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.

Posted Date: 7/26/2012 5:16:34 AM | Location : United States







Related Discussions:- Bartlett''s test for variances, Assignment Help, Ask Question on Bartlett''s test for variances, Get Answer, Expert's Help, Bartlett''s test for variances Discussions

Write discussion on Bartlett''s test for variances
Your posts are moderated
Related Questions
Generalized principal components analysis: The non-linear version of the principal components analysis in which the goal is to determine the non-linear coordinate system which is

Bimodal distribution : The probability distribution, or we can simply say the frequency distribution, with two modes. Figure 15 shows the example of each of them

Continual reassessment method: An approach which applies Bayesian inference for determining the maximum tolerated dose in a phase I trial. The method starts by assuming a logistic

A radically different approach of dealing with the uncertainty than the traditional probabilistic and the statistical methods. The necessary feature of the fuzzy set is a membershi

Interval-censored observations are the  observations which often occur in the context of studies of time elapsed to the particular event when subjects are not monitored regularl

Collective risk models : The models applied to insurance portfolios which do not create direct reference to the risk characteristics of individual members of the portfolio when des

Prognostic scoring system is a technique of combining the prognostic information contained in the number of threat factors, in a manner which best predicts each patient's risk of

Range is the difference between the largest and smallest observations in the data set. Commonly used as an easy-to-calculate measure of the dispersion in the set of observations b

sfdgfdg

A mixture of benzene, toluene, and xylene enters a two-stage distillation process where some of the componentsare recovered. The distillation process operates at steady-state condi