Теория статистического вывода - 67 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
159 3,901 3,053 2,661
2,429
2,271 2,156 2,068 1,997
1,939
1,891 1,849 1,814 1,782
1,754
1,730 1,707 1,687 1,669
1,652
1,637
169 3,897 3,049 2,658
2,425
2,268 2,153 2,064 1,994
1,936
1,887 1,846 1,810 1,778
1,751
1,726 1,704 1,684 1,665
1,648
1,633
179 3,894 3,046 2,655
2,422
2,265 2,150 2,061 1,990
1,932
1,884 1,842 1,807 1,775
1,747
1,723 1,700 1,680 1,662
1,645
1,630
189 3,891 3,044 2,652
2,419
2,262 2,147 2,058 1,988
1,930
1,881 1,840 1,804 1,772
1,744
1,720 1,697 1,677 1,659
1,642
1,626
199 3,889 3,041 2,650 2,417 2,259 2,144 2,056 1,985 1,927 1,879 1,837 1,801 1,770 1,742 1,717 1,695 1,674 1,656 1,639 1,624
249 3,879 3,032 2,641
2,408
2,250 2,135 2,046 1,976
1,918
1,869 1,827 1,791 1,760
1,732
1,707 1,684 1,664 1,645
1,628
1,613
299 3,873 3,026 2,635
2,402
2,244 2,129 2,040 1,969
1,911
1,862 1,821 1,785 1,753
1,725
1,700 1,677 1,657 1,638
1,621
1,606
349 3,868 3,022 2,630
2,398
2,240 2,125 2,036 1,965
1,907
1,858 1,816 1,780 1,748
1,720
1,695 1,673 1,652 1,633
1,616
1,601
399 3,865 3,018 2,627
2,394
2,237 2,121 2,033 1,962
1,903
1,854 1,813 1,776 1,745
1,717
1,692 1,669 1,648 1,630
1,613
1,597
499 3,860 3,014 2,623 2,390 2,232 2,117 2,028 1,957 1,899 1,850 1,808 1,772 1,740 1,712 1,686 1,664 1,643 1,625 1,607 1,592
599 3,857 3,011 2,620
2,387
2,229 2,114 2,025 1,954
1,895
1,846 1,805 1,768 1,737
1,708
1,683 1,660 1,640 1,621
1,604
1,588
699 3,855 3,009 2,618
2,385
2,227 2,112 2,023 1,952
1,893
1,844 1,802 1,766 1,734
1,706
1,681 1,658 1,637 1,619
1,601
1,586
799 3,853 3,007 2,616
2,383
2,225 2,110 2,021 1,950
1,892
1,843 1,801 1,764 1,732
1,704
1,679 1,656 1,636 1,617
1,600
1,584
899 3,852 3,006 2,615
2,382
2,224 2,109 2,020 1,949
1,890
1,841 1,799 1,763 1,731
1,703
1,678 1,655 1,634 1,615
1,598
1,582
999 3,851 3,005 2,614
2,381
2,223 2,108 2,019 1,948
1,889
1,840 1,798 1,762 1,730
1,702
1,676 1,654 1,633 1,614
1,597
1,581
3,841 2,996 2,605 2,372 2,214 2,099 2,010 1,938 1,880 1,831 1,789 1,752 1,720 1,692 1,666 1,644 1,623 1,604 1,587 1,571
α = 0,01
159 6,797 4,741 3,907
3,439
3,134 2,917 2,754 2,625
2,521
2,434 2,361 2,298 2,244
2,196
2,153 2,115 2,081 2,050
2,022
1,996
169 6,787 4,733 3,900
3,432
3,127 2,910 2,747 2,618
2,514
2,427 2,354 2,292 2,237
2,189
2,146 2,108 2,074 2,043
2,015
1,989
179 6,779 4,726 3,893
3,426
3,121 2,904 2,741 2,612
2,508
2,421 2,348 2,285 2,231
2,183
2,140 2,102 2,068 2,037
2,008
1,982
189 6,771 4,719 3,887
3,420
3,115 2,899 2,735 2,607
2,502
2,416 2,343 2,280 2,225
2,177
2,135 2,097 2,062 2,031
2,003
1,977
199 6,764 4,713 3,882 3,415 3,110 2,894 2,730 2,602 2,498 2,411 2,338 2,275 2,221 2,173 2,130 2,092 2,057 2,026 1,998 1,972
249 6,738 4,691 3,861
3,395
3,091 2,875 2,712 2,583
2,479
2,393 2,320 2,257 2,202
2,154
2,111 2,073 2,039 2,007
1,979
1,953
299 6,720 4,677 3,848
3,382
3,079 2,863 2,699 2,571
2,467
2,381 2,307 2,245 2,190
2,142
2,099 2,061 2,026 1,995
1,966
1,940
349 6,708 4,667 3,838
3,373
3,070 2,854 2,691 2,562
2,458
2,372 2,299 2,236 2,181
2,133
2,090 2,052 2,017 1,986
1,958
1,931
399 6,699 4,659 3,831
3,366
3,063 2,847 2,684 2,556
2,452
2,366 2,292 2,229 2,175
2,127
2,084 2,045 2,011 1,979
1,951
1,925
499 6,686 4,648 3,821 3,357 3,054 2,838 2,675 2,547 2,443 2,357 2,283 2,220 2,166 2,117 2,075 2,036 2,002 1,970 1,942 1,915
599 6,677 4,641 3,814
3,351
3,048 2,832 2,669 2,541
2,437
2,351 2,277 2,214 2,160
2,111
2,069 2,030 1,996 1,964
1,935
1,909
699 6,671 4,636 3,810
3,346
3,043 2,828 2,665 2,537
2,433
2,346 2,273 2,210 2,155
2,107
2,064 2,026 1,991 1,960
1,931
1,905
799 6,667 4,632 3,806
3,343
3,040 2,825 2,662 2,534
2,430
2,343 2,270 2,207 2,152
2,104
2,061 2,023 1,988 1,956
1,928
1,901
899 6,663 4,629 3,803
3,340
3,038 2,822 2,659 2,531
2,427
2,341 2,267 2,205 2,150
2,101
2,059 2,020 1,985 1,954
1,925
1,899
999 6,660 4,626 3,801
3,338
3,036 2,820 2,657 2,529
2,425
2,339 2,265 2,203 2,148
2,099
2,057 2,018 1,983 1,952
1,923
1,897
6,635 4,605 3,782 3,319 3,017 2,802 2,639 2,511 2,407 2,321 2,248 2,185 2,130 2,082 2,039 2,000 1,965 1,934 1,905 1,878
                                                         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
159   3,901   3,053   2,661   2,429   2,271   2,156   2,068 1,997 1,939 1,891 1,849 1,814 1,782 1,754        1,730   1,707   1,687   1,669   1,652   1,637
169   3,897   3,049   2,658   2,425   2,268   2,153   2,064 1,994 1,936 1,887 1,846 1,810 1,778 1,751        1,726   1,704   1,684   1,665   1,648   1,633
179   3,894   3,046   2,655   2,422   2,265   2,150   2,061 1,990 1,932 1,884 1,842 1,807 1,775 1,747        1,723   1,700   1,680   1,662   1,645   1,630
189   3,891   3,044   2,652   2,419   2,262   2,147   2,058 1,988 1,930 1,881 1,840 1,804 1,772 1,744        1,720   1,697   1,677   1,659   1,642   1,626
199   3,889   3,041   2,650   2,417   2,259   2,144   2,056 1,985 1,927 1,879 1,837 1,801 1,770 1,742        1,717   1,695   1,674   1,656   1,639   1,624
249   3,879   3,032   2,641   2,408   2,250   2,135   2,046 1,976 1,918 1,869 1,827 1,791 1,760 1,732        1,707   1,684   1,664   1,645   1,628   1,613
299   3,873   3,026   2,635   2,402   2,244   2,129   2,040 1,969 1,911 1,862 1,821 1,785 1,753 1,725        1,700   1,677   1,657   1,638   1,621   1,606
349   3,868   3,022   2,630   2,398   2,240   2,125   2,036 1,965 1,907 1,858 1,816 1,780 1,748 1,720        1,695   1,673   1,652   1,633   1,616   1,601
399   3,865   3,018   2,627   2,394   2,237   2,121   2,033 1,962 1,903 1,854 1,813 1,776 1,745 1,717        1,692   1,669   1,648   1,630   1,613   1,597
499   3,860   3,014   2,623   2,390   2,232   2,117   2,028 1,957 1,899 1,850 1,808 1,772 1,740 1,712        1,686   1,664   1,643   1,625   1,607   1,592
599   3,857   3,011   2,620   2,387   2,229   2,114   2,025 1,954 1,895 1,846 1,805 1,768 1,737 1,708        1,683   1,660   1,640   1,621   1,604   1,588
699   3,855   3,009   2,618   2,385   2,227   2,112   2,023 1,952 1,893 1,844 1,802 1,766 1,734 1,706        1,681   1,658   1,637   1,619   1,601   1,586
799   3,853   3,007   2,616   2,383   2,225   2,110   2,021 1,950 1,892 1,843 1,801 1,764 1,732 1,704        1,679   1,656   1,636   1,617   1,600   1,584
899   3,852   3,006   2,615   2,382   2,224   2,109   2,020 1,949 1,890 1,841 1,799 1,763 1,731 1,703        1,678   1,655   1,634   1,615   1,598   1,582
999   3,851   3,005   2,614   2,381   2,223   2,108   2,019 1,948 1,889 1,840 1,798 1,762 1,730 1,702        1,676   1,654   1,633   1,614   1,597   1,581
 ∞    3,841   2,996   2,605   2,372   2,214   2,099   2,010 1,938 1,880 1,831 1,789 1,752 1,720 1,692        1,666   1,644   1,623   1,604   1,587   1,571
                                                                              α = 0,01
159   6,797   4,741   3,907   3,439   3,134   2,917   2,754 2,625 2,521 2,434 2,361 2,298 2,244 2,196        2,153   2,115   2,081   2,050   2,022   1,996
169   6,787   4,733   3,900   3,432   3,127   2,910   2,747 2,618 2,514 2,427 2,354 2,292 2,237 2,189        2,146   2,108   2,074   2,043   2,015   1,989
179   6,779   4,726   3,893   3,426   3,121   2,904   2,741 2,612 2,508 2,421 2,348 2,285 2,231 2,183        2,140   2,102   2,068   2,037   2,008   1,982
189   6,771   4,719   3,887   3,420   3,115   2,899   2,735 2,607 2,502 2,416 2,343 2,280 2,225 2,177        2,135   2,097   2,062   2,031   2,003   1,977
199   6,764   4,713   3,882   3,415   3,110   2,894   2,730 2,602 2,498 2,411 2,338 2,275 2,221 2,173        2,130   2,092   2,057   2,026   1,998   1,972
249   6,738   4,691   3,861   3,395   3,091   2,875   2,712 2,583 2,479 2,393 2,320 2,257 2,202 2,154        2,111   2,073   2,039   2,007   1,979   1,953
299   6,720   4,677   3,848   3,382   3,079   2,863   2,699 2,571 2,467 2,381 2,307 2,245 2,190 2,142        2,099   2,061   2,026   1,995   1,966   1,940
349   6,708   4,667   3,838   3,373   3,070   2,854   2,691 2,562 2,458 2,372 2,299 2,236 2,181 2,133        2,090   2,052   2,017   1,986   1,958   1,931
399   6,699   4,659   3,831   3,366   3,063   2,847   2,684 2,556 2,452 2,366 2,292 2,229 2,175 2,127        2,084   2,045   2,011   1,979   1,951   1,925
499   6,686   4,648   3,821   3,357   3,054   2,838   2,675 2,547 2,443 2,357 2,283 2,220 2,166 2,117        2,075   2,036   2,002   1,970   1,942   1,915
599   6,677   4,641   3,814   3,351   3,048   2,832   2,669 2,541 2,437 2,351 2,277 2,214 2,160 2,111        2,069   2,030   1,996   1,964   1,935   1,909
699   6,671   4,636   3,810   3,346   3,043   2,828   2,665 2,537 2,433 2,346 2,273 2,210 2,155 2,107        2,064   2,026   1,991   1,960   1,931   1,905
799   6,667   4,632   3,806   3,343   3,040   2,825   2,662 2,534 2,430 2,343 2,270 2,207 2,152 2,104        2,061   2,023   1,988   1,956   1,928   1,901
899   6,663   4,629   3,803   3,340   3,038   2,822   2,659 2,531 2,427 2,341 2,267 2,205 2,150 2,101        2,059   2,020   1,985   1,954   1,925   1,899
999   6,660   4,626   3,801   3,338   3,036   2,820   2,657 2,529 2,425 2,339 2,265 2,203 2,148 2,099        2,057   2,018   1,983   1,952   1,923   1,897
 ∞    6,635   4,605   3,782   3,319   3,017   2,802   2,639 2,511 2,407 2,321 2,248 2,185 2,130 2,082        2,039   2,000   1,965   1,934   1,905   1,878