Threshold Models for Ordinal Data Involving Stratification

Jansen, J.

doi:10.1007/978-1-4612-3680-1_21

J. Jansen⁵

Part of the book series: Lecture Notes in Statistics ((LNS,volume 57))

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Summary

This paper is concerned with the analysis of ordinal data obtained from stratified experiments. A threshold model is defined to provide a link between the ordinal scale of measurement and a linear scale on which treatments are supposed to act. In order to account for stratification in the data random effects are added to the linear predictor. It is shown that maximum likelihood estimates can be obtained by iterative weighted least quares. Relationships with other types of data are discussed.

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Institute for Horticultural Plant Breeding, P.O. Box 16, 6700, Wageningen, The Netherlands
J. Jansen

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J. Jansen
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Editors and Affiliations

Istituto di Biometria e Statistica Medica, Via Venezian, 1, 20133, Milano, Italy
Adriano Decarli
Centre for Applied Statistics, Fylde College, Lancaster University, LA1 4YF, Lancaster, UK
Brian J. Francis
Polytechnic of North London, Holloway Road, N7 8DB, London, UK
Robert Gilchrist
Insitut für Statistik, Universität Innsbruck, Innrain 52, 6020, Innsbruck, Austria
Gilg U. H. Seeber

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Jansen, J. (1989). Threshold Models for Ordinal Data Involving Stratification. In: Decarli, A., Francis, B.J., Gilchrist, R., Seeber, G.U.H. (eds) Statistical Modelling. Lecture Notes in Statistics, vol 57. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3680-1_21

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DOI: https://doi.org/10.1007/978-1-4612-3680-1_21
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97097-4
Online ISBN: 978-1-4612-3680-1
eBook Packages: Springer Book Archive

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