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American Journal of Epidemiology Vol. 140, No. 6: 565-571
Copyright © 1994 by The Johns Hopkins University School of Hygiene and Public Health


research-article

When Will Nondifferential Misclassification of an Exposure Preserve the Direction of a Trend?

Clarice A. Weinberg1,, David M. Umbach1 and Sander Greenland2

1Statistics and Biomathematics Branch, National Institute of Environmental Health Sciences Research Triangle Park, NC
2Department of Epidemiology, UCLA School of Public Health Los Angeles, CA

Reprint requests to Dr. Clance R. Weinberg, MD A3-03, Statistics and Biomathematics Branch, National Institute of Environmental Health Sciences, P.O. Box 12233, Research Triangle Park, NC 27709

Dosemeci et al. (Am J Epidemiol 1990;132:746–8) gave examples in which nondifferential misclassification of exposure reversed the direction of a trend. Gilbert (Am J Epidemiol 1991;134:440–1) proposed that these examples occurred because the errors in exposure were systematic, and she pointed out that the relation between the measured and the true exposure was not monotonic. Assuming that the mean response either monotonically increases or decreases with the true exposure and that the exposure misclassification is nondifferential, the authors show that if the mean value of the measured exposure increases with the true exposure, then the direction of the trend cannot be reversed. Consequently, Gilbert's intimation that reversal of trend can only occur when errors are systematic is correct. However, the present authors' result is stronger in that even when errors in assessing exposure do include a systematic component, if monotonicity can be assumed, reversal of trend cannot occur. The weaker condition of positive correlation between the measured and true exposure is not sufficient to guarantee nonreversal of trend, as they show by example.

bias (epidemiology); biometry; epidemiologic methods


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