Brenton Clarke  from Murdoch University in Perth Australia.

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    Dr Brenton Clarke
    BSc Hons I, PhD, AStat

    Adjunct Senior Lecturer

    About me

    After gaining my BSc Hons I from The Flinders University of South Australia I completed a PhD in Statistics while on the Staff at the Australian National University. Subsequently I held a post doctoral position at the University of London’s Royal Holloway College, a Wissenschaftliche mit Arbeiter position at ETH Zurich, and a Visiting Professor position in the Fall semester at the University of North Carolina at Chapel Hill. I have since worked at Murdoch University at a lecturer level B position 1984-1993 and as a Senior Lecturer 1994-July 2021. I thus have 37 years teaching and research experience at Murdoch University.  I have been apointed as adjunct Senior Lecturer at Murdoch University from the 31st July 2021 for a 3 year period. My research interests are in areas of robust statistics, linear models, and time series analysis, including collaborations in extractive metallurgy, sustainability, biology, veterinary science, and medicine. I have taught mathematics and statistics units including units on time series analysis as well as applied statistics, statistical design, and data analysis. At the honours year level I have taught Linear Models out of my own research and teaching text  called Linear Models The Theory and Application of Analysis of Variance, a John Wiley & Sons publication. Recently I have published a second volume which is in the area of robust statistics, titled Robustness Theory and Application.  I see all this in view of my vocation which until July 30th 2021 was as an academic in research and teaching in mathematics and statistics.  I continueI to research in statistics and cosupervise research students in my role as an adjunct.  I am currently Vice President of the WA Branch of the Statistical Society of Australia after serving two years as president and after filling that role previously in 2006-7.  Also I am Chair of the Frank Hansford-Miller Fellowship Committee.  I have a supportive family with a wife and two children.

    Teaching area

    Until 30th July 2021 I was Teaching and Coordinating

    MAS222 Probability and Statistical Inference

    MAS352 Time Series Analysis

    MAS511 Honours Topic in Statistics

    ICT513 Data Analytics

    MAS514 Research Methods in Statistics

    MAS353 Statistical Design and Data Analysis

    MAS223 Applied Statistics

    Honours Units  include Linear Models, Robust Computational Statistics,

    Medical Statistics, and Time Series.

    In the distant past I taught MAS272 Operations Research, and large service courses including MAS164 Fundamentals of Mathematics, MAS180 Introduction to Statistics, MAS183 Statistical Data Analysis, and MAS160 Introduction to Mathematics.  (Enrolments in the hundreds).

    I have also taught MAS284 Applied Statistics and tutored in A113 Foundations of Science and Technology and MAS161 Calculus and Matrix Algebra and taught a unit in BASIC Computer language which spawned the Computer Science Department.

    I have supervised 18 successful students in their honours dissertations, many of which received 1st Class.


    Research areas

    My areas of research include Linear Models, Time Series, and Robust Statistics, with applications in other areas such as biology, veterinary science, medicine and environment and sustainability, and  extractive metallurgy.

    Current projects

    I am collaborating with an extractive metallurgist, a part time staff member, and a fellow statistician from UWA regarding classification of gold ore.

    I am also working on a joint project with a veterinary researcher from the UK in statistics of ACTH levels in donkeys.  This incorporates robust estimation and data from a UK database and follows on from a successful publication on ACTH levels in horses in 2021.

    Relatively recently I have been working with Professor Ela Wendell on analysis of desalination data to do with membranes used for desalination purposes. This is ongoing research with Dr Ross Bowden and Xu Li.  Dr Li received her PhD in 2020 based on some of this joint work.

    More generally I am interested in outlier detection using adaptive techniques with applications and have interests in time series analysis and linear models. I have a jointly written paper with my successful honours student from 2019 on the forward search comparing different outlier detection methods and illustration of clustering using our preferred method.

    I am working on a 2nd edition of my book Linear Models The Theory and Application of Analysis of Variance.

    Awards and grants

    2011 Measuring common adverse events, dose response and efficacy from usual chiropractic care. A randomised controlled trial.    Walker, Bruce;  Clarke, Brenton; Losco, Barrett.    Chiropractors Registration Board of Victoria (CRBV)

    2013 Elected Member of the ISI

    2019 Small Grant College of Science Health Engineering and Education $4,000 for visit by Professor Andy Durham Liphook Equine Hospital, UK

    Events and speaking engagements

    2012 Contributed talk to the Australian Statistics Conference (ASC2012)

    2013 Contributed talk to the IBS Australasian Regional Conference: Biometrics by the Canals in Mandurah.

    2015 Contributed talk to the IBS Australasian Regional Conference: Biometrics by the Harbour: Hobart

    2016 Contributed Talk at International Conference on Robust Statistics 2016 in Geneva.

    2016 Contributed Talk at The International Conference on Environmental Statistics, Edinburgh.

    2016 Contributed Talks at the University of Glasgow and NTNU Trondheim.

    2018 Invited Talk ANU College of Business and Economics: Trimmed Estimators – For Identifying Outliers – and a Hybrid-Censored Data Approach to Estimation

    2019 December IBS-AR in Adelaide:  Trimmed Estimators – and a Hybrid-Censored Data Approach to Estimation

    2020 June 9 Seminar WA Branch of the Statistical Society of Australia: A generalization of orthogonal components in analysis of variance.

    Professional and community service

    2004-5 Vice President of the Statistical Society of Australia WA Branch Inc.

    2006-8 President of the Statistical Society of Australia WA Branch Inc.

    2010 Chair of the Program Committee Australian Statistics Conference 2010

    2010 Member of the Organizing Committee ASC2010

    2012 Member of the Program Committee ASC2012

    2012-2016, 2018-2021 Chair of the Frank Hansford-Miller Fellowship Committee WABranch SSAI Inc. Including arranging visits to Murdoch University 2013 Dr Janet Godolphin, University of Surrey and 2015 Professor Adrian Bowman, University of Glasgow and 2019 Professor Cathryn Lewis, Kings College, University of London, 2021 Associate Professor Manuel Hererra, Cambridge University

    2012-13 Member of the Scientific Committee for the Regional IBS Conference in Mandurah Dec 2013

    2014-19 Member of the Awards Funding Committee for the International Biometrics Society

    2017 Member of the Scientific Committee of the International Conference on Robust Statistics, held in Wollongong, NSW, July.

    2019-2020 President of the WA Branch of the Statistical Society of Australia

    2021 Vice President of the WA Branch of the Statistical Society of Australia

    Doctoral and masters supervisions

    1999 David Gamble, PhD, The analysis of contaminated tidal data

    2005 Daniel D Schubert PhD A multivariate adaptive trimmed likelihood algorithm

    2018 Ross S Bowden PHD Modelling Joint Autoregressive Moving Average   Processes

    Current PhD Student  (Joint supervisors Graeme Hocking, Brenton Clarke, Alethea Rea, Dean Diepeveen)

    2021 Angelika Pilkington:  Tests for heteroscedasticity in experimental designs incorporating fixed and random factors and covariates applicable to agricultural field-based plant stress trials

    Current Research Masters in Training Student  (Joint Supervisors: Kevin Wong, Brenton Clarke, Shri Rai)

    2021 Alistair Martin



    • Clarke, B., (2018),Robustness Theory and Application,John Wiley & Sons, Inc..
    • Clarke, B., (2008),Linear Models, The Theory and Application of Analysis of Variance,John Wiley & Sons.


    • Durham, A., Clarke, B., Poitier, J., Hammarstrand, R., Malone, G., (2021), Clinically and Temporally specific diagnostic thresholds for plasma ACTH in the horse., Equine Veterinary Journal BEVA, 53, , pages 250 - 260.
    • Farhadian, R., Clarke, B., (2020), A note on the Helmert transformation, Communications in Statistics: Theory and Methods, Online 3 Nov 2020, , pages -.
    • Daniel, L., Clarke, B., Parsons, D., (2019), Performance of sample preparation for determination of gold in samples of geological origin, Geostandards and Geoanalytical Research, 43, 3, pages 435 - 452.
    • Clarke, B., Simes, D., Mouchel, B., (2018), Anaesthesia Clinicians Estimate Blood Pressure by Feeling the Radial Pulse: A Randomised, Controlled Trial, Biostatistics and Biometrics Open Access Journal, 5, 1, pages 2573 - 2633.
    • Bowden, R., Clarke, B., (2017), Using multivariate time series methods to estimate location and climate change effects on temperature readings employed in electricity demand simulation, Australian & New Zealand Journal of Statistics, 59, 4, pages 413 - 431.
    • Clarke, B., Davidson, T., Hammarstrand, R., (2017), A comparison of the L2 minimum distance estimatorand the EM-algorithm when fitting k-componentunivariate normal mixtures, Statistical Papers, 58, , pages 1247 - 1266.
    • Clarke, B., Holler, A., Muller, C., Wamahiu, K., (2017), Investigation of the performance of trimmedestimators of life time distributions with censoring, Australian & New Zealand Journal of Statistics, 59, 4, pages 513 - 525.
    • Muller, C., Szugat, S., Celik, N., Clarke, B., (2016), Trimmed likelihood estimators for lifetime experiments and their influence functions, Statistics, 50, 3, pages 505 - 524.
    • Barton, A., Clarke, B., Dell, B., Knight, A., (2014), Post-emergent herbicidal activity of cineole derivatives, Journal of Pest Science, 87, 3, pages 531 - 541.
    • Walker, B., Hebert, J., Stomski, N., Clarke, B., Bowden, R., Losco, B., French, S., (2013), Outcomes of Usual Chiropractic. The OUCH Randomized Controlled Trial of Adverse Events, Spine (Philadelphia, 1976), 38, 20, pages 1723 - 1729.
    • Bowden, R., Clarke, B., (2012), A single series representation of multiple independent ARMA processes, Journal of Time Series Analysis, 33, 2, pages 304 - 311.
    • Clarke, B., McKinnon, P., Riley, G., (2012), A fast robust method for fitting gamma distributions, Statistical Papers, 53, 4, pages 1001 - 1014.
    • Walker, B., Losco, B., Clarke, B., Hebert, J., French, S., Stomski, N., (2011), Outcomes of Usual Chiropractic, Harm & efficacy, the OUCH study: study protocol for a randomized controlled trial, Trials, 12, , pages -.
    • Gaikhorst, G., Clarke, B., McPharlin, M., Larkin, B., McLaughlin, J., Mayes, J., (2011), The captive husbandry and reproduction of the pink-eared turtle (Emydura victoriae) at Perth Zoo, Zoo Biology, 30, 1, pages 79 - 94.
    • Bednarski, T., Clarke, B., Schubert, D., (2010), Adaptive trimmed likelihood estimation in regression, Discussiones Mathematicae. Probability and Statistics, 30, 2, pages 203 - 219.
    • Matson, P., Power, V., Kappelle, W., Clarke, B., (2008), Urine osmolality is equivalent to creatinine concentration for normalising urinary progestogen in the numbat (Myrmecobius fasciatus), Australian Mammalogy, 30, , pages 43 - 45.
    • Matson, P., Webb, S., Kappelle, W., Clarke, B., (2007), The Benefits and Limitations of the Sperm Quality Analyzer IIB in Assessing Porcine Sperm Motility, Archives of Andrology: Journal of Reproductive Systems, 53, , pages 359 - 365.
    • Clarke, B., Futschik, A., (2007), On the convergence of Newton's method when estimating higher dimensional parameters, Journal of Multivariate Analysis, 98, 5, pages 916 - 931.
    • Clarke, B., Schubert, D., (2006), An adaptive trimmed likelihood algorithm for identification of multivariate outliers, Australian & New Zealand Journal of Statistics, 48, 3, pages 353 - 371.
    • Clarke, B., McKinnon, P., (2005), Robust inference and modelling for the single ion channel, Journal of Statistical Computation and Simulation, 75, 7, pages 513 - 529.
    • Futschik, A., Clarke, B., (2004), Improving bandwidth selection methods by adding qualitative constraints, Computational Statistics, 19, , pages 445 - 453.
    • Clarke, B., Monaco, A., (2004), Some inferential questions in regard to analysing two-way layouts and associated linear model theory and practice, Discussiones Mathematicae. Probability and Statistics, 24, , pages 183 - 195.
    • Clarke, B., Milne, C., (2004), Small sample bias correction for Huber's proposal-2 Scale M-estimator, Australian & New Zealand Journal of Statistics, 46, 4, pages 649 - 656.
    • Bednarski, T., Clarke, B., (2002), Asymptotics for an adaptive trimmed likelihood location estimator, Statistics, 36, 1, pages 1 - 8.
    • Clarke, B., (2002), A representation of orthogonal components in analysis of variance, International Mathematical journal, 1, , pages 133 - 147.
    • Clarke, B., (2000), An adaptive method of estimation and outlier detection in regression applicable for small to moderate sample sizes, Discussiones Mathematicae. Probability and Statistics, 20, 1, pages 25 - 50.
    • Clarke, B., Gamble, D., Bednarski, T., (2000), A note on robustness of the beta-trimmed mean, Australian & New Zealand Journal of Statistics, 42, 1, pages 113 - 117.
    • Clarke, B., (2000), A remark on robustness and weak continuity of M-estimators, Journal of the Australian Mathematical Society. Series A: Pure Mathematics and Statistics, 68, , pages 411 - 418.
    • Clarke, B., (2000), A review of differentiability in relation to robustness with an application to seismic data analysis, Proceedings of the Indian Science Academy- Series A (Physical Sciences), 66, 5, pages 467 - 482.
    • Clarke, B., Lewis, T., (1998), An outlier problem in the determination of ore grade, Journal of Applied Statistics, 25, 6, pages 751 - 762.
    • Bednarski, T., Clarke, B., (1998), On locally uniform expansions of regular functionals, Discussiones Mathematicae: Algebra and Stochastic Methods, 18, , pages 155 - 165.


    • Clarke, B., (2013),A small sample bias correction and implicationsfor inference,In: 59th ISI World Statistics Congress.