Теория статистического вывода - 75 стр.

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Критические значения распределения Фишера F
α
(df
1
, df
2
) (продолжение)
Число степеней свободы для бóльшей дисперсии df
1
df
2
119 129 139 149 159 169 179 189 199 249 299 349 399 499 599 699 799 899 999
α = 0,05
1 253 253 253
253
254 254 254 254
254
254 254 254 254
254
254 254 254 254 254
254
2 19,49 19,49 19,49
19,49
19,49 19,49 19,49 19,49
19,49
19,49 19,49 19,49 19,49
19,49
19,49 19,49 19,49 19,49 19,49
19,50
3 8,550 8,548 8,546
8,545
8,544 8,543 8,542 8,541
8,540
8,538 8,536 8,534 8,533
8,532
8,531 8,530 8,530 8,530 8,529
8,526
4 5,658 5,656 5,654
5,652
5,651 5,649 5,648 5,647
5,646
5,643 5,640 5,638 5,637
5,635
5,634 5,633 5,633 5,632 5,632
5,628
5 4,399 4,396 4,394
4,392
4,390 4,389 4,387 4,386
4,385
4,381 4,378 4,377 4,375
4,373
4,372 4,371 4,370 4,369 4,369
4,365
6 3,705 3,702 3,700
3,698
3,696 3,694 3,693 3,692
3,691
3,686 3,683 3,681 3,680
3,678
3,676 3,675 3,674 3,674 3,673
3,669
7 3,268 3,265 3,262
3,260
3,258 3,257 3,255 3,254
3,253
3,248 3,245 3,243 3,241
3,239
3,237 3,236 3,235 3,235 3,234
3,230
8 2,967 2,964 2,962
2,959
2,957 2,956 2,954 2,953
2,951
2,947 2,943 2,941 2,940
2,937
2,936 2,934 2,934 2,933 2,932
2,928
9 2,748 2,745 2,742 2,740 2,738 2,736 2,734 2,733 2,731 2,727 2,723 2,721 2,719 2,717 2,715 2,714 2,713 2,712 2,712 2,707
10 2,580 2,577 2,574
2,572
2,570 2,568 2,566 2,565
2,564
2,558 2,555 2,553 2,551
2,548
2,546 2,545 2,544 2,544 2,543
2,538
11 2,448 2,445 2,442
2,440
2,437 2,436 2,434 2,432
2,431
2,426 2,422 2,420 2,418
2,415
2,413 2,412 2,411 2,410 2,410
2,404
12 2,341 2,338 2,335
2,332
2,330 2,328 2,326 2,325
2,323
2,318 2,314 2,312 2,310
2,307
2,305 2,304 2,303 2,302 2,302
2,296
13 2,253 2,249 2,246
2,244
2,241 2,239 2,237 2,236
2,234
2,229 2,225 2,222 2,220
2,218
2,216 2,214 2,213 2,213 2,212
2,206
14 2,178 2,175 2,171
2,169
2,166 2,164 2,163 2,161
2,159
2,154 2,150 2,147 2,145
2,142
2,140 2,139 2,138 2,137 2,136
2,131
15 2,114 2,111 2,108
2,105
2,102 2,100 2,098 2,097
2,095
2,089 2,085 2,083 2,081
2,078
2,076 2,074 2,073 2,072 2,072
2,066
α = 0,01
1 6340 6341 6343
6344
6346 6347 6348 6349
6350
6353 6355 6357 6358
6360
6361 6361 6362 6362 6363
6366
2 99,49 99,49 99,49
99,49
99,49 99,49 99,49 99,49
99,49
99,50 99,50 99,50 99,50
99,50
99,50 99,50 99,50 99,50 99,50
99,50
3 26,22 26,21 26,21
26,20
26,20 26,19 26,19 26,19
26,18
26,17 26,16 26,16 26,15
26,15
26,14 26,14 26,14 26,14 26,14
26,13
4 13,56 13,55 13,55
13,54
13,53 13,53 13,53 13,52
13,52
13,51 13,50 13,50 13,49
13,49
13,48 13,48 13,48 13,48 13,47
13,46
5 9,112 9,105 9,099
9,094
9,089 9,085 9,082 9,079
9,076
9,064 9,057 9,052 9,048
9,042
9,039 9,036 9,034 9,033 9,032
9,020
6 6,970 6,963 6,957
6,952
6,947 6,943 6,940 6,937
6,934
6,923 6,916 6,911 6,907
6,901
6,898 6,895 6,894 6,892 6,891
6,880
7 5,738 5,731 5,725
5,720
5,716 5,712 5,709 5,705
5,703
5,692 5,685 5,680 5,676
5,671
5,667 5,665 5,663 5,661 5,660
5,650
8 4,947 4,940 4,934
4,929
4,925 4,921 4,918 4,914
4,912
4,901 4,894 4,889 4,885
4,880
4,876 4,874 4,872 4,871 4,869
4,859
9 4,398 4,392 4,386 4,381 4,377 4,373 4,369 4,366 4,363 4,353 4,346 4,341 4,337 4,332 4,328 4,326 4,324 4,322 4,321 4,311
10 3,997 3,990 3,985
3,980
3,975 3,971 3,968 3,965
3,962
3,951 3,944 3,939 3,936
3,930
3,927 3,924 3,922 3,921 3,920
3,909
11 3,691 3,684 3,679
3,674
3,669 3,665 3,662 3,659
3,656
3,645 3,638 3,633 3,629
3,624
3,620 3,618 3,616 3,614 3,613
3,602
12 3,450 3,443 3,437
3,432
3,428 3,424 3,421 3,417
3,415
3,404 3,397 3,392 3,388
3,382
3,379 3,376 3,374 3,373 3,372
3,361
13 3,255 3,249 3,243
3,238
3,233 3,229 3,226 3,222
3,220
3,209 3,202 3,196 3,193
3,187
3,184 3,181 3,179 3,177 3,176
3,165
14 3,095 3,088 3,082
3,077
3,072 3,068 3,065 3,062
3,059
3,048 3,041 3,035 3,031
3,026
3,022 3,020 3,018 3,016 3,015
3,004
15 2,960 2,953 2,947
2,942
2,937 2,933 2,930 2,927
2,924
2,913 2,905 2,900 2,896
2,891
2,887 2,884 2,882 2,881 2,880
2,868
Критические значения распределения Фишера Fα(df1, df2) (продолжение)
                                                         Число степеней свободы для бóльшей дисперсии df1
df2
      119     129     139     149     159     169      179   189     199    249      299 349    399    499   599     699     799     899     999      ∞
                                                                              α = 0,05
  1    253     253     253     253     254     254     254   254     254    254      254 254    254    254    254     254     254     254     254     254
  2   19,49   19,49   19,49   19,49   19,49   19,49   19,49 19,49 19,49 19,49 19,49 19,49 19,49 19,49        19,49   19,49   19,49   19,49   19,49   19,50
  3   8,550   8,548   8,546   8,545   8,544   8,543   8,542 8,541 8,540 8,538 8,536 8,534 8,533 8,532        8,531   8,530   8,530   8,530   8,529   8,526
  4   5,658   5,656   5,654   5,652   5,651   5,649   5,648 5,647 5,646 5,643 5,640 5,638 5,637 5,635        5,634   5,633   5,633   5,632   5,632   5,628
  5   4,399   4,396   4,394   4,392   4,390   4,389   4,387 4,386 4,385 4,381 4,378 4,377 4,375 4,373        4,372   4,371   4,370   4,369   4,369   4,365
  6   3,705   3,702   3,700   3,698   3,696   3,694   3,693 3,692 3,691 3,686 3,683 3,681 3,680 3,678        3,676   3,675   3,674   3,674   3,673   3,669
  7   3,268   3,265   3,262   3,260   3,258   3,257   3,255 3,254 3,253 3,248 3,245 3,243 3,241 3,239        3,237   3,236   3,235   3,235   3,234   3,230
  8   2,967   2,964   2,962   2,959   2,957   2,956   2,954 2,953 2,951 2,947 2,943 2,941 2,940 2,937        2,936   2,934   2,934   2,933   2,932   2,928
  9   2,748   2,745   2,742   2,740   2,738   2,736   2,734 2,733 2,731 2,727 2,723 2,721 2,719 2,717        2,715   2,714   2,713   2,712   2,712   2,707
 10   2,580   2,577   2,574   2,572   2,570   2,568   2,566 2,565 2,564 2,558 2,555 2,553 2,551 2,548        2,546   2,545   2,544   2,544   2,543   2,538
 11   2,448   2,445   2,442   2,440   2,437   2,436   2,434 2,432 2,431 2,426 2,422 2,420 2,418 2,415        2,413   2,412   2,411   2,410   2,410   2,404
 12   2,341   2,338   2,335   2,332   2,330   2,328   2,326 2,325 2,323 2,318 2,314 2,312 2,310 2,307        2,305   2,304   2,303   2,302   2,302   2,296
 13   2,253   2,249   2,246   2,244   2,241   2,239   2,237 2,236 2,234 2,229 2,225 2,222 2,220 2,218        2,216   2,214   2,213   2,213   2,212   2,206
 14   2,178   2,175   2,171   2,169   2,166   2,164   2,163 2,161 2,159 2,154 2,150 2,147 2,145 2,142        2,140   2,139   2,138   2,137   2,136   2,131
 15   2,114   2,111   2,108   2,105   2,102   2,100   2,098 2,097 2,095 2,089 2,085 2,083 2,081 2,078        2,076   2,074   2,073   2,072   2,072   2,066
                                                                              α = 0,01
  1   6340    6341    6343    6344    6346    6347    6348 6349 6350 6353 6355 6357 6358 6360                6361    6361    6362    6362    6363    6366
  2   99,49   99,49   99,49   99,49   99,49   99,49   99,49 99,49 99,49 99,50 99,50 99,50 99,50 99,50        99,50   99,50   99,50   99,50   99,50   99,50
  3   26,22   26,21   26,21   26,20   26,20   26,19   26,19 26,19 26,18 26,17 26,16 26,16 26,15 26,15        26,14   26,14   26,14   26,14   26,14   26,13
  4   13,56   13,55   13,55   13,54   13,53   13,53   13,53 13,52 13,52 13,51 13,50 13,50 13,49 13,49        13,48   13,48   13,48   13,48   13,47   13,46
  5   9,112   9,105   9,099   9,094   9,089   9,085   9,082 9,079 9,076 9,064 9,057 9,052 9,048 9,042        9,039   9,036   9,034   9,033   9,032   9,020
  6   6,970   6,963   6,957   6,952   6,947   6,943   6,940 6,937 6,934 6,923 6,916 6,911 6,907 6,901        6,898   6,895   6,894   6,892   6,891   6,880
  7   5,738   5,731   5,725   5,720   5,716   5,712   5,709 5,705 5,703 5,692 5,685 5,680 5,676 5,671        5,667   5,665   5,663   5,661   5,660   5,650
  8   4,947   4,940   4,934   4,929   4,925   4,921   4,918 4,914 4,912 4,901 4,894 4,889 4,885 4,880        4,876   4,874   4,872   4,871   4,869   4,859
  9   4,398   4,392   4,386   4,381   4,377   4,373   4,369 4,366 4,363 4,353 4,346 4,341 4,337 4,332        4,328   4,326   4,324   4,322   4,321   4,311
 10   3,997   3,990   3,985   3,980   3,975   3,971   3,968 3,965 3,962 3,951 3,944 3,939 3,936 3,930        3,927   3,924   3,922   3,921   3,920   3,909
 11   3,691   3,684   3,679   3,674   3,669   3,665   3,662 3,659 3,656 3,645 3,638 3,633 3,629 3,624        3,620   3,618   3,616   3,614   3,613   3,602
 12   3,450   3,443   3,437   3,432   3,428   3,424   3,421 3,417 3,415 3,404 3,397 3,392 3,388 3,382        3,379   3,376   3,374   3,373   3,372   3,361
 13   3,255   3,249   3,243   3,238   3,233   3,229   3,226 3,222 3,220 3,209 3,202 3,196 3,193 3,187        3,184   3,181   3,179   3,177   3,176   3,165
 14   3,095   3,088   3,082   3,077   3,072   3,068   3,065 3,062 3,059 3,048 3,041 3,035 3,031 3,026        3,022   3,020   3,018   3,016   3,015   3,004
 15   2,960   2,953   2,947   2,942   2,937   2,933   2,930 2,927 2,924 2,913 2,905 2,900 2,896 2,891        2,887   2,884   2,882   2,881   2,880   2,868