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Küchenhoff, Helmut and Bender, R. and Langner, I. and Lenz-Tönjes, R. (2003): Effect of Berkson measurement error on parameter estimates in Cox regression models. Collaborative Research Center 386, Discussion Paper 346
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Abstract

We study the effect of additive and multiplicative Berkson measurement error in Cox proportional hazard model. By plotting the true and the observed Survivor function and the true and the observed hazard function dependent on the exposure one can get ideas about the effect of this type of error on the estimation of the slope parameter corresponding to the variable measured with error. As an example we analyze the measurement error in the situation of the German Uranium Miners Study both with the graphical methods and with a simulation study We do not see a substantial bias in the presence of small measurement error and in the rare disease case. Even the effect of a Berkson measurement error with high variance, which is not unrealistic in our example, is a negligible attenuation of the observed effect. This effect is more pronounced for multiplicative measurement error.