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CRGreathouse

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I'm looking at n = 77 returned surveys which come from a population of size 627. (At the moment I'm assuming that response is uncorrelated with the answers; it's actually somewhat reasonable in this case, and I don't have the background I'd need to assume otherwise!)

Each survey contains count data: I have

[ ] 0

[ ] 1

[ ] 2

[ ] 3

*foo*s (for various

*foo*). From this I can of course determine the number of

*foo*s in the sample, and the BLUE for the total across the population. But what sort of distribution should I use to determine a (say) 90% confidence range? I was toying with misusing a Poisson model here (each respondent acting like a time interval), but even so I wasn't able to determine a CI (must have been doing something very wrong; when I did a normal approximation of the Poisson I came up with a negative lower bound!). In summary:

1. What sort of distribution is appropriate? A simpler one would be better.

2. Very briefly (one sentence or just drop in a link; I'll work out the details) how do I find a CI with that distribution?