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Mantel–Haenszel estimators of a common odds ratio for multiple response data

Journal Article


Abstract


  • For a two-way contingency table, odds ratios are commonly used to describe the relationships between the row and column variables. In the ordinary case cells are mutually exclusive, that is each subject must fit into one and only one cell. However, in many surveys respondents may select more than one outcome category, commonly referred to as multiple responses. We discuss model-based and Mantel–Haenszel estimators of an assumed common odds ratio for several (Formula presented.) tables, where the two rows refer to independent groups and the c columns to multiple responses, treating the multiple responses as an extension of the multinomial sampling model. We derive new dually consistent (co)variance estimators for the Mantel–Haenszel odds ratio estimators and show their performance in a simulation study and illustrate the estimators on a linguistic data set.

Publication Date


  • 2018

Citation


  • Suesse, T. & Liu, I. (2018). Mantel–Haenszel estimators of a common odds ratio for multiple response data. Statistical Methods and Applications, Online First 1-20.

Scopus Eid


  • 2-s2.0-85047129663

Number Of Pages


  • 19

Start Page


  • 1

End Page


  • 20

Volume


  • Online First

Place Of Publication


  • Germany

Abstract


  • For a two-way contingency table, odds ratios are commonly used to describe the relationships between the row and column variables. In the ordinary case cells are mutually exclusive, that is each subject must fit into one and only one cell. However, in many surveys respondents may select more than one outcome category, commonly referred to as multiple responses. We discuss model-based and Mantel–Haenszel estimators of an assumed common odds ratio for several (Formula presented.) tables, where the two rows refer to independent groups and the c columns to multiple responses, treating the multiple responses as an extension of the multinomial sampling model. We derive new dually consistent (co)variance estimators for the Mantel–Haenszel odds ratio estimators and show their performance in a simulation study and illustrate the estimators on a linguistic data set.

Publication Date


  • 2018

Citation


  • Suesse, T. & Liu, I. (2018). Mantel–Haenszel estimators of a common odds ratio for multiple response data. Statistical Methods and Applications, Online First 1-20.

Scopus Eid


  • 2-s2.0-85047129663

Number Of Pages


  • 19

Start Page


  • 1

End Page


  • 20

Volume


  • Online First

Place Of Publication


  • Germany