Wednesday, December 2, 2009

Multivariate tests for comparing populations

Multivariate parametric hypothesis testing for comparing populations.

A multivariate test for comparison of population try to determine if K (K 2) samples come from the same underlying population according to a set of variables of interest (X1,…,Xp).

We talk about parametric test when we assume that the data come from a type of probability distribution. Thus, the inference relies on the parameters of the distribution. For instance, if we assume that the data is drawn from a multivariate Gaussian distribution, the hypothesis testing relies on mean vector or on covariance matrix.

Keywords: Hotelling's T2, Wilks' Lambda, Box’s M test, Bartlett's test, mean vector, covariance matrix, MANOVA
Components: UNIVARIATE CONTINUOUS STAT, HOTELLING’S T2, HOTELLING’S T2 HETEROSCEDASTIC, BOX’S M TEST, ONE-WAY MANOVA
Lien: en_Tanagra_Multivariate_Parametric_Tests.pdf
Dataset: credit_approval.xls
References :
S. Rathburn, A. Wiesner, "STAT 505: Applied Multivariate Statistical Analysis", The Pennsylvania State University.