14.33 Attractiveness and getting dates The results in the table are from a study of physical attractiveness and subjective well-being (E. Diener et al., Journal of Personality and Social Psychology, vol. 69, 1995, pp. 120–129). A panel rated a sample of college students on their physical attractiveness.

The table presents the number of dates in the past three months for students rated in the top or bottom quartile of attractiveness.

a. Identify the response variable and the factors.

b. Do these data appear to show interaction? Explain.

c. Based on the results in the table, specify one of the ANOVA assumptions that these data violate. Is this the most important assumption?

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Dates and attractiveness Number of DATES, Number of DATES, MEN WOMEN ATTRACTIVENESS Mean Std. Dev n Mean Std. Dev n More Less 9.7 9.9 10.0 35 17.8 12.6 36 10.4 14.2 33 16.6 27