(In some of the exercises that follow, we must

Chapter 9, Problem 8E

(choose chapter or problem)

There is another way of looking at Exercise 9.3-6, namely, as a two-factor analysis-of-variance problem with the levels of gender being female and male, the levels of age being less than 50 and at least 50, and the measurement for each subject being their cholesterol level. The data would then be set up as follows:

(a) Test \(H_{A B}: \gamma_{i j}=0, i=1,2 ; j=1,2\) (no interaction).

(b) Test \(H_{A}: \alpha_{1}=\alpha_{2}=0\) (no row effect).

(c) Test \(H_{B}: \beta_{1}=\beta_{2}=0\) (no column effect). Use a \(5 \%\) significance level for each test.

Equation Transcription:

Text Transcription:

H_AB:gamma_ij=0,i=1,2;j=1,2

H_A:beta_1=alpha_2=0

H_B:beta_1= alpha_2=0    

5%