Question

A researcher is interested in investigating potential differences in intelligence among members of different sports/activity teams in high school. Specifically, the researcher is interested in differences in intelligence among Chess Team, Soccer Team, and Football Team members. To this end, the researcher gathered intelligence test (IQ) data on a random sample of chess, soccer, and football team members. The data collected for this study reside in the table below. Perform a one-way ANOVA to determine if significant differences in intelligence exist among the three teams. Please show all work for hand calculations.

Chess	Soccer	Football
113	103	100
116	108	102
115	109	103
115	102	96
125	104	98
130	109	99

5. Enter the data into SPSS and check your hand calculations. Please attach all relevant output.

6. Is the assumption that the distribution of the dependent variable is normal upheld? How do you know?

7. Is the assumption of homogeneity of variance met in this analysis? How do you know?

8. Let’s assume that in the planning phases of this study the researcher was primarily interested in comparing the Chess team to the Soccer team and the Chess team to the Football team. Use SPSS to evaluate these a priori contrasts.

a. Is the difference in IQ between the Chess team and the Soccer team statistically significant? How do you know?

b. Is the difference in IQ between the Chess team and the Football team statistically significant? How do you know?

Answer 1