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Non-Linear Latent Variable Models: A Study of Factor Score Approaches
Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Social Sciences, Department of Statistics.
2017 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

Non-linear latent variable models are associated with problems which are difficult to handle in applied sciences. Four methods for estimating factor scores, with the purpose of estimating latent variable models with an interaction term, were investigated. The LISREL procedure provided inconsistent estimates of the interaction term for all sample sizes and distributions of the latent exogenous variables. The Bartlett-Thompson approach yielded consistent estimates only when the distribution of the latent exogenous variables was normal, whereas the Hoshino-Bentler and adjusted LISREL approaches yielded consistency for all distributions of the latent exogenous variables. In the Bartlett-Thompson and LISREL approaches the interaction term is formed from multiplying latent variable scores, whereas in the Hoshino-Bentler and adjusted LISREL approaches the interaction term is treated as yet another factor which is freely estimated. It was, hence, concluded that the methods treating the interaction term as a factor were more appropriate (in terms of consistency and robustness) than those using products of factor scores for estimating the latent variable model.

Place, publisher, year, edition, pages
2017. , 19 p.
Keyword [en]
Structural Equatio Model, Interaction Monte Carlo
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:uu:diva-326330OAI: oai:DiVA.org:uu-326330DiVA: diva2:1120568
Subject / course
Statistics
Educational program
Master Programme in Statistics
Presentation
2017-06-01, F332, Kyrkogårdsgatan 10, Uppsala, 09:40 (English)
Supervisors
Examiners
Available from: 2017-07-06 Created: 2017-07-06 Last updated: 2017-07-06Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf