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Nonparametric variance estimation in the analysis of microarray data: a measurement error approach.


ABSTRACT: This article investigates the effects of measurement error on the estimation of nonparametric variance functions. We show that either ignoring measurement error or direct application of the simulation extrapolation, SIMEX, method leads to inconsistent estimators. Nevertheless, the direct SIMEX method can reduce bias relative to a naive estimator. We further propose a permutation SIMEX method which leads to consistent estimators in theory. The performance of both SIMEX methods depends on approximations to the exact extrapolants. Simulations show that both SIMEX methods perform better than ignoring measurement error. The methodology is illustrated using microarray data from colon cancer patients.

SUBMITTER: Carroll RJ 

PROVIDER: S-EPMC2670068 | biostudies-literature | 2008

REPOSITORIES: biostudies-literature

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Nonparametric variance estimation in the analysis of microarray data: a measurement error approach.

Carroll Raymond J RJ   Wang Yuedong Y  

Biometrika 20080101 2


This article investigates the effects of measurement error on the estimation of nonparametric variance functions. We show that either ignoring measurement error or direct application of the simulation extrapolation, SIMEX, method leads to inconsistent estimators. Nevertheless, the direct SIMEX method can reduce bias relative to a naive estimator. We further propose a permutation SIMEX method which leads to consistent estimators in theory. The performance of both SIMEX methods depends on approxim  ...[more]

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