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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
41 42 43 44 45 46 47 48 49 54 59 64 69 74 79 84 89 94 99 109
α = 0,05
1 251 251 251
251
251 252 252 252
252
252 252 252 252
253
253 253 253 253
253
253
2 19,47 19,47 19,47
19,47
19,47 19,47 19,47 19,48
19,48
19,48 19,48 19,48 19,48
19,48
19,48 19,48 19,48 19,49
19,49
19,49
3 8,593 8,591 8,590
8,588
8,587 8,586 8,584 8,583
8,582
8,577 8,573 8,569 8,566
8,563
8,561 8,559 8,557 8,556
8,554
8,552
4 5,715 5,713 5,711
5,709
5,707 5,706 5,704 5,702
5,701
5,694 5,689 5,684 5,680
5,677
5,674 5,671 5,668 5,666
5,664
5,661
5 4,461 4,459 4,457
4,455
4,453 4,451 4,449 4,448
4,446
4,439 4,432 4,427 4,423
4,419
4,416 4,413 4,410 4,408
4,405
4,402
6 3,772 3,769 3,767
3,765
3,763 3,761 3,759 3,757
3,755
3,748 3,741 3,735 3,731
3,727
3,723 3,720 3,717 3,714
3,712
3,708
7 3,338 3,335 3,333
3,331
3,328 3,326 3,324 3,322
3,321
3,312 3,306 3,300 3,295
3,290
3,287 3,283 3,280 3,278
3,275
3,271
8 3,040 3,037 3,035
3,033
3,030 3,028 3,026 3,024
3,022
3,014 3,007 3,001 2,995
2,991
2,987 2,983 2,980 2,978
2,975
2,971
9 2,823 2,820 2,818 2,815 2,813 2,811 2,809 2,807 2,805 2,796 2,789 2,782 2,777 2,772 2,768 2,765 2,761 2,759 2,756 2,752
10 2,658 2,655 2,653
2,650
2,648 2,645 2,643 2,641
2,639
2,630 2,622 2,616 2,611
2,606
2,602 2,598 2,595 2,592
2,589
2,584
11 2,528 2,525 2,522
2,520
2,517 2,515 2,513 2,511
2,509
2,499 2,492 2,485 2,479
2,474
2,470 2,466 2,463 2,460
2,457
2,452
12 2,423 2,420 2,417
2,415
2,412 2,410 2,407 2,405
2,403
2,394 2,386 2,379 2,373
2,368
2,364 2,360 2,356 2,353
2,350
2,345
13 2,336 2,333 2,330
2,328
2,325 2,323 2,320 2,318
2,316
2,306 2,298 2,291 2,285
2,280
2,276 2,272 2,268 2,265
2,262
2,257
14 2,263 2,260 2,257
2,255
2,252 2,250 2,247 2,245
2,243
2,233 2,224 2,217 2,211
2,206
2,201 2,197 2,194 2,190
2,188
2,182
15 2,201 2,198 2,195
2,192
2,190 2,187 2,185 2,182
2,180
2,170 2,162 2,154 2,148
2,143
2,138 2,134 2,130 2,127
2,124
2,119
α = 0,01
1 6289 6290 6292
6294
6296 6297 6299 6300
6301
6307 6313 6316 6320
6323
6326 6328 6330 6332
6334
6337
2 99,48 99,48 99,48
99,48
99,48 99,48 99,48 99,48
99,48
99,48 99,48 99,48 99,48
99,48
99,48 99,49 99,49 99,49
99,49
99,49
3 26,40 26,40 26,39
26,39
26,38 26,37 26,37 26,36
26,36
26,34 26,32 26,30 26,29
26,28
26,27 26,26 26,25 26,25
26,24
26,23
4 13,74 13,73 13,73
13,72
13,71 13,71 13,70 13,70
13,69
13,67 13,66 13,64 13,63
13,62
13,61 13,60 13,59 13,58
13,58
13,57
5 9,285 9,278 9,273
9,267
9,262 9,256 9,251 9,247
9,242
9,222 9,205 9,191 9,179
9,168
9,159 9,151 9,143 9,137
9,131
9,121
6 7,137 7,131 7,125
7,120
7,115 7,110 7,105 7,100
7,096
7,076 7,060 7,046 7,034
7,024
7,015 7,007 7,000 6,993
6,988
6,978
7 5,902 5,896 5,891
5,885
5,880 5,875 5,871 5,866
5,862
5,843 5,826 5,813 5,801
5,791
5,782 5,774 5,767 5,761
5,756
5,746
8 5,110 5,104 5,098
5,093
5,088 5,083 5,078 5,074
5,070
5,050 5,035 5,021 5,009
4,999
4,991 4,983 4,976 4,970
4,964
4,955
9 4,561 4,555 4,549 4,544 4,539 4,534 4,530 4,525 4,521 4,502 4,486 4,473 4,461 4,451 4,442 4,435 4,428 4,422 4,416 4,406
10 4,159 4,153 4,148
4,143
4,138 4,133 4,128 4,124
4,120
4,101 4,085 4,071 4,060
4,050
4,041 4,033 4,026 4,020
4,015
4,005
11 3,854 3,848 3,842
3,837
3,832 3,827 3,822 3,818
3,814
3,795 3,779 3,765 3,754
3,744
3,735 3,727 3,721 3,714
3,709
3,699
12 3,613 3,607 3,602
3,597
3,592 3,587 3,582 3,578
3,573
3,554 3,538 3,525 3,513
3,503
3,494 3,487 3,480 3,473
3,468
3,458
13 3,419 3,413 3,408
3,403
3,398 3,393 3,388 3,384
3,379
3,360 3,344 3,331 3,319
3,309
3,300 3,292 3,285 3,279
3,273
3,264
14 3,260 3,254 3,248
3,243
3,238 3,233 3,228 3,224
3,219
3,200 3,184 3,171 3,159
3,149
3,140 3,132 3,125 3,119
3,113
3,103
15 3,126 3,120 3,114
3,109
3,104 3,099 3,094 3,090
3,086
3,066 3,050 3,036 3,025
3,014
3,005 2,997 2,990 2,984
2,978
2,968
Критические значения распределения Фишера Fα(df1, df2) (продолжение)
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
1 251 251 251 251 251 252 252 252 252 252 252 252 252 253 253 253 253 253 253 253
2 19,47 19,47 19,47 19,47 19,47 19,47 19,47 19,48 19,48 19,48 19,48 19,48 19,48 19,48 19,48 19,48 19,48 19,49 19,49 19,49
3 8,593 8,591 8,590 8,588 8,587 8,586 8,584 8,583 8,582 8,577 8,573 8,569 8,566 8,563 8,561 8,559 8,557 8,556 8,554 8,552
4 5,715 5,713 5,711 5,709 5,707 5,706 5,704 5,702 5,701 5,694 5,689 5,684 5,680 5,677 5,674 5,671 5,668 5,666 5,664 5,661
5 4,461 4,459 4,457 4,455 4,453 4,451 4,449 4,448 4,446 4,439 4,432 4,427 4,423 4,419 4,416 4,413 4,410 4,408 4,405 4,402
6 3,772 3,769 3,767 3,765 3,763 3,761 3,759 3,757 3,755 3,748 3,741 3,735 3,731 3,727 3,723 3,720 3,717 3,714 3,712 3,708
7 3,338 3,335 3,333 3,331 3,328 3,326 3,324 3,322 3,321 3,312 3,306 3,300 3,295 3,290 3,287 3,283 3,280 3,278 3,275 3,271
8 3,040 3,037 3,035 3,033 3,030 3,028 3,026 3,024 3,022 3,014 3,007 3,001 2,995 2,991 2,987 2,983 2,980 2,978 2,975 2,971
9 2,823 2,820 2,818 2,815 2,813 2,811 2,809 2,807 2,805 2,796 2,789 2,782 2,777 2,772 2,768 2,765 2,761 2,759 2,756 2,752
10 2,658 2,655 2,653 2,650 2,648 2,645 2,643 2,641 2,639 2,630 2,622 2,616 2,611 2,606 2,602 2,598 2,595 2,592 2,589 2,584
11 2,528 2,525 2,522 2,520 2,517 2,515 2,513 2,511 2,509 2,499 2,492 2,485 2,479 2,474 2,470 2,466 2,463 2,460 2,457 2,452
12 2,423 2,420 2,417 2,415 2,412 2,410 2,407 2,405 2,403 2,394 2,386 2,379 2,373 2,368 2,364 2,360 2,356 2,353 2,350 2,345
13 2,336 2,333 2,330 2,328 2,325 2,323 2,320 2,318 2,316 2,306 2,298 2,291 2,285 2,280 2,276 2,272 2,268 2,265 2,262 2,257
14 2,263 2,260 2,257 2,255 2,252 2,250 2,247 2,245 2,243 2,233 2,224 2,217 2,211 2,206 2,201 2,197 2,194 2,190 2,188 2,182
15 2,201 2,198 2,195 2,192 2,190 2,187 2,185 2,182 2,180 2,170 2,162 2,154 2,148 2,143 2,138 2,134 2,130 2,127 2,124 2,119
α = 0,01
1 6289 6290 6292 6294 6296 6297 6299 6300 6301 6307 6313 6316 6320 6323 6326 6328 6330 6332 6334 6337
2 99,48 99,48 99,48 99,48 99,48 99,48 99,48 99,48 99,48 99,48 99,48 99,48 99,48 99,48 99,48 99,49 99,49 99,49 99,49 99,49
3 26,40 26,40 26,39 26,39 26,38 26,37 26,37 26,36 26,36 26,34 26,32 26,30 26,29 26,28 26,27 26,26 26,25 26,25 26,24 26,23
4 13,74 13,73 13,73 13,72 13,71 13,71 13,70 13,70 13,69 13,67 13,66 13,64 13,63 13,62 13,61 13,60 13,59 13,58 13,58 13,57
5 9,285 9,278 9,273 9,267 9,262 9,256 9,251 9,247 9,242 9,222 9,205 9,191 9,179 9,168 9,159 9,151 9,143 9,137 9,131 9,121
6 7,137 7,131 7,125 7,120 7,115 7,110 7,105 7,100 7,096 7,076 7,060 7,046 7,034 7,024 7,015 7,007 7,000 6,993 6,988 6,978
7 5,902 5,896 5,891 5,885 5,880 5,875 5,871 5,866 5,862 5,843 5,826 5,813 5,801 5,791 5,782 5,774 5,767 5,761 5,756 5,746
8 5,110 5,104 5,098 5,093 5,088 5,083 5,078 5,074 5,070 5,050 5,035 5,021 5,009 4,999 4,991 4,983 4,976 4,970 4,964 4,955
9 4,561 4,555 4,549 4,544 4,539 4,534 4,530 4,525 4,521 4,502 4,486 4,473 4,461 4,451 4,442 4,435 4,428 4,422 4,416 4,406
10 4,159 4,153 4,148 4,143 4,138 4,133 4,128 4,124 4,120 4,101 4,085 4,071 4,060 4,050 4,041 4,033 4,026 4,020 4,015 4,005
11 3,854 3,848 3,842 3,837 3,832 3,827 3,822 3,818 3,814 3,795 3,779 3,765 3,754 3,744 3,735 3,727 3,721 3,714 3,709 3,699
12 3,613 3,607 3,602 3,597 3,592 3,587 3,582 3,578 3,573 3,554 3,538 3,525 3,513 3,503 3,494 3,487 3,480 3,473 3,468 3,458
13 3,419 3,413 3,408 3,403 3,398 3,393 3,388 3,384 3,379 3,360 3,344 3,331 3,319 3,309 3,300 3,292 3,285 3,279 3,273 3,264
14 3,260 3,254 3,248 3,243 3,238 3,233 3,228 3,224 3,219 3,200 3,184 3,171 3,159 3,149 3,140 3,132 3,125 3,119 3,113 3,103
15 3,126 3,120 3,114 3,109 3,104 3,099 3,094 3,090 3,086 3,066 3,050 3,036 3,025 3,014 3,005 2,997 2,990 2,984 2,978 2,968
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