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Model Averaging in Factor Analysis: An Analysis of Olympic Decathlon Data

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  • Schomaker Michael

    (Ludwig-Maximilians-Universität)

  • Heumann Christian

    (Ludwig-Maximilians-Universität)

Abstract

This article presents a multivariate analysis of Olympic decathlon data based on maximum likelihood factor analysis. All results explicitly account for model selection uncertainty, which is inherent in any data-based selection process but mostly ignored in reports related to multivariate sports data. For this purpose, some well-established frequentist procedures that have so far been applied almost exclusively to regression analysis are adopted and transferred to the factor analytical context. The findings support the claim that decathlon contests consist of three dimensions. These dimensions seem to be similar to, but not exactly the same, as those found by Cox and Dunn (2002) via hierarchical cluster analysis.

Suggested Citation

  • Schomaker Michael & Heumann Christian, 2011. "Model Averaging in Factor Analysis: An Analysis of Olympic Decathlon Data," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 7(1), pages 1-15, January.
    • Handle: RePEc:bpj:jqsprt:v:7:y:2011:i:1:n:4
    DOI: 10.2202/1559-0410.1249
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    References listed on IDEAS

    as
    1. Hirotugu Akaike, 1987. "Factor analysis and AIC," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 317-332, September.
    2. Woolf Anne & Ansley Les & Bidgood Penelope, 2007. "Grouping of Decathlon Disciplines," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 3(4), pages 1-15, October.
    3. Claeskens,Gerda & Hjort,Nils Lid, 2008. "Model Selection and Model Averaging," Cambridge Books, Cambridge University Press, number 9780521852258, October.
    4. Ludwig Fahrmeir & Alexander Raach, 2007. "A Bayesian Semiparametric Latent Variable Model for Mixed Responses," Psychometrika, Springer;The Psychometric Society, vol. 72(3), pages 327-346, September.
    5. Schomaker, Michael & Wan, Alan T.K. & Heumann, Christian, 2010. "Frequentist Model Averaging with missing observations," Computational Statistics & Data Analysis, Elsevier, vol. 54(12), pages 3336-3347, December.
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    Cited by:

    1. Schomaker, Michael & Heumann, Christian, 2014. "Model selection and model averaging after multiple imputation," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 758-770.
    2. Wimmer Valentin & Fenske Nora & Pyrka Patricia & Fahrmeir Ludwig, 2011. "Exploring Competition Performance in Decathlon Using Semi-Parametric Latent Variable Models," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 7(4), pages 1-21, October.
    3. Shaobo Jin & Sebastian Ankargren, 2019. "Frequentist Model Averaging in Structural Equation Modelling," Psychometrika, Springer;The Psychometric Society, vol. 84(1), pages 84-104, March.
    4. Fröhlich, Michael & Gassmann, Freya & Emrich, Eike (ed.), 2015. "Zur Strukturanalyse des Mehrkampfes in der Leichtathletik: Eine empirische Studie zum Zusammenhang von Leistung und Erfolg im Siebenkampf der Frauen und Zehnkampf der Männer," Schriften des Europäischen Instituts für Sozioökonomie e.V., European Institute for Socioeconomics (EIS), Saarbrücken, volume 11, number 11, March.

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