# Questions tagged [sampling-distribution]

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### Is it possible that a confidence interval for a sampling distribution of the sample proportion to be < 0 or > 1? [duplicate]

A proportion or percentage must be between 0 and 1, therefore, a confidence interval for a proportion should also be between 0 and 1. But is it possible that if the "10-successes-and-10-failures&...
1 vote
69 views

### Why use the bootstrap for a skewed statistic when you can use a transform?

Let's say you are working with a statistic (say, the mean of the population) of a skewed distribution with a long, long tail such that confidence intervals must be very skewed to achieve reasonable ...
25 views

### Sampling distribution, bias and variance of cross-validation methods (particularly LOOCV)

(TL;DR version below) If my understanding is correct, bias/variance are measures of goodness of fit of a statistical estimator w.r.t. the sampling distribution. So if I have a statistic $t(X)$ that ...
1 vote
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### Bootstrap: Resampling more observations than exist in original dataset

I want to resample an existing study with the primary aim of investigating how the empirical sampling distribution of a statistic varies with different sample sizes. For example, if the original study ...
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### Proper way of constructing sampling distribution

While the proper way of constructing the sampling distribution would be to repeatedly sample from population with unknown parameters, I'm not convinced it is the case in practice. Surveys performed in ...
65 views

### Is true that the sampling distribution of $\ln \left(\chi^{2}\right)$ converges to normality much faster than the sampling distribution of $\chi^{2}$?

If true is the consequence true that $X \sim \chi^{2}(k)$ then $\sqrt{2 X}$ is approximately normally distributed with mean $\sqrt{2 k-1}$ and unit variance? Also true that If $X \sim \chi^{2}(k)$ ... In a permutation test, we have a test statistic $T$ (for example t-test, f-test, etc.) that is applied to the original data to obtain an observed value $o_{obs}$ for the test statistic. Next, the data ...