For a two-factor study with two levels of factor A,two levels of factor B,and a separate sample of n = 10 participants in each treatment condition,the two means for level A1 are 4 and 1,and the two means for level A2 are 3 and 2.For these data,what is the value of SS_{between treatments}? A)10 B)40 C)50 D)300

Question

Quizplus · Accepted Answer

The SS_between treatments is calculated by finding the sum of squares of the differences between each treatment mean and the grand mean, multiplied by the number of participants in each treatment. The grand mean is (4+1+3+2)/4 = 2.5. The SS_between treatments = 10[(4-2.5)² + (1-2.5)² + (3-2.5)² + (2-2.5)²] = 50.

​For a Two-Factor Study with Two Levels of Factor A,two

For a Two-Factor Study with Two Levels of Factor A,two