On methods in the analysis of profile data

SW Greenhouse, S Geisser - Psychometrika, 1959 - Springer
SW Greenhouse, S Geisser
Psychometrika, 1959Springer
This paper is concerned with methods for analyzing quantitative, non-categorical profile
data, eg, 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 …
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 conservativeF 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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