Questions tagged [finite-population]
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.)
119 questions
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Why does the population size not affect parameter uncertainty?
I am looking to quantify the uncertainty about a parameter of a finite population, from a Bayesian perspective.
Example.
For example, we consider the proportion of people with a gym membership in ...
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Experiment with sample sizes close to population - how to approach inference? (+FPC)
this is a question I have thought about in the past but I can't convince myself of the correctness of the answer.
Let's say you are running a (true) experiment in all schools of a small country, and ...
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Accounting for varying estimate precision when comparing proportions
I am stuck on an apparently simple problem that has been perplexing me for several days, without finding a solution.
Here is the question:
I have seroprevalence estimates (i.e., the prevalence of ...
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Comparing distribution of continuous data and binned data that are compositional
The Data
I have a list of N ∼ 6700 population members who have a condition and are labeled with age in whole years and biological sex.
For the parent population, I have
The total number of each sex (∼...
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Does the Central Limit Theorem Apply to All Finite Samples Even If They Come From Distributions That Don't Have a Finite Variance?
Some distributions, like the Cauchy distribution, don't have a finite variance, and therefore the central limit theorem does not apply to them. If I have a thousand randomly selected observations from ...
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bootstrap resampling technique when comparing medians with finite population size
When comparing differences in samples (e.g., difference in medians) between two groups, I am
adjusting group size to account for finite populations of the
groups,
pooling all of the samples together ...
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bootstrap confidence interval and p-value calculations for finite population sizes
I am comparing the difference of medians between two groups of sample sizes $n1$ and $n2$. I would like to confirm that my boostrap approach for finite population size without pooling sample data ...
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Non-parametric test for separating samples from two populations
I have samples $\mathcal{Z} = \{Z_1,\ldots,Z_n\}$. These samples either come from the unknown distribution $\mathcal{D}_1$ or $\mathcal{D}_2$. (Note: I can't make any assumptions about these ...
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Can I use polling techniques in card games?
In a 50 card deck where 4 copies of a card are allowed at maximum,there are around 2 million possible starting hands.
My question is: If I take a random sample of the 300-350 and analyze it. Can I ...
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Binomial Proportions when sampling without replacement not studied?
Question
When doing surveys with a population, we obviously don't replace by design. Why is it then that the mathematics and statistics described in textbooks seems to be veering more on the side of ...
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Why does the finite population variance requires the (N-1) factor in the literature?
Recently I've encountered the formula for finite population variance in Davison's and Hinkley's book "Bootstrap Methods and their Application" (see screenshot below). The formula includes $(...
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Confusion regarding proof that the variance estimator is unbiased for finite population
Going through Sharon L. Lohr's Sampling design book (2nd Edition), I have no issues with the content all the way until it goes into the proof in chapter 2 on SRSWOR that $E[s^2] = S^2$, where $S^2$ is ...
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Why do two different population sizes result in nearly equal sample sizes?
I have calculated the sample size for two different populations, N1= 29414 and N2= 625 (see code below). Why do I almost get the same sample size n1= 380 and n2= 239. There is not much difference, ...
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Finite population correction for the variance
Just when I thought I was starting to understand Bessel's correction, I noticed that it is not valid when the sample size equals the population size and so likely not valid for sample sizes close to ...
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Is there a standard error of the mean for when population size is known?
Background
Let us suppose that we are sampling from a finite population which is itself drawn from a univariate normal distribution. This accomplishes (1) having an underlying probability model and (2)...
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