In One-Way Analysis of Variance, If All the Sample Means

question 27

Short Answer

In one-way analysis of variance, if all the sample means are equal, then the: $\begin{array}{|l|l|}\hline A.&\text { total sum of squares is zero.}\\\hline B.&\text { sum of squares for error is zero.}\\\hline C.&\text {sum of squares for treatments is zero. }\\\hline D.&\text { sum of squares for error equals sum of squares for treatments.}\\\hline \end{array}$

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Definitions:

F-Ratio

The ratio of two variances that is used in analysis of variance (ANOVA) to test the equality of means among several groups.

Squared Deviation

The square of the difference between an observed value and the mean of a data set, used in variance calculations.

Positive Number

A real number that is greater than zero.

Scheffé Test

A statistical test for comparing all possible pairs of means in a set of groups, typically following ANOVA, to determine if they are significantly different.