A comparison of regression calibration, moment reconstruction and imputation for adjusting for covariate measurement error in regression.
A comparison of regression calibration, moment reconstruction and imputation for adjusting for covariate measurement error in regression.
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DOI：
10.1002/sim.3361
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发表时间：
2008-11-10
影响因子：
2
通讯作者：
Kipnis, Victor
中科院分区：
文献类型：
--
作者：
Freedman, Laurence S.;Midthune, Douglas;Carroll, Raymond J.;Kipnis, Victor
关键词：
当一个或多个连续解释变量X测量有误差时，回归校准（RC）是估计回归系数的常用方法。在该方法中，基于X的测量误差是非微分的假设，用期望E（X|W）代替误测的协变量W。通过仿真，我们比较了三种版本的RC与另外两种“替代”方法，即矩重建（MR）和imputation (IM)，这两种方法都不依赖于非微分误差假设。我们调查有内部校准子研究的研究。对于RC，我们考虑(i) RC的通常版本，（ii） RC仅适用于校准研究中的“标记”信息，以及（iii）将估计量(i)和（ii）组合在一起的“有效”版本（ERC）。结果表明，当存在非微分测量误差时，ERC是较好的。在这种情况下，ERC的效率低于MR或IM，但在流行病学中很少发生。我们表明，与其他方法相比，通常的RC和ERC的效率增益有时可能是惊人的。通常版本的RC在MR和IM上具有与ERC相似的效率增益，但随着测量误差变大而变得不稳定，导致偏差和精度差。当差分测量误差确实存在时，MR和IM的偏差比RC小得多，但可能有更大的方差。我们通过对一项大型队列研究中膳食脂肪摄入量和死亡率的分析来证明我们的发现。
Regression calibration (RC) is a popular method for estimating regression coefficients when one or more continuous explanatory variables, X, are measured with an error. In this method, the mismeasured covariate, W, is substituted by the expectation E(X|W), based on the assumption that the error in the measurement of X is non-differential. Using simulations, we compare three versions of RC with two other ‘substitution’ methods, moment reconstruction (MR) and imputation (IM), neither of which rely on the non-differential error assumption. We investigate studies that have an internal calibration sub-study. For RC, we consider (i) the usual version of RC, (ii) RC applied only to the ‘marker’ information in the calibration study, and (iii) an ‘efficient’ version (ERC) in which the estimators (i) and (ii) are combined. Our results show that ERC is preferable when there is non-differential measurement error. Under this condition, there are cases where ERC is less efficient than MR or IM, but they rarely occur in epidemiology. We show that the efficiency gain of usual RC and ERC over the other methods can sometimes be dramatic. The usual version of RC carries similar efficiency gains to ERC over MR and IM, but becomes unstable as measurement error becomes large, leading to bias and poor precision. When differential measurement error does pertain, then MR and IM have considerably less bias than RC, but can have much larger variance. We demonstrate our findings with an analysis of dietary fat intake and mortality in a large cohort study.
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影响因子：
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作者：
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通讯作者：
Greenland, Sander
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作者：
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通讯作者：
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