# Questions tagged [finite-population]

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### Bootstrapping a sample from a finite population

Can someone point me to some reference for theory on bootstrapping a sample took from a population of known size? I am used to use Bootstrap to calculate confidence intervals of a sample when the ...
524 views

### Variance of subsample from a distribution

I've simulated $N$ variables from a distribution $X_i \sim N(0,\sigma^2)$. I now take a subsample of size $n$ from this sample. Let the indices of this subsample be denoted $S_n$. I was wondering ...
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### R survey package: finite population correction affects point estimate in addition to the variance estimate?

Forgive me if this is an idiot question, but I believed that including a finite population correction parameter in the R survey package should only impact my variance estimates in a stratified sample (...
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### Derivation of formula for sample size of finite population

I found here the formula for computing the sample size $n$ of a finite population $N$ $$n = \frac{n_\infty}{1 + \frac{n_\infty - 1}{N}}$$ where the sample size for an infinite population $n_\infty$ ...
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### How to apply the finite correction error to adjust the required sample size

I am currently refreshing my stats knowledge where I came across the notion of the finite population correction. This notion appears when determining the sample size required to construct a confidence ...
155 views

### Sample size as proportion of population and statistical power?

I have done a study of information request response times in order to find out whether response time differs because of characteristics of the person doing the request. The studied unit is an ...
184 views

### Finite population correction, where does the square root come from?

The correction factor for finite populations is $\sqrt{1-\frac{n}{N}}$ (for known variance) where $n$ is the sample size and $N$ is the population size. I wonder where the square root comes from. ...
133 views

### Confidence interval for the odds ratio in a finite population

Does it make sense to estimate a confidence interval for the odds ratio / logistic regression model when the sample size is nearly equal to population size? For example, if the sample size is 50 and ...
40 views

### 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 $\sigma^2_A=\sigma^2_B$ ...
190 views

### How to calculate stnd error for sample proportion with finite population correction when N is a random variable?

A coworker in the health insurance field is pulling a random sample of patient charts who have attempted suicide for a standard government report. Every random sample requires manual chart review, ...
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### Interpreting coefficient errors in regression from uncertain population

I'm working on some regressions for UK cities and have a question about how to interpret regression coefficients. In a typical regression, one would be working with data from a sample and so the ...
I found an equation that says the standard error of the sampling distribution of the mean is: $$\sigma_{\bar{X}} = \sigma \cdot \sqrt{\frac{1}{n}-\frac{1}{N}}$$ And when the population size is very ...