1. Make up a data set for a 2 x 4 x 2 ANOVA with 2 subjects/cell. Do the analysis. Show all calculations. Write out the reject/fail to reject statements as if for publication for all main effects and interactions. Graph and explain the second-order interaction. MAKE A
   SUMMARY TABLE! (30 points)
2. Using the data from #1, collapse across the C factor. Test both sets of simples effects.
   Check your math by showing that each set sums to that which it should (additivity
   principle). It is advisable to work out the 2-way ANOVA to check your math. (10 points)

3) Correlation: You will need data for 3 levels of X. Use a minimum of n = 5. Work out the intercorrelations. Do the r, r ² , and 1 - r ² , SS/CP and var/cov matrices. Use the computational and definitional formulas to calculate r 13 . 2. MAKE SURE YOU GET CLOSE TO THE SAME r13 .2 USING BOTH METHODS. (30 points)

4) Determinant: Using the Xi and Xi values from #3, designate X3 as Y. Find

bi, b2, and a. Use the determinant method to find the standardized regression weights. Which of the standardized regression weights bares more weight? Use the other method to verify that your calculations are correct. (20 points)

5) Make up data for a Chi-Square test (minimum of 3 categories). Perform a Test of
Independence (the third one we did.) (10 points)

Extra Credit 10 points: Make up a date set to use calculate the value of a Phi Coefficient. Identify the variables. Use both methods (Pearson and a 2 x 2 contingency table) to verify your calculation.

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