Developmental psychologists study children at different ages. In this study, the children were tested three times, at ages 10, 11 and 12. At each age, they worked a set of 25 logic problems. The scores below represent percentage correct on the set of 25 problems. The higher the score, the better understanding of logic. Using Alpha level of .05, Calculate a repeated-measures ANOVA, Tukey HSD tests, and write an interpretation in the order provided below. Remember to identify what is given and calculate what you need

Age

Child 10 yrs 11yrs 12 yrs

1 0 8 40

2 8 16 36

3 14 24 36

4 18 25 48

Sum 40 73 160

1. What is the null and alternate hypothesis (use stat symbols) label each
2. Show all sums necessary for calculations
3. What are critical values for F and HSD at both .05 and .01 levels of the alpha
4. What is the Independent and Dependent Variable - label each
5. Complete the ANOVA summary table. Must label and show calculation for each for credit
6. Calculate f
7. Calculate HSD and d (all 3 each)
8. Write out your interpretations (6 points). Remember to begin with reject or fail to reject null. Tip: about 3 statements for the F and f and about statements for HSD and d. Don't forget the stat symbols
9. Type I or II error