On Methods in the Analysis of Profile Data

1959/06/01 by Samuel W. Greenhouse, Seymour Geisser · 41 citations
Mathematics · Chemistry · Decision Sciences · #Advanced Statistical Methods and Models #Spectroscopy and Chemometric Analyses #Optimal Experimental Design Methods

paper · doi:10.1007/bf02289823

Abstract

This paper is concerned with methods for analyzing quantitative, non-categorical profile data, e.g., a battery of tests given to individuals in one or more groups. It is assumed that the variables have a multinormal distribution with an arbitrary variance-covariance matrix. Approximate procedures based on classical analysis of variance are presented, including an adjustment to the degrees of freedom resulting in conservative F tests. These can be applied to the case where the variance-covariance matrices differ from group to group. In addition, exact generalized multivariate analysis methods are discussed. Examples are given illustrating both techniques.

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