Introduction to the Central Limit Theorem (fast version) @jbstatistics
Introduction to the Central Limit Theorem (fast version)  @jbstatistics
Uploaded September 2012 | Updated September 2026, 43 minutes ago
I discuss the central limit theorem, a very important concept in the world of statistics. I illustrate the concept by sampling from two different distributions, and for both distributions plot the sampling distribution of the sample mean for various sample sizes. I also discuss why the central limit theorem is important in statistics, and work through a probability calculation. (For the most part this is a non-technical treatment, and simply illustrates the important implications of the central limit theorem.)
Introduction to the Central Limit Theorem (fast version)Z-Scores (As a Descriptive Measure of Relative Standing)Calculating Power and P(Type II error) (A One-Tailed Z Test Example)Inference for One Proportion: IntroductionOn average, what proportion of sample means would a randomly selected 95% CI for mu capture?An Introduction to the F DistributionThe Pooled-Variance t Test as a RegressionSimple Linear Regression:  TransformationsWhat is a p-value?Chi-square tests for count data: Finding the p-valueSimple Linear Regression: Interpreting Model ParametersDiscrete Probability Distributions: Examples (Binomial,Poisson,Hypergeometric)(fast version)
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Introduction to the Central Limit Theorem (fast version)

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