Chapter 14, Problem 20P

The following data are from a ro-factor study examining the effects of two treatment conditions on males and females.

a. Use an ANOVA with $\alpha =.05$ for all tests to evaluate the significance of the main effects and the interaction.

b. Compute ${\eta }^2$ to measure the size of the effect for each main effect and the interaction.

Treatments
		I	II

Factor A:

Gender

Male3

   $M=6$

   $T=24$

   $SS=26$2 8 7 7    $M=6$

   $T=24$

   $SS=22$
   $T_{\text{male}}\text{=48}$

Female0

   $M=2$

   $T=8$

   $SS=24$12 6 9 13 

   $M=10$

   $T=40$

   $SS=30$
   $N=16$

   $G=96$

   ${\displaystyle \sum X^2}=806$

   $T_{\text{female}}\text{=48}$
   $T_1=32$
   $T_2=64$