In an analysis of variance, when the null hypothesis is true, then all of the following are true EXCEPT:
A)occasionally an F ratio will be significant anyway
B)within-group and between-group variances are estimating the same population variance
C)the F ratio will generally be significantly larger than 1
D)the variance between samples is due entirely to random sampling variance

Question

Quizplus · Accepted Answer

When the null hypothesis is true, the F ratio should not be significantly larger than 1. Choice A is incorrect because even if the null hypothesis is true, there is still a chance for a Type I error. Choice B is correct because ANOVA assumes that the within-group and between-group variances estimate the same population variance. Choice D is incorrect because the variance between samples could also be because of other factors such as measurement error or systematic differences between groups.

In an Analysis of Variance, When the Null Hypothesis Is