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Probabilidades e estatística III-59



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Tabelas da distribuição F (continuação da página anterior) |
Índices

Ciência dos materiais
Eletricidade e eletromagnetismo
Eletrônica digital
Eletrônica em geral
Fluidos, calor, frio, etc
Informática
Matemática
Mecânica teórica
Resistência dos materiais
Temas técnicos diversos
Temas diversos
Termodinâmica / transmissão de calor

Tabelas da distribuição F

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Distribuição F
Figura 01
Na tabela abaixo, valores de x conforme Figura 01 para o valor de A indicado.

ν1: graus de liberdade da variável do numerador (primeira linha).

ν2: graus de liberdade da variável do denominador (primeira coluna à esquerda da tabela).


Tabela para A = 0,05 ou 5%
ν2/ν1 1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 120 ∞
1 161,4 199,5 215,7 224,6 230,2 234,0 236,8 238,9 240,5 241,9 243,9 245,9 248,0 249,1 250,1 251,1 252,2 253,3 254,3
2 18,51 19,00 19,16 19,25 19,30 19,33 19,35 19,37 19,38 19,40 19,41 19,43 19,45 19,45 19,46 19,47 19,48 19,49 19,50
3 10,13 9,552 9,277 9,117 9,014 8,941 8,887 8,845 8,812 8,786 8,745 8,703 8,660 8,639 8,617 8,594 8,572 8,549 8,526
4 7,709 6,944 6,591 6,388 6,256 6,163 6,094 6,041 5,999 5,964 5,912 5,858 5,803 5,774 5,746 5,717 5,688 5,658 5,628
5 6,608 5,786 5,410 5,192 5,050 4,950 4,876 4,818 4,773 4,735 4,678 4,619 4,558 4,527 4,496 4,464 4,431 4,399 4,365
6 5,987 5,143 4,757 4,534 4,387 4,284 4,207 4,147 4,099 4,060 4,000 3,938 3,874 3,842 3,808 3,774 3,740 3,705 3,669
7 5,591 4,737 4,347 4,120 3,972 3,866 3,787 3,726 3,677 3,637 3,575 3,511 3,445 3,411 3,376 3,340 3,304 3,267 3,230
8 5,318 4,459 4,066 3,838 3,688 3,581 3,501 3,438 3,388 3,347 3,284 3,218 3,150 3,115 3,079 3,043 3,005 2,967 2,928
9 5,117 4,257 3,863 3,633 3,482 3,374 3,293 3,230 3,179 3,137 3,073 3,006 2,937 2,901 2,864 2,826 2,787 2,748 2,707
10 4,965 4,103 3,708 3,478 3,326 3,217 3,136 3,072 3,020 2,978 2,913 2,845 2,774 2,737 2,700 2,661 2,621 2,580 2,538
11 4,844 3,982 3,587 3,357 3,204 3,095 3,012 2,948 2,896 2,854 2,788 2,719 2,646 2,609 2,571 2,531 2,490 2,448 2,405
12 4,747 3,885 3,490 3,259 3,106 2,996 2,913 2,849 2,796 2,753 2,687 2,617 2,544 2,506 2,466 2,426 2,384 2,341 2,296
13 4,667 3,806 3,411 3,179 3,025 2,915 2,832 2,767 2,714 2,671 2,604 2,533 2,459 2,420 2,380 2,339 2,297 2,252 2,206
14 4,600 3,739 3,344 3,112 2,958 2,848 2,764 2,699 2,646 2,602 2,534 2,463 2,388 2,349 2,308 2,266 2,223 2,178 2,131
15 4,543 3,682 3,287 3,056 2,901 2,791 2,707 2,641 2,588 2,544 2,475 2,403 2,328 2,288 2,247 2,204 2,160 2,114 2,066
16 4,494 3,634 3,239 3,007 2,852 2,741 2,657 2,591 2,538 2,494 2,425 2,352 2,276 2,235 2,194 2,151 2,106 2,059 2,010
17 4,451 3,592 3,197 2,965 2,810 2,699 2,614 2,548 2,494 2,450 2,381 2,308 2,230 2,190 2,148 2,104 2,058 2,011 1,960
18 4,414 3,555 3,160 2,928 2,773 2,661 2,577 2,510 2,456 2,412 2,342 2,269 2,191 2,150 2,107 2,063 2,017 1,968 1,917
19 4,381 3,522 3,127 2,895 2,740 2,628 2,544 2,477 2,423 2,378 2,308 2,234 2,156 2,114 2,071 2,026 1,980 1,930 1,878
20 4,351 3,493 3,098 2,866 2,711 2,599 2,514 2,447 2,393 2,348 2,278 2,203 2,124 2,083 2,039 1,994 1,946 1,896 1,843
21 4,325 3,467 3,073 2,840 2,685 2,573 2,488 2,421 2,366 2,321 2,250 2,176 2,096 2,054 2,010 1,965 1,917 1,866 1,812
22 4,301 3,443 3,049 2,817 2,661 2,549 2,464 2,397 2,342 2,297 2,226 2,151 2,071 2,028 1,984 1,938 1,889 1,838 1,783
23 4,279 3,422 3,028 2,796 2,640 2,528 2,442 2,375 2,320 2,275 2,204 2,128 2,048 2,005 1,961 1,914 1,865 1,813 1,757
24 4,260 3,403 3,009 2,776 2,621 2,508 2,423 2,355 2,300 2,255 2,183 2,108 2,027 1,984 1,939 1,892 1,842 1,790 1,733
25 4,242 3,385 2,991 2,759 2,603 2,490 2,405 2,337 2,282 2,237 2,165 2,089 2,008 1,964 1,919 1,872 1,822 1,768 1,711
26 4,225 3,369 2,975 2,743 2,587 2,474 2,388 2,321 2,266 2,220 2,148 2,072 1,990 1,946 1,901 1,853 1,803 1,749 1,691
27 4,210 3,354 2,960 2,728 2,572 2,459 2,373 2,305 2,250 2,204 2,132 2,056 1,974 1,930 1,884 1,836 1,785 1,731 1,672
28 4,196 3,340 2,947 2,714 2,558 2,445 2,359 2,291 2,236 2,190 2,118 2,041 1,959 1,915 1,869 1,820 1,769 1,714 1,654
29 4,183 3,328 2,934 2,701 2,545 2,432 2,346 2,278 2,223 2,177 2,105 2,028 1,945 1,901 1,854 1,806 1,754 1,698 1,638
30 4,171 3,316 2,922 2,690 2,534 2,421 2,334 2,266 2,211 2,165 2,092 2,015 1,932 1,887 1,841 1,792 1,740 1,684 1,622
40 4,085 3,232 2,839 2,606 2,450 2,336 2,249 2,180 2,124 2,077 2,004 1,925 1,839 1,793 1,744 1,693 1,637 1,577 1,509
60 4,001 3,150 2,758 2,525 2,368 2,254 2,167 2,097 2,040 1,993 1,917 1,836 1,748 1,700 1,649 1,594 1,534 1,467 1,389
120 3,920 3,072 2,680 2,447 2,290 2,175 2,087 2,016 1,959 1,911 1,834 1,751 1,659 1,608 1,554 1,495 1,429 1,352 1,254
∞ 3,842 2,996 2,605 2,372 2,214 2,099 2,010 1,938 1,880 1,831 1,752 1,666 1,571 1,517 1,459 1,394 1,318 1,221 1,000


Tabela para A = 0,025 ou 2,5%
ν2/ν1 1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 120 ∞
1 647,8 799,5 864,2 899,6 921,8 937,1 948,2 956,7 963,3 968,6 976,7 984,9 993,1 997,2 1001 1006 1010 1014 1018
2 38,51 39,00 39,17 39,25 39,30 39,33 39,36 39,37 39,39 39,40 39,41 39,43 39,45 39,46 39,47 39,47 39,48 39,49 39,50
3 17,44 16,04 15,44 15,10 14,88 14,73 14,62 14,54 14,47 14,42 14,34 14,25 14,17 14,12 14,08 14,04 13,99 13,95 13,90
4 12,22 10,65 9,979 9,605 9,365 9,197 9,074 8,980 8,905 8,844 8,751 8,657 8,560 8,511 8,461 8,411 8,360 8,309 8,257
5 10,01 8,434 7,764 7,388 7,146 6,978 6,853 6,757 6,681 6,619 6,525 6,428 6,329 6,278 6,227 6,175 6,123 6,069 6,015
6 8,813 7,260 6,599 6,227 5,988 5,820 5,696 5,600 5,523 5,461 5,366 5,269 5,168 5,117 5,065 5,012 4,959 4,904 4,849
7 8,073 6,542 5,890 5,523 5,285 5,119 4,995 4,899 4,823 4,761 4,666 4,568 4,467 4,415 4,362 4,309 4,254 4,199 4,142
8 7,571 6,060 5,416 5,053 4,817 4,652 4,529 4,433 4,357 4,295 4,200 4,101 4,000 3,947 3,894 3,840 3,784 3,728 3,670
9 7,209 5,715 5,078 4,718 4,484 4,320 4,197 4,102 4,026 3,964 3,868 3,769 3,667 3,614 3,560 3,505 3,449 3,392 3,333
10 6,937 5,456 4,826 4,468 4,236 4,072 3,950 3,855 3,779 3,717 3,621 3,522 3,419 3,365 3,311 3,255 3,198 3,140 3,080
11 6,724 5,256 4,630 4,275 4,044 3,881 3,759 3,664 3,588 3,526 3,430 3,330 3,226 3,173 3,118 3,061 3,004 2,944 2,883
12 6,554 5,096 4,474 4,121 3,891 3,728 3,607 3,512 3,436 3,374 3,277 3,177 3,073 3,019 2,963 2,906 2,848 2,787 2,725
13 6,414 4,965 4,347 3,996 3,767 3,604 3,483 3,388 3,312 3,250 3,153 3,053 2,948 2,893 2,837 2,780 2,720 2,659 2,595
14 6,298 4,857 4,242 3,892 3,663 3,501 3,380 3,285 3,209 3,147 3,050 2,949 2,844 2,789 2,732 2,674 2,614 2,552 2,487
15 6,200 4,765 4,153 3,804 3,576 3,415 3,293 3,199 3,123 3,060 2,963 2,862 2,756 2,701 2,644 2,585 2,524 2,461 2,395
16 6,115 4,687 4,077 3,729 3,502 3,341 3,219 3,125 3,049 2,986 2,889 2,788 2,681 2,625 2,568 2,509 2,447 2,383 2,316
17 6,042 4,619 4,011 3,665 3,438 3,277 3,156 3,061 2,985 2,922 2,825 2,723 2,616 2,560 2,502 2,442 2,380 2,315 2,247
18 5,978 4,560 3,954 3,608 3,382 3,221 3,100 3,005 2,929 2,866 2,769 2,667 2,559 2,503 2,445 2,384 2,321 2,256 2,187
19 5,922 4,508 3,903 3,559 3,333 3,172 3,051 2,956 2,880 2,817 2,720 2,617 2,509 2,452 2,394 2,333 2,270 2,203 2,133
20 5,872 4,461 3,859 3,515 3,289 3,128 3,007 2,913 2,837 2,774 2,676 2,573 2,465 2,408 2,349 2,287 2,223 2,156 2,085
21 5,827 4,420 3,819 3,475 3,250 3,090 2,969 2,874 2,798 2,735 2,637 2,534 2,425 2,368 2,308 2,246 2,182 2,114 2,042
22 5,786 4,383 3,783 3,440 3,215 3,055 2,934 2,839 2,763 2,700 2,602 2,498 2,389 2,332 2,272 2,210 2,145 2,076 2,003
23 5,750 4,349 3,751 3,408 3,184 3,023 2,902 2,808 2,731 2,668 2,570 2,467 2,357 2,299 2,239 2,176 2,111 2,041 1,968
24 5,717 4,319 3,721 3,379 3,155 2,995 2,874 2,779 2,703 2,640 2,541 2,437 2,327 2,269 2,209 2,146 2,080 2,010 1,935
25 5,686 4,291 3,694 3,353 3,129 2,969 2,848 2,753 2,677 2,614 2,515 2,411 2,301 2,242 2,182 2,118 2,052 1,981 1,906
26 5,659 4,266 3,670 3,329 3,105 2,945 2,824 2,729 2,653 2,590 2,491 2,387 2,276 2,217 2,157 2,093 2,026 1,954 1,878
27 5,633 4,242 3,647 3,307 3,083 2,923 2,802 2,707 2,631 2,568 2,469 2,364 2,253 2,195 2,133 2,069 2,002 1,930 1,853
28 5,610 4,221 3,626 3,286 3,063 2,903 2,782 2,687 2,611 2,547 2,448 2,344 2,232 2,174 2,112 2,048 1,980 1,907 1,829
29 5,588 4,201 3,607 3,267 3,044 2,884 2,763 2,669 2,592 2,529 2,430 2,325 2,213 2,154 2,092 2,028 1,959 1,886 1,807
30 5,568 4,182 3,589 3,250 3,027 2,867 2,746 2,651 2,575 2,511 2,412 2,307 2,195 2,136 2,074 2,009 1,940 1,866 1,787
40 5,424 4,051 3,463 3,126 2,904 2,744 2,624 2,529 2,452 2,388 2,288 2,182 2,068 2,007 1,943 1,875 1,803 1,724 1,637
60 5,286 3,925 3,343 3,008 2,786 2,627 2,507 2,412 2,334 2,270 2,169 2,061 1,945 1,882 1,815 1,744 1,667 1,581 1,482
120 5,152 3,805 3,227 2,894 2,674 2,515 2,395 2,299 2,222 2,157 2,055 1,945 1,825 1,760 1,690 1,614 1,530 1,433 1,310
∞ 5,024 3,689 3,116 2,786 2,567 2,408 2,288 2,192 2,114 2,048 1,945 1,833 1,709 1,640 1,566 1,484 1,388 1,268 1,000


Tabela para A = 0,01 ou 1%
ν2/ν1 1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 120 ∞
1 4052 5000 5403 5625 5764 5859 5928 5981 6022 6056 6106 6157 6209 6235 6261 6287 6313 6339 6366
2 98,50 99,00 99,17 99,25 99,30 99,33 99,36 99,37 99,39 99,40 99,42 99,43 99,45 99,46 99,47 99,47 99,48 99,49 99,50
3 34,12 30,82 29,46 28,71 28,24 27,91 27,67 27,49 27,35 27,23 27,05 26,87 26,69 26,60 26,51 26,41 26,32 26,22 26,13
4 21,20 18,00 16,69 15,98 15,52 15,21 14,98 14,80 14,66 14,55 14,37 14,20 14,02 13,93 13,84 13,75 13,65 13,56 13,46
5 16,26 13,27 12,06 11,39 10,97 10,67 10,46 10,29 10,16 10,05 9,888 9,722 9,553 9,466 9,379 9,291 9,202 9,112 9,020
6 13,75 10,93 9,780 9,148 8,746 8,466 8,260 8,102 7,976 7,874 7,718 7,559 7,396 7,313 7,229 7,143 7,057 6,969 6,880
7 12,25 9,547 8,451 7,847 7,460 7,191 6,993 6,840 6,719 6,620 6,469 6,314 6,155 6,074 5,992 5,908 5,824 5,737 5,650
8 11,26 8,649 7,591 7,006 6,632 6,371 6,178 6,029 5,911 5,814 5,667 5,515 5,359 5,279 5,198 5,116 5,032 4,946 4,859
9 10,56 8,022 6,992 6,422 6,057 5,802 5,613 5,467 5,351 5,257 5,111 4,962 4,808 4,729 4,649 4,567 4,483 4,398 4,311
10 10,04 7,559 6,552 5,994 5,636 5,386 5,200 5,057 4,942 4,849 4,706 4,558 4,405 4,327 4,247 4,165 4,082 3,996 3,909
11 9,646 7,206 6,217 5,668 5,316 5,069 4,886 4,744 4,632 4,539 4,397 4,251 4,099 4,021 3,941 3,860 3,776 3,690 3,602
12 9,330 6,927 5,953 5,412 5,064 4,821 4,640 4,499 4,388 4,296 4,155 4,010 3,858 3,780 3,701 3,619 3,535 3,449 3,361
13 9,074 6,701 5,739 5,205 4,862 4,620 4,441 4,302 4,191 4,100 3,960 3,815 3,665 3,587 3,507 3,425 3,341 3,255 3,165
14 8,862 6,515 5,564 5,035 4,695 4,456 4,278 4,140 4,030 3,939 3,800 3,656 3,505 3,427 3,348 3,266 3,181 3,094 3,004
15 8,683 6,359 5,417 4,893 4,556 4,318 4,142 4,004 3,895 3,805 3,666 3,522 3,372 3,294 3,214 3,132 3,047 2,959 2,868
16 8,531 6,226 5,292 4,773 4,437 4,202 4,026 3,890 3,780 3,691 3,553 3,409 3,259 3,181 3,101 3,018 2,933 2,845 2,753
17 8,400 6,112 5,185 4,669 4,336 4,102 3,927 3,791 3,682 3,593 3,455 3,312 3,162 3,084 3,003 2,920 2,835 2,746 2,653
18 8,285 6,013 5,092 4,579 4,248 4,015 3,841 3,705 3,597 3,508 3,371 3,227 3,077 2,999 2,919 2,835 2,749 2,660 2,566
19 8,185 5,926 5,010 4,500 4,171 3,939 3,765 3,631 3,523 3,434 3,297 3,153 3,003 2,925 2,844 2,761 2,674 2,584 2,489
20 8,096 5,849 4,938 4,431 4,103 3,871 3,699 3,564 3,457 3,368 3,231 3,088 2,938 2,859 2,778 2,695 2,608 2,517 2,421
21 8,017 5,780 4,874 4,369 4,042 3,812 3,640 3,506 3,398 3,310 3,173 3,030 2,880 2,801 2,720 2,636 2,548 2,457 2,360
22 7,945 5,719 4,817 4,313 3,988 3,758 3,587 3,453 3,346 3,258 3,121 2,978 2,827 2,749 2,667 2,583 2,495 2,403 2,305
23 7,881 5,664 4,765 4,264 3,939 3,710 3,539 3,406 3,299 3,211 3,074 2,931 2,781 2,702 2,620 2,535 2,447 2,354 2,256
24 7,823 5,614 4,718 4,218 3,895 3,667 3,496 3,363 3,256 3,168 3,032 2,889 2,738 2,659 2,577 2,492 2,403 2,310 2,211
25 7,770 5,568 4,675 4,177 3,855 3,627 3,457 3,324 3,217 3,129 2,993 2,850 2,699 2,620 2,538 2,453 2,364 2,270 2,169
26 7,721 5,526 4,637 4,140 3,818 3,591 3,421 3,288 3,182 3,094 2,958 2,815 2,664 2,585 2,503 2,417 2,327 2,233 2,131
27 7,677 5,488 4,601 4,106 3,785 3,558 3,388 3,256 3,149 3,062 2,926 2,783 2,632 2,552 2,470 2,384 2,294 2,198 2,097
28 7,636 5,453 4,568 4,074 3,754 3,528 3,358 3,226 3,120 3,032 2,896 2,753 2,602 2,522 2,440 2,354 2,263 2,167 2,064
29 7,598 5,420 4,538 4,045 3,725 3,499 3,330 3,198 3,092 3,005 2,868 2,726 2,574 2,495 2,412 2,325 2,234 2,138 2,034
30 7,562 5,390 4,510 4,018 3,699 3,473 3,304 3,173 3,067 2,979 2,843 2,700 2,549 2,469 2,386 2,299 2,208 2,111 2,006
40 7,314 5,179 4,313 3,828 3,514 3,291 3,124 2,993 2,888 2,801 2,665 2,522 2,369 2,288 2,203 2,114 2,019 1,917 1,805
60 7,077 4,977 4,126 3,649 3,339 3,119 2,953 2,823 2,718 2,632 2,496 2,352 2,198 2,115 2,028 1,936 1,836 1,726 1,601
120 6,851 4,787 3,949 3,480 3,174 2,956 2,792 2,663 2,559 2,472 2,336 2,192 2,035 1,950 1,860 1,763 1,656 1,533 1,381
∞ 6,635 4,605 3,782 3,319 3,017 2,802 2,639 2,511 2,407 2,321 2,185 2,039 1,878 1,791 1,696 1,592 1,473 1,325 1,000


Topo | Índice do grupo | Página anterior | Próxima página | Última revisão ou atualização: Mar/2008
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Referências:
 NIST/SEMATECH e-Handbook of Statistical Methods. http://www.itl.nist.gov/div898/handbook/.