Ogburn Elizabeth L, Vanderweele Tyler J
Departments of Biostatistics and Epidemiology, Harvard School of Public Health, Boston, Massachusetts 02115.
Biometrika. 2013;100(1):241-248. doi: 10.1093/biomet/ass054.
Suppose we are interested in the effect of a binary treatment on an outcome where that relationship is confounded by an ordinal confounder. We assume that the true confounder is not observed, rather we observe a nondifferentially mismeasured version of it. We show that under certain monotonicity assumptions about its effect on the treatment and on the outcome, an effect measure controlling for the mismeasured confounder will fall between its corresponding crude and the true effect measures. We present results for coarsened, and, under further assumptions, for multiple misclassified confounders.
假设我们感兴趣的是二元处理对一个结果的影响,而这种关系被一个有序混杂因素所混淆。我们假设真实的混杂因素未被观察到,而是观察到了它的一个非差异误测版本。我们表明,在关于其对处理和结果的影响的某些单调性假设下,控制误测混杂因素的效应量将介于其相应的粗效应量和真实效应量之间。我们给出了粗化情况下的结果,并在进一步假设下给出了多个误分类混杂因素的结果。