Volume 17, Issue 13
Research Article

On the comparison of correlated proportions for clustered data

Nancy A. Obuchowski

Corresponding Author

E-mail address: nobuchow@bio.ri.ccf.org

Department of Biostatistics and Epidemiology, The Cleveland Clinic Foundation, 9500 Euclid Avenue, Cleveland, Ohio 44195‐5196, U.S.A.

Department of Biostatistics and Epidemiology, The Cleveland Clinic Foundation, 9500 Euclid Avenue, Cleveland, Ohio 44195‐5196, U.S.A.Search for more papers by this author

Abstract

McNemar's test is often used to compare two proportions estimated from paired observations. We propose a method extending this to the case where the observations are sampled in clusters. The proposed method is simple to implement and makes no assumptions about the correlation structure. We conducted a Monte Carlo simulation study to compare the size and power of the proposed method with a test developed earlier by Eliasziw and Donner. In the presence of intracluster correlation, the size of McNemar's test can greatly exceed the nominal level. The size of Eliasziw and Donner's test is also inflated for some correlation patterns. The proposed method, on the other hand, is close to the nominal size for a variety of correlation patterns, although it is slightly less powerful than Eliasziw and Donner's procedure. The proposed method is a good alternative to Eliasziw and Donner's test when, in practice, little is known about the correlation pattern of the data. © 1998 John Wiley & Sons, Ltd.

Number of times cited according to CrossRef: 98

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