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Chapter 9: Q19E (page 542)
Refer to Exercises 9.17 and 9.18. Complete the following ANOVA table for each of the two dot plots:
The F-ratio for dot plot #1 is 37.5 and for dot plot #2 is 5.21
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Mixed gender decision-making groups. In business, a group of executives is often assigned to make key decisions. The American Journal of Political Science (April 2014) published a study on a woman鈥檚 impact on mixed-gender deliberating groups. The researchers randomly assigned subjects to one of several 5-member decision-making groups. The
groups鈥� gender composition varied as follows: 0 females, 1 female, 2 females, 3 females, 4 females, or 5 females. Each group was then randomly assigned to utilize one of two types of decision rules: unanimous or majority rule. Ten groups were created for each of the 6 * 2 = 12 combinations of gender composition and decision rule. One variable
of interest, measured for each group, was the number of words spoken by women on a certain topic per 1,000 total words spoken during the deliberations.
a. Why is this experiment considered a designed study?
b. Identify the experimental unit and dependent variable in this study.
c. Identify the factors for this study. Give the levels of each factor.
d. How many treatments are in this study? List them.
Accounting and Machiavellianism. A study of Machiavellian traits in accountants was published in Behavioral Research in Accounting (January 2008). Recall (from Exercise 1.33, p. 52) that Machiavellian describes negative character traits such as manipulation, cunning, duplicity, deception, and bad faith. A Mach rating score was determined for each in a sample of accounting alumni of a large southwestern university. The accountants were then classified as having high, moderate, or low Mach rating scores. For one portion of the study, the researcher investigated the impact of both Mach score classification and gender on the average income of an accountant. For this experiment, identify each of the following:
a. Experimental unit
b. Response variable
c. Factors
d. Levels of each factor
e. Treatments
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.
Suppose you conduct a 4 * 3 factorial experiment.
a. How many factors are used in the experiment?
b. Can you determine the factor type(s)鈥攓ualitative or quantitative鈥攆rom the information given? Explain.
c. Can you determine the number of levels used for each factor? Explain.
d. Describe a treatment for this experiment and determine the number of treatments used.
e. What problem is caused by using a single replicate of this experiment? How is the problem solved?
Evaluation of flexography printing plates. Refer to the Journal of Graphic Engineering and Design (Vol. 3, 2012) study of the quality of flexography printing, Exercise 9.24 (p. 544). Recall that four different exposure times were studied鈥�8, 10, 12, and 14 minutes鈥攁nd that the measure of print quality used was dot area (hundreds of dots per square millimeter). Tukey鈥檚 multiple comparisons procedure (at an experimentwise error rate of .05) was used to rank the mean dot areas of the four exposure times. The results are summarized below. Which exposure time yields the highest mean dot area? Lowest?
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