Теория статистического вывода - 64 стр.

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IV. Критические значения распределения Фишера F
α
(df
1
, df
2
)
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
1 161 199 216
225
230 234 237 239
241
242 243 244 245
245
246 246 247 247
248
248
2 18,51 19,00 19,16
19,25
19,30 19,33 19,35 19,37
19,38
19,40 19,40 19,41 19,42
19,42
19,43 19,43 19,44 19,44
19,44
19,45
3 10,13 9,552 9,277
9,117
9,013 8,941 8,887 8,845
8,812
8,785 8,763 8,745 8,729
8,715
8,703 8,692 8,683 8,675
8,667
8,660
4 7,709 6,944 6,591
6,388
6,256 6,163 6,094 6,041
5,999
5,964 5,936 5,912 5,891
5,873
5,858 5,844 5,832 5,821
5,811
5,803
5 6,608 5,786 5,409
5,192
5,050 4,950 4,876 4,818
4,772
4,735 4,704 4,678 4,655
4,636
4,619 4,604 4,590 4,579
4,568
4,558
6 5,987 5,143 4,757
4,534
4,387 4,284 4,207 4,147
4,099
4,060 4,027 4,000 3,976
3,956
3,938 3,922 3,908 3,896
3,884
3,874
7 5,591 4,737 4,347
4,120
3,972 3,866 3,787 3,726
3,677
3,637 3,603 3,575 3,550
3,529
3,511 3,494 3,480 3,467
3,455
3,445
8 5,318 4,459 4,066
3,838
3,688 3,581 3,500 3,438
3,388
3,347 3,313 3,284 3,259
3,237
3,218 3,202 3,187 3,173
3,161
3,150
9 5,117 4,256 3,863 3,633 3,482 3,374 3,293 3,230 3,179 3,137 3,102 3,073 3,048 3,025 3,006 2,989 2,974 2,960 2,948 2,936
10 4,965 4,103 3,708
3,478
3,326 3,217 3,135 3,072
3,020
2,978 2,943 2,913 2,887
2,865
2,845 2,828 2,812 2,798
2,785
2,774
11 4,844 3,982 3,587
3,357
3,204 3,095 3,012 2,948
2,896
2,854 2,818 2,788 2,761
2,739
2,719 2,701 2,685 2,671
2,658
2,646
12 4,747 3,885 3,490
3,259
3,106 2,996 2,913 2,849
2,796
2,753 2,717 2,687 2,660
2,637
2,617 2,599 2,583 2,568
2,555
2,544
13 4,667 3,806 3,411
3,179
3,025 2,915 2,832 2,767
2,714
2,671 2,635 2,604 2,577
2,554
2,533 2,515 2,499 2,484
2,471
2,459
14 4,600 3,739 3,344
3,112
2,958 2,848 2,764 2,699
2,646
2,602 2,565 2,534 2,507
2,484
2,463 2,445 2,428 2,413
2,400
2,388
15 4,543 3,682 3,287
3,056
2,901 2,790 2,707 2,641
2,588
2,544 2,507 2,475 2,448
2,424
2,403 2,385 2,368 2,353
2,340
2,328
α = 0,01
1 4052 4999 5404
5624
5764 5859 5928 5981
6022
6056 6083 6107 6126
6143
6157 6170 6181 6191
6201
6209
2 98,50 99,00 99,16
99,25
99,30 99,33 99,36 99,38
99,39
99,40 99,41 99,42 99,42
99,43
99,43 99,44 99,44 99,44
99,45
99,45
3 34,12 30,82 29,46
28,71
28,24 27,91 27,67 27,49
27,34
27,23 27,13 27,05 26,98
26,92
26,87 26,83 26,79 26,75
26,72
26,69
4 21,20 18,00 16,69
15,98
15,52 15,21 14,98 14,80
14,66
14,55 14,45 14,37 14,31
14,25
14,20 14,15 14,11 14,08
14,05
14,02
5 16,26 13,27 12,06
11,39
10,97 10,67 10,46 10,29
10,16
10,05 9,963 9,888 9,825
9,770
9,722 9,680 9,643 9,609
9,580
9,553
6 13,75 10,92 9,780
9,148
8,746 8,466 8,260 8,102
7,976
7,874 7,790 7,718 7,657
7,605
7,559 7,519 7,483 7,451
7,422
7,396
7 12,25 9,547 8,451
7,847
7,460 7,191 6,993 6,840
6,719
6,620 6,538 6,469 6,410
6,359
6,314 6,275 6,240 6,209
6,181
6,155
8 11,26 8,649 7,591
7,006
6,632 6,371 6,178 6,029
5,911
5,814 5,734 5,667 5,609
5,559
5,515 5,477 5,442 5,412
5,384
5,359
9 10,56 8,022 6,992 6,422 6,057 5,802 5,613 5,467 5,351 5,257 5,178 5,111 5,055 5,005 4,962 4,924 4,890 4,860 4,833 4,808
10 10,04 7,559 6,552
5,994
5,636 5,386 5,200 5,057
4,942
4,849 4,772 4,706 4,650
4,601
4,558 4,520 4,487 4,457
4,430
4,405
11 9,646 7,206 6,217
5,668
5,316 5,069 4,886 4,744
4,632
4,539 4,462 4,397 4,342
4,293
4,251 4,213 4,180 4,150
4,123
4,099
12 9,330 6,927 5,953
5,412
5,064 4,821 4,640 4,499
4,388
4,296 4,220 4,155 4,100
4,052
4,010 3,972 3,939 3,910
3,883
3,858
13 9,074 6,701 5,739
5,205
4,862 4,620 4,441 4,302
4,191
4,100 4,025 3,960 3,905
3,857
3,815 3,778 3,745 3,716
3,689
3,665
14 8,862 6,515 5,564
5,035
4,695 4,456 4,278 4,140
4,030
3,939 3,864 3,800 3,745
3,698
3,656 3,619 3,586 3,556
3,529
3,505
15 8,683 6,359 5,417
4,893
4,556 4,318 4,142 4,004
3,895
3,805 3,730 3,666 3,612
3,564
3,522 3,485 3,452 3,423
3,396
3,372
IV. Критические значения распределения Фишера Fα(df1, df2)
                                                          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
  1     161     199     216     225     230     234     237   239     241    242      243 244    245    245    246     246     247     247     248     248
  2    18,51   19,00   19,16   19,25   19,30   19,33   19,35 19,37 19,38 19,40 19,40 19,41 19,42 19,42        19,43   19,43   19,44   19,44   19,44   19,45
  3    10,13   9,552   9,277   9,117   9,013   8,941   8,887 8,845 8,812 8,785 8,763 8,745 8,729 8,715        8,703   8,692   8,683   8,675   8,667   8,660
  4    7,709   6,944   6,591   6,388   6,256   6,163   6,094 6,041 5,999 5,964 5,936 5,912 5,891 5,873        5,858   5,844   5,832   5,821   5,811   5,803
  5    6,608   5,786   5,409   5,192   5,050   4,950   4,876 4,818 4,772 4,735 4,704 4,678 4,655 4,636        4,619   4,604   4,590   4,579   4,568   4,558
  6    5,987   5,143   4,757   4,534   4,387   4,284   4,207 4,147 4,099 4,060 4,027 4,000 3,976 3,956        3,938   3,922   3,908   3,896   3,884   3,874
  7    5,591   4,737   4,347   4,120   3,972   3,866   3,787 3,726 3,677 3,637 3,603 3,575 3,550 3,529        3,511   3,494   3,480   3,467   3,455   3,445
  8    5,318   4,459   4,066   3,838   3,688   3,581   3,500 3,438 3,388 3,347 3,313 3,284 3,259 3,237        3,218   3,202   3,187   3,173   3,161   3,150
  9    5,117   4,256   3,863   3,633   3,482   3,374   3,293 3,230 3,179 3,137 3,102 3,073 3,048 3,025        3,006   2,989   2,974   2,960   2,948   2,936
 10    4,965   4,103   3,708   3,478   3,326   3,217   3,135 3,072 3,020 2,978 2,943 2,913 2,887 2,865        2,845   2,828   2,812   2,798   2,785   2,774
 11    4,844   3,982   3,587   3,357   3,204   3,095   3,012 2,948 2,896 2,854 2,818 2,788 2,761 2,739        2,719   2,701   2,685   2,671   2,658   2,646
 12    4,747   3,885   3,490   3,259   3,106   2,996   2,913 2,849 2,796 2,753 2,717 2,687 2,660 2,637        2,617   2,599   2,583   2,568   2,555   2,544
 13    4,667   3,806   3,411   3,179   3,025   2,915   2,832 2,767 2,714 2,671 2,635 2,604 2,577 2,554        2,533   2,515   2,499   2,484   2,471   2,459
 14    4,600   3,739   3,344   3,112   2,958   2,848   2,764 2,699 2,646 2,602 2,565 2,534 2,507 2,484        2,463   2,445   2,428   2,413   2,400   2,388
 15    4,543   3,682   3,287   3,056   2,901   2,790   2,707 2,641 2,588 2,544 2,507 2,475 2,448 2,424        2,403   2,385   2,368   2,353   2,340   2,328
                                                                               α = 0,01
  1    4052    4999    5404    5624    5764    5859    5928 5981 6022 6056 6083 6107 6126 6143                6157    6170    6181    6191    6201    6209
  2    98,50   99,00   99,16   99,25   99,30   99,33   99,36 99,38 99,39 99,40 99,41 99,42 99,42 99,43        99,43   99,44   99,44   99,44   99,45   99,45
  3    34,12   30,82   29,46   28,71   28,24   27,91   27,67 27,49 27,34 27,23 27,13 27,05 26,98 26,92        26,87   26,83   26,79   26,75   26,72   26,69
  4    21,20   18,00   16,69   15,98   15,52   15,21   14,98 14,80 14,66 14,55 14,45 14,37 14,31 14,25        14,20   14,15   14,11   14,08   14,05   14,02
  5    16,26   13,27   12,06   11,39   10,97   10,67   10,46 10,29 10,16 10,05 9,963 9,888 9,825 9,770        9,722   9,680   9,643   9,609   9,580   9,553
  6    13,75   10,92   9,780   9,148   8,746   8,466   8,260 8,102 7,976 7,874 7,790 7,718 7,657 7,605        7,559   7,519   7,483   7,451   7,422   7,396
  7    12,25   9,547   8,451   7,847   7,460   7,191   6,993 6,840 6,719 6,620 6,538 6,469 6,410 6,359        6,314   6,275   6,240   6,209   6,181   6,155
  8    11,26   8,649   7,591   7,006   6,632   6,371   6,178 6,029 5,911 5,814 5,734 5,667 5,609 5,559        5,515   5,477   5,442   5,412   5,384   5,359
  9    10,56   8,022   6,992   6,422   6,057   5,802   5,613 5,467 5,351 5,257 5,178 5,111 5,055 5,005        4,962   4,924   4,890   4,860   4,833   4,808
 10    10,04   7,559   6,552   5,994   5,636   5,386   5,200 5,057 4,942 4,849 4,772 4,706 4,650 4,601        4,558   4,520   4,487   4,457   4,430   4,405
 11    9,646   7,206   6,217   5,668   5,316   5,069   4,886 4,744 4,632 4,539 4,462 4,397 4,342 4,293        4,251   4,213   4,180   4,150   4,123   4,099
 12    9,330   6,927   5,953   5,412   5,064   4,821   4,640 4,499 4,388 4,296 4,220 4,155 4,100 4,052        4,010   3,972   3,939   3,910   3,883   3,858
 13    9,074   6,701   5,739   5,205   4,862   4,620   4,441 4,302 4,191 4,100 4,025 3,960 3,905 3,857        3,815   3,778   3,745   3,716   3,689   3,665
 14    8,862   6,515   5,564   5,035   4,695   4,456   4,278 4,140 4,030 3,939 3,864 3,800 3,745 3,698        3,656   3,619   3,586   3,556   3,529   3,505
 15    8,683   6,359   5,417   4,893   4,556   4,318   4,142 4,004 3,895 3,805 3,730 3,666 3,612 3,564        3,522   3,485   3,452   3,423   3,396   3,372