On the comparison of correlated proportions for clustered data

NA Obuchowski - Statistics in medicine, 1998 - Wiley Online Library
NA Obuchowski
Statistics in medicine, 1998Wiley Online Library
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 …
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.
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