So ourF-test result is corrected fromF(2,10)= 12.534,p= .002 toF(1.277,6.384)= 12.534,p= .009 (degrees of freedom are slightly different due to rounding). The correction has elicited a more accurate significance value. It has increased thep-value to compensate for the fact that the te...
1 andν 2= (A?1)(S?1) degrees of freedom. In addition to the usual assumptions of normality of the error and homogeneity of variance, theFtest for repeated measurement designs assumes a condition called“sphericity.”(Huynh & Feldt, 1970; & L′epine, 1970). Intuitively, this condition ...
andhomogeneityofvariance,theFtestforrepeatedmeasurement designsassumesaconditioncalled“sphericity.”(Huynh&Feldt, 1970;Rouanet&L´epine,1970).Intuitively,thisconditionindicates thattherankingofthesubjectsdoesnotchangeacrossexperimental treatment.Thisisequivalenttostatingthatthepopulationcorrela- tion(computedformthe...
the sampling distribution of this F ratio is a Fisher distributionwith ν 1 = A − 1 and ν 2 = (A − 1)(S − 1) degrees of freedom.In addition to the usual assumptions of normality of the errorand homogeneity of variance, the F test for repeated measurementdesigns assumes a co...
This article establishes that the dispersion structure which guarantees that the subplot test ratio has an F distribution for complete data applies to incomplete data as well.doi:10.1080/01621459.1978.10481588Neil C. SchwertmanTaylor & Francis GroupPublications of the American Statistical Association...
The Greenhouse-Geisser epsilon value measures by how much the sphericity assumption is violated. Epsilon is then used to adjust for the potential bias in the F statistic. Epsilon can be 1, which means that the sphericity assumption is met perfectly. An epsilon smaller than 1 means that the sp...