[R-sig-ME] Calculating upper and lower confidence limits on a population estimate derived from multiple point estimates

[Jeff Newmiller]

In general, no. Depends on the level of correlation between all values being added. This is a pretty basic statistical theory question.

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Sent from my phone. Please excuse my brevity.

On July 28, 2014 10:05:27 AM PDT, Reuben Smit <smit.reuben at gmail.com> wrote:
>I am generating a river reach population estimate for a freshwater
>mussel
>by summing point estimates made across a gridded point network (within
>the
>reach) using a generalized linear mixed model framework. I have
>generated
>95% confidence/prediction intervals at each of the ~150,000 point
>locations
>in R. I have summed all of the point estimates to derive the reach
>population estimate, but am unsure how to derive a single confidence
>interval for the population estimate using the 150,000 individual-point
>confidence intervals. My question: Is it statistically valid to simply
>sum
>all the lower estimates and upper estimates to obtain the absolute
>upper
>and lower most population confidence limits?
>
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>
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