Published Online: 15 JUL 2005
Copyright © 2005 John Wiley & Sons, Ltd
Encyclopedia of Biostatistics
How to Cite
Begg, M. D. 2005. Sampling Distributions. Encyclopedia of Biostatistics. 7.
- Published Online: 15 JUL 2005
In frequentist inference, the effect of random variability on a calculated statistic is assessed by assuming that the data were drawn randomly from a hypothetical population defined by parameters, and statistical theory shows the extent to which the statistic would vary in repeated random samples from such a distribution. The sampling distribution of the sample mean tends to be nearly normally distributed in large samples, and so significance tests and confidence intervals for the mean make much use of the normal distribution, the standard deviation of which (the “standard error of the mean”) is the population standard deviation divided by the square root of the sample size.
- random sample;
- central limit;
- standard error;