Теория статистического вывода - 65 стр.

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Число степеней свободы для бóльшей дисперсии df
1
df
2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
α = 0,05
16 4,494 3,634 3,239
3,007
2,852 2,741 2,657 2,591
2,538
2,494 2,456 2,425 2,397
2,373
2,352 2,333 2,317 2,302
2,288
2,276
17 4,451 3,592 3,197
2,965
2,810 2,699 2,614 2,548
2,494
2,450 2,413 2,381 2,353
2,329
2,308 2,289 2,272 2,257
2,243
2,230
18 4,414 3,555 3,160
2,928
2,773 2,661 2,577 2,510
2,456
2,412 2,374 2,342 2,314
2,290
2,269 2,250 2,233 2,217
2,203
2,191
19 4,381 3,522 3,127 2,895 2,740 2,628 2,544 2,477 2,423 2,378 2,340 2,308 2,280 2,256 2,234 2,215 2,198 2,182 2,168 2,155
20 4,351 3,493 3,098
2,866
2,711 2,599 2,514 2,447
2,393
2,348 2,310 2,278 2,250
2,225
2,203 2,184 2,167 2,151
2,137
2,124
21 4,325 3,467 3,072
2,840
2,685 2,573 2,488 2,420
2,366
2,321 2,283 2,250 2,222
2,197
2,176 2,156 2,139 2,123
2,109
2,096
22 4,301 3,443 3,049
2,817
2,661 2,549 2,464 2,397
2,342
2,297 2,259 2,226 2,198
2,173
2,151 2,131 2,114 2,098
2,084
2,071
23 4,279 3,422 3,028
2,796
2,640 2,528 2,442 2,375
2,320
2,275 2,236 2,204 2,175
2,150
2,128 2,109 2,091 2,075
2,061
2,048
24 4,260 3,403 3,009
2,776
2,621 2,508 2,423 2,355
2,300
2,255 2,216 2,183 2,155
2,130
2,108 2,088 2,070 2,054
2,040
2,027
25 4,242 3,385 2,991
2,759
2,603 2,490 2,405 2,337
2,282
2,236 2,198 2,165 2,136
2,111
2,089 2,069 2,051 2,035
2,021
2,007
26 4,225 3,369 2,975
2,743
2,587 2,474 2,388 2,321
2,265
2,220 2,181 2,148 2,119
2,094
2,072 2,052 2,034 2,018
2,003
1,990
27 4,210 3,354 2,960
2,728
2,572 2,459 2,373 2,305
2,250
2,204 2,166 2,132 2,103
2,078
2,056 2,036 2,018 2,002
1,987
1,974
28 4,196 3,340 2,947
2,714
2,558 2,445 2,359 2,291
2,236
2,190 2,151 2,118 2,089
2,064
2,041 2,021 2,003 1,987
1,972
1,959
29 4,183 3,328 2,934 2,701 2,545 2,432 2,346 2,278 2,223 2,177 2,138 2,104 2,075 2,050 2,027 2,007 1,989 1,973 1,958 1,945
34 4,130 3,276 2,883
2,650
2,494 2,380 2,294 2,225
2,170
2,123 2,084 2,050 2,021
1,995
1,972 1,952 1,933 1,917
1,902
1,888
39 4,091 3,238 2,845
2,612
2,456 2,342 2,255 2,187
2,131
2,084 2,044 2,010 1,981
1,954
1,931 1,911 1,892 1,875
1,860
1,846
α = 0,01
16 8,531 6,226 5,292
4,773
4,437 4,202 4,026 3,890
3,780
3,691 3,616 3,553 3,498
3,451
3,409 3,372 3,339 3,310
3,283
3,259
17 8,400 6,112 5,185
4,669
4,336 4,101 3,927 3,791
3,682
3,593 3,518 3,455 3,401
3,353
3,312 3,275 3,242 3,212
3,186
3,162
18 8,285 6,013 5,092
4,579
4,248 4,015 3,841 3,705
3,597
3,508 3,434 3,371 3,316
3,269
3,227 3,190 3,158 3,128
3,101
3,077
19 8,185 5,926 5,010 4,500 4,171 3,939 3,765 3,631 3,523 3,434 3,360 3,297 3,242 3,195 3,153 3,116 3,084 3,054 3,027 3,003
20 8,096 5,849 4,938
4,431
4,103 3,871 3,699 3,564
3,457
3,368 3,294 3,231 3,177
3,130
3,088 3,051 3,018 2,989
2,962
2,938
21 8,017 5,780 4,874
4,369
4,042 3,812 3,640 3,506
3,398
3,310 3,236 3,173 3,119
3,072
3,030 2,993 2,960 2,931
2,904
2,880
22 7,945 5,719 4,817
4,313
3,988 3,758 3,587 3,453
3,346
3,258 3,184 3,121 3,067
3,019
2,978 2,941 2,908 2,879
2,852
2,827
23 7,881 5,664 4,765
4,264
3,939 3,710 3,539 3,406
3,299
3,211 3,137 3,074 3,020
2,973
2,931 2,894 2,861 2,832
2,805
2,780
24 7,823 5,614 4,718
4,218
3,895 3,667 3,496 3,363
3,256
3,168 3,094 3,032 2,977
2,930
2,889 2,852 2,819 2,789
2,762
2,738
25 7,770 5,568 4,675
4,177
3,855 3,627 3,457 3,324
3,217
3,129 3,056 2,993 2,939
2,892
2,850 2,813 2,780 2,751
2,724
2,699
26 7,721 5,526 4,637
4,140
3,818 3,591 3,421 3,288
3,182
3,094 3,021 2,958 2,904
2,857
2,815 2,778 2,745 2,715
2,688
2,664
27 7,677 5,488 4,601
4,106
3,785 3,558 3,388 3,256
3,149
3,062 2,988 2,926 2,872
2,824
2,783 2,746 2,713 2,683
2,656
2,632
28 7,636 5,453 4,568
4,074
3,754 3,528 3,358 3,226
3,120
3,032 2,959 2,896 2,842
2,795
2,753 2,716 2,683 2,653
2,626
2,602
29 7,598 5,420 4,538 4,045 3,725 3,499 3,330 3,198 3,092 3,005 2,931 2,868 2,814 2,767 2,726 2,689 2,656 2,626 2,599 2,574
34 7,444 5,289 4,416
3,927
3,611 3,386 3,218 3,087
2,981
2,894 2,821 2,758 2,704
2,657
2,615 2,578 2,545 2,515
2,488
2,463
39 7,333 5,194 4,327
3,843
3,528 3,305 3,137 3,006
2,901
2,814 2,741 2,678 2,624
2,577
2,535 2,498 2,465 2,434
2,407
2,382
                                                         Число степеней свободы для бóльшей дисперсии df1
df2
       1       2       3       4       5       6        7      8      9      10      11  12      13     14    15      16      17      18      19      20
                                                                              α = 0,05
16    4,494   3,634   3,239   3,007   2,852   2,741   2,657 2,591 2,538 2,494 2,456 2,425 2,397 2,373        2,352   2,333   2,317   2,302   2,288   2,276
17    4,451   3,592   3,197   2,965   2,810   2,699   2,614 2,548 2,494 2,450 2,413 2,381 2,353 2,329        2,308   2,289   2,272   2,257   2,243   2,230
18    4,414   3,555   3,160   2,928   2,773   2,661   2,577 2,510 2,456 2,412 2,374 2,342 2,314 2,290        2,269   2,250   2,233   2,217   2,203   2,191
19    4,381   3,522   3,127   2,895   2,740   2,628   2,544 2,477 2,423 2,378 2,340 2,308 2,280 2,256        2,234   2,215   2,198   2,182   2,168   2,155
20    4,351   3,493   3,098   2,866   2,711   2,599   2,514 2,447 2,393 2,348 2,310 2,278 2,250 2,225        2,203   2,184   2,167   2,151   2,137   2,124
21    4,325   3,467   3,072   2,840   2,685   2,573   2,488 2,420 2,366 2,321 2,283 2,250 2,222 2,197        2,176   2,156   2,139   2,123   2,109   2,096
22    4,301   3,443   3,049   2,817   2,661   2,549   2,464 2,397 2,342 2,297 2,259 2,226 2,198 2,173        2,151   2,131   2,114   2,098   2,084   2,071
23    4,279   3,422   3,028   2,796   2,640   2,528   2,442 2,375 2,320 2,275 2,236 2,204 2,175 2,150        2,128   2,109   2,091   2,075   2,061   2,048
24    4,260   3,403   3,009   2,776   2,621   2,508   2,423 2,355 2,300 2,255 2,216 2,183 2,155 2,130        2,108   2,088   2,070   2,054   2,040   2,027
25    4,242   3,385   2,991   2,759   2,603   2,490   2,405 2,337 2,282 2,236 2,198 2,165 2,136 2,111        2,089   2,069   2,051   2,035   2,021   2,007
26    4,225   3,369   2,975   2,743   2,587   2,474   2,388 2,321 2,265 2,220 2,181 2,148 2,119 2,094        2,072   2,052   2,034   2,018   2,003   1,990
27    4,210   3,354   2,960   2,728   2,572   2,459   2,373 2,305 2,250 2,204 2,166 2,132 2,103 2,078        2,056   2,036   2,018   2,002   1,987   1,974
28    4,196   3,340   2,947   2,714   2,558   2,445   2,359 2,291 2,236 2,190 2,151 2,118 2,089 2,064        2,041   2,021   2,003   1,987   1,972   1,959
29    4,183   3,328   2,934   2,701   2,545   2,432   2,346 2,278 2,223 2,177 2,138 2,104 2,075 2,050        2,027   2,007   1,989   1,973   1,958   1,945
34    4,130   3,276   2,883   2,650   2,494   2,380   2,294 2,225 2,170 2,123 2,084 2,050 2,021 1,995        1,972   1,952   1,933   1,917   1,902   1,888
39    4,091   3,238   2,845   2,612   2,456   2,342   2,255 2,187 2,131 2,084 2,044 2,010 1,981 1,954        1,931   1,911   1,892   1,875   1,860   1,846
                                                                              α = 0,01
16    8,531   6,226   5,292   4,773   4,437   4,202   4,026 3,890 3,780 3,691 3,616 3,553 3,498 3,451        3,409   3,372   3,339   3,310   3,283   3,259
17    8,400   6,112   5,185   4,669   4,336   4,101   3,927 3,791 3,682 3,593 3,518 3,455 3,401 3,353        3,312   3,275   3,242   3,212   3,186   3,162
18    8,285   6,013   5,092   4,579   4,248   4,015   3,841 3,705 3,597 3,508 3,434 3,371 3,316 3,269        3,227   3,190   3,158   3,128   3,101   3,077
19    8,185   5,926   5,010   4,500   4,171   3,939   3,765 3,631 3,523 3,434 3,360 3,297 3,242 3,195        3,153   3,116   3,084   3,054   3,027   3,003
20    8,096   5,849   4,938   4,431   4,103   3,871   3,699 3,564 3,457 3,368 3,294 3,231 3,177 3,130        3,088   3,051   3,018   2,989   2,962   2,938
21    8,017   5,780   4,874   4,369   4,042   3,812   3,640 3,506 3,398 3,310 3,236 3,173 3,119 3,072        3,030   2,993   2,960   2,931   2,904   2,880
22    7,945   5,719   4,817   4,313   3,988   3,758   3,587 3,453 3,346 3,258 3,184 3,121 3,067 3,019        2,978   2,941   2,908   2,879   2,852   2,827
23    7,881   5,664   4,765   4,264   3,939   3,710   3,539 3,406 3,299 3,211 3,137 3,074 3,020 2,973        2,931   2,894   2,861   2,832   2,805   2,780
24    7,823   5,614   4,718   4,218   3,895   3,667   3,496 3,363 3,256 3,168 3,094 3,032 2,977 2,930        2,889   2,852   2,819   2,789   2,762   2,738
25    7,770   5,568   4,675   4,177   3,855   3,627   3,457 3,324 3,217 3,129 3,056 2,993 2,939 2,892        2,850   2,813   2,780   2,751   2,724   2,699
26    7,721   5,526   4,637   4,140   3,818   3,591   3,421 3,288 3,182 3,094 3,021 2,958 2,904 2,857        2,815   2,778   2,745   2,715   2,688   2,664
27    7,677   5,488   4,601   4,106   3,785   3,558   3,388 3,256 3,149 3,062 2,988 2,926 2,872 2,824        2,783   2,746   2,713   2,683   2,656   2,632
28    7,636   5,453   4,568   4,074   3,754   3,528   3,358 3,226 3,120 3,032 2,959 2,896 2,842 2,795        2,753   2,716   2,683   2,653   2,626   2,602
29    7,598   5,420   4,538   4,045   3,725   3,499   3,330 3,198 3,092 3,005 2,931 2,868 2,814 2,767        2,726   2,689   2,656   2,626   2,599   2,574
34    7,444   5,289   4,416   3,927   3,611   3,386   3,218 3,087 2,981 2,894 2,821 2,758 2,704 2,657        2,615   2,578   2,545   2,515   2,488   2,463
39    7,333   5,194   4,327   3,843   3,528   3,305   3,137 3,006 2,901 2,814 2,741 2,678 2,624 2,577        2,535   2,498   2,465   2,434   2,407   2,382