Chapter 13, Problem 27P

For either independent-measures or repeated-measures designs comparing two treatments, the mean difference can be evaluated with either a t test or an ANOVA. The two tests are related by the equation $F=t^2$ . For the following data,

a. Use a repeated-measures s test with $\alpha =.05$ to determine whether d mean difference between treatments is statistically significant.

b. Use a repeated-measures ANOVA with $\alpha =.05$ to determine whether mean difference between treatments is statistically significant. (You should find that $F=t^2$ .)

Subject	Treatment 1	Treatment 2	Difference
A	4	7	3
B	2	11	9
C	3	6	3
D	7	10	3
	$M=4$	$M=8.5$	$M_D=4.5$
	$T=16$	$T=34$
	$SS=14$	$SS=17$	$SS=27$