Central Limit Theorem
Published Online: 30 JAN 2010
Copyright © 2010 John Wiley & Sons, Inc. All rights reserved.
Corsini Encyclopedia of Psychology
How to Cite
Anderson, C. J. 2010. Central Limit Theorem. Corsini Encyclopedia of Psychology. 1–2.
- Published Online: 30 JAN 2010
Many statistical inferential procedures such as hypothesis testing and the estimation of confidence intervals are based on the assumption that the distribution of a sample statistic is normal. The Central Limit Theorem (CLT) often justifies the assumption that the distribution of a sample statistic (e.g., mean, sum score, and test statistic) is normal. The Central Limit Theorem states that, for a large sample of n observations from a population with a finite mean and variance, the sampling distribution of the sum or mean of samples of size n is approximately normal.
- sampling distribution;
- normal distribution