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Part of the book series: Springer Texts in Statistics ((STS))

Abstract

Chapters I, II, and III examine topics in multivariate analysis. Specifically, they discuss multivariate linear models, discriminant analysis, principal components, and factor analysis. The basic ideas behind these subjects are closely related to linear model theory. Multivariate linear models are simply linear models with more than one dependent variable. Discriminant analysis is closely related to both Mahalanobis’s distance (cf. Christensen, 1987, Section XIII.1) and multivariate one-way analysis of variance. Principal components are user-constructed variables which are best linear predictors (cf. Christensen, 1987, Section VI.3) of the original data. Factor analysis has ties to both multivariate linear models and principal components.

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© 1991 Springer Science+Business Media New York

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Christensen, R. (1991). Multivariate Linear Models. In: Linear Models for Multivariate, Time Series, and Spatial Data. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4103-2_1

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  • DOI: https://doi.org/10.1007/978-1-4757-4103-2_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-4105-6

  • Online ISBN: 978-1-4757-4103-2

  • eBook Packages: Springer Book Archive

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