An experiment was conducted to compare the effectiveness of three pain relievers. A one-way ANOVA was performed,
Question:
An experiment was conducted to compare the effectiveness of three pain relievers. A one-way ANOVA was performed, and SSA and SSA/S were calculated. During the data collection, the gender of the participants was recorded. The researcher would like to try to include gender as the second factor (factor B) and perform a factorial ANOVA. With the same data set and assuming a balanced design, SSA, SSB, SSAB, and SSS/AB were calculated. Which of the following is true?
Select one:
a. SSA calculated in one-way ANOVA is larger than the SSA calculated in the two-way ANOVA
b. SSA calculated in the one-way ANOVA is smaller than the SSA calculated in the two-way ANOVA
c. SSA in the one-way ANOVA is the same as the SSA calculated in the two-way ANOVA
d. This cannot be determined with the information given.