2019
DOI: 10.1214/18-sts692
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Two-Sample Instrumental Variable Analyses Using Heterogeneous Samples

Abstract: Instrumental variable analysis is a widely used method to estimate causal effects in the presence of unmeasured confounding. When the instruments, exposure and outcome are not measured in the same sample, Angrist and Krueger (1992) suggested to use two-sample instrumental variable (TSIV) estimators that use sample moments from an instrument-exposure sample and an instrument-outcome sample. However, this method is biased if the two samples are from heterogeneous populations so that the distributions of the inst… Show more

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Cited by 48 publications
(52 citation statements)
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“…This may be violated in practice 7 . Recently, large population-based biobanks have made available individual-level genome-wide data and data on a variety of exposures and outcomes, thus allowing well-powered one-sample MR studies.…”
Section: Introductionmentioning
confidence: 99%
“…This may be violated in practice 7 . Recently, large population-based biobanks have made available individual-level genome-wide data and data on a variety of exposures and outcomes, thus allowing well-powered one-sample MR studies.…”
Section: Introductionmentioning
confidence: 99%
“…iFunMed focuses on scenarios where GWAS and eQTL summary statistics are available from the same set of study subjects and treats multiple genetic variants as instrumental variables, akin to practice in Mendelian randomization (Davey Smith & Ebrahim, ). Generalizations of instrumental variable analysis that combine instrumental measurements, exposure and outcome/phenotype effects of which are measured on different study populations, have been recently addressed by Zhao, Wang, Bowden, and Small (). Although Mendelian randomization techniques employ the strong assumption that all the genetic effects on the phenotype are being mediated by the exposure variable—an assumption that can certainly be violated in our framework when other cellular/genomic events beyond gene expression is considered, it is still worth noting the important discussion of Zhao et al () with regard to the use of heterogeneous samples: They can lead to biased estimators and are less robust to model misspecifications.…”
Section: Discussionmentioning
confidence: 99%
“…That is, our estimate . This requires cohort 2 to be large and also homogenous with respect to cohort 1 ( 16 , 17 ). Further assume that our estimate for the SNP-outcome association has variance .…”
Section: Cochran’s Q Statisticmentioning
confidence: 99%