|You are working with the text-only light edition of "H.Lohninger: Teach/Me Data Analysis, Springer-Verlag, Berlin-New York-Tokyo, 1999. ISBN 3-540-14743-8". Click here for further information.|
|Table of Contents Univariate Data Sampling Distributions t Distribution|
|See also: distribution calculator, chi-square distribution, F-distribution, sampling distributions|
W.S. Gosset demonstrated in 1908 that the ratio t between the difference of the sample mean and the population mean, and the standard error of the mean, is not normally distributed if the population parameters are unknown:
This ratio follows a special distribution, called t-distribution. The t-distribution is broader than the normal distribution for small sample numbers, and approaches the normal distribution for large sample sizes. Below the t-distribution is given for 1, 3, and 10 degrees of freedom.
Last Update: 2005-Jul-16