Dr. Mark Paradis

La table de la distribution F

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Ce que donne ce tableau. La valeur critique de la queue droite F* de la distribution F, utilisée en analyse de variance et dans les tests comparant deux variances.

Comment utiliser ce tableau

La distribution F a deux paramètres de degrés de liberté, et l’ordre compte. ddl1 (en haut) est celui du numérateur — en ANOVA, le terme intergroupe. ddl2 (à gauche) est celui du dénominateur, le terme intragroupe.

Les lire dans le mauvais sens donne un nombre plausible qui est simplement la mauvaise valeur critique, et rien dans le résultat n’aura l’air anormal.

La ligne ∞ donne les valeurs limites lorsque ddl2 croît sans borne.

Cette page est générée par R/export_stattables_html.R directement à partir des fonctions de quantiles de R, et chaque valeur imprimée dans le livre a été revérifiée avec les mêmes fonctions au moment de sa rédaction. Ne pas modifier cette page à la main : corriger le générateur.

α = 0,05

Valeurs critiques de la queue droite de F a alpha = 0,05.
ddl212345678910121520
1161,45199,50215,71224,58230,16233,99236,77238,88240,54241,88243,91245,95248,01
218,5119,0019,1619,2519,3019,3319,3519,3719,3819,4019,4119,4319,45
310,139,559,289,129,018,948,898,858,818,798,748,708,66
47,716,946,596,396,266,166,096,046,005,965,915,865,80
56,615,795,415,195,054,954,884,824,774,744,684,624,56
65,995,144,764,534,394,284,214,154,104,064,003,943,87
75,594,744,354,123,973,873,793,733,683,643,573,513,44
85,324,464,073,843,693,583,503,443,393,353,283,223,15
95,124,263,863,633,483,373,293,233,183,143,073,012,94
104,964,103,713,483,333,223,143,073,022,982,912,852,77
114,843,983,593,363,203,093,012,952,902,852,792,722,65
124,753,893,493,263,113,002,912,852,802,752,692,622,54
134,673,813,413,183,032,922,832,772,712,672,602,532,46
144,603,743,343,112,962,852,762,702,652,602,532,462,39
154,543,683,293,062,902,792,712,642,592,542,482,402,33
164,493,633,243,012,852,742,662,592,542,492,422,352,28
174,453,593,202,962,812,702,612,552,492,452,382,312,23
184,413,553,162,932,772,662,582,512,462,412,342,272,19
194,383,523,132,902,742,632,542,482,422,382,312,232,16
204,353,493,102,872,712,602,512,452,392,352,282,202,12
214,323,473,072,842,682,572,492,422,372,322,252,182,10
224,303,443,052,822,662,552,462,402,342,302,232,152,07
234,283,423,032,802,642,532,442,372,322,272,202,132,05
244,263,403,012,782,622,512,422,362,302,252,182,112,03
254,243,392,992,762,602,492,402,342,282,242,162,092,01
264,233,372,982,742,592,472,392,322,272,222,152,071,99
274,213,352,962,732,572,462,372,312,252,202,132,061,97
284,203,342,952,712,562,452,362,292,242,192,122,041,96
294,183,332,932,702,552,432,352,282,222,182,102,031,94
304,173,322,922,692,532,422,332,272,212,162,092,011,93
404,083,232,842,612,452,342,252,182,122,082,001,921,84
604,003,152,762,532,372,252,172,102,041,991,921,841,75
1203,923,072,682,452,292,182,092,021,961,911,831,751,66
∞3,843,002,602,372,212,102,011,941,881,831,751,671,57

α = 0,01

Valeurs critiques de la queue droite de F a alpha = 0,01.
ddl212345678910121520
14 052,184 999,505 403,355 624,585 763,655 858,995 928,365 981,076 022,476 055,856 106,326 157,286 208,73
298,5099,0099,1799,2599,3099,3399,3699,3799,3999,4099,4299,4399,45
334,1230,8229,4628,7128,2427,9127,6727,4927,3527,2327,0526,8726,69
421,2018,0016,6915,9815,5215,2114,9814,8014,6614,5514,3714,2014,02
516,2613,2712,0611,3910,9710,6710,4610,2910,1610,059,899,729,55
613,7510,929,789,158,758,478,268,107,987,877,727,567,40
712,259,558,457,857,467,196,996,846,726,626,476,316,16
811,268,657,597,016,636,376,186,035,915,815,675,525,36
910,568,026,996,426,065,805,615,475,355,265,114,964,81
1010,047,566,555,995,645,395,205,064,944,854,714,564,41
119,657,216,225,675,325,074,894,744,634,544,404,254,10
129,336,935,955,415,064,824,644,504,394,304,164,013,86
139,076,705,745,214,864,624,444,304,194,103,963,823,66
148,866,515,565,044,694,464,284,144,033,943,803,663,51
158,686,365,424,894,564,324,144,003,893,803,673,523,37
168,536,235,294,774,444,204,033,893,783,693,553,413,26
178,406,115,184,674,344,103,933,793,683,593,463,313,16
188,296,015,094,584,254,013,843,713,603,513,373,233,08
198,185,935,014,504,173,943,773,633,523,433,303,153,00
208,105,854,944,434,103,873,703,563,463,373,233,092,94
218,025,784,874,374,043,813,643,513,403,313,173,032,88
227,955,724,824,313,993,763,593,453,353,263,122,982,83
237,885,664,764,263,943,713,543,413,303,213,072,932,78
247,825,614,724,223,903,673,503,363,263,173,032,892,74
257,775,574,684,183,853,633,463,323,223,132,992,852,70
267,725,534,644,143,823,593,423,293,183,092,962,812,66
277,685,494,604,113,783,563,393,263,153,062,932,782,63
287,645,454,574,073,753,533,363,233,123,032,902,752,60
297,605,424,544,043,733,503,333,203,093,002,872,732,57
307,565,394,514,023,703,473,303,173,072,982,842,702,55
407,315,184,313,833,513,293,122,992,892,802,662,522,37
607,084,984,133,653,343,122,952,822,722,632,502,352,20
1206,854,793,953,483,172,962,792,662,562,472,342,192,03
∞6,634,613,783,323,022,802,642,512,412,322,182,041,88