Make up a data set for a 2x4x2 ANOVA with 2 subjects/cell. Do the analysis. Show all calculations. Write

Make up a data set for a 2x4x2 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 the main effects and interactions. Graph and explain the second – order interaction. MAKE A SUMMARY TABLE.
Using the data from #1, collapse across the C factor. Test both sets of simple 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.
Correlation: you will need data for 3 levels of X. use a minimum of n=5. Work out the intercorrelations. Do the r, r2 and 1-r2, SS/CP and var/cov matrices. Use the computational and definitional formulas to calculate r13.2. MAKE SURE YOU GET CLOSE TO THE SAME r13.2 USING BOTH METHODS.
Determinant: Using the X1 and X2 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 regressions weights bares more weight? Use the other method to verify that your calculations are correct.
Make up a data for Chi-Square test (minimum of 3 categories). Perform a test of independence.

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