Behrens fisher problem, Advanced Statistics

Behrens Fisher problem: The difficulty of testing for the equality of the means of the two normal distributions which do not have the equal variance. Various test statistics have been planned, even though none of them are completely satisfactory. The one which is most commonly used can be given as


1648_behrens fisher problem.png 

where x1; x2; s21; s2 2; n1 and n2 are the variances, means and sizes of samples of observations from each population. Under the hypothesis or the assumption that the population means are equal, t has a Student's t-distribution with v degrees of freedom where




1571_behrens fisher problem1.png 

and


2322_behrens fisher problem2.png 

Posted Date: 7/26/2012 5:24:37 AM | Location : United States







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