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Auteurs principaux: Su, Youpeng, Xu, Siqi, Ma, Yilei, Yin, Ping, Fung, Wing Kam, Jiang, Hongwei, Wang, Peng
Format: Preprint
Publié: 2024
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Accès en ligne:https://arxiv.org/abs/2402.15086
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author Su, Youpeng
Xu, Siqi
Ma, Yilei
Yin, Ping
Fung, Wing Kam
Jiang, Hongwei
Wang, Peng
author_facet Su, Youpeng
Xu, Siqi
Ma, Yilei
Yin, Ping
Fung, Wing Kam
Jiang, Hongwei
Wang, Peng
contents Mendelian randomization uses genetic variants as instrumental variables to make causal inferences about the effects of modifiable risk factors on diseases from observational data. One of the major challenges in Mendelian randomization is that many genetic variants are only modestly or even weakly associated with the risk factor of interest, a setting known as many weak instruments. Many existing methods, such as the popular inverse-variance weighted (IVW) method, could be biased when the instrument strength is weak. To address this issue, the debiased IVW (dIVW) estimator, which is shown to be robust to many weak instruments, was recently proposed. However, this estimator still has non-ignorable bias when the effective sample size is small. In this paper, we propose a modified debiased IVW (mdIVW) estimator by multiplying a modification factor to the original dIVW estimator. After this simple correction, we show that the bias of the mdIVW estimator converges to zero at a faster rate than that of the dIVW estimator under some regularity conditions. Moreover, the mdIVW estimator has smaller variance than the dIVW estimator.We further extend the proposed method to account for the presence of instrumental variable selection and balanced horizontal pleiotropy. We demonstrate the improvement of the mdIVW estimator over the dIVW estimator through extensive simulation studies and real data analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2402_15086
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A modified debiased inverse-variance weighted estimator in two-sample summary-data Mendelian randomization
Su, Youpeng
Xu, Siqi
Ma, Yilei
Yin, Ping
Fung, Wing Kam
Jiang, Hongwei
Wang, Peng
Methodology
Mendelian randomization uses genetic variants as instrumental variables to make causal inferences about the effects of modifiable risk factors on diseases from observational data. One of the major challenges in Mendelian randomization is that many genetic variants are only modestly or even weakly associated with the risk factor of interest, a setting known as many weak instruments. Many existing methods, such as the popular inverse-variance weighted (IVW) method, could be biased when the instrument strength is weak. To address this issue, the debiased IVW (dIVW) estimator, which is shown to be robust to many weak instruments, was recently proposed. However, this estimator still has non-ignorable bias when the effective sample size is small. In this paper, we propose a modified debiased IVW (mdIVW) estimator by multiplying a modification factor to the original dIVW estimator. After this simple correction, we show that the bias of the mdIVW estimator converges to zero at a faster rate than that of the dIVW estimator under some regularity conditions. Moreover, the mdIVW estimator has smaller variance than the dIVW estimator.We further extend the proposed method to account for the presence of instrumental variable selection and balanced horizontal pleiotropy. We demonstrate the improvement of the mdIVW estimator over the dIVW estimator through extensive simulation studies and real data analysis.
title A modified debiased inverse-variance weighted estimator in two-sample summary-data Mendelian randomization
topic Methodology
url https://arxiv.org/abs/2402.15086