Bartlett test

A statistical test in the Behrens–Fisher problem. It refers to the case of two samples and having equal size, . The critical regions are given by the inequality

for some constant , where

The left-hand side of the inequality has a Student distribution with degrees of freedom, connecting the significance level of the test to the constant . Bartlett's test is a special case of the Scheffe test and has analogous extremal properties, but was presented by M.S. Bartlett [1] prior to this solution. A second test of Bartlett is connected with the comparison of the variances of many samples.

References

[1]	M.S. Bartlett, "The information available in small samples" Proc. Cambridge Philos. Soc. (1) , 32 : 3 (1936) pp. 560–566