Chapter 9: Q37E (page 552)
Define a comparison-wise error rate.
The probability of a Type I error set by the experimenter for evaluating each comparison is called the comparison-wise error rate.
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What is the difference between a one-way ANOVA and atwo-way ANOVA?
Corporate sustainability and firm characteristics. Refer to the Business and Society (March 2011) study on how firm size and firm type impact corporate sustainability behaviors, Exercise 1.28 (p. 51). Certified Public Accountants (CPAs) were surveyed on their firms’ likelihood of reporting sustainability policies (measured as a probability between 0 and 1). The CPAs were divided into four groups depending on firm size (large or small) and firm type (public or private): large/public, large/private, small/ public, and small/private. One goal of the analysis was to determine whether the mean likelihood of reporting sustainability policies differs depending on firm size and firm type. Identify each of the following elements for this study:
a. Experimental units
b. Response variable
c. Factor(s)
d. Factor levels
e. Treatments
Refer to Exercises 9.17 and 9.18. Complete the following ANOVA table for each of the two dot plots:
Study of mutual fund performance. Mutual funds are classified as large-cap funds, medium-cap funds, or small-cap funds, depending on the capitalization of the companies in the fund. Hawaii Pacific University researchers investigated whether the average performance of a mutual fund is related to capitalization size (American Business Review, January 2002). Independent random samples of 30 mutual funds were selected from each of the three fund groups, and the 90-day rate of return was determined for each fund. The data for the 90 funds were subjected to an analysis of variance, with the results shown in the ANOVA summary table below.
a. State the null and alternative hypotheses for the ANOVA.
Value perceptions of consumers (cont’d). Refer to Exercise 9.10. In addition to the factor, Type of advertisement
(within-store price promotion and between-store price promotion), the researchers also investigated the impact of a second factor—Location where ad is read (at home or in the store). About half of the consumers who
were assigned to the within-store price promotion read the ad at home, and the other half read the ad in the store. Similarly, about half of the consumers who were assigned to the between-store price promotion read the ad at home, and the other half read the ad in the store. In this second
experiment, the goal was to compare the average discount values of the groups of consumers created by combining Type of advertisement with Location.
a. How many treatments are involved in this experiment?
b. Identify the treatments.
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