A latent time–budget model |
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| Authors: | J de Leeuw PGM van der Heijden P Verboon |
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| Institution: | Departments of Psychology and Mathematics U.C.L.A., Hilgard Ave. 405 Los Angeles CA 90024–1563 USA;F.S.W., Department V.O.S., Section Methods University of Utrecht Postbus 80140, 3508 TC Utrecht The Netherlands;Department ot Data Theory University of Leiden Wassenaarseweg 52, 2333 AK Leiden The Netherlands |
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| Abstract: | Time–budgets summarize how the time of objects is distributed over a number of categories. Usually they are collected in object by category matrices with the property that rows of this data matrix add up to one. In this paper we discuss a model for the analysis of time–budgets that used this property. The model approximates the observed time–budgets by weighted sums of a number of latent time–budgets. These latent time–budgets determine the behavior of all objects. Special attention is given to the identification of the model. The model is compared with logcontrast principal component analysis. |
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| Keywords: | Latent structure factor analysis data analysis EM–algorithm identication compositional data |
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