In this assignment, you will use SPSS to accurately compute factorial ANOVA. Specifically, you will practice calculation of statistical power, estimate effect size for factorial ANOVA, and discuss factors that affect the size of sums of squares and F ratios in factorial ANOVA. You will also support calculations and interpretations with appropriately selected tables and graphs. Finally, you will construct a narrative of your conclusions that includes the data description, screening, analysis, and interpretation of results.

Do the following analysis using the hypothetical data provided in the Table 13.4 on page 545 of the Warner text (as always, you need to create an SPSS data file and name it u03a1.sav ). In this imaginary experiment, participants were randomly assigned to receive either no caffeine (1) or 150 mg of caffeine (2); and to a no exercise condition (1) or half an hour of exercise on a treadmill (2). The dependent variable was heart rate in beats per minute.

1. Graph the distribution of HR scores (as a histogram). Is this distribution reasonably normal? Are there any outliers?
2. Compute the row, column, and grand means by hand. Set up a table that shows the mean and n for each group in this design.
3. Calculate the alpha, beta, and alpha-beta effect estimates and report these in a table (similar to Table 13.5 in your Warner text).
4. Comment on the pattern of effects in the table you reported in question #3. Do you see any evidence of possible main effects or interactions?
5. Set up an SPSS worksheet that breaks each score down into components, like the spreadsheet shown in Table 13.4 on page 545 of your Warner text.
6. Sum the squared effects in the spreadsheet you just created to find your estimates for SS _A (main effects of caffeine), SS _B (main effects of exercise), and SS _{A x B} (interaction between caffeine and exercise).
7. Run a factorial ANOVA using the SPSS GLM procedure. Verify that the values of the SS terms in the SPSS GLM printout agree with the SS values you obtained from your spreadsheet. Make sure that you request cell means, a test of homogeneity of variance, and a plot of cell means (as in the example in Chapter 13).
8. What null hypothesis is tested by the Levene statistic? What does this test tell you about possible violations of an assumption for ANOVA?
9. Write up a results section. What conclusions would you reach about possible effects of caffeine and exercise on heart rate? Is there any indication of an interaction?

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