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On Information Matrices for Fixed and Random Parameters in Generally Balanced Experimental Block Designs

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Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract

Information matrices are arguments of most of optimality criteria defined under fixed linear models and also for fixed effects in mixed linear models. However, in the context of mixed models interest often lies on variances of random effects as well as on fixed effects. In the paper the forms and some properties of the information matrix for fixed treatment parameters and for strata variances, in case of generally balanced block designs, are shown. A short discussion on optimality criteria is also presented.

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© 1995 Springer-Verlag Berlin Heidelberg

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Bogacka, B. (1995). On Information Matrices for Fixed and Random Parameters in Generally Balanced Experimental Block Designs. In: Kitsos, C.P., Müller, W.G. (eds) MODA4 — Advances in Model-Oriented Data Analysis. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-12516-8_15

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  • DOI: https://doi.org/10.1007/978-3-662-12516-8_15

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0864-3

  • Online ISBN: 978-3-662-12516-8

  • eBook Packages: Springer Book Archive

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