Statistical Reference Tables for Normal, Student, Chi-Square, and Fisher Distributions

0,7549

0,7852

0,8133

0,8389

0,8621

0,8830

0,9015

0,9177

0,9319

0,9441

0,9545

0,9633

0,9706

0,9767

0,9817

0,9857

0,9890

0,9916

0,9936

0,9952

0,9964

0,9974

0,9981

0,9986

0,9990

0,9993

0,9995

0,9997

0,9998

0,9998

Table pour les grandes valeurs de x :

x

3

3,2

3,4

3,6

3,8

4

4,2

4,4

4,6

4,8

F(x) 0,99865003 0,99931280 0,99966302 0,99984085 0,99992763 0,99996831 0,99998665 0,99999458 0,99999789 0,99999921

http://odlv.free.fr

• 1 -

¥

-

ò

¥

-

-

Loi de Student

Valeurs de t ayant la probabilité P d’être dépassées en valeur absolue.

f(x)

P/2

P/2

-t

0

t

¥+

n \P

90%

80%

70%

60%

50%

40%

30%

20%

10%

5%

1%

1 0,1584 0,3249 0,5095 0,7265 1,0000 1,3764 1,9626 3,0777 6,3137 12,7062 63,6559

2 0,1421 0,2887 0,4447 0,6172 0,8165 1,0607 1,3862 1,8856 2,9200 4,3027 9,9250

3 0,1366 0,2767 0,4242 0,5844 0,7649 0,9785 1,2498 1,6377 2,3534 3,1824 5,8408

4 0,1338 0,2707 0,4142 0,5686 0,7407 0,9410 1,1896 1,5332 2,1318 2,7765 4,6041

5 0,1322 0,2672 0,4082 0,5594 0,7267 0,9195 1,1558 1,4759 2,0150 2,5706 4,0321

6 0,1311 0,2648 0,4043 0,5534 0,7176 0,9057 1,1342 1,4398 1,9432 2,4469 3,7074

7 0,1303 0,2632 0,4015 0,5491 0,7111 0,8960 1,1192 1,4149 1,8946 2,3646 3,4995

8 0,1297 0,2619 0,3995 0,5459 0,7064 0,8889 1,1081 1,3968 1,8595 2,3060 3,3554

9 0,1293 0,2610 0,3979 0,5435 0,7027 0,8834 1,0997 1,3830 1,8331 2,2622 3,2498

10 0,1289 0,2602 0,3966 0,5415 0,6998 0,8791 1,0931 1,3722 1,8125 2,2281 3,1693

11 0,1286 0,2596 0,3956 0,5399 0,6974 0,8755 1,0877 1,3634 1,7959 2,2010 3,1058

12 0,1283 0,2590 0,3947 0,5386 0,6955 0,8726 1,0832 1,3562 1,7823 2,1788 3,0545

13 0,1281 0,2586 0,3940 0,5375 0,6938 0,8702 1,0795 1,3502 1,7709 2,1604 3,0123

14 0,1280 0,2582 0,3933 0,5366 0,6924 0,8681 1,0763 1,3450 1,7613 2,1448 2,9768

15 0,1278 0,2579 0,3928 0,5357 0,6912 0,8662 1,0735 1,3406 1,7531 2,1315 2,9467

16 0,1277 0,2576 0,3923 0,5350 0,6901 0,8647 1,0711 1,3368 1,7459 2,1199 2,9208

17 0,1276 0,2573 0,3919 0,5344 0,6892 0,8633 1,0690 1,3334 1,7396 2,1098 2,8982

18 0,1274 0,2571 0,3915 0,5338 0,6884 0,8620 1,0672 1,3304 1,7341 2,1009 2,8784

19 0,1274 0,2569 0,3912 0,5333 0,6876 0,8610 1,0655 1,3277 1,7291 2,0930 2,8609

20 0,1273 0,2567 0,3909 0,5329 0,6870 0,8600 1,0640 1,3253 1,7247 2,0860 2,8453

21 0,1272 0,2566 0,3906 0,5325 0,6864 0,8591 1,0627 1,3232 1,7207 2,0796 2,8314

22 0,1271 0,2564 0,3904 0,5321 0,6858 0,8583 1,0614 1,3212 1,7171 2,0739 2,8188

23 0,1271 0,2563 0,3902 0,5317 0,6853 0,8575 1,0603 1,3195 1,7139 2,0687 2,8073

24 0,1270 0,2562 0,3900 0,5314 0,6848 0,8569 1,0593 1,3178 1,7109 2,0639 2,7970

25 0,1269 0,2561 0,3898 0,5312 0,6844 0,8562 1,0584 1,3163 1,7081 2,0595 2,7874

26 0,1269 0,2560 0,3896 0,5309 0,6840 0,8557 1,0575 1,3150 1,7056 2,0555 2,7787

27 0,1268 0,2559 0,3894 0,5306 0,6837 0,8551 1,0567 1,3137 1,7033 2,0518 2,7707

28 0,1268 0,2558 0,3893 0,5304 0,6834 0,8546 1,0560 1,3125 1,7011 2,0484 2,7633

29 0,1268 0,2557 0,3892 0,5302 0,6830 0,8542 1,0553 1,3114 1,6991 2,0452 2,7564

30 0,1267 0,2556 0,3890 0,5300 0,6828 0,8538 1,0547 1,3104 1,6973 2,0423 2,7500

40 0,1265 0,2550 0,3881 0,5286 0,6807 0,8507 1,0500 1,3031 1,6839 2,0211 2,7045

50 0,1263 0,2547 0,3875 0,5278 0,6794 0,8489 1,0473 1,2987 1,6759 2,0086 2,6778

60 0,1262 0,2545 0,3872 0,5272 0,6786 0,8477 1,0455 1,2958 1,6706 2,0003 2,6603

80 0,1261 0,2542 0,3867 0,5265 0,6776 0,8461 1,0432 1,2922 1,6641 1,9901 2,6387

100 0,1260 0,2540 0,3864 0,5261 0,6770 0,8452 1,0418 1,2901 1,6602 1,9840 2,6259

120 0,1259 0,2539 0,3862 0,5258 0,6765 0,8446 1,0409 1,2886 1,6576 1,9799 2,6174

200 0,1258 0,2537 0,3859 0,5252 0,6757 0,8434 1,0391 1,2858 1,6525 1,9719 2,6006

0,1257 0,2533 0,3853 0,5244 0,6745 0,8416 1,0364 1,2816 1,6449 1,9600 2,5758

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• 2 -

¥

-

¥

Loi du

Valeur de

2c

2c ayant la probabilité P d’être dépassée.

)2cf

(

P

0

2c

¥+

ddl/P

2,5%

1,0%

0,5%

5,0% 10,0% 50,0% 90,0% 95,0% 97,5% 99,0% 99,5%

1 0,000 0,000 0,001 0,004 0,016 0,455 2,706 3,841 5,024 6,635 7,879

2 0,010 0,020 0,051 0,103 0,211 1,386 4,605 5,991 7,378 9,210 10,597

3 0,072 0,115 0,216 0,352 0,584 2,366 6,251 7,815 9,348 11,345 12,838

4 0,207 0,297 0,484 0,711 1,064 3,357 7,779 9,488 11,143 13,277 14,860

5 0,412 0,554 0,831 1,145 1,610 4,351 9,236 11,070 12,832 15,086 16,750

6 0,676 0,872 1,237 1,635 2,204 5,348 10,645 12,592 14,449 16,812 18,548

7 0,989 1,239 1,690 2,167 2,833 6,346 12,017 14,067 16,013 18,475 20,278

8 1,344 1,647 2,180 2,733 3,490 7,344 13,362 15,507 17,535 20,090 21,955

9 1,735 2,088 2,700 3,325 4,168 8,343 14,684 16,919 19,023 21,666 23,589

10 2,156 2,558 3,247 3,940 4,865 9,342 15,987 18,307 20,483 23,209 25,188

11 2,603 3,053 3,816 4,575 5,578 10,341 17,275 19,675 21,920 24,725 26,757

12 3,074 3,571 4,404 5,226 6,304 11,340 18,549 21,026 23,337 26,217 28,300

13 3,565 4,107 5,009 5,892 7,041 12,340 19,812 22,362 24,736 27,688 29,819

14 4,075 4,660 5,629 6,571 7,790 13,339 21,064 23,685 26,119 29,141 31,319

15 4,601 5,229 6,262 7,261 8,547 14,339 22,307 24,996 27,488 30,578 32,801

16 5,142 5,812 6,908 7,962 9,312 15,338 23,542 26,296 28,845 32,000 34,267

17 5,697 6,408 7,564 8,672 10,085 16,338 24,769 27,587 30,191 33,409 35,718

18 6,265 7,015 8,231 9,390 10,865 17,338 25,989 28,869 31,526 34,805 37,156

19 6,844 7,633 8,907 10,117 11,651 18,338 27,204 30,144 32,852 36,191 38,582

20 7,434 8,260 9,591 10,851 12,443 19,337 28,412 31,410 34,170 37,566 39,997

21 8,034 8,897 10,283 11,591 13,240 20,337 29,615 32,671 35,479 38,932 41,401

22 8,643 9,542 10,982 12,338 14,041 21,337 30,813 33,924 36,781 40,289 42,796

23 9,260 10,196 11,689 13,091 14,848 22,337 32,007 35,172 38,076 41,638 44,181

24 9,886 10,856 12,401 13,848 15,659 23,337 33,196 36,415 39,364 42,980 45,558

25 10,520 11,524 13,120 14,611 16,473 24,337 34,382 37,652 40,646 44,314 46,928

26 11,160 12,198 13,844 15,379 17,292 25,336 35,563 38,885 41,923 45,642 48,290

27 11,808 12,878 14,573 16,151 18,114 26,336 36,741 40,113 43,195 46,963 49,645

28 12,461 13,565 15,308 16,928 18,939 27,336 37,916 41,337 44,461 48,278 50,994

29 13,121 14,256 16,047 17,708 19,768 28,336 39,087 42,557 45,722 49,588 52,335

30 13,787 14,953 16,791 18,493 20,599 29,336 40,256 43,773 46,979 50,892 53,672

31 14,458 15,655 17,539 19,281 21,434 30,336 41,422 44,985 48,232 52,191 55,002

32 15,134 16,362 18,291 20,072 22,271 31,336 42,585 46,194 49,480 53,486 56,328

33 15,815 17,073 19,047 20,867 23,110 32,336 43,745 47,400 50,725 54,775 57,648

34 16,501 17,789 19,806 21,664 23,952 33,336 44,903 48,602 51,966 56,061 58,964

35 17,192 18,509 20,569 22,465 24,797 34,336 46,059 49,802 53,203 57,342 60,275

Lorsque

30>n

réduite.

on peut admettre que la quantité

2 2

c

2

n

1

suit une loi normale centrée

http://odlv.free.fr

• 3 -

-

-

Loi de Fisher-Snedecor

f(F)

0

P

F

¥+

Valeurs de F ayant 5% de chances d’être dépassées.

n

2 n

1

1

2

3

4

5

6

8

10

12

18

24

30

50

60

120

1 161,446 199,499 215,707 224,583 230,160 233,988 238,884 241,882 243,905 247,324 249,052 250,096 251,774 252,196 253,254

2 18,513 19,000 19,164 19,247 19,296 19,329 19,371 19,396 19,412 19,440 19,454 19,463 19,476 19,479 19,487

3 10,128 9,552 9,277 9,117 9,013 8,941 8,845 8,785 8,745 8,675 8,638 8,617 8,581 8,572 8,549

4 7,709 6,944 6,591 6,388 6,256 6,163 6,041 5,964 5,912 5,821 5,774 5,746 5,699 5,688 5,658

5 6,608 5,786 5,409 5,192 5,050 4,950 4,818 4,735 4,678 4,579 4,527 4,496 4,444 4,431 4,398

6 5,987 5,143 4,757 4,534 4,387 4,284 4,147 4,060 4,000 3,896 3,841 3,808 3,754 3,740 3,705

7 5,591 4,737 4,347 4,120 3,972 3,866 3,726 3,637 3,575 3,467 3,410 3,376 3,319 3,304 3,267

8 5,318 4,459 4,066 3,838 3,688 3,581 3,438 3,347 3,284 3,173 3,115 3,079 3,020 3,005 2,967

9 5,117 4,256 3,863 3,633 3,482 3,374 3,230 3,137 3,073 2,960 2,900 2,864 2,803 2,787 2,748

10 4,965 4,103 3,708 3,478 3,326 3,217 3,072 2,978 2,913 2,798 2,737 2,700 2,637 2,621 2,580

11 4,844 3,982 3,587 3,357 3,204 3,095 2,948 2,854 2,788 2,671 2,609 2,570 2,507 2,490 2,448

12 4,747 3,885 3,490 3,259 3,106 2,996 2,849 2,753 2,687 2,568 2,505 2,466 2,401 2,384 2,341

13 4,667 3,806 3,411 3,179 3,025 2,915 2,767 2,671 2,604 2,484 2,420 2,380 2,314 2,297 2,252

14 4,600 3,739 3,344 3,112 2,958 2,848 2,699 2,602 2,534 2,413 2,349 2,308 2,241 2,223 2,178

15 4,543 3,682 3,287 3,056 2,901 2,790 2,641 2,544 2,475 2,353 2,288 2,247 2,178 2,160 2,114

16 4,494 3,634 3,239 3,007 2,852 2,741 2,591 2,494 2,425 2,302 2,235 2,194 2,124 2,106 2,059

17 4,451 3,592 3,197 2,965 2,810 2,699 2,548 2,450 2,381 2,257 2,190 2,148 2,077 2,058 2,011

18 4,414 3,555 3,160 2,928 2,773 2,661 2,510 2,412 2,342 2,217 2,150 2,107 2,035 2,017 1,968

19 4,381 3,522 3,127 2,895 2,740 2,628 2,477 2,378 2,308 2,182 2,114 2,071 1,999 1,980 1,930

20 4,351 3,493 3,098 2,866 2,711 2,599 2,447 2,348 2,278 2,151 2,082 2,039 1,966 1,946 1,896

21 4,325 3,467 3,072 2,840 2,685 2,573 2,420 2,321 2,250 2,123 2,054 2,010 1,936 1,916 1,866

22 4,301 3,443 3,049 2,817 2,661 2,549 2,397 2,297 2,226 2,098 2,028 1,984 1,909 1,889 1,838

23 4,279 3,422 3,028 2,796 2,640 2,528 2,375 2,275 2,204 2,075 2,005 1,961 1,885 1,865 1,813

24 4,260 3,403 3,009 2,776 2,621 2,508 2,355 2,255 2,183 2,054 1,984 1,939 1,863 1,842 1,790

25 4,242 3,385 2,991 2,759 2,603 2,490 2,337 2,236 2,165 2,035 1,964 1,919 1,842 1,822 1,768

26 4,225 3,369 2,975 2,743 2,587 2,474 2,321 2,220 2,148 2,018 1,946 1,901 1,823 1,803 1,749

27 4,210 3,354 2,960 2,728 2,572 2,459 2,305 2,204 2,132 2,002 1,930 1,884 1,806 1,785 1,731

28 4,196 3,340 2,947 2,714 2,558 2,445 2,291 2,190 2,118 1,987 1,915 1,869 1,790 1,769 1,714

29 4,183 3,328 2,934 2,701 2,545 2,432 2,278 2,177 2,104 1,973 1,901 1,854 1,775 1,754 1,698

30 4,171 3,316 2,922 2,690 2,534 2,421 2,266 2,165 2,092 1,960 1,887 1,841 1,761 1,740 1,683

31 4,160 3,305 2,911 2,679 2,523 2,409 2,255 2,153 2,080 1,948 1,875 1,828 1,748 1,726 1,670

32 4,149 3,295 2,901 2,668 2,512 2,399 2,244 2,142 2,070 1,937 1,864 1,817 1,736 1,714 1,657

33 4,139 3,285 2,892 2,659 2,503 2,389 2,235 2,133 2,060 1,926 1,853 1,806 1,724 1,702 1,645

34 4,130 3,276 2,883 2,650 2,494 2,380 2,225 2,123 2,050 1,917 1,843 1,795 1,713 1,691 1,633

35 4,121 3,267 2,874 2,641 2,485 2,372 2,217 2,114 2,041 1,907 1,833 1,786 1,703 1,681 1,623

40 4,085 3,232 2,839 2,606 2,449 2,336 2,180 2,077 2,003 1,868 1,793 1,744 1,660 1,637 1,577

50 4,034 3,183 2,790 2,557 2,400 2,286 2,130 2,026 1,952 1,814 1,737 1,687 1,599 1,576 1,511

80 3,960 3,111 2,719 2,486 2,329 2,214 2,056 1,951 1,875 1,734 1,654 1,602 1,508 1,482 1,411

100 3,936 3,087 2,696 2,463 2,305 2,191 2,032 1,927 1,850 1,708 1,627 1,573 1,477 1,450 1,376

120 3,920 3,072 2,680 2,447 2,290 2,175 2,016 1,910 1,834 1,690 1,608 1,554 1,457 1,429 1,352

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• 4 -

Valeurs de F ayant 2,5% de chances d’être dépassées.

n

2 n

1

1

2

3

4

5

6

8

10

12

18

24

30

50

60

120

1 647,793 799,482 864,151 899,599 921,835 937,114 956,643 968,634 976,725 990,345 997,272 1001,405 1008,098 1009,787 1014,036

2 38,506 39,000 39,166 39,248 39,298 39,331 39,373 39,398 39,415 39,442 39,457 39,465 39,478 39,481 39,489

3 17,443 16,044 15,439 15,101 14,885 14,735 14,540 14,419 14,337 14,196 14,124 14,081 14,010 13,992 13,947

4 12,218 10,649 9,979 9,604 9,364 9,197 8,980 8,844 8,751 8,592 8,511

8,461

8,381

8,360

8,309

5 10,007 8,434 7,764 7,388 7,146 6,978 6,757 6,619 6,525 6,362 6,278

6,227

6,144

6,123

6,069

6 8,813 7,260 6,599 6,227 5,988 5,820 5,600 5,461 5,366 5,202 5,117

5,065

4,980

4,959

4,904

7 8,073 6,542 5,890 5,523 5,285 5,119 4,899 4,761 4,666 4,501 4,415

4,362

4,276

4,254

4,199

8 7,571 6,059 5,416 5,053 4,817 4,652 4,433 4,295 4,200 4,034 3,947

3,894

3,807

3,784

3,728

9 7,209 5,715 5,078 4,718 4,484 4,320 4,102 3,964 3,868 3,701 3,614

3,560

3,472

3,449

3,392

10 6,937 5,456 4,826 4,468 4,236 4,072 3,855 3,717 3,621 3,453 3,365

3,311

3,221

3,198

3,140

11 6,724 5,256 4,630 4,275 4,044 3,881 3,664 3,526 3,430 3,261 3,173

3,118

3,027

3,004

2,944

12 6,554 5,096 4,474 4,121 3,891 3,728 3,512 3,374 3,277 3,108 3,019

2,963

2,871

2,848

2,787

13 6,414 4,965 4,347 3,996 3,767 3,604 3,388 3,250 3,153 2,983 2,893

2,837

2,744

2,720

2,659

14 6,298 4,857 4,242 3,892 3,663 3,501 3,285 3,147 3,050 2,879 2,789

2,732

2,638

2,614

2,552

15 6,200 4,765 4,153 3,804 3,576 3,415 3,199 3,060 2,963 2,792 2,701

2,644

2,549

2,524

2,461

16 6,115 4,687 4,077 3,729 3,502 3,341 3,125 2,986 2,889 2,717 2,625

2,568

2,472

2,447

2,383

17 6,042 4,619 4,011 3,665 3,438 3,277 3,061 2,922 2,825 2,652 2,560

2,502

2,405

2,380

2,315

18 5,978 4,560 3,954 3,608 3,382 3,221 3,005 2,866 2,769 2,596 2,503

2,445

2,347

2,321

2,256

19 5,922 4,508 3,903 3,559 3,333 3,172 2,956 2,817 2,720 2,546 2,452

2,394

2,295

2,270

2,203

20 5,871 4,461 3,859 3,515 3,289 3,128 2,913 2,774 2,676 2,501 2,408

2,349

2,249

2,223

2,156

21 5,827 4,420 3,819 3,475 3,250 3,090 2,874 2,735 2,637 2,462 2,368

2,308

2,208

2,182

2,114

22 5,786 4,383 3,783 3,440 3,215 3,055 2,839 2,700 2,602 2,426 2,332

2,272

2,171

2,145

2,076

23 5,750 4,349 3,750 3,408 3,183 3,023 2,808 2,668 2,570 2,394 2,299

2,239

2,137

2,111

2,041

24 5,717 4,319 3,721 3,379 3,155 2,995 2,779 2,640 2,541 2,365 2,269

2,209

2,107

2,080

2,010

25 5,686 4,291 3,694 3,353 3,129 2,969 2,753 2,613 2,515 2,338 2,242

2,182

2,079

2,052

1,981

26 5,659 4,265 3,670 3,329 3,105 2,945 2,729 2,590 2,491 2,314 2,217

2,157

2,053

2,026

1,954

27 5,633 4,242 3,647 3,307 3,083 2,923 2,707 2,568 2,469 2,291 2,195

2,133

2,029

2,002

1,930

28 5,610 4,221 3,626 3,286 3,063 2,903 2,687 2,547 2,448 2,270 2,174

2,112

2,007

1,980

1,907

29 5,588 4,201 3,607 3,267 3,044 2,884 2,669 2,529 2,430 2,251 2,154

2,092

1,987

1,959

1,886

30 5,568 4,182 3,589 3,250 3,026 2,867 2,651 2,511 2,412 2,233 2,136

2,074

1,968

1,940

1,866

31 5,549 4,165 3,573 3,234 3,010 2,851 2,635 2,495 2,396 2,217 2,119

2,057

1,950

1,922

1,848

32 5,531 4,149 3,557 3,218 2,995 2,836 2,620 2,480 2,381 2,201 2,103

2,041

1,934

1,905

1,831

33 5,515 4,134 3,543 3,204 2,981 2,822 2,606 2,466 2,366 2,187 2,088

2,026

1,918

1,890

1,815

34 5,499 4,120 3,529 3,191 2,968 2,808 2,593 2,453 2,353 2,173 2,075

2,012

1,904

1,875

1,799

35 5,485 4,106 3,517 3,179 2,956 2,796 2,581 2,440 2,341 2,160 2,062

1,999

1,890

1,861

1,785

40 5,424 4,051 3,463 3,126 2,904 2,744 2,529 2,388 2,288 2,107 2,007

1,943

1,832

1,803

1,724

50 5,340 3,975 3,390 3,054 2,833 2,674 2,458 2,317 2,216 2,033 1,931

1,866

1,752

1,721

1,639

80 5,218 3,864 3,284 2,950 2,730 2,571 2,355 2,213 2,111 1,925 1,820

1,752

1,632

1,599

1,508

100 5,179 3,828 3,250 2,917 2,696 2,537 2,321 2,179 2,077 1,890 1,784

1,715

1,592

1,558

1,463

120 5,152 3,805 3,227 2,894 2,674 2,515 2,299 2,157 2,055 1,866 1,760

1,690

1,565

1,530

1,433

http://odlv.free.fr

• 5 -

Valeurs de F ayant 1% de chances d’être dépassées.

n

2 n

1

1

2

3

4

5

6

8

10

12

18

24

30

50

60

120

1 4052,185 4999,340 5403,534 5624,257 5763,955 5858,950 5980,954 6055,925 6106,682 6191,432 6234,273 6260,350 6302,260 6312,970 6339,513

2 98,502 99,000 99,164 99,251 99,302 99,331 99,375 99,397 99,419 99,444 99,455

99,466

99,477

99,484

99,491

3 34,116 30,816 29,457 28,710 28,237 27,911 27,489 27,228 27,052 26,751 26,597

26,504

26,354

26,316

26,221

4 21,198 18,000 16,694 15,977 15,522 15,207 14,799 14,546 14,374 14,079 13,929

13,838

13,690

13,652

13,558

5 16,258 13,274 12,060 11,392 10,967 10,672 10,289 10,051

9,888

9,609

9,466

9,379

9,238

9,202

9,112

6 13,745 10,925

9,780

9,148

8,746

8,466

8,102

7,874

7,718

7,451

7,313

7,229

7,091

7,057

6,969

7 12,246

8 11,259

9 10,562

10 10,044

9,547

8,451

7,847

7,460

7,191

6,840

6,620

6,469

6,209

6,074

5,992

5,858

5,824

5,737

8,649

7,591

7,006

6,632

6,371

6,029

5,814

5,667

5,412

5,279

5,198

5,065

5,032

4,946

8,022

6,992

6,422

6,057

5,802

5,467

5,257

5,111

4,860

4,729

4,649

4,517

4,483

4,398

7,559

6,552

5,994

5,636

5,386

5,057

4,849

4,706

4,457

4,327

4,247

4,115

4,082

3,996

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

40

50

80

100

120

9,646

7,206

6,217

5,668

5,316

5,069

4,744

4,539

4,397

4,150

4,021

3,941

3,810

3,776

3,690

9,330

6,927

5,953

5,412

5,064

4,821

4,499

4,296

4,155

3,910

3,780

3,701

3,569

3,535

3,449

9,074

6,701

5,739

5,205

4,862

4,620

4,302

4,100

3,960

3,716

3,587

3,507

3,375

3,341

3,255

8,862

6,515

5,564

5,035

4,695

4,456

4,140

3,939

3,800

3,556

3,427

3,348

3,215

3,181

3,094

8,683

6,359

5,417

4,893

4,556

4,318

4,004

3,805

3,666

3,423

3,294

3,214

3,081

3,047

2,959

8,531

6,226

5,292

4,773

4,437

4,202

3,890

3,691

3,553

3,310

3,181

3,101

2,967

2,933

2,845

8,400

6,112

5,185

4,669

4,336

4,101

3,791

3,593

3,455

3,212

3,083

3,003

2,869

2,835

2,746

8,285

6,013

5,092

4,579

4,248

4,015

3,705

3,508

3,371

3,128

2,999

2,919

2,784

2,749

2,660

8,185

5,926

5,010

4,500

4,171

3,939

3,631

3,434

3,297

3,054

2,925

2,844

2,709

2,674

2,584

8,096

5,849

4,938

4,431

4,103

3,871

3,564

3,368

3,231

2,989

2,859

2,778

2,643

2,608

2,517

8,017

5,780

4,874

4,369

4,042

3,812

3,506

3,310

3,173

2,931

2,801

2,720

2,584

2,548

2,457

7,945

5,719

4,817

4,313

3,988

3,758

3,453

3,258

3,121

2,879

2,749

2,667

2,531

2,495

2,403

7,881

5,664

4,765

4,264

3,939

3,710

3,406

3,211

3,074

2,832

2,702

2,620

2,483

2,447

2,354

7,823

5,614

4,718

4,218

3,895

3,667

3,363

3,168

3,032

2,789

2,659

2,577

2,440

2,403

2,310

7,770

5,568

4,675

4,177

3,855

3,627

3,324

3,129

2,993

2,751

2,620

2,538

2,400

2,364

2,270

7,721

5,526

4,637

4,140

3,818

3,591

3,288

3,094

2,958

2,715

2,585

2,503

2,364

2,327

2,233

7,677

5,488

4,601

4,106

3,785

3,558

3,256

3,062

2,926

2,683

2,552

2,470

2,330

2,294

2,198

7,636

5,453

4,568

4,074

3,754

3,528

3,226

3,032

2,896

2,653

2,522

2,440

2,300

2,263

2,167

7,598

5,420

4,538

4,045

3,725

3,499

3,198

3,005

2,868

2,626

2,495

2,412

2,271

2,234

2,138

7,562

5,390

4,510

4,018

3,699

3,473

3,173

2,979

2,843

2,600

2,469

2,386

2,245

2,208

2,111

7,530

5,362

4,484

3,993

3,675

3,449

3,149

2,955

2,820

2,577

2,445

2,362

2,221

2,183

2,086

7,499

5,336

4,459

3,969

3,652

3,427

3,127

2,934

2,798

2,555

2,423

2,340

2,198

2,160

2,062

7,471

5,312

4,437

3,948

3,630

3,406

3,106

2,913

2,777

2,534

2,402

2,319

2,176

2,139

2,040

7,444

5,289

4,416

3,927

3,611

3,386

3,087

2,894

2,758

2,515

2,383

2,299

2,156

2,118

2,019

7,419

5,268

4,396

3,908

3,592

3,368

3,069

2,876

2,740

2,497

2,364

2,281

2,137

2,099

2,000

7,314

5,178

4,313

3,828

3,514

3,291

2,993

2,801

2,665

2,421

2,288

2,203

2,058

2,019

1,917

7,171

5,057

4,199

3,720

3,408

3,186

2,890

2,698

2,563

2,318

2,183

2,098

1,949

1,909

1,803

6,963

4,881

4,036

3,563

3,255

3,036

2,742

2,551

2,415

2,169

2,032

1,944

1,788

1,746

1,630

6,895

4,824

3,984

3,513

3,206

2,988

2,694

2,503

2,368

2,120

1,983

1,893

1,735

1,692

1,572

6,851

4,787

3,949

3,480

3,174

2,956

2,663

2,472

2,336

2,089

1,950

1,860

1,700

1,656

1,533

http://odlv.free.fr

• 6 -

Valeurs de F ayant 0,5% de chances d’être dépassées.

n

2 n

1

1

2

3

4

5

6

8

10

12

18

24

30

50

60

120

1 16212,463 19997,358 21614,134 22500,753 23055,822 23439,527 23923,814 24221,838 24426,728 24765,730 24937,093 25041,401 25212,765 25253,743 25358,051

2 198,503 199,012 199,158 199,245 199,303 199,332

199,376 199,390 199,419 199,449 199,449

199,478

199,478

199,478

199,492

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

40

50

80

100

120

55,552

49,800

47,468

46,195

45,391

44,838

44,125

43,685

43,387

42,881

42,623

42,466

42,211

42,150

41,990

31,332

26,284

24,260

23,154

22,456

21,975

21,352

20,967

20,705

20,258

20,030

19,892

19,667

19,611

19,469

22,785

18,314

16,530

15,556

14,939

14,513

13,961

13,618

13,385

12,985

12,780

12,656

12,454

12,402

12,274

18,635

14,544

12,917

12,028

11,464

11,073

10,566

10,250

10,034

9,664

9,474

9,358

9,170

9,122

9,001

16,235

12,404

10,883

10,050

9,522

9,155

8,678

8,380

8,176

7,826

7,645

7,534

7,354

7,309

7,193

14,688

11,043

9,597

8,805

8,302

7,952

7,496

7,211

7,015

6,678

6,503

6,396

6,222

6,177

6,065

13,614

10,107

8,717

7,956

7,471

7,134

6,693

6,417

6,227

5,899

5,729

5,625

5,454

5,410

5,300

12,827

9,427

8,081

7,343

6,872

6,545

6,116

5,847

5,661

5,340

5,173

5,071

4,902

4,859

4,750

12,226

8,912

7,600

6,881

6,422

6,102

5,682

5,418

5,236

4,921

4,756

4,654

4,488

4,445

4,337

11,754

8,510

7,226

6,521

6,071

5,757

5,345

5,085

4,906

4,595

4,431

4,331

4,165

4,123

4,015

11,374

8,186

6,926

6,233

5,791

5,482

5,076

4,820

4,643

4,334

4,173

4,073

3,908

3,866

3,758

11,060

7,922

6,680

5,998

5,562

5,257

4,857

4,603

4,428

4,122

3,961

3,862

3,697

3,655

3,547

10,798

7,701

6,476

5,803

5,372

5,071

4,674

4,424

4,250

3,946

3,786

3,687

3,523

3,480

3,372

10,576

7,514

6,303

5,638

5,212

4,913

4,521

4,272

4,099

3,797

3,638

3,539

3,375

3,332

3,224

10,384

7,354

6,156

5,497

5,075

4,779

4,389

4,142

3,971

3,670

3,511

3,412

3,248

3,206

3,097

10,218

7,215

6,028

5,375

4,956

4,663

4,276

4,030

3,860

3,560

3,402

3,303

3,139

3,096

2,987

10,073

7,093

5,916

5,268

4,853

4,561

4,177

3,933

3,763

3,464

3,306

3,208

3,043

3,000

2,891

9,944

6,987

5,818

5,174

4,762

4,472

4,090

3,847

3,678

3,380

3,222

3,123

2,959

2,916

2,806

9,829

6,891

5,730

5,091

4,681

4,393

4,013

3,771

3,602

3,305

3,147

3,049

2,884

2,841

2,730

9,727

6,806

5,652

5,017

4,609

4,322

3,944

3,703

3,535

3,239

3,081

2,982

2,817

2,774

2,663

9,635

6,730

5,582

4,950

4,544

4,259

3,882

3,642

3,474

3,179

3,021

2,922

2,756

2,713

2,602

9,551

6,661

5,519

4,890

4,486

4,202

3,826

3,587

3,420

3,125

2,967

2,868

2,702

2,658

2,546

9,475

6,598

5,462

4,835

4,433

4,150

3,776

3,537

3,370

3,075

2,918

2,819

2,652

2,609

2,496

9,406

6,541

5,409

4,785

4,384

4,103

3,730

3,492

3,325

3,031

2,873

2,774

2,607

2,563

2,450

9,342

6,489

5,361

4,740

4,340

4,059

3,687

3,450

3,284

2,990

2,832

2,733

2,565

2,522

2,408

9,284

6,440

5,317

4,698

4,300

4,020

3,649

3,412

3,246

2,952

2,794

2,695

2,527

2,483

2,369

9,230

6,396

5,276

4,659

4,262

3,983

3,613

3,376

3,211

2,917

2,759

2,660

2,492

2,448

2,333

9,180

6,355

5,239

4,623

4,228

3,949

3,580

3,344

3,179

2,885

2,727

2,628

2,459

2,415

2,300

9,133

6,316

5,204

4,590

4,195

3,918

3,549

3,314

3,149

2,855

2,697

2,598

2,429

2,385

2,269

9,090

6,281

5,172

4,559

4,166

3,889

3,521

3,286

3,121

2,828

2,670

2,570

2,401

2,356

2,240

9,049

6,248

5,141

4,531

...