In performing a two-way ANOVA for a two-factor factorial experiment,the total sum of squares,SST equals:
A)SS(1)+ SS(2)+ SSE
B)SS(1)+ SS (2)+ SS (int)
C)SS (int)+ SSE
D)SSE - SS(1)- SS(2)- SS(int)
E)SS(1)+ SS(2)+ SS(int)+ SSE

Question

Quizplus · Accepted Answer

The total sum of squares (SST) is the sum of the sum of squares (SS) for each factor (SS(1) for factor 1 and SS(2) for factor 2) plus the sum of squares for the interaction (SS(int)) and the sum of squares error (SSE). Therefore, the correct formula is SST = SS(1) + SS(2) + SS(int) + SSE, which corresponds to choice E.

In Performing a Two-Way ANOVA for a Two-Factor Factorial Experiment,the