In a two-factor between-subjects analysis of variance, if SSTotal is 1000, SSA is 100, SSB is 200, SSA × B is 300 and SSError is 400, then η2 for factor B = and η2 for the interaction of factors A and B is.
A).30; .20
B).20; .30
C).50; .75
D).75; .50

Question

Quizplus · Accepted Answer

First, we need to calculate the sum of squares due to factors A and B, as well as the interaction between A and B:

SSA+B = SSTotal - SSError = 1000 - 400 = 600

Next, we can calculate the proportion of variance accounted for by factor B:

SSB / SSTotal = 200 / 1000 = 0.2

So η2 for factor B is 0.2.

Finally, we can calculate the proportion of variance accounted for by the interaction between A and B:

SSA×B / SSTotal = 300 / 1000 = 0.3

So η2 for the interaction of factors A and B is 0.3.

Therefore, the correct answer is B: 0.2 for factor B and 0.3 for the interaction of factors A and B.

In a Two-Factor Between-Subjects Analysis of Variance, If SSTotal Is