Теория статистического вывода - 73 стр.

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Число степеней свободы для бóльшей дисперсии df
1
df
2
41 42 43 44 45 46 47 48 49 54 59 64 69 74 79 84 89 94 99 109
α = 0,05
16 2,147 2,144 2,141
2,139
2,136 2,133 2,131 2,128
2,126
2,116 2,107 2,100 2,094
2,088
2,084 2,079 2,075 2,072
2,069
2,064
19 2,023 2,020 2,017 2,014 2,011 2,008 2,006 2,003 2,001 1,990 1,981 1,974 1,967 1,961 1,956 1,952 1,948 1,944 1,941 1,935
24 1,888 1,885 1,882
1,879
1,876 1,873 1,870 1,868
1,865
1,854 1,844 1,836 1,829
1,823
1,817 1,813 1,808 1,805
1,801
1,795
29 1,802 1,798 1,795 1,792 1,789 1,786 1,783 1,780 1,777 1,766 1,756 1,747 1,740 1,733 1,727 1,722 1,718 1,714 1,710 1,704
39
1,696 1,693 1,689 1,686 1,682 1,679 1,676 1,673 1,670 1,658 1,647 1,638 1,630 1,623 1,617 1,611 1,607 1,602 1,598 1,591
49 1,634 1,631 1,627 1,623 1,620 1,616 1,613 1,610 1,607 1,594 1,583 1,573 1,565 1,557 1,551 1,545 1,540 1,535 1,531 1,524
59 1,593 1,589 1,586
1,582
1,578 1,575 1,572 1,568
1,565
1,552 1,540 1,530 1,521
1,514
1,507 1,501 1,495 1,490
1,486
1,478
69 1,564 1,560 1,556
1,552
1,549 1,545 1,542 1,539
1,536
1,521 1,509 1,499 1,490
1,482
1,475 1,469 1,463 1,458
1,453
1,445
79 1,542 1,538 1,534
1,530
1,527 1,523 1,520 1,516
1,513
1,499 1,486 1,476 1,467
1,458
1,451 1,445 1,439 1,434
1,429
1,421
89 1,525 1,521 1,517
1,513
1,509 1,506 1,502 1,499
1,496
1,481 1,468 1,458 1,448
1,440
1,432 1,426 1,420 1,415
1,410
1,401
99 1,512 1,508 1,503 1,499 1,496 1,492 1,488 1,485 1,482 1,467 1,454 1,443 1,433 1,425 1,417 1,411 1,405 1,399 1,394 1,385
109 1,501 1,496 1,492
1,488
1,484 1,481 1,477 1,474
1,470
1,455 1,442 1,431 1,421
1,413
1,405 1,398 1,392 1,386
1,381
1,372
119 1,491 1,487 1,483
1,479
1,475 1,471 1,468 1,464
1,461
1,445 1,432 1,421 1,411
1,402
1,395 1,388 1,381 1,376
1,370
1,361
129 1,484 1,479 1,475
1,471
1,467 1,463 1,459 1,456
1,453
1,437 1,424 1,412 1,402
1,394
1,386 1,379 1,372 1,367
1,361
1,352
139 1,477 1,472 1,468
1,464
1,460 1,456 1,453 1,449
1,446
1,430 1,417 1,405 1,395
1,386
1,378 1,371 1,365 1,359
1,353
1,344
149 1,471 1,467 1,462
1,458
1,454 1,450 1,447 1,443
1,440
1,424 1,410 1,399 1,389
1,380
1,372 1,364 1,358 1,352
1,347
1,337
α = 0,01
16 3,012 3,006 3,001
2,995
2,990 2,985 2,981 2,976
2,972
2,952 2,936 2,922 2,910
2,900
2,891 2,883 2,876 2,870
2,864
2,854
19 2,755 2,749 2,743 2,738 2,732 2,727 2,723 2,718 2,714 2,694 2,677 2,663 2,651 2,641 2,631 2,623 2,616 2,609 2,603 2,593
24 2,486 2,480 2,474
2,468
2,463 2,458 2,453 2,448
2,444
2,424 2,407 2,392 2,380
2,369
2,359 2,351 2,343 2,336
2,330
2,320
29 2,319 2,313 2,307 2,301 2,296 2,290 2,285 2,280 2,276 2,255 2,238 2,223 2,210 2,199 2,189 2,180 2,172 2,165 2,159 2,148
39
2,121 2,115 2,109 2,103 2,097 2,092 2,087 2,082 2,077 2,055 2,037 2,021 2,008 1,996 1,986 1,977 1,968 1,961 1,954 1,943
49 2,008 2,002 1,996 1,989 1,984 1,978 1,973 1,968 1,963 1,940 1,921 1,905 1,891 1,879 1,868 1,859 1,850 1,842 1,835 1,823
59 1,935 1,928 1,922
1,916
1,910 1,904 1,899 1,893
1,888
1,865 1,846 1,829 1,815
1,802
1,791 1,781 1,772 1,764
1,757
1,744
69 1,883 1,876 1,870
1,864
1,858 1,852 1,846 1,841
1,836
1,812 1,793 1,776 1,761
1,748
1,737 1,726 1,717 1,709
1,702
1,688
79 1,845 1,838 1,831
1,825
1,819 1,813 1,807 1,802
1,797
1,773 1,753 1,736 1,721
1,707
1,696 1,685 1,676 1,668
1,660
1,646
89 1,815 1,808 1,802
1,795
1,789 1,783 1,777 1,772
1,767
1,743 1,722 1,705 1,689
1,676
1,664 1,653 1,644 1,635
1,627
1,614
99 1,792 1,785 1,778 1,772 1,765 1,759 1,754 1,748 1,743 1,718 1,698 1,680 1,664 1,651 1,639 1,628 1,618 1,609 1,601 1,588
109 1,773 1,766 1,759
1,752
1,746 1,740 1,734 1,728
1,723
1,699 1,678 1,660 1,644
1,630
1,618 1,607 1,597 1,588
1,580
1,566
119 1,757 1,750 1,743
1,736
1,730 1,724 1,718 1,712
1,707
1,682 1,661 1,643 1,627
1,613
1,601 1,590 1,580 1,571
1,562
1,548
129 1,743 1,736 1,729
1,723
1,716 1,710 1,704 1,699
1,693
1,668 1,647 1,629 1,613
1,599
1,586 1,575 1,565 1,556
1,547
1,533
139 1,732 1,725 1,718
1,711
1,705 1,698 1,693 1,687
1,681
1,656 1,635 1,616 1,600
1,586
1,573 1,562 1,552 1,543
1,534
1,520
149 1,722 1,715 1,708
1,701
1,695 1,688 1,682 1,677
1,671
1,646 1,624 1,606 1,590
1,575
1,563 1,551 1,541 1,532
1,523
1,508
                                                         Число степеней свободы для бóльшей дисперсии df1
df2
       41      42      43      44      45      46       47    48     49      54      59  64      69     74    79      84      89      94      99     109
                                                                              α = 0,05
16    2,147   2,144   2,141   2,139   2,136   2,133   2,131 2,128 2,126 2,116 2,107 2,100 2,094 2,088        2,084   2,079   2,075   2,072   2,069   2,064
19    2,023   2,020   2,017   2,014   2,011   2,008   2,006 2,003 2,001 1,990 1,981 1,974 1,967 1,961        1,956   1,952   1,948   1,944   1,941   1,935
24    1,888   1,885   1,882   1,879   1,876   1,873   1,870 1,868 1,865 1,854 1,844 1,836 1,829 1,823        1,817   1,813   1,808   1,805   1,801   1,795
29    1,802   1,798   1,795   1,792   1,789   1,786   1,783 1,780 1,777 1,766 1,756 1,747 1,740 1,733        1,727   1,722   1,718   1,714   1,710   1,704
39    1,696   1,693   1,689   1,686   1,682   1,679   1,676 1,673 1,670 1,658 1,647 1,638 1,630 1,623        1,617   1,611   1,607   1,602   1,598   1,591
49    1,634   1,631   1,627   1,623   1,620   1,616   1,613 1,610 1,607 1,594 1,583 1,573 1,565 1,557        1,551   1,545   1,540   1,535   1,531   1,524
59    1,593   1,589   1,586   1,582   1,578   1,575   1,572 1,568 1,565 1,552 1,540 1,530 1,521 1,514        1,507   1,501   1,495   1,490   1,486   1,478
69    1,564   1,560   1,556   1,552   1,549   1,545   1,542 1,539 1,536 1,521 1,509 1,499 1,490 1,482        1,475   1,469   1,463   1,458   1,453   1,445
79    1,542   1,538   1,534   1,530   1,527   1,523   1,520 1,516 1,513 1,499 1,486 1,476 1,467 1,458        1,451   1,445   1,439   1,434   1,429   1,421
89    1,525   1,521   1,517   1,513   1,509   1,506   1,502 1,499 1,496 1,481 1,468 1,458 1,448 1,440        1,432   1,426   1,420   1,415   1,410   1,401
99    1,512   1,508   1,503   1,499   1,496   1,492   1,488 1,485 1,482 1,467 1,454 1,443 1,433 1,425        1,417   1,411   1,405   1,399   1,394   1,385
109   1,501   1,496   1,492   1,488   1,484   1,481   1,477 1,474 1,470 1,455 1,442 1,431 1,421 1,413        1,405   1,398   1,392   1,386   1,381   1,372
119   1,491   1,487   1,483   1,479   1,475   1,471   1,468 1,464 1,461 1,445 1,432 1,421 1,411 1,402        1,395   1,388   1,381   1,376   1,370   1,361
129   1,484   1,479   1,475   1,471   1,467   1,463   1,459 1,456 1,453 1,437 1,424 1,412 1,402 1,394        1,386   1,379   1,372   1,367   1,361   1,352
139   1,477   1,472   1,468   1,464   1,460   1,456   1,453 1,449 1,446 1,430 1,417 1,405 1,395 1,386        1,378   1,371   1,365   1,359   1,353   1,344
149   1,471   1,467   1,462   1,458   1,454   1,450   1,447 1,443 1,440 1,424 1,410 1,399 1,389 1,380        1,372   1,364   1,358   1,352   1,347   1,337
                                                                              α = 0,01
16    3,012   3,006   3,001   2,995   2,990   2,985   2,981 2,976 2,972 2,952 2,936 2,922 2,910 2,900        2,891   2,883   2,876   2,870   2,864   2,854
19    2,755   2,749   2,743   2,738   2,732   2,727   2,723 2,718 2,714 2,694 2,677 2,663 2,651 2,641        2,631   2,623   2,616   2,609   2,603   2,593
24    2,486   2,480   2,474   2,468   2,463   2,458   2,453 2,448 2,444 2,424 2,407 2,392 2,380 2,369        2,359   2,351   2,343   2,336   2,330   2,320
29    2,319   2,313   2,307   2,301   2,296   2,290   2,285 2,280 2,276 2,255 2,238 2,223 2,210 2,199        2,189   2,180   2,172   2,165   2,159   2,148
39    2,121   2,115   2,109   2,103   2,097   2,092   2,087 2,082 2,077 2,055 2,037 2,021 2,008 1,996        1,986   1,977   1,968   1,961   1,954   1,943
49    2,008   2,002   1,996   1,989   1,984   1,978   1,973 1,968 1,963 1,940 1,921 1,905 1,891 1,879        1,868   1,859   1,850   1,842   1,835   1,823
59    1,935   1,928   1,922   1,916   1,910   1,904   1,899 1,893 1,888 1,865 1,846 1,829 1,815 1,802        1,791   1,781   1,772   1,764   1,757   1,744
69    1,883   1,876   1,870   1,864   1,858   1,852   1,846 1,841 1,836 1,812 1,793 1,776 1,761 1,748        1,737   1,726   1,717   1,709   1,702   1,688
79    1,845   1,838   1,831   1,825   1,819   1,813   1,807 1,802 1,797 1,773 1,753 1,736 1,721 1,707        1,696   1,685   1,676   1,668   1,660   1,646
89    1,815   1,808   1,802   1,795   1,789   1,783   1,777 1,772 1,767 1,743 1,722 1,705 1,689 1,676        1,664   1,653   1,644   1,635   1,627   1,614
99    1,792   1,785   1,778   1,772   1,765   1,759   1,754 1,748 1,743 1,718 1,698 1,680 1,664 1,651        1,639   1,628   1,618   1,609   1,601   1,588
109   1,773   1,766   1,759   1,752   1,746   1,740   1,734 1,728 1,723 1,699 1,678 1,660 1,644 1,630        1,618   1,607   1,597   1,588   1,580   1,566
119   1,757   1,750   1,743   1,736   1,730   1,724   1,718 1,712 1,707 1,682 1,661 1,643 1,627 1,613        1,601   1,590   1,580   1,571   1,562   1,548
129   1,743   1,736   1,729   1,723   1,716   1,710   1,704 1,699 1,693 1,668 1,647 1,629 1,613 1,599        1,586   1,575   1,565   1,556   1,547   1,533
139   1,732   1,725   1,718   1,711   1,705   1,698   1,693 1,687 1,681 1,656 1,635 1,616 1,600 1,586        1,573   1,562   1,552   1,543   1,534   1,520
149   1,722   1,715   1,708   1,701   1,695   1,688   1,682 1,677 1,671 1,646 1,624 1,606 1,590 1,575        1,563   1,551   1,541   1,532   1,523   1,508