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A Model for Binary Time Series Data with Serial Odds Ratio Patterns

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  • Garrett M. Fitzmaurice
  • Stuart R. Lipsitz

Abstract

Moment methods for analysing repeated binary responses using the marginal odds ratio as a measure of association have recently been proposed by several researchers. Using the generalized estimating equation (GEE) methodology, they estimated the regression parameters associated with the expected value of an individual's vector of binary responses. In addition, they estimated the marginal odds ratio between pairs of binary responses. In this paper, we discuss a model for binary time series data where the repeated responses on each individual may be unequally spaced in time. This model allows both the number of observations per individual and the times of measurement to vary between individuals. Our approach is to model the association between the binary responses using serial odds ratio patterns. This model can be thought of as a binary time series analogue of the exponential correlation pattern so commonly assumed for continuous time series data. Parameter estimates are obtained by using the GEE methodology. The model is illustrated with data from an arthritis clinical trial where the response variable is a binary self‐assessment measurement.

Suggested Citation

  • Garrett M. Fitzmaurice & Stuart R. Lipsitz, 1995. "A Model for Binary Time Series Data with Serial Odds Ratio Patterns," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 44(1), pages 51-61, March.
    • Handle: RePEc:bla:jorssc:v:44:y:1995:i:1:p:51-61
    DOI: 10.2307/2986194
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    Cited by:

    1. Yuichi Goto & Masanobu Taniguchi, 2020. "Discriminant analysis based on binary time series," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(5), pages 569-595, July.
    2. Carsten Jentsch & Lena Reichmann, 2019. "Generalized Binary Time Series Models," Econometrics, MDPI, vol. 7(4), pages 1-26, December.
    3. Richard J. Cook, 1999. "A Mixed Model for Two-State Markov Processes Under Panel Observation," Biometrics, The International Biometric Society, vol. 55(3), pages 915-920, September.
    4. Anders Ekholm & John W. McDonald & Peter W. F. Smith, 2000. "Association Models for a Multivariate Binary Response," Biometrics, The International Biometric Society, vol. 56(3), pages 712-718, September.

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