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Multivariate Statistical Inference Under Marginal Structure, I

Author(s):
Gleser, Leon Jay; Olkin, Ingram
Publication Year:
1972
Report Number:
RB-72-40
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
81
Subject/Key Words:
National Science Foundation (NSF), United States Air Force Office of Scientific Research, Mathematical Models, Psychometrics, Statistical Analysis

Abstract

Statistical inference concerning the parameters of k multivariate normal populations is considered. Several models in which the parameters have certain hierarchical relationships are discussed. In particular as related to testing the hypothesis that k psychological tests are parallel forms of the same test. The report contains the following sections: Introduction: The Underlying Structure: Maximum Likelihood Estimation: Tests of Hypotheses; and An Application. An appendix is titled "Derivation of the Maximum Likelihood Estimators." References are provided. (DB) (81pp.)

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