Summary
My role involves a mixture of application and methodology that typifies the work of the MRC Biostatistics Unit. I work with investigators at Royal Papworth Hospital, helping with the statistical aspects of clinical trials. I also spend time developing new methodology, with the aim of improving clinical trial design.
I recently (Nov 2020) submitted a PhD thesis, supervised by Adrian Mander and Michael Grayling. The aims of the work are to investigate improvements to single- and two-arm phase II clinical trials with binary outcomes, as well as multi-outcome multi-stage trials with continuous outcomes. The binary outcome work involves using stochastic curtailment to end trials when the final decision is otherwise not certain, while still preserving the specified type-I and type-II error-rates. The multi-outcome work involves generalising the number of outcomes that need to show promise in order to declare a trial a success. Normally, this is either one outcome or all outcomes, but our work allows any number of outcomes to be used.
I've created the following R packages for anyone who's interested in using these methods: SCsinglearm for stochastic curtailment in single-arm trials; twoarmSC for stochastic curtailment in two-arm trials and moms for multi-outcome multi-stage trials with continuous outcomes.
Selected Papers
Martin Law Michael J. Grayling Adrian P. Mander (2020) A stochastically curtailed two-arm randomised phase II trial design for binary outcomes. Pharmaceutical Statistics : 1-17
James Wason, Dominic Magirr, Martin Law, Thomas Jaki (2016) Some recommendations for multi-arm multi-stage trials. Statistical methods in medical research 2: 716-727
Martin Law, Navid Alam, Areti Angeliki Veroniki, Yi Yu, Dan Jackson (2019) Two new approaches for the visualisation of models for network meta-analysis. BMC Medical Research Methodology 19: 61
Matthew Joe Grima, Mourad Boufi, Martin Law, Dan Jackson, Kate Stenson, Benjamin Patterson, Ian Loftus, Matt Thompson, Alan Karthikesalingam, Peter Holt (2018) Editor's choice – the implications of non-compliance to endovascular aneurysm repair surveillance: a systematic review and meta-analysis. European Journal of Vascular and Endovascular Surgery 55: 4, 492-502
Dan Jackson, Martin Law, Theo Stijnen, Wolfgang Viechtbauer, Ian R White (2018) A comparison of seven random‐effects models for meta‐analyses that estimate the summary odds ratio. Statistics in Medicine 37: 7, 1059-1085
Martin Law, Dan Jackson (2017) Residual plots for linear regression models with censored outcome data: A refined method for visualizing residual uncertainty. Communications in Statistics - Simulation and Computation 4: 3159-3171
Martin Law, Dan Jackson, Rebecca Turner, Kirsty Rhodes, Wolfgang Viechtbauer (2016) Two new methods to fit models for network meta-analysis with random inconsistency effects. BMC Medical Research Methodology 16: 87
M Law, M.J. Sweeting, G Donaldson, J.A. Wedzicha (2017) Misspecification of at-risk periods and distributional assumptions in estimating COPD exacerbation rates: The resultant bias in treatment effect estimation. Pharmaceutical Statistics 16: 201-209
Martin Law, Dan Jackson, Rebecca Turner, Kirsty Rhodes, Wolfgang Viechtbauer (2016) Two new methods to fit models for network meta-analysis with random inconsistency effects. BMC Medical Research Methodology volume 16: 87
Simon E. Brill, Martin Law, Ethaar El-Emir, James P Allinson, Victoria Maddox, Irwin Nazareth, John R Hurst, Gavin C Donaldson, Timothy D Mchugh, Peter M A Calverley. Michael J Sweeting, Jadwiga A Wedzicha (2015)
Effects of different antibiotic classes on airway bacteria in stable COPD: a randomised controlled trial.. Thorax 10: 930-938
Donaldson GC, Law M, Kowlessar B, Singh R, Brill SE, Allinson JP, Wedzicha JA. (2015) Impact of Prolonged Exacerbation Recovery in Chronic Obstructive Pulmonary Disease. American Journal of Respiratory and Critical Care Medicine 8: 943-950
