Re: Fisher's exact test for time allocation data
- From: "Ray Koopman" <koopman@xxxxxx>
- Date: 13 Jul 2006 15:19:29 -0700
Bruce Weaver wrote:
Ray, apart from there being more categories, isn't this the same as
Example 1 in the Shaffer (1981) paper you've pointed to in the past
(reference below)? In that example, faculty members report the
proportions of time spent in teaching, research and administration.
Faculty members are sorted into groups by discipline (rather than
male/female), and the recommended approach is to have all 3 proportions
(summing to 1) as repeated measures in a mixed design ANOVA (with
discipline as the between-Ss factor).
Shaffer, JP. Journal of the American Statistical Association, Vol. 76,
No. 375 (Sep., 1981), 607-611. [available through JSTOR]
Yes, this is exactly the kind of data that Shaffer's paper is about.
To check for overall differences between the groups, he should look
at the Groups x Categories F-test in the anova. To check a specific
category, he should do a t-test (or a one-way anova, if there are
more than two groups) on the proportions for that category.
.
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