1.3.6.7.3. Upper Critical Values of the F Distribution | f distribution critical values r
HowtoUseThisTableThistablecontainstheuppercriticalvaluesoftheFdistribution.Thistableisusedforone-sidedFtestsattheα=0.05,0.10,and0.01levels.Morespecifically,ateststatisticiscomputedwithν1andν2degreesoffreedom,andtheresultiscomparedtothistable.Foraone-sidedtest,thenullhypothesisisrejectedwhentheteststatisticisgreaterthanthetabledvalue.ThisisdemonstratedwiththegraphofanFdistributionwithν1=10andν2=10.Theshadedareaofthegraphindicatestherejectionregionattheαsignificancelevel.Sincethisisaone-sidedt...
How to Use This Table This table contains the upper critical values of the F distribution. This table is used for one-sided F tests at the α = 0.05, 0.10, and 0.01 levels.More specifically, a test statistic is computed with ν1 and ν2 degrees of freedom, and the result is compared to this table. For a one-sided test, the null hypothesis is rejected when the test statistic is greater than the tabled value. This is demonstrated with the graph of an F distribution with ν1 = 10 and ν2 = 10. The shaded area of the graph indicates the rejection region at the α significance level. Since this is a one-sided test, we have α probability in the upper tail of exceeding the critical value and zero in the lower tail. Because the F distribution is asymmetric, a two-sided test requires a set of of tables (not included here) that contain the rejection regions for both the lower and upper tails.
[1] References F distribution (www.itl.nist.gov)