The t value that you obtain in Exercise 14.1 will be somewhat smaller than the t value from Exercise 13.1. Why should we have anticipated this?

Exercise 14.1

In Exercise 13.1 we had paired data because we had a response from both the husband and the wife within a married couple. Suppose that instead of using married couples we just took a large group of people and asked them to what extent they endorsed the statement “Sex is fun for me and my partner” on a four-point scales ranging from “never or occasionally” to “almost always.” We then sorted the data on the basis of the gender of the respondent. We could conceivably get the data we had in Exercise 13.1, though without the pairing.

Analyze the data in Exercise 13.1 as if they had been collected from independent groups.

What would you conclude?

Exercise 13.1

Hout, Duncan, and Sobel (1987) reported 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 (I know it’s a lot of data, but it’s an interesting question, and the data can always be downloaded from the book’s website.):

Transcribed Image Text:

Husband Wife 1 Husband 12 1 2 2 2 2 2 2 2 3 13 Wife ||||22 2 2 2 2 2 2 2 2 2 3 4 4 4 1 1 2 2 2 2 2 2 2 2 3 Husband 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 1 2 2 2 2 2 Wife Wife Husband 333333333333344 3 3 3 3 4 4 4 4 4 4 4 4 411 Husband 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 333 Wife Husband Wife 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4