Hout, Duncan, and Sobel (1987) reported data on the relative sexual satisfaction of married couples. They asked each member of 91 married couples to rate the degree to which they agreed with “Sex is fun for me and my partner” on a four-point scale ranging from “never or occasionally” to “almost always.” The data appear below:
a. How would you go about analyzing these data? Remember that you want to know more than just whether or not the two ratings are independent. Presumably you would like to show that as one spouse’s ratings go up, so do the other’s, and vice versa.
b. Use both Pearson’s chi-square and the likelihood ratio chi-square.
c. What does Cramér’s V offer?
d. What about odds ratios?
e. What about kappa?
f. Finally, what if you combined the Never and Fairly Often categories and the Very Often and Almost Always categories? Would the results be clearer, and under what conditions might this make sense?
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