Professor Thomas Lumley
BSc(Hons), MSc, PhD
I attended Monash University (B.Sc.(Hons) in Pure Mathematics), the University of Oxford (M.Sc. in Applied Statistics) and the University of Washington, Seattle (PhD in Biostatistics). I spent twelve years on the faculty of the Department of Biostatistics at the University of Washington, and then moved to Auckland in 2010. I am still an Affiliate Professor at the University of Washington.
Research | Current
My research interests include
- Semiparametric models
- Survey sampling
- Statistical computing
- Foundations of statistics
- and whatever methodological problems his medical collaborators come up with -- currently, multiple imputation on big datasets
- The survey package for R is a fairly comprehensive system for analysis of data from complex probability samples.
- I have written a book on survey analysis, published by Wiley.
Teaching | Current
- STATS 765 S1 2020 (with Lisa Chen)
- STATS 763 S1 2020 (with Alain Vandal)
Potential student projects
- Likelihood of the empirical distribution function as an approach to Bayesian analysis of survey data.
- Mixed models under complex sampling -- and maybe network models, too
- Survey software: design and implementation of various things for the survey package in R or for database backends. Graphics, probability distributions, regression models, multivariate methods...
- Multiple imputation: implementing more general analysis rules than Rubin's, graphics and exploration
- Multiple response data: how to work with them in R
Fellow of the Royal Society of New Zealand
Fellow of the American Statistical Association
Selected publications and creative works (Research Outputs)
- Holbrook, A., Lumley, T., & Gillen, D. (2019). Estimating prediction error for complex samples. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 48 (2), 204-221. 10.1002/cjs.11527
- Chen, T., & LUMLEY, T. (2019). Numerical evaluation of methods approximating the distribution of a large quadratic form in normal variables. Computational Statistics and Data Analysis, 139, 75-81. 10.1016/j.csda.2019.05.002
Other University of Auckland co-authors: Tong Chen
- Lumley, T. (2019). Fast Generalized Linear Models by Database Sampling and One-Step Polishing. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 28 (4), 1007-1010. 10.1080/10618600.2019.1610312
- Fadason, T., Schierding, W., Lumley, T., & O'Sullivan JM (2018). Chromatin interactions and expression quantitative trait loci reveal genetic drivers of multimorbidities. Nature communications, 9 (1)10.1038/s41467-018-07692-y
Other University of Auckland co-authors: Tayaza Fadason, Justin O'Sullivan, William Schierding
- Oh, E. J., Shepherd, B. E., Lumley, T., & Shaw, P. A. (2018). Considerations for analysis of time-to-event outcomes measured with error: Bias and correction with SIMEX. Statistics in medicine, 37 (8), 1276-1289. 10.1002/sim.7554
- Rice, K., Higgins, J. P. T., & Lumley, T. (2018). A re-evaluation of fixed effect(s) meta-analysis. Journal of the Royal Statistical Society. Series A: Statistics in Society, 181 (1), 205-227. 10.1111/rssa.12275
- Lumley, T., & Scott, A. (2017). Fitting Regression Models to Survey Data. Statistical Science, 32 (2), 265-278. 10.1214/16-STS605
- Rivera, C., & Lumley, T. (2016). Using the whole cohort in the analysis of countermatched samples. Biometrics, 72 (2), 382-391. 10.1111/biom.12419
Other University of Auckland co-authors: Claudia Rivera Rodriguez