Теория статистического вывода - 69 стр.

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Число степеней свободы для бóльшей дисперсии df
1
df
2
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
α = 0,05
16 2,264 2,254 2,244
2,235
2,227 2,220 2,212 2,206
2,200
2,194 2,188 2,183 2,178
2,174
2,169 2,165 2,161 2,158
2,154
2,151
17 2,219 2,208 2,199
2,190
2,181 2,174 2,167 2,160
2,154
2,148 2,142 2,137 2,132
2,127
2,123 2,119 2,115 2,111
2,107
2,104
18 2,179 2,168 2,159
2,150
2,141 2,134 2,126 2,119
2,113
2,107 2,102 2,096 2,091
2,087
2,082 2,078 2,074 2,070
2,066
2,063
19 2,144 2,133 2,123 2,114 2,106 2,098 2,090 2,084 2,077 2,071 2,066 2,060 2,055 2,050 2,046 2,042 2,037 2,034 2,030 2,026
20 2,112 2,102 2,092
2,082
2,074 2,066 2,059 2,052
2,045
2,039 2,033 2,028 2,023
2,018
2,013 2,009 2,005 2,001
1,997
1,994
21 2,084 2,073 2,063
2,054
2,045 2,037 2,030 2,023
2,016
2,010 2,004 1,999 1,994
1,989
1,984 1,980 1,976 1,972
1,968
1,965
22 2,059 2,048 2,038
2,028
2,020 2,012 2,004 1,997
1,990
1,984 1,978 1,973 1,968
1,963
1,958 1,954 1,949 1,945
1,942
1,938
23 2,036 2,025 2,014
2,005
1,996 1,988 1,981 1,973
1,967
1,961 1,955 1,949 1,944
1,939
1,934 1,930 1,925 1,921
1,918
1,914
24 2,015 2,003 1,993
1,984
1,975 1,967 1,959 1,952
1,945
1,939 1,933 1,927 1,922
1,917
1,912 1,908 1,904 1,900
1,896
1,892
25 1,995 1,984 1,974
1,964
1,955 1,947 1,939 1,932
1,926
1,919 1,913 1,908 1,902
1,897
1,892 1,888 1,884 1,879
1,876
1,872
26 1,978 1,966 1,956
1,946
1,938 1,929 1,921 1,914
1,907
1,901 1,895 1,889 1,884
1,879
1,874 1,869 1,865 1,861
1,857
1,853
27 1,961 1,950 1,940
1,930
1,921 1,913 1,905 1,898
1,891
1,884 1,878 1,872 1,867
1,862
1,857 1,852 1,848 1,844
1,840
1,836
28 1,946 1,935 1,924
1,915
1,906 1,897 1,889 1,882
1,875
1,869 1,863 1,857 1,851
1,846
1,841 1,837 1,832 1,828
1,824
1,820
29 1,932 1,921 1,910 1,901 1,891 1,883 1,875 1,868 1,861 1,854 1,848 1,842 1,837 1,832 1,827 1,822 1,818 1,813 1,809 1,806
34 1,875 1,863 1,853
1,843
1,833 1,825 1,817 1,809
1,802
1,795 1,789 1,783 1,777
1,772
1,767 1,762 1,758 1,753
1,749
1,745
39 1,833 1,821 1,810
1,800
1,791 1,782 1,774 1,766
1,759
1,752 1,745 1,739 1,733
1,728
1,723 1,718 1,713 1,709
1,704
1,700
α = 0,01
16 3,237 3,216 3,198
3,181
3,165 3,150 3,137 3,124
3,112
3,101 3,090 3,080 3,071
3,062
3,054 3,046 3,039 3,031
3,025
3,018
17 3,139 3,119 3,101
3,083
3,068 3,053 3,039 3,026
3,014
3,003 2,993 2,983 2,973
2,965
2,956 2,948 2,941 2,934
2,927
2,920
18 3,055 3,035 3,016
2,999
2,983 2,968 2,955 2,942
2,930
2,919 2,908 2,898 2,889
2,880
2,871 2,863 2,856 2,849
2,842
2,835
19 2,981 2,961 2,942 2,925 2,909 2,894 2,880 2,868 2,855 2,844 2,834 2,824 2,814 2,805 2,797 2,789 2,781 2,774 2,767 2,761
20 2,916 2,895 2,877
2,859
2,843 2,829 2,815 2,802
2,790
2,778 2,768 2,758 2,748
2,739
2,731 2,723 2,715 2,708
2,701
2,695
21 2,857 2,837 2,818
2,801
2,785 2,770 2,756 2,743
2,731
2,720 2,709 2,699 2,690
2,681
2,672 2,664 2,657 2,649
2,642
2,636
22 2,805 2,785 2,766
2,749
2,733 2,718 2,704 2,691
2,679
2,667 2,657 2,647 2,637
2,628
2,620 2,612 2,604 2,597
2,590
2,583
23 2,758 2,738 2,719
2,702
2,686 2,671 2,657 2,644
2,632
2,620 2,609 2,599 2,590
2,581
2,572 2,564 2,556 2,549
2,542
2,536
24 2,716 2,695 2,676
2,659
2,643 2,628 2,614 2,601
2,589
2,577 2,567 2,556 2,547
2,538
2,529 2,521 2,513 2,506
2,499
2,492
25 2,677 2,657 2,638
2,620
2,604 2,589 2,575 2,562
2,550
2,538 2,527 2,517 2,508
2,499
2,490 2,482 2,474 2,467
2,460
2,453
26 2,642 2,621 2,602
2,585
2,569 2,554 2,540 2,526
2,514
2,503 2,492 2,482 2,472
2,463
2,454 2,446 2,438 2,431
2,424
2,417
27 2,609 2,589 2,570
2,552
2,536 2,521 2,507 2,494
2,481
2,470 2,459 2,449 2,439
2,430
2,421 2,413 2,405 2,398
2,391
2,384
28 2,579 2,559 2,540
2,522
2,506 2,491 2,477 2,464
2,451
2,440 2,429 2,419 2,409
2,400
2,391 2,383 2,375 2,367
2,360
2,354
29 2,552 2,531 2,512 2,495 2,478 2,463 2,449 2,436 2,423 2,412 2,401 2,391 2,381 2,372 2,363 2,355 2,347 2,339 2,332 2,325
34 2,440 2,420 2,400
2,383
2,366 2,351 2,337 2,323
2,311
2,299 2,288 2,277 2,268
2,258
2,249 2,241 2,233 2,225
2,218
2,211
39 2,360 2,339 2,319
2,302
2,285 2,270 2,255 2,242
2,229
2,217 2,206 2,195 2,185
2,176
2,167 2,158 2,150 2,143
2,135
2,128
                                                         Число степеней свободы для бóльшей дисперсии df1
df2
       21      22      23      24      25      26       27    28     29      30      31  32      33     34    35      36      37      38      39      40
                                                                              α = 0,05
16    2,264   2,254   2,244   2,235   2,227   2,220   2,212 2,206 2,200 2,194 2,188 2,183 2,178 2,174        2,169   2,165   2,161   2,158   2,154   2,151
17    2,219   2,208   2,199   2,190   2,181   2,174   2,167 2,160 2,154 2,148 2,142 2,137 2,132 2,127        2,123   2,119   2,115   2,111   2,107   2,104
18    2,179   2,168   2,159   2,150   2,141   2,134   2,126 2,119 2,113 2,107 2,102 2,096 2,091 2,087        2,082   2,078   2,074   2,070   2,066   2,063
19    2,144   2,133   2,123   2,114   2,106   2,098   2,090 2,084 2,077 2,071 2,066 2,060 2,055 2,050        2,046   2,042   2,037   2,034   2,030   2,026
20    2,112   2,102   2,092   2,082   2,074   2,066   2,059 2,052 2,045 2,039 2,033 2,028 2,023 2,018        2,013   2,009   2,005   2,001   1,997   1,994
21    2,084   2,073   2,063   2,054   2,045   2,037   2,030 2,023 2,016 2,010 2,004 1,999 1,994 1,989        1,984   1,980   1,976   1,972   1,968   1,965
22    2,059   2,048   2,038   2,028   2,020   2,012   2,004 1,997 1,990 1,984 1,978 1,973 1,968 1,963        1,958   1,954   1,949   1,945   1,942   1,938
23    2,036   2,025   2,014   2,005   1,996   1,988   1,981 1,973 1,967 1,961 1,955 1,949 1,944 1,939        1,934   1,930   1,925   1,921   1,918   1,914
24    2,015   2,003   1,993   1,984   1,975   1,967   1,959 1,952 1,945 1,939 1,933 1,927 1,922 1,917        1,912   1,908   1,904   1,900   1,896   1,892
25    1,995   1,984   1,974   1,964   1,955   1,947   1,939 1,932 1,926 1,919 1,913 1,908 1,902 1,897        1,892   1,888   1,884   1,879   1,876   1,872
26    1,978   1,966   1,956   1,946   1,938   1,929   1,921 1,914 1,907 1,901 1,895 1,889 1,884 1,879        1,874   1,869   1,865   1,861   1,857   1,853
27    1,961   1,950   1,940   1,930   1,921   1,913   1,905 1,898 1,891 1,884 1,878 1,872 1,867 1,862        1,857   1,852   1,848   1,844   1,840   1,836
28    1,946   1,935   1,924   1,915   1,906   1,897   1,889 1,882 1,875 1,869 1,863 1,857 1,851 1,846        1,841   1,837   1,832   1,828   1,824   1,820
29    1,932   1,921   1,910   1,901   1,891   1,883   1,875 1,868 1,861 1,854 1,848 1,842 1,837 1,832        1,827   1,822   1,818   1,813   1,809   1,806
34    1,875   1,863   1,853   1,843   1,833   1,825   1,817 1,809 1,802 1,795 1,789 1,783 1,777 1,772        1,767   1,762   1,758   1,753   1,749   1,745
39    1,833   1,821   1,810   1,800   1,791   1,782   1,774 1,766 1,759 1,752 1,745 1,739 1,733 1,728        1,723   1,718   1,713   1,709   1,704   1,700
                                                                              α = 0,01
16    3,237   3,216   3,198   3,181   3,165   3,150   3,137 3,124 3,112 3,101 3,090 3,080 3,071 3,062        3,054   3,046   3,039   3,031   3,025   3,018
17    3,139   3,119   3,101   3,083   3,068   3,053   3,039 3,026 3,014 3,003 2,993 2,983 2,973 2,965        2,956   2,948   2,941   2,934   2,927   2,920
18    3,055   3,035   3,016   2,999   2,983   2,968   2,955 2,942 2,930 2,919 2,908 2,898 2,889 2,880        2,871   2,863   2,856   2,849   2,842   2,835
19    2,981   2,961   2,942   2,925   2,909   2,894   2,880 2,868 2,855 2,844 2,834 2,824 2,814 2,805        2,797   2,789   2,781   2,774   2,767   2,761
20    2,916   2,895   2,877   2,859   2,843   2,829   2,815 2,802 2,790 2,778 2,768 2,758 2,748 2,739        2,731   2,723   2,715   2,708   2,701   2,695
21    2,857   2,837   2,818   2,801   2,785   2,770   2,756 2,743 2,731 2,720 2,709 2,699 2,690 2,681        2,672   2,664   2,657   2,649   2,642   2,636
22    2,805   2,785   2,766   2,749   2,733   2,718   2,704 2,691 2,679 2,667 2,657 2,647 2,637 2,628        2,620   2,612   2,604   2,597   2,590   2,583
23    2,758   2,738   2,719   2,702   2,686   2,671   2,657 2,644 2,632 2,620 2,609 2,599 2,590 2,581        2,572   2,564   2,556   2,549   2,542   2,536
24    2,716   2,695   2,676   2,659   2,643   2,628   2,614 2,601 2,589 2,577 2,567 2,556 2,547 2,538        2,529   2,521   2,513   2,506   2,499   2,492
25    2,677   2,657   2,638   2,620   2,604   2,589   2,575 2,562 2,550 2,538 2,527 2,517 2,508 2,499        2,490   2,482   2,474   2,467   2,460   2,453
26    2,642   2,621   2,602   2,585   2,569   2,554   2,540 2,526 2,514 2,503 2,492 2,482 2,472 2,463        2,454   2,446   2,438   2,431   2,424   2,417
27    2,609   2,589   2,570   2,552   2,536   2,521   2,507 2,494 2,481 2,470 2,459 2,449 2,439 2,430        2,421   2,413   2,405   2,398   2,391   2,384
28    2,579   2,559   2,540   2,522   2,506   2,491   2,477 2,464 2,451 2,440 2,429 2,419 2,409 2,400        2,391   2,383   2,375   2,367   2,360   2,354
29    2,552   2,531   2,512   2,495   2,478   2,463   2,449 2,436 2,423 2,412 2,401 2,391 2,381 2,372        2,363   2,355   2,347   2,339   2,332   2,325
34    2,440   2,420   2,400   2,383   2,366   2,351   2,337 2,323 2,311 2,299 2,288 2,277 2,268 2,258        2,249   2,241   2,233   2,225   2,218   2,211
39    2,360   2,339   2,319   2,302   2,285   2,270   2,255 2,242 2,229 2,217 2,206 2,195 2,185 2,176        2,167   2,158   2,150   2,143   2,135   2,128