This question refers to the U.S. News & World Report mutual fund data presented in Problem 19 in Chapter 17. The variables described in that question were:
CAT (fund category):
1 = Aggressive growth; 2 = Long-term growth; 3 = Growth and income; 4 = Income.
LOAD (load status):
N = No load; L = Load.
VOL (volatility):
A letter grade from A+ to F indicating how much the month-to-month return varied from the fund's three-year total return: A+ = Least variability; F = Most variability.
OPI (Overall Performance Index):
A measure of the relative performance of each fund over the past 1, 3, 5, and 10 years.
a. Suppose that a two-way ANOVA is to be performed, with OPI as the dependent variable and fund category (CAT) and load status (LOAD) as the two factors. State precisely the ANOVA model. Are the factors fixed or random?
b. In the SAS output that follows, complete the ANOVA table.
c. Analyze the data to determine whether there are significant main effects due to fund category and load status and whether these factors significantly interact.