Теория статистического вывода - 66 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
44 4,062 3,209 2,816
2,584
2,427 2,313 2,226 2,157
2,101
2,054 2,014 1,980 1,950
1,924
1,900 1,879 1,861 1,844
1,828
1,814
49 4,038 3,187 2,794 2,561 2,404 2,290 2,203 2,134 2,077 2,030 1,990 1,956 1,926 1,899 1,876 1,855 1,836 1,819 1,803 1,789
54 4,020 3,168 2,776
2,543
2,386 2,272 2,185 2,115
2,059
2,011 1,971 1,936 1,906
1,879
1,856 1,835 1,816 1,798
1,782
1,768
59 4,004 3,153 2,761
2,528
2,371 2,257 2,169 2,100
2,043
1,995 1,955 1,920 1,890
1,863
1,839 1,818 1,799 1,781
1,766
1,751
64 3,991 3,140 2,748
2,515
2,358 2,244 2,156 2,087
2,030
1,982 1,942 1,907 1,876
1,849
1,826 1,804 1,785 1,767
1,751
1,737
69 3,980 3,130 2,737
2,505
2,348 2,233 2,145 2,076
2,019
1,971 1,930 1,895 1,865
1,838
1,814 1,792 1,773 1,755
1,739
1,725
74 3,970 3,120 2,728
2,495
2,338 2,224 2,136 2,066
2,009
1,961 1,921 1,885 1,855
1,828
1,804 1,782 1,763 1,745
1,729
1,714
79 3,962 3,112 2,720
2,487
2,330 2,216 2,128 2,058
2,001
1,953 1,912 1,877 1,846
1,819
1,795 1,773 1,754 1,736
1,720
1,705
84 3,955 3,105 2,713
2,480
2,323 2,209 2,121 2,051
1,993
1,945 1,905 1,869 1,838
1,811
1,787 1,765 1,746 1,728
1,712
1,697
89 3,948 3,099 2,707
2,474
2,317 2,202 2,114 2,044
1,987
1,939 1,898 1,863 1,832
1,804
1,780 1,758 1,739 1,721
1,705
1,690
99 3,937 3,088 2,696 2,464 2,306 2,192 2,103 2,033 1,976 1,928 1,887 1,851 1,820 1,793 1,769 1,747 1,727 1,709 1,693 1,678
109 3,928 3,080 2,688
2,455
2,298 2,183 2,095 2,024
1,967
1,919 1,878 1,842 1,811
1,784
1,759 1,737 1,717 1,699
1,683
1,668
119 3,921 3,072 2,681
2,448
2,290 2,176 2,087 2,017
1,959
1,911 1,870 1,834 1,803
1,776
1,751 1,729 1,709 1,691
1,675
1,659
129 3,915 3,066 2,675
2,442
2,284 2,170 2,081 2,011
1,953
1,905 1,864 1,828 1,797
1,769
1,745 1,722 1,703 1,684
1,668
1,652
139 3,909 3,061 2,670
2,437
2,279 2,164 2,076 2,006
1,948
1,899 1,858 1,822 1,791
1,764
1,739 1,717 1,697 1,679
1,662
1,647
149 3,905 3,057 2,665
2,432
2,275 2,160 2,072 2,001
1,943
1,895 1,853 1,818 1,786
1,759
1,734 1,712 1,692 1,673
1,657
1,641
α = 0,01
44 7,248 5,123 4,261
3,778
3,465 3,243 3,076 2,946
2,840
2,754 2,680 2,618 2,564
2,516
2,475 2,437 2,404 2,374
2,346
2,321
49 7,182 5,066 4,208 3,728 3,416 3,195 3,029 2,898 2,793 2,706 2,633 2,571 2,517 2,469 2,427 2,390 2,356 2,326 2,299 2,274
54 7,129 5,021 4,167
3,688
3,377 3,156 2,990 2,860
2,755
2,668 2,595 2,533 2,479
2,431
2,389 2,352 2,318 2,288
2,260
2,235
59 7,085 4,984 4,132
3,655
3,345 3,124 2,959 2,829
2,724
2,637 2,564 2,502 2,447
2,400
2,358 2,320 2,287 2,256
2,229
2,203
64 7,048 4,953 4,103
3,627
3,318 3,098 2,932 2,803
2,698
2,611 2,538 2,476 2,421
2,374
2,332 2,294 2,260 2,230
2,202
2,177
69 7,017 4,927 4,079
3,604
3,295 3,075 2,910 2,781
2,676
2,589 2,516 2,454 2,399
2,352
2,310 2,272 2,238 2,208
2,180
2,155
74 6,990 4,904 4,058
3,584
3,275 3,056 2,891 2,762
2,657
2,570 2,497 2,435 2,380
2,333
2,290 2,253 2,219 2,188
2,161
2,135
79 6,967 4,884 4,040
3,566
3,258 3,039 2,874 2,745
2,640
2,554 2,481 2,418 2,364
2,316
2,274 2,236 2,202 2,172
2,144
2,118
84 6,947 4,867 4,024
3,551
3,243 3,024 2,860 2,731
2,626
2,539 2,466 2,404 2,349
2,302
2,259 2,222 2,188 2,157
2,129
2,104
89 6,929 4,852 4,010
3,538
3,230 3,012 2,847 2,718
2,613
2,527 2,454 2,391 2,337
2,289
2,247 2,209 2,175 2,144
2,116
2,091
99 6,898 4,826 3,986 3,515 3,208 2,990 2,825 2,696 2,592 2,505 2,432 2,369 2,315 2,267 2,225 2,187 2,153 2,122 2,094 2,069
109 6,873 4,805 3,967
3,496
3,190 2,972 2,808 2,679
2,574
2,488 2,415 2,352 2,298
2,250
2,207 2,169 2,135 2,105
2,076
2,051
119 6,853 4,788 3,951
3,481
3,175 2,957 2,793 2,664
2,560
2,473 2,400 2,338 2,283
2,235
2,193 2,155 2,121 2,090
2,062
2,036
129 6,836 4,774 3,937
3,468
3,162 2,945 2,781 2,652
2,548
2,461 2,388 2,325 2,271
2,223
2,181 2,143 2,108 2,077
2,049
2,023
139 6,821 4,761 3,926
3,457
3,152 2,934 2,770 2,642
2,537
2,451 2,378 2,315 2,261
2,213
2,170 2,132 2,098 2,067
2,039
2,013
149 6,808 4,750 3,916
3,448
3,142 2,925 2,761 2,633
2,528
2,442 2,369 2,306 2,252
2,204
2,161 2,123 2,089 2,058
2,030
2,004
                                                         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
44    4,062   3,209   2,816   2,584   2,427   2,313   2,226 2,157 2,101 2,054 2,014 1,980 1,950 1,924        1,900   1,879   1,861   1,844   1,828   1,814
49    4,038   3,187   2,794   2,561   2,404   2,290   2,203 2,134 2,077 2,030 1,990 1,956 1,926 1,899        1,876   1,855   1,836   1,819   1,803   1,789
54    4,020   3,168   2,776   2,543   2,386   2,272   2,185 2,115 2,059 2,011 1,971 1,936 1,906 1,879        1,856   1,835   1,816   1,798   1,782   1,768
59    4,004   3,153   2,761   2,528   2,371   2,257   2,169 2,100 2,043 1,995 1,955 1,920 1,890 1,863        1,839   1,818   1,799   1,781   1,766   1,751
64    3,991   3,140   2,748   2,515   2,358   2,244   2,156 2,087 2,030 1,982 1,942 1,907 1,876 1,849        1,826   1,804   1,785   1,767   1,751   1,737
69    3,980   3,130   2,737   2,505   2,348   2,233   2,145 2,076 2,019 1,971 1,930 1,895 1,865 1,838        1,814   1,792   1,773   1,755   1,739   1,725
74    3,970   3,120   2,728   2,495   2,338   2,224   2,136 2,066 2,009 1,961 1,921 1,885 1,855 1,828        1,804   1,782   1,763   1,745   1,729   1,714
79    3,962   3,112   2,720   2,487   2,330   2,216   2,128 2,058 2,001 1,953 1,912 1,877 1,846 1,819        1,795   1,773   1,754   1,736   1,720   1,705
84    3,955   3,105   2,713   2,480   2,323   2,209   2,121 2,051 1,993 1,945 1,905 1,869 1,838 1,811        1,787   1,765   1,746   1,728   1,712   1,697
89    3,948   3,099   2,707   2,474   2,317   2,202   2,114 2,044 1,987 1,939 1,898 1,863 1,832 1,804        1,780   1,758   1,739   1,721   1,705   1,690
99    3,937   3,088   2,696   2,464   2,306   2,192   2,103 2,033 1,976 1,928 1,887 1,851 1,820 1,793        1,769   1,747   1,727   1,709   1,693   1,678
109   3,928   3,080   2,688   2,455   2,298   2,183   2,095 2,024 1,967 1,919 1,878 1,842 1,811 1,784        1,759   1,737   1,717   1,699   1,683   1,668
119   3,921   3,072   2,681   2,448   2,290   2,176   2,087 2,017 1,959 1,911 1,870 1,834 1,803 1,776        1,751   1,729   1,709   1,691   1,675   1,659
129   3,915   3,066   2,675   2,442   2,284   2,170   2,081 2,011 1,953 1,905 1,864 1,828 1,797 1,769        1,745   1,722   1,703   1,684   1,668   1,652
139   3,909   3,061   2,670   2,437   2,279   2,164   2,076 2,006 1,948 1,899 1,858 1,822 1,791 1,764        1,739   1,717   1,697   1,679   1,662   1,647
149   3,905   3,057   2,665   2,432   2,275   2,160   2,072 2,001 1,943 1,895 1,853 1,818 1,786 1,759        1,734   1,712   1,692   1,673   1,657   1,641
                                                                              α = 0,01
44    7,248   5,123   4,261   3,778   3,465   3,243   3,076 2,946 2,840 2,754 2,680 2,618 2,564 2,516        2,475   2,437   2,404   2,374   2,346   2,321
49    7,182   5,066   4,208   3,728   3,416   3,195   3,029 2,898 2,793 2,706 2,633 2,571 2,517 2,469        2,427   2,390   2,356   2,326   2,299   2,274
54    7,129   5,021   4,167   3,688   3,377   3,156   2,990 2,860 2,755 2,668 2,595 2,533 2,479 2,431        2,389   2,352   2,318   2,288   2,260   2,235
59    7,085   4,984   4,132   3,655   3,345   3,124   2,959 2,829 2,724 2,637 2,564 2,502 2,447 2,400        2,358   2,320   2,287   2,256   2,229   2,203
64    7,048   4,953   4,103   3,627   3,318   3,098   2,932 2,803 2,698 2,611 2,538 2,476 2,421 2,374        2,332   2,294   2,260   2,230   2,202   2,177
69    7,017   4,927   4,079   3,604   3,295   3,075   2,910 2,781 2,676 2,589 2,516 2,454 2,399 2,352        2,310   2,272   2,238   2,208   2,180   2,155
74    6,990   4,904   4,058   3,584   3,275   3,056   2,891 2,762 2,657 2,570 2,497 2,435 2,380 2,333        2,290   2,253   2,219   2,188   2,161   2,135
79    6,967   4,884   4,040   3,566   3,258   3,039   2,874 2,745 2,640 2,554 2,481 2,418 2,364 2,316        2,274   2,236   2,202   2,172   2,144   2,118
84    6,947   4,867   4,024   3,551   3,243   3,024   2,860 2,731 2,626 2,539 2,466 2,404 2,349 2,302        2,259   2,222   2,188   2,157   2,129   2,104
89    6,929   4,852   4,010   3,538   3,230   3,012   2,847 2,718 2,613 2,527 2,454 2,391 2,337 2,289        2,247   2,209   2,175   2,144   2,116   2,091
99    6,898   4,826   3,986   3,515   3,208   2,990   2,825 2,696 2,592 2,505 2,432 2,369 2,315 2,267        2,225   2,187   2,153   2,122   2,094   2,069
109   6,873   4,805   3,967   3,496   3,190   2,972   2,808 2,679 2,574 2,488 2,415 2,352 2,298 2,250        2,207   2,169   2,135   2,105   2,076   2,051
119   6,853   4,788   3,951   3,481   3,175   2,957   2,793 2,664 2,560 2,473 2,400 2,338 2,283 2,235        2,193   2,155   2,121   2,090   2,062   2,036
129   6,836   4,774   3,937   3,468   3,162   2,945   2,781 2,652 2,548 2,461 2,388 2,325 2,271 2,223        2,181   2,143   2,108   2,077   2,049   2,023
139   6,821   4,761   3,926   3,457   3,152   2,934   2,770 2,642 2,537 2,451 2,378 2,315 2,261 2,213        2,170   2,132   2,098   2,067   2,039   2,013
149   6,808   4,750   3,916   3,448   3,142   2,925   2,761 2,633 2,528 2,442 2,369 2,306 2,252 2,204        2,161   2,123   2,089   2,058   2,030   2,004