Bartlett''s test for variances, Advanced Statistics

Bartlett's test for variances: A test for equality of the variances of the number (k)of the populations. The test statistic can be given as follows


1902_bartlett1.png 

where s square is an estimate of the variance of population i based on vi degrees of freedom, and v and s square are given by

1615_bartlett2.png  
 and
429_bartlett3.png 
 Under the assumption that the populations all have the same B has a chi-squared distribution, variance with the k - 1 degrees of freedom. Sometimes used earlier for applying analysis of variance techniques or methods to assess the assumption of the homogeneity of the variance. Of limited practical value cause of its well known sensitivity to non-normality, so that the signi?cant result might be due to the departures from normality rather than to the different variances.

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