Pleiotropy robust methods for multivariable Mendelian randomization.

"rcode for reproducing the simulation data is available at https://github com/aj-grant/robust-mvmr ."

"rcode for reproducing the simulation data is available at https://github com/aj-grant/robust-mvmr ."

"The authors thank Neil Davies for supplying some of the data used in the applied example, and Max Mandl for supplying a correction to the multivariable version of the mr_presso R function. Andrew J. Grant and Stephen Burgess are supported by a Sir Henry Dale Fellowship jointly funded by the Wellcome Trust and the Royal Society (grant number 204623/Z/16/Z). This research was funded by the NIHR Cambridge Biomedical Research Centre. The views expressed are those of the authors and not necessarily those of the NHS, the NIHR or the Department of Health and Social Care. For the purpose of open access, the author has applied a CC-BY public copyright licence to any Author Accepted Manuscript version arising from this submission."