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Consecutive Collapsibility of Odds Ratios over an Ordinal Background Variable

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  • Guo, Jianhua
  • Geng, Zhi
  • Fung, Wing-Kam

Abstract

G. R. Ducharme and Y. Lepage (1986, J. Roy. Statist. Soc. Ser. B48, 197-205) presented the strong collapsibility of odds ratio in 22K tables. However, the concept is not suitable for an ordinal background variable since it is meaningless to pool nonadjacent levels in this case. In this paper, we introduce the consecutive collapsibility of odds ratios over an ordinal background in an IJK table and present necessary and sufficient conditions for consecutive collapsibility of odds ratios. The conditions are important for guiding the possible merging of consecutive levels of the background.

Suggested Citation

  • Guo, Jianhua & Geng, Zhi & Fung, Wing-Kam, 2001. "Consecutive Collapsibility of Odds Ratios over an Ordinal Background Variable," Journal of Multivariate Analysis, Elsevier, vol. 79(1), pages 89-98, October.
    • Handle: RePEc:eee:jmvana:v:79:y:2001:i:1:p:89-98
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    References listed on IDEAS

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    1. Nanny Wermuth & D.R. Cox, 1998. "On the Application of Conditional Independence to Ordinal Data," International Statistical Review, International Statistical Institute, vol. 66(2), pages 181-199, August.
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    Cited by:

    1. Binghui Liu & Jianhua Guo, 2013. "Collapsibility of Conditional Graphical Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 40(2), pages 191-203, June.

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