Title | Bayesian methods for meta-analysis of causal relationships estimated using genetic instrumental variables. |
Publication Type | Journal Article |
Year of Publication | 2010 |
Authors | Burgess, S, Thompson, SG, Burgess, S, Thompson, SG, Andrews, G, Samani, NJ, Hall, A, Whincup, P, Morris, R, Lawlor, DA, Davey Smith, G, Timpson, N, Ebrahim, S, Ben-Shlomo, Y, Davey Smith, G, Timpson, N, Brown, M, Ricketts, S, Sandhu, M, Reiner, A, Psaty, B, Lange, L, Cushman, M, Hung, J, Thompson, P, Beilby, J, Warrington, N, Palmer, LJ, Nordestgaard, BG, Tybjaerg-Hansen, A, Zacho, J, Wu, C, Lowe, G, Tzoulaki, I, Kumari, M, Sandhu, M, Yamamoto, JF, Chiodini, B, Franzosi, M, Hankey, GJ, Jamrozik, K, Palmer, L, Rimm, E, Pai, J, Psaty, B, Heckbert, S, Bis, J, Anand, S, Engert, J, Collins, R, Clarke, R, Melander, O, Berglund, G, Ladenvall, P, Johansson, L, Jansson, J-H, Hallmans, G, Hingorani, A, Humphries, S, Rimm, E, Manson, J, Pai, J, Watkins, H, Clarke, R, Hopewell, J, Saleheen, D, Frossard, R, Danesh, J, Sattar, N, Robertson, M, Shepherd, J, Schaefer, E, Hofman, A, Witteman, JCM, Kardys, I, Ben-Shlomo, Y, Davey Smith, G, Timpson, N, de Faire, U, Bennet, A, Sattar, N, Ford, I, Packard, C, Kumari, M, Manson, J, Lawlor, DA, Smith, GDavey, Anand, S, Collins, R, Casas, JP, Danesh, J, Davey Smith, G, Franzosi, M, Hingorani, A, Lawlor, DA, Manson, J, Nordestgaard, BG, Samani, NJ, Sandhu, M, Smeeth, L, Wensley, F, Anand, S, Bowden, J, Burgess, S, Casas, JP, Di Angelantonio, E, Engert, J, Gao, P, Shah, T, Smeeth, L, Thompson, SG, Verzilli, C, Walker, M, Whittaker, J, Hingorani, A, Danesh, J |
Corporate/Institutional Authors | CRP CHD Genetics Collaboration, |
Journal | Stat Med |
Volume | 29 |
Issue | 12 |
Pagination | 1298-311 |
Date Published | 2010 May 30 |
ISSN | 1097-0258 |
Keywords | Bayes Theorem, Biostatistics, C-Reactive Protein, Fibrinogen, Genetic Markers, Humans, Meta-Analysis as Topic, Models, Statistical, Phenotype, Polymorphism, Single Nucleotide |
Abstract | <p>Genetic markers can be used as instrumental variables, in an analogous way to randomization in a clinical trial, to estimate the causal relationship between a phenotype and an outcome variable. Our purpose is to extend the existing methods for such Mendelian randomization studies to the context of multiple genetic markers measured in multiple studies, based on the analysis of individual participant data. First, for a single genetic marker in one study, we show that the usual ratio of coefficients approach can be reformulated as a regression with heterogeneous error in the explanatory variable. This can be implemented using a Bayesian approach, which is next extended to include multiple genetic markers. We then propose a hierarchical model for undertaking a meta-analysis of multiple studies, in which it is not necessary that the same genetic markers are measured in each study. This provides an overall estimate of the causal relationship between the phenotype and the outcome, and an assessment of its heterogeneity across studies. As an example, we estimate the causal relationship of blood concentrations of C-reactive protein on fibrinogen levels using data from 11 studies. These methods provide a flexible framework for efficient estimation of causal relationships derived from multiple studies. Issues discussed include weak instrument bias, analysis of binary outcome data such as disease risk, missing genetic data, and the use of haplotypes.</p> |
DOI | 10.1002/sim.3843 |
Alternate Journal | Stat Med |
PubMed ID | 20209660 |
PubMed Central ID | PMC3648673 |
Grant List | U.1052.00.001 / / Medical Research Council / United Kingdom G0600705 / / Medical Research Council / United Kingdom SP/08/007/23628 / / British Heart Foundation / United Kingdom RG/08/014/24067 / / British Heart Foundation / United Kingdom MC_U137686857 / / Medical Research Council / United Kingdom 082178 / / Wellcome Trust / United Kingdom R01 HL071862 / HL / NHLBI NIH HHS / United States G0601625 / / Department of Health / United Kingdom MC_U105260792 / / Medical Research Council / United Kingdom G0801566 / / Medical Research Council / United Kingdom G0601625 / / Medical Research Council / United Kingdom |