In an analysis of variance,what is measured by the MS values?
A)sample variances
B)population variance
C)the average distance from one mean to another
D)the total variability for the set of N scores

Question

In an analysis of variance,what is measured by the MS values?​
A)​sample variances
B)​population variance
C)​the average distance from one mean to another
D)​the total variability for the set of N scores

Quizplus · Accepted Answer

MS stands for Mean Square, which is calculated by dividing the sum of squares by the degrees of freedom. In an ANOVA, there are two types of mean squares: the mean square between groups (MSb), which measures the variance between group means, and the mean square within groups (MSw), which measures the variance within each group. Both MSb and MSw are estimates of the population variance, but MSw is based on the error or residual variance, while MSb is based on the variance due to group differences. Therefore, MS values measure sample variances, specifically the variance between group means (MSb) and the variance within each group (MSw).

In an Analysis of Variance,what Is Measured by the MS