Both and are unbiased estimates of the population variance of scores in a one-factor between-subjects analysis of variance.
A)MSTotal; MSA
B)MSTotal; MSError
C)MSA; MSError
D)SSA; SSError

Question

Quizplus · Accepted Answer

MSA (mean squares between groups) estimates the variance due to the factor being investigated, while MSError (mean squares error) estimates the variance within groups or the error variance. Both are unbiased estimates of the population variance, with MSA being unbiased under the alternative hypothesis and MSError being unbiased under the null hypothesis. MSTotal, on the other hand, is the sum of MSA and MSError and estimates the total variability in the data. SSA (sum of squares between groups) and SSError (sum of squares error) are not estimates of the population variance and therefore cannot be used as unbiased estimates.

Both and Are Unbiased Estimates of the Population Variance of Scores