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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
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