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Subject specific and population average models for binary longitudinal data: a tutorial

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  • Szmaragd, Camille
  • Clarke, Paul
  • Steele, Fiona

Abstract

Using data from the British Household Panel Survey, we illustrate how longitudinal repeated measures of binary outcomes are analysed using population average and subject specific logistic regression models. We show how the autocorrelation found in longitudinal data is accounted for by both approaches, and why, in contrast to linear models for continuous outcomes, the parameters of population average and subject specific models for binary outcomes are different. To illustrate these points, we fit different models to our data set using both approaches, and compare and contrast the results obtained. Finally, we use our example to provide some guidance on how to choose between the two approaches.

Suggested Citation

  • Szmaragd, Camille & Clarke, Paul & Steele, Fiona, 2013. "Subject specific and population average models for binary longitudinal data: a tutorial," LSE Research Online Documents on Economics 52199, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:52199
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    File URL: http://eprints.lse.ac.uk/52199/
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    1. James Cui, 2007. "QIC program and model selection in GEE analyses," Stata Journal, StataCorp LP, vol. 7(2), pages 209-220, June.
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    2. Doruk, Ömer Tuğsal & Pastore, Francesco, 2020. "School to Work Transition and Macroeconomic Conditions in the Turkish Economy," IZA Discussion Papers 13921, Institute of Labor Economics (IZA).
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    5. Fischer, Caroline & Schott, Carina, 2020. "Why People Enter and Stay in Public Service Careers: The Role of Parental Socialization and an Interest in Politics," OSF Preprints yb8e3, Center for Open Science.
    6. Hansen, Anders Rhiger & Jacobsen, Mette Hove & Gram-Hanssen, Kirsten, 2022. "Characterizing the Danish energy prosumer: Who buys solar PV systems and why do they buy them?," Ecological Economics, Elsevier, vol. 193(C).

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    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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