.684 0	0.855 7	1.315 0	1.705 6	2.055 5	2.478 6	2.778 7	3.435 0
27	0.683 7	0.855 1	1.313 7	1.703 3	2.051 8	2.472 7	2.770 7	3.421 0
28	0.683 4	0.854 6	1.312 5	1.701 1	2.048 4	2.467 1	2.763 3	3.408 2
29	0.683 0	0.854 2	1.311 4	1.699 1	2.045 2	2.462 0	2.756 4	3.396 2
30	0.682 8	0.853 8	1.310 4	1.697 3	2.042 3	2.457 3	2.750 0	3.385 2
31	0.682 5	0.853 4	1.309 5	1.695 5	2.039 5	2.452 8	2.744 0	3.374 9
32	0.682 2	0.853 0	1.308 6	1.693 9	2.036 9	2.448 7	2.738 5	3.365 3
33	0.682 0	0.852 6	1.307 7	1.692 4	2.034 5	2.444 8	2.733 3	3.356 3
34	0.681 8	0.852 3	1.307 0	1.690 9	2.032 2	2.441 1	2.728 4	3.347 9
35	0.681 6	0.852 0	1.306 2	1.689 6	2.030 1	2.437 7	2.723 8	3.340 0
36	0.681 4	0.851 7	1.305 5	1.688 3	2.028 1	2.434 5	2.719 5	3.332 6
37	0.681 2	0.851 4	1.304 9	1.687 1	2.026 2	2.431 4	2.715 4	3.325 6
38	0.681 0	0.851 2	1.304 2	1.686 0	2.024 4	2.428 6	2.711 6	3.319 0
39	0.680 8	0.850 9	1.303 6	1.684 9	2.022 7	2.425 8	2.707 9	3.312 8
40	0.680 7	0.850 7	1.303 1	1.683 9	2.021 1	2.423 3	2.704 5	3.306 9

表 5.1 F 分布 0.90 分位数 $F_{0.90}(f_1,f_2)$ 表

$f_2$	$f_1$
	1	2	3	4	5	6	7	8	9	10	12	14	16	18	20	25	30	60	120	+∞
1	39.86	49.50	53.59	55.83	57.24	58.20	58.91	59.44	59.86	60.19	60.71	61.07	61.35	61.57	61.74	62.05	62.26	62.79	63.06	63.31
2	8.53	9.00	9.16	9.24	9.29	9.33	9.35	9.37	9.38	9.39	9.41	9.42	9.43	9.44	9.44	9.45	9.46	9.47	9.48	9.49
3	5.54	5.46	5.39	5.34	5.31	5.28	5.27	5.25	5.24	5.23	5.22	5.20	5.20	5.19	5.18	5.17	5.17	5.15	5.14	5.13
4	4.54	4.32	4.19	4.11	4.05	4.01	3.98	3.95	3.94	3.92	3.90	3.88	3.86	3.85	3.84	3.83	3.82	3.79	3.78	3.76
5	4.06	3.78	3.62	3.52	3.45	3.40	3.37	3.34	3.32	3.30	3.27	3.25	3.23	3.22	3.21	3.19	3.17	3.14	3.12	3.11
6	3.78	3.46	3.29	3.18	3.11	3.05	3.01	2.98	2.96	2.94	2.90	2.88	2.86	2.85	2.84	2.81	2.80	2.76	2.74	2.72
7	3.59	3.26	3.07	2.96	2.88	2.83	2.78	2.75	2.72	2.70	2.67	2.64	2.62	2.61	2.59	2.57	2.56	2.51	2.49	2.47
8	3.46	3.11	2.92	2.81	2.73	2.67	2.62	2.59	2.56	2.54	2.50	2.48	2.45	2.44	2.42	2.40	2.38	2.34	2.32	2.29
9	3.36	3.01	2.81	2.69	2.61	2.55	2.51	2.47	2.44	2.42	2.38	2.35	2.33	2.31	2.30	2.27	2.25	2.21	2.18	2.16
10	3.29	2.92	2.73	2.61	2.52	2.46	2.41	2.38	2.35	2.32	2.28	2.26	2.23	2.22	2.20	2.17	2.16	2.11	2.08	2.06
12	3.18	2.81	2.61	2.48	2.39	2.33	2.28	2.24	2.21	2.19	2.15	2.12	2.09	2.08	2.06	2.03	2.01	1.96	1.93	1.91
14	3.10	2.73	2.52	2.39	2.31	2.24	2.19	2.15	2.12	2.10	2.05	2.02	2.00	1.98	1.96	1.93	1.91	1.86	1.83	1.80
16	3.05	2.67	2.46	2.33	2.24	2.18	2.13	2.09	2.06	2.03	1.99	1.95	1.93	1.91	1.89	1.86	1.84	1.78	1.75	1.72
18	3.01	2.62	2.42	2.29	2.20	2.13	2.08	2.04	2.00	1.98	1.93	1.90	1.87	1.85	1.84	1.80	1.78	1.72	1.69	1.66
20	2.97	2.59	2.38	2.25	2.16	2.09	2.04	2.00	1.96	1.94	1.89	1.86	1.83	1.81	1.79	1.76	1.74	1.68	1.64	1.61
25	2.92	2.53	2.32	2.18	2.09	2.02	1.97	1.93	1.89	1.87	1.82	1.79	1.76	1.74	1.72	1.68	1.66	1.59	1.56	1.52
30	2.88	2.49	2.28	2.14	2.05	1.98	1.93	1.88	1.85	1.82	1.77	1.74	1.71	1.69	1.67	1.63	1.61	1.54	1.50	1.46
60	2.79	2.39	2.18	2.04	1.95	1.87	1.82	1.77	1.74	1.71	1.66	1.62	1.59	1.56	1.54	1.50	1.48	1.40	1.35	1.30
120	2.75	2.35	2.13	1.99	1.90	1.82	1.77	1.72	1.68	1.65	1.60	1.56	1.53	1.50	1.48	1.44	1.41	1.32	1.26	1.20
+∞	2.71	2.31	2.09	1.95	1.85	1.78	1.72	1.67	1.63	1.60	1.55	1.51	1.47	1.45	1.42	1.38	1.35	1.25	1.18	1.06

表 5.2 F 分布 0.95 分位数 $F_{0.95}(f_1,f_2)$ 表

$f_2$	$f_1$
	1	2	3	4	5	6	7	8	9	10	12	14	16	18	20	25	30	60	120	+ $\infty$
1	161.45	199.50	215.71	224.58	230.16	233.99	236.77	238.88	240.54	241.88	243.91	245.36	246.46	247.32	248.01	249.26	250.10	252.20	253.25	254.25
2	18.51	19.00	19.16	19.25	19.30	19.33	19.35	19.37	19.38	19.40	19.41	19.42	19.43	19.44	19.45	19.46	19.46	19.48	19.49	19.50
3	10.13	9.55	9.28	9.12	9.01	8.94	8.89	8.85	8.81	8.79	8.74	8.71	8.69	8.67	8.66	8.63	8.62	8.57	8.55	8.53
4	7.71	6.94	6.59	6.39	6.26	6.16	6.09	6.04	6.00	5.96	5.91	5.87	5.84	5.82	5.80	5.77	5.75	5.69	5.66	5.63
5	6.61	5.79	5.41	5.19	5.05	4.95	4.88	4.82	4.77	4.74	4.68	4.64	4.60	4.58	4.56	4.52	4.50	4.43	4.40	4.37
6	5.99	5.14	4.76	4.53	4.39	4.28	4.21	4.15	4.10	4.06	4.00	3.96	3.92	3.90	3.87	3.83	3.81	3.74	3.70	3.67
7	5.59	4.74	4.35	4.12	3.97	3.87	3.79	3.73	3.68	3.64	3.57	3.53	3.49	3.47	3.44	3.40	3.38	3.30	3.27	3.23
8	5.32	4.46	4.07	3.84	3.69	3.58	3.50	3.44	3.39	3.35	3.28	3.24	3.20	3.17	3.15	3.11	3.08	3.01	2.97	2.93
9	5.12	4.26	3.86	3.63	3.48	3.37	3.29	3.23	3.18	3.14	3.07	3.03	2.99	2.96	2.94	2.89	2.86	2.79	2.75	2.71
10	4.96	4.10	3.71	3.48	3.33	3.22	3.14	3.07	3.02	2.98	2.91	2.86	2.83	2.80	2.77	2.73	2.70	2.62	2.58	2.54
12	4.75	3.89	3.49	3.26	3.11	3.00	2.91	2.85	2.80	2.75	2.69	2.64	2.60	2.57	2.54	2.50	2.47	2.38	2.34	2.30
14	4.60	3.74	3.34	3.11	2.96	2.85	2.76	2.70	2.65	2.60	2.53	2.48	2.44	2.41	2.39	2.34	2.31	2.22	2.18	2.13
16	4.49	3.63	3.24	3.01	2.85	2.74	2.66	2.59	2.54	2.49	2.42	2.37	2.33	2.30	2.28	2.23	2.19	2.11	2.06	2.01
18	4.41	3.55	3.16	2.93	2.77	2.66	2.58	2.51	2.46	2.41	2.34	2.29	2.25	2.22	2.19	2.14	2.11	2.02	1.97	1.92
20	4.35	3.49	3.10	2.87	2.71	2.60	2.51	2.45	2.39	2.35	2.28	2.22	2.18	2.15	2.12	2.07	2.04	1.95	1.90	1.85
25	4.24	3.39	2.99	2.76	2.60	2.49	2.40	2.34	2.28	2.24	2.16	2.11	2.07	2.04	2.01	1.96	1.92	1.82	1.77	1.71
30	4.17	3.32	2.92	2.69	2.53	2.42	2.33	2.27	2.21	2.16	2.09	2.04	1.99	1.96	1.93	1.88	1.84	1.74	1.68	1.63
60	4.00	3.15	2.76	2.53	2.37	2.25	2.17	2.10	2.04	1.99	1.92	1.86	1.82	1.78	1.75	1.69	1.65	1.53	1.47	1.39
120	3.92	3.07	2.68	2.45	2.29	2.18	2.09	2.02	1.96	1.91	1.83	1.78	1.73	1.69	1.66	1.60	1.55	1.43	1.35	1.26
+ $\infty$	3.85	3.00	2.61	2.38	2.22	2.10	2.01	1.94	1.88	1.84	1.76	1.70	1.65	1.61	1.58	1.51	1.46	1.32	1.23	1.08

表 5.3 F 分布 0.975 分位数 $F_{0.975}(f_1,f_2)$ 表

$f_2$	$f_1$
	1	2	3	4	5	6	7	8	9	10	12	14	16	18	20	25	30	60	120	+\infty
1	647.79	799.50	864.16	899.58	921.85	937.11	948.22	956.66	963.28	968.63	976.71	982.53	986.92	990.35	993.10	998.08	1 001.41	1 009.80	1 014.02	1 018.00
2	38.51	39.00	39.17	39.25	39.30	39.33	39.36	39.37	39.39	39.40	39.41	39.43	39.44	39.44	39.45	39.46	39.46	39.48	39.49	39.50
3	17.44	16.04	15.44	15.10	14.88	14.73	14.62	14.54	14.47	14.42	14.34	14.28	14.23	14.20	14.17	14.12	14.08	13.99	13.95	13.90
4	12.22	10.65	9.98	9.60	9.36	9.20	9.07	8.98	8.90	8.84	8.75	8.68	8.63	8.59	8.56	8.50	8.46	8.36	8.31	8.26
5	10.01	8.43	7.76	7.39	7.15	6.98	6.85	6.76	6.68	6.62	6.52	6.46	6.40	6.36	6.33	6.27	6.23	6.12	6.07	6.02
6	8.81	7.26	6.60	6.23	5.99	5.82	5.70	5.60	5.52	5.46	5.37	5.30	5.24	5.20	5.17	5.11	5.07	4.96	4.90	4.85
7	8.07	6.54	5.89	5.52	5.29	5.12	4.99	4.90	4.82	4.76	4.67	4.60	4.54	4.50	4.47	4.40	4.36	4.25	4.20	4.15
8	7.57	6.06	5.42	5.05	4.82	4.65	4.53	4.43	4.36	4.30	4.20	4.13	4.08	4.03	4.00	3.94	3.89	3.78	3.73	3.67
9	7.21	5.71	5.08	4.72	4.48	4.32	4.20	4.10	4.03	3.96	3.87	3.80	3.74	3.70	3.67	3.60	3.56	3.45	3.39	3.34
10	6.94	5.46	4.83	4.47	4.24	4.07	3.95	3.85	3.78	3.72	3.62	3.55	3.50	3.45	3.42	3.35	3.31	3.20	3.14	3.08
12	6.55	5.10	4.47	4.12	3.89	3.73	3.61	3.51	3.44	3.37	3.28	3.21	3.15	3.11	3.07	3.01	2.96	2.85	2.79	2.73
14	6.30	4.86	4.24	3.89	3.66	3.50	3.38	3.29	3.21	3.15	3.05	2.98	2.92	2.88	2.84	2.78	2.73	2.61	2.55	2.49
16	6.12	4.69	4.08	3.73	3.50	3.34	3.22	3.12	3.05	2.99	2.89	2.82	2.76	2.72	2.68	2.61	2.57	2.45	2.38	2.32
18	5.98	4.56	3.95	3.61	3.38	3.22	3.10	3.01	2.93	2.87	2.77	2.70	2.64	2.60	2.56	2.49	2.44	2.32	2.26	2.19
20	5.87	4.46	3.86	3.51	3.29	3.13	3.01	2.91	2.84	2.77	2.68	2.60	2.55	2.50	2.46	2.40	2.35	2.22	2.16	2.09
25	5.69	4.29	3.69	3.35	3.13	2.97	2.85	2.75	2.68	2.61	2.51	2.44	2.38	2.34	2.30	2.23	2.18	2.05	1.98	1.91
30	5.57	4.18	3.59	3.25	3.03	2.87	2.75	2.65	2.57	2.51	2.41	2.34	2.28	2.23	2.20	2.12	2.07	1.94	1.87	1.79
60	5.29	3.93	3.34	3.01	2.79	2.63	2.51	2.41	2.33	2.27	2.17	2.09	2.03	1.98	1.94	1.87	1.82	1.67	1.58	1.49
120	5.15	3.80	3.23	2.89	2.67	2.52	2.39	2.30	2.22	2.16	2.05	1.98	1.92	1.87	1.82	1.75	1.69	1.53	1.43	1.32
+ $\infty$	5.03	3.70	3.12	2.79	2.57	2.41	2.29	2.20	2.12	2.05	1.95	1.87	1.81	1.76	1.72	1.63	1.57	1.40	1.28	1.09

表 5.4 F 分布 0.99 分位数 $F_{0.99}(f_1,f_2)$ 表

$f_2$	$f_1$
	1	2	3	4	5	6	7	8	9	10	12	14	16	18	20	25	30	60	120	+ $\infty$
1	4 052.18	4 999.50	5 403.35	5 624.58	5 763.65	5 858.99	5 928.36	5 981.07	6 022.47	6 055.85	6 106.32	6 142.67	6 170.10	6 191.53	6 208.73	6 239.83	6 260.65	6 313.03	6 339.39	6 364.27
2	98.50	99.00	99.17	99.25	99.30	99.33	99.36	99.37	99.39	99.40	99.42	99.43	99.44	99.44	99.45	99.46	99.47	99.48	99.49	99.50
3	34.12	30.82	29.46	28.71	28.24	27.91	27.67	27.49	27.35	27.23	27.05	26.92	26.83	26.75	26.69	26.58	26.50	26.32	26.22	26.13
4	21.20	18.00	16.69	15.98	15.52	15.21	14.98	14.80	14.66	14.55	14.37	14.25	14.15	14.08	14.02	13.91	13.84	13.65	13.56	13.47
5	16.26	13.27	12.06	11.39	10.97	10.67	10.46	10.29	10.16	10.05	9.89	9.77	9.68	9.61	9.55	9.45	9.38	9.20	9.11	9.03
6	13.75	10.92	9.78	9.15	8.75	8.47	8.26	8.10	7.98	7.87	7.72	7.60	7.52	7.45	7.40	7.30	7.23	7.06	6.97	6.89
7	12.25	9.55	8.45	7.85	7.46	7.19	6.99	6.84	6.72	6.62	6.47	6.36	6.28	6.21	6.16	6.06	5.99	5.82	5.74	5.65
8	11.26	8.65	7.59	7.01	6.63	6.37	6.18	6.03	5.91	5.81	5.67	5.56	5.48	5.41	5.36	5.26	5.20	5.03	4.95	4.86
9	10.56	8.02	6.99	6.42	6.06	5.80	5.61	5.47	5.35	5.26	5.11	5.01	4.92	4.86	4.81	4.71	4.65	4.48	4.40	4.32
10	10.04	7.56	6.55	5.99	5.64	5.39	5.20	5.06	4.94	4.85	4.71	4.60	4.52	4.46	4.41	4.31	4.25	4.08	4.00	3.91
12	9.33	6.93	5.95	5.41	5.06	4.82	4.64	4.50	4.39	4.30	4.16	4.05	3.97	3.91	3.86	3.76	3.70	3.54	3.45	3.37
14	8.86	6.51	5.56	5.04	4.69	4.46	4.28	4.14	4.03	3.94	3.80	3.70	3.62	3.56	3.51	3.41	3.35	3.18	3.09	3.01
16	8.53	6.23	5.29	4.77	4.44	4.20	4.03	3.89	3.78	3.69	3.55	3.45	3.37	3.31	3.26	3.16	3.10	2.93	2.84	2.76
18	8.29	6.01	5.09	4.58	4.25	4.01	3.84	3.71	3.60	3.51	3.37	3.27	3.19	3.13	3.08	2.98	2.92	2.75	2.66	2.57
20	8.10	5.85	4.94	4.43	4.10	3.87	3.70	3.56	3.46	3.37	3.23	3.13	3.05	2.99	2.94	2.84	2.78	2.61	2.52	2.43
25	7.77	5.57	4.68	4.18	3.85	3.63	3.46	3.32	3.22	3.13	2.99	2.89	2.81	2.75	2.70	2.60	2.54	2.36	2.27	2.18
30	7.56	5.39	4.51	4.02	3.70	3.47	3.30	3.17	3.07	2.98	2.84	2.74	2.66	2.60	2.55	2.45	2.39	2.21	2.11	2.01
60	7.08	4.98	4.13	3.65	3.34	3.12	2.95	2.82	2.72	2.63	2.50	2.39	2.31	2.25	2.20	2.10	2.03	1.84	1.73	1.61
120	6.85	4.79	3.95	3.48	3.17	2.96	2.79	2.66	2.56	2.47	2.34	2.23	2.15	2.09	2.03	1.93	1.86	1.66	1.53	1.39
+ $\infty$	6.65	4.62	3.79	3.33	3.03	2.81	2.65	2.52	2.42	2.33	2.19	2.09	2.01	1.94	1.89	1.78	1.71	1.48	1.34	1.11