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Dr Stuart Barber

Senior Lecturer

Contact details

Room: Satellite 10.22
Tel: +44 (0)113 3435146
Email: S.Barber @


Statistical bioinformatics
Applied statistics

Research interests

My main current area of interest is the application of wavelet methods in statistics. Wavelets are a class of functions which can be used to generate orthogonal bases for spaces of functions. Because of the way wavelets are designed, the description of a "nice" function in terms of a wavelet basis tends to be very efficient. Here, "efficient" means that you only need a few wavelets to describe quite complicated functions.

Wavelets have been used in engineering, signal processing, and numerical analysis for some time. In the last fifteen years the statistical community has been applying wavelets to problems including nonparametric regression, density estimation, time series analysis, and changepoint detection.

Useful links

Personal web page

Current postgraduate students

Huda Alshanbari (2013)
Philippa Burdett (2009)
Sangyu Lee (2017)


Keeble C, Adam Thwaites P, David Baxter P, Pgclthe SB, Charles Parslow R, Richard Law G Learning Through Chain Event Graphs: The Role of Maternal Factors in Childhood Type I Diabetes. Am J Epidemiol, 2017
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Aykroyd RG, Barber S, Miller LR Classification of multiple time signals using localized frequency characteristics applied to industrial process monitoring Computational Statistics and Data Analysis, 94, 351-362, 2016
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Keeble C, Baxter PD, Barber S, Law GR Participation Rates In Epidemiology Studies And Surveys: A Review 2007–2015 The Internet Journal of Epidemiology, 14, 1-14, 2016
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Nooney C, Gusnanto A, Gilks WR, Barber S Do protein structures evolve around 'anchor' residues? In Geometry Driven Statistics, 311-336, 2015
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Keeble C, Law GR, Barber S, Baxter PD Choosing a method to reduce selection bias: A tool for researchers Open Journal of Epidemiology, 5, 155-162, 2015
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Barber S, Voss J, Webster M The rate of convergence for approximate Bayesian computation Electronic Journal of Statistics, 9, 80-105, 2015
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Keeble C, Barber S, Law GR, Baxter PD Participation bias assessment in three high-impact journals SAGE Open, 3, 2014
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Keeble C, Barber S, Baxter PD, Parslow RC, Law GR Reducing Participation Bias in Case-Control Studies: Type 1 Diabetes in Children and Stroke in Adults Open Journal of Epidemiology, 4, 129-134, 2014
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Mardia KV, Fallaize CJ, Barber S, Jackson RM, Theobald DL Bayesian alignment of similarity shapes Annals of Applied Statistics, 7, 989-1009, 2013
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Mramba LK, Barber S, Hommola K, Dyer L, Wilson J, Forrister ML, Gilks WR Permutation tests for analysing cospeciation in multiple phylogenies: applications in tri-trophic ecology Statistical Applications in Genetics and Molecular Biology, 12, 679-701, 2012
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Farrell TL, Poquet L, Dew TP, Barber S, Williamson G Predicting phenolic acid absorption in Caco-2 cells: a theoretical permeability model and mechanistic study. Drug Metab Dispos, 40, 397-406, 2012
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Mardia KV, Nyirongo VB, Fallaize CJ, Barber S, Jackson RM Hierarchical bayesian modeling of pharmacophores in bioinformatics Biometrics, 67, 611-619, 2011
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Bunting E; Wood-Allum C; Barber S; Shaw P Congruent handedness and side of onset in ALS-evidence in favour of the exercise hypothesis?JOURNAL OF NEUROLOGY, 57-57 2011


Barber SC, Higginbottom A, Mead RJ, Barber S, Shaw PJ An in vitro screening cascade to identify neuroprotective antioxidants in ALS FREE RADICAL BIO MED, 46, 1127-1138, 2009

Barber S; Baxter PD; Mardia KV Systems Biology and Statistical Bioinformatics. Leeds University Press 2007

Walls RE, Barber S, Kent JT, Gilthorpe MS An adaptive empirical Bayesian thresholding procedure for analysing microarray experiments with replication J ROY STAT SOC C-APP, 56, 271-291, 2007

Marchant P; Baxter PD; Barber S Some statistical issues in the assessment of crime reduction interventions 2006
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Goodwin DA; Barber S; Aykroyd RG Modelling and predicting flow regimes using wavelet representationsWavelet Applications in Industrial Processing IV, U33-U40 2006

Goodwin DA; Aykroyd RG; Barber S Modelling and predicting flow regimes using wavelet representations of ERT data4th World Congress on Industrial Process Tomography 2005

Barber S; Baxter PD; Mardia KV; Walls RE Quantitative Biology, Shape Analysis, and Wavelets. Leeds University Press 2005

Goodwin DA; Barber S; Aykroyd RG Modelling and predicting flow regimes using wavelet representations of ERT dataQuantitative Biology, Shape Analysis, and Wavelets, 134-137 2005

Barber S All of statistics: a concise course in statistical inference J ROY STAT SOC A STA, 168, 261-261, 2005

Barber S, Nason GP Real nonparametric regression using complex wavelets Royal Statistical Society. Journal. Series B: Methodological, 66, 927-939, 2004

Aykroyd RG; Barber S; Mardia KV Bioinformatics, Images, and Wavelets. Leeds University Press 2004

Goodwin DA; Barber S; Aykroyd RG Wavelet packet modelling of seismic dataBioinformatics, Images, and Wavelets, 126-129 2004

Barber S Survival analysis using S: Analysis of time-to-event data J ROY STAT SOC A STA, 167, 768-768, 2004

Barber S; Nason GP Simulations comparing thresholding methods using real and complex waveletsReport 03:07 2003

Barber S An analysis of group size models for optimal group sequential clinical trials 2003

Barber S; Nason GP Denoising real images using complex-valued waveletsStochastic Geometry, Biological Structure and Images, 91-95 2003

Barber S; Nason GP Appendix to Real nonparametric regression using complex waveletsReport 03:13 2003

Barber S, Nason GP, Silverman BW Posterior probability intervals for wavelet thresholding Royal Statistical Society. Journal. Series B: Methodological, 64, 189-205, 2002

Barber S, Jennison C Optimal asymmetric one-sided group sequential tests Biometrika, 89, 49-60, 2002

Barber S OGSeT: Software for optimal group sequential clinical trialsReport 01:18 2001

Barber S Simulating from the posterior density of Bayesian wavelet regression estimatesReport 01:29 2001

Barber S, Jennison C Symmetric tests and confidence intervals for survival probabilities and quantiles of censored survival data Biometrics, 55, 430-436, 1999

Barber S; Jennison C Bootstrapping the Kaplan-Meier estimatorCompstat 1998, 139-140 1998

Barber S; Jennison C A review of inferential methods for the Kaplan-Meier estimator 1998

Keeble CM, Thwaites PA, Barber S, Law GR, Baxter PB Adaptations to Chain Event Graphs for use with Case-Control Studies International Journal of Biostatistics