Consider a factorial ANOVA that analyzes self esteem scores. Three different ages participate: 20 year-olds, 40 year-olds, and 60 year-olds. In addition, each age group is divided into those who have above a median income and those who have below a median income. The researchers concluded that the differences in self esteem scores of the different age groups did not depend on a person's income. The summary table for the factorial ANOVA would certainly show that there was
A) no main effect for age
B) no main effect for income
C) no interaction
D) all of the other alternatives are correct.

Question

Quizplus · Accepted Answer

The conclusion that differences in self-esteem scores among different age groups did not depend on a person's income indicates that there was no interaction effect between age and income in the factorial ANOVA. This means the effect of one factor (age) on self-esteem scores does not change across levels of the other factor (income).

Consider a Factorial ANOVA That Analyzes Self Esteem Scores