Question

The between-treatments variance is based on a weighted sum of squared differences between the ____________________________________________________. population variances and the overall mean of the data set population means and the overall mean of the data set sample means and the overall mean of the data set sample variances and the overall mean of the data set

Answer 1

Sample means and the grand mean

Explanation:

The total sum of squares present in the sample can be partitioned into two parts.

1) Within sum of squares ( also called error sum of squares)

2) Between sum of squares

The first part is the sum of squares of deviations of the observations from the sample mean and is called the within sum of squares ( also called error sum of squares).

The second part is the weighted sum of the square of deviations of the sample means from the grand mean and is called between sum of squares.

Thus symbolically

Totastal SS = Within SS + Between SS