Definition:Between-Treatments Sum of Squares

Definition

Between-treatments sum of squares is a technique in analysis of variance.

It is defined as:

what the sum of squares of deviations from the mean would have been if the response for each experimental unit had been equal to the mean response for all units receiving that treatment.

It is obtained by dividing the sum of squares by the number of degrees of freedom.

Also see

• Definition:Error Sum of Squares

• Results about between-treatments sum of squares can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): analysis of variance (ANOVA)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): analysis of variance (ANOVA)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): between-treatments sum of squares