A thought experiment about sampling distributions: Imagine you take a random sample of individuals from a target population, measure something and then calculate a sample statistic, the “mean” let’s ...

Distribution of Sample Means Sampling with Replacement Example 1: The population from which samples are selected is {1,2,3,4,5,6}. This population has a mean of 3.5 and a standard deviation of 1.70783 ...

Central Limit Theorem: A sampling distribution of the mean is approximately normally distributed if the sample size is sufficiently large. This is true no matter what the population distribution is.

Stratified random sampling is a method of sampling that divides a population into smaller groups that form the basis of test samples.

A representative sample is used in statistical analysis and is a subset of a population that reflects the characteristics of the entire population.

The second demonstrates that in the continuous case, MISE-based and conventional sample size selection rules can differ substantially. The Journal of the American Statistical Association (JASA) has ...

In particular, two-dimensional extensions of known approximate variance estimators used in linear systematic sampling are introduced. These almost new variance estimators have the advantage of taking ...