Which of the following correctly describes the treatment sum of squares in one-way ANOVA?
A) It equals the sum of the squared deviations between each treatment sample mean and the grand mean, multiplied by the number of observations made for each treatment.
B) It equals the sum of the square deviations between each block sample mean and the grand mean, multiplied by the number of observations made for each block, multiplied by the number of observations per cell.
C) It equals the number of rows (or columns) multiplied by the sum of the squared deviations of the column-block sample means from the grand mean.
D) It equals the number of columns (or rows) multiplied by the sum of the squared deviations of the row-block sample means from the grand mean.
E) None of these.

Question

Quizplus · Accepted Answer

The treatment sum of squares measures the variability between the sample means of different treatments. It is the sum of the squared deviations between each treatment sample mean and the grand mean, multiplied by the number of observations made for each treatment. This quantifies the differences between the treatment groups and the overall variability between the groups. Options B, C, and D refer to different components of the ANOVA table, but do not accurately describe the treatment sum of squares.

Which of the Following Correctly Describes the Treatment Sum of Squares