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Table A.6 Critical Values for Chi-Squared Distributions |
x7 density curve |
Shaded area = @ |
i |
0 |
z fe Rey |
v 995 99 975 95 90 10 05 025 01 005 |
1 | 0.000 0.000 0.001 0.004 0.016 2706 3.843 5.025 6637 7.882 |
2 0.010 0.020 0.051 0.103 0.211 4.605 5.992 7.378 9.210 10.597 |
3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.344 12.837 |
4 0.207 0.297 0.484 0711 1.064 7.179 9.488 11.143 13.277 14.860 |
5 0.412 0.554 0.831 1.145 1.610 9.236 11.070 12.832 15.085 16.748 |
6 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.440 16.812 18.548 |
7 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.012 18.474 20.276 |
8 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.534 20.090 21.954 |
9] 1.735 2088 2700 3.325 4.168 14.684 16.919 19.022 21.665 23.587 |
10 | 2156 2558 3.247 3.940 4865 15.987 18.307 20.483 23.209 25.188 |
11 | 2.603 3.053 3.816 © 4.575 5.578—«:17.275 19.675 21.920 24.724 26.755 |
12 | 3.074 3571 4404 5.226 = 6.304. 18.549 21.026 23.337 26.217 28.300 |
13 3.565 4.107 5.009 5.892 7.041 19.812 22.362 24.735. .27.687 29.817 |
14 4.075 4.660 5.629 6.571 7.790 21.064 =. 23.685 26.119 29.141 31.319 |
15 4.600 5.229 6.262 7.261 8.547 22.307. = 24.996 27.488 = 30.577 32.799 |
16 5.142 5.812 6.908 7.962 9.312 23.542 26.296 28.845 32.000 34.267 |
17 5.697 6.407 7.564 8.682 10.085 24.769. 27.587 30.190 33.408 = 35.716 |
18 6.265 7.015 8.231 9.390 10.865 25.989 28.869 = 31.526 = 34.805 37.156 |
19 6.843 7.632 8.906 10.117 11.651 27.203 = 30.143, 32.852 36.190 38.580 |
20 7.434 8.260 9.591 10.851 12443 28412 31.410 =. 34.170 337.566 = 39.997 |
21 | 8033 8897 10.283 11.591 13.240 29.615 32.670 35.478 38.930 41.399 |
22 | 8643 9.542 10.982 12338 14.042 30.813 33.924 36.781 40.289 42.796 |
23 | 9.260 10.195 11.688 13.090 14.848 32.007 35.172 38.075 41.637 44.179 |
24 9.886 10.856 12.401 13.848 15.659 33.196 36.415 39.364 = 42.980 45.558 |
25 10.519 11.523 13.120 14.611 16.473 34.381 37.652 40.646 = 44.313 46.925 |
26 11.160 12.198 13.844 15.379 17.292 35.563 38.885 41.923 45.642 48.290 |
27 11.807 12.878 14.573 16.151 18.114 36.741 40.113 43.194 46.962 49.642 |
28 12.461 13.565 15.308 16.928 18.939 37.916 41.337. 44.461 48.278 50.993 |
29 13.120 14.256 16.047 17.708 19.768 39.087 42.557 45.772, 49.586 = 52.333 |
30 13.787 14.954 16.791 18.493 20.599 40.256 §=— 43.773 46.979» 550.892. 53.672 |
31 | 14.457 15.655 17.538 19.280 21.433 41.422 44.985 48.231 52.190 55.000 |
32 | 15.134 16.362 18.291 20.072 22.271 42.585 46.194 49.480 53.486 56.328 |
33 | 15.814 17.073 19.046 20.866 23.110 43.745 47.400 50.724 54.774 57.646 |
34 | 16.501 17.789 19.806 21.664 23.952 44.903 48.602 51.966 56.061 58.964 |
35 17.191 18.508 20.569 22.465 24.796 = 46.059 49.802 53.203 57.340 ~—-60.272 |
36 17.887 19.233 21.336 = 23.269 25.643. 47.212, 50.998 54.437 58.619 61.581 |
37 18.584 19.960 22.105 24.075 26.492 48.363. 52.192 55.667 59.891 62.880 |
38 19.289 20.691 22.878 24.884 27.343 49.513 53.384 = 56.896 = 61.162 64,181 |
39 19.994 21.425 23.654 25.695 28.196 = 50.660) 54.572 58.119 62.426 65.473 |
40 | 20.706 22.164 24.433 26.509 29.050 51.805 55.758 59.342 63.691 66.766 |
2 2 2 |
For v > 40, x2, ~ eA |
--- Trang 810 --- |
Appendix Tables 797 |
Table A.7_ t Curve Tail Areas |
density cy Area to the |
0 t |
1 |
Av 10203 4 5 6 7 8 9 0 1 2 13 4 15 16 17 18 |
0.0 | .500 .500 500 .500 .500 .500 .500 .500 .500 500 .500 500 .500 .500 .500 .500 .500 .500 |
0.1 | 468 465 463 463 462. 462 462 461 461 461 461 461 461 461 461 461 .461 461 |
0.2 | .437 430 427 426 425 424 424 423 423 423 423 422 422 422 422 422 422 422 |
0.3 | .407 .396 .392 390 .388 .387 386 .386 386 385 385 385 384 384 384 384 384 384 |
0.4 | .379 364 358 355 .353 .352 351 .350 349 349 348 348 348 347 347 347 347 347 |
O5 | .352 333 .326 322 .319 317 316 315 315 .314 313 .313 313 .312 312 312 .312 .312 |
0.6 | .328 305 .295 .290 .287 .285 .284 .283 .282 .281 .280 .280 .279 .279 .279 .278 .278 .278 |
0.7 | .306 .278 .267 .261 .258 .255 253 .252 251 .250 .249 .249 248 .247 247 .247 .247 .246 |
0.8 | 285 .254 241 234 .230 .227 225 223 222 221 .220 220 219 .218 218 .218 217 .217 |
0.9 | .267 .232 .217 .210 .205 .201 .199 .197 .196 .195 .194 .193 .192 .191 .191 .191 .190 .190 |
1.0 | .250 211 .196 187 .182 .178 .175 .173 .172 .170 .169 .169 .168 .167 .167 .166 .166 .165 |
11 | 235 193 .176 167 .162 .157 154 .152 150 .149 147 146 146 .144 144 144 143.143 |
1.2 | 221 177 .158 .148 142 138 135.132 .130 .129 128 .127 .126 .124 .124 1124 .123 123 |
13 | .209 162 .142 132 125 121 117 115 113 111 .110 .109 108 .107 .107 .106 .105 .105 |
1.4 | .197 148 .128 .117 .110 .106 .102 .100 .098 .096 .095 .093 .092 .091 .091 .090 .090 .089 |
1.5 | .187 .136 .115 .104 .097 .092 .089 .086 .084 .082 .081 .080 .079 .077 .077 .077 .076 .075 |
1.6 | 178 .125 .104 .092 .085 .080 .077 .074 .072 .070 .069 .068 .067 .065 .065 .065 .064 .064 |
1.7 | .169 .116 .094 .082 .075 .070 .065 .064 .062 .060 .059 .057 .056 .055 .055 .054 .054 .053 |
1.8 | .161 .107 .085 .073 .066 .061 .057 .055 .053 .051 .050 .049 .048 .046 .046 .045 .045 .044 |
1.9 | .154 099 .077 065 .058 .053 .050 .047 .045 043 .042 041 .040 038 .038 .038 .037 .037 |
2.0 | .148 .092 .070 .058 .051 .046 .043 .040 .038 .037 .035 .034 .033 .032 .032 .031 .031 .030 |
21 | .141 085 .063 .052 .045 .040 .037 .034 .033 .031 .030 .029 028 .027 027 .026 .025 .025 |
2.2 | .136 .079 .058 .046 .040 .035 .032 .029 .028 .026 .025 .024 .023 .022 .022 .021 .021 .021 |
2.3 | .131 .074 .052 .041 .035 .031 .027 .025 .023 .022 .021 .020 .019 .018 .018 .018 .017 .017 |
2.4 | .126 .069 .048 .037 .031 .027 024 .022 .020 019 .018 .017 .016 015 .015 .014 .014 .014 |
2.5 | .121 .065 .044 .033 .027 .023 .020 .018 .017 .016 015 .014 .013 .012 .012 012 .O11 .011 |
2.6 | .117 .061 .040 .030 .024 .020 .018 .016 .014 .013 .012 .012 .011 .010 .010 .010 .009 .009 |
2.7 | .113 .057 .037 .027 .021 .018 .015 .014 .012 .011 .010 .010 .009 .008 .008 .008 .008 .007 |
2.8 | .109 .054 .034 024 .019 .016 .013 .012 .010 .009 .009 .008 .008 .007 .007 .006 .006 .006 |
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