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.

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 ...

Sampling distribution of a chi-square statistic: Chi-Square Contingency Analysis This applet allows users to conduct a chi-square test using a dataset displayed in a contingency table. Simulated ...

A research team led by Prof. PAN Ding, Associate Professor from the Departments of Physics and Chemistry, and Dr. LI Shuo-Hui ...

In this paper, maximum likelihood estimators and estimators which utilize the first order statistic are derived for the three parameter Weibull distribution. Estimators are also derived for the ...

A research team has developed a novel direct sampling method based on deep generative models. Their method enables efficient ...

Learn what a t-test is and discover the five standard assumptions made regarding the validity of sampling and data used in a t-test.

Uses of the sampling distribution: Since we often want to draw conclusions about something in a population based on only one sample, understanding how our sample statistics vary from sample to sample, ...