A latent time-budget model

Jan De Leeuw, Peter van der Heijden, Peter Verboon

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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.
Original languageEnglish
Pages (from-to)1-22
JournalStatistica Neerlandica
Volume44
Issue number1
Publication statusPublished - 1990
Externally publishedYes

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Approximate Model
Weighted Sums
Principal Component Analysis
Model
Object

Keywords

  • time-budgets
  • latent structure
  • factor analysis
  • Em-algorithm

Cite this

De Leeuw, J., van der Heijden, P., & Verboon, P. (1990). A latent time-budget model. Statistica Neerlandica, 44(1), 1-22.
De Leeuw, Jan ; van der Heijden, Peter ; Verboon, Peter. / A latent time-budget model. In: Statistica Neerlandica. 1990 ; Vol. 44, No. 1. pp. 1-22.
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De Leeuw, J, van der Heijden, P & Verboon, P 1990, 'A latent time-budget model', Statistica Neerlandica, vol. 44, no. 1, pp. 1-22.

A latent time-budget model. / De Leeuw, Jan; van der Heijden, Peter; Verboon, Peter.

In: Statistica Neerlandica, Vol. 44, No. 1, 1990, p. 1-22.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - A latent time-budget model

AU - De Leeuw, Jan

AU - van der Heijden, Peter

AU - Verboon, Peter

PY - 1990

Y1 - 1990

N2 - 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.

AB - 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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KW - latent structure

KW - factor analysis

KW - Em-algorithm

M3 - Article

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JO - Statistica Neerlandica

JF - Statistica Neerlandica

SN - 0039-0402

IS - 1

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De Leeuw J, van der Heijden P, Verboon P. A latent time-budget model. Statistica Neerlandica. 1990;44(1):1-22.