Abstarct: In many statistical methods, the use of multivariate methods therefore it is of interest to researchers. an application of multivariate techniques in the analysis of variance,that’s the best estimator for the unknown parameter is the number one concern. the problem is always the parameter estimates, check the accuracy of the estimator. one way to address this issue by analysis of variance. basis of multivariate analysis, a multivariate normal distribution. but the real problems associated states considering that it was not appropriate for the multivariate normal distribution. there is different methods for testing the target population has a multivariate normal distribution. in the case of other classes of multivariate distributions can be used as a substitute. in this research first examines the multivariate analysis baxsed on the multivariate normal distribution, and then to this end we use the distribution of kotz, analysis of variance to examine. also interested in if you are looking analysis also extend to other elliptical family of distributions.