Use this tag to refer to situations when the population of interest is not infinite. (Much of statistics, estimation & inference, relies on the assumption that the population is infinite.)
Questions tagged [finite-population]
120 questions
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When to use finite population correction?
I'm looking to understand where we would and would not use finite population corrections: at what point would you draw the line and say that fpc is not appropriate?
I've read that it might not be used where n/N < 0.05. Are there other situations…
Scottmeup
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Origin of the finite population correction (FPC) factor?
I'm trying to figure out the origin of the finite population correction (FPC) factor. That is, who developed it as a concept and theory, and when was it first documented.
I realize this is a tricky question. The history of certain basic ideas in…
fpc_who
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How can I estimate a population size from the probability of randomly drawn members?
I have a finite set $X$ of unknown size. From that I independently draw a multiset of samples $S\subset X$. For each sample $s\in S$ I can give the exact probability $p(s)$ with which it has been drawn from $X$ such that
$\sum_{x\in X}p(x)=1$ and…
fuz
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Equality of two populations
Let's have two populations $A$ and $B$. Each population has $n$ integers, where $n>=1$. Can you claim that if means are the same, i.e. $\mu_A=\mu_B$ and so is the variance $\sigma^2_A=\sigma^2_B$ then $A=B$ (i.e. both contain the same elements)?
rbm
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How well does population data fit a model?
Say I have a model that predicts hair color in a population: $X_1\%$ is brown, $X_2\%$ is black, $X_3\%$ is blonde, and in general color $i$ occurs $X_i \%$ of the time. Now, I go out and measure the population and find $Y_1\%$ brown, $Y_2\%$ is…
qgp07
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