Building latent class trees, with an application to a study of social capital

M. van den Bergh, V.D. Schmittmann, J.K. Vermunt

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Abstract

Researchers use latent class (LC) analysis to derive meaningful clusters from sets of categorical variables. However, especially when the number of classes required to obtain a good fit is large, interpretation of the latent classes may not be straightforward. To overcome this problem, we propose an alternative way of performing LC analysis, Latent Class Tree (LCT) modeling. For this purpose, a recursive partitioning procedure similar to divisive hierarchical cluster analysis is used: classes are split until a certain criterion indicates that the fit does not improve. The advantage of the LCT approach compared to the standard LC approach is that it gives a clear insight into how the latent classes are formed and how solutions with different numbers of classes relate. We also propose measures to evaluate the relative importance of the splits. The practical use of the approach is illustrated by the analysis of a data set on social capital.
Original languageEnglish
Pages (from-to)13-22
Number of pages9
JournalMethodology: European Journal of Research Methods for the Behavioral and Social Sciences
Volume13
DOIs
Publication statusPublished - 2 Jun 2017

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social capital
Cluster Analysis
cluster analysis
interpretation

Keywords

  • Latent class analysis
  • Classification trees
  • mixture mode
  • categorical data analysis
  • divisive hierarchical clustering

Cite this

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title = "Building latent class trees, with an application to a study of social capital",
abstract = "Researchers use latent class (LC) analysis to derive meaningful clusters from sets of categorical variables. However, especially when the number of classes required to obtain a good fit is large, interpretation of the latent classes may not be straightforward. To overcome this problem, we propose an alternative way of performing LC analysis, Latent Class Tree (LCT) modeling. For this purpose, a recursive partitioning procedure similar to divisive hierarchical cluster analysis is used: classes are split until a certain criterion indicates that the fit does not improve. The advantage of the LCT approach compared to the standard LC approach is that it gives a clear insight into how the latent classes are formed and how solutions with different numbers of classes relate. We also propose measures to evaluate the relative importance of the splits. The practical use of the approach is illustrated by the analysis of a data set on social capital.",
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Building latent class trees, with an application to a study of social capital. / van den Bergh, M.; Schmittmann, V.D.; Vermunt, J.K.

In: Methodology: European Journal of Research Methods for the Behavioral and Social Sciences, Vol. 13, 02.06.2017, p. 13-22.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Building latent class trees, with an application to a study of social capital

AU - van den Bergh, M.

AU - Schmittmann, V.D.

AU - Vermunt, J.K.

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AB - Researchers use latent class (LC) analysis to derive meaningful clusters from sets of categorical variables. However, especially when the number of classes required to obtain a good fit is large, interpretation of the latent classes may not be straightforward. To overcome this problem, we propose an alternative way of performing LC analysis, Latent Class Tree (LCT) modeling. For this purpose, a recursive partitioning procedure similar to divisive hierarchical cluster analysis is used: classes are split until a certain criterion indicates that the fit does not improve. The advantage of the LCT approach compared to the standard LC approach is that it gives a clear insight into how the latent classes are formed and how solutions with different numbers of classes relate. We also propose measures to evaluate the relative importance of the splits. The practical use of the approach is illustrated by the analysis of a data set on social capital.

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