Use the HSB data set to answer the following questions on a three-factor ANOVA. Consider the reading scores (RDG) as the dependent variable and SES, RACE, and SEX as factors.

(a) Test for significance of three-way interactions. Use ? = .05.

(b) Test for significance of two-way interactions. Use ? = .05.

Can you walk me though how you got the answer so I understand how to interpret the data?

Sum of Source DF Squares Mean Square F Value Pr > F Model 23 10145.74560 441.11937 4.98 <.0001 error corrected total r-square coeff var root mse rdg mean source df type i ss square f value pr> F SES 2 5329.304906 2664.652453 30.10 <.0001 race sex source df type iii ss mean square f value pr> F SES 2207.064197 1103.532098 12.46 <.0001 race sex>