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Steven Gilmour

Professor Steven Gilmour

Head of Department of Mathematics

  • Professor in Statistics

Research interests

  • Mathematics

Biography

Steven Gilmour graduated with a BSc in Statistics from Heriot-Watt University in 1987 and a PhD in Applied Statistics from the University of Reading in 1991. He was Lecturer in Applied Statistics at the University of Reading from 1990-99, Reader in Statistics in the School of Mathematical Sciences at Queen Mary University of London from 2000-04, Professor of Statistics at Queen Mary, University of London from 2004-10, and Professor of Statistics in the School of Mathematical Sciences and the Statistical Sciences Research Institute at the University of Southampton from 2010-16. He joined King's College London as Professor of Statistics in the Department of Mathematics in 2016.

Research interests

Steven Gilmour's research is mostly on the statistical theory, methodology and applications of the design and analysis of experiments. Much of his research is on experiments with complex treatment structures, such as those with many variables (factorial designs), those with continuous levels (especially leading to nonlinear models) and those with several continuous variables (response surface methodology). Problems of choice of treatments, allocation of treatments to experimental units and links between design and modelling are all of importance to experimenters and lead to interesting statistical work.

 Some particular areas of recent and current research are:

  • ​Multi-stratum designs, in which practical restrictions on the randomisation lead to information  appearing at different levels of experimental unit from different treatment factors.

  • Multi-objective optimal design in which designs are sought which meet the multiple practical requirements that experimenters usually have.

  • Designs for multifactor nonlinear models, especially hybrid models in which mechanistic information is used to describe the effects of one or more factors on the response, but purely empirical models are used for the other factors' effects.

  • Designs for connected experimental units, where the usual assumption of treatment-unit additivity is not plausible and the design and modelling have to allow for this.

  • Factorial design which are good under model uncertainty, when it is not known which effects are expected before the experiment is run.

  • Design-based modelling of data from experiments, which is driven by the randomisation carried out, as well as what is know about the effects of treatments a priori.

These methods are applicable to experiments in many fields of application, but Steve has been particularly involved with applications in healthcare, pharmaceuticals, biochemistry, food, agrochemicals, biochemical engineering, horticulture and market research.

Further information

Research Profile and Publications

    Research

    cnes herox
    Centre for Non-Equilibrium Science (CNES)

    CNES acts as an international hub for cross-disciplinary research in non-equilibrium science.

    FEATURE CUSP Window
    Centre for Urban Science and Progress (CUSP) London

    Supporting interdisciplinary research and innovation in and for London

    ARTICLE Graphs 2
    Statistics

    The group has research strengths in the design and analysis of experiments, time series and Markov chain Monte Carlo and sequential Monte Carlo methods.

    News

    New cutting-edge Master's in Statistics launches at King's College London

    The new course kicks off in September 2023 for postgraduate students with strong mathematical research backgrounds.

    statistics data

    Audio-based AI unreliable for predicting Covid-19 infection, study finds

    Researchers found that technology using Machine Learning performed no better than simply asking people to report their symptoms

    Covid-19

    New scholarships scheme for postgraduate students

    King’s is delighted to be one of the founding partners of the Martingale Foundation established to support students hoping to study for a PhD in STEM subjects.

    Nev Strand campus

    Professor Steven Gilmour wins American Society for Quality: Statistics Division's Lloyd S Nelson Award

    The Department of Mathematics’ Professor Steven Gilmour, along with co-author Peter Goos from KU Leuven, Belgium, has received the American Society for...

    Professor Steven Gilmour

    New Head of the Department of Mathematics

    Professor Steven Gilmour has been appointed as the new Head of the Department of Mathematics from 1 August, taking over from Professor Reimer Kühn.

    Professor Steven Gilmour

    Events

    06JunTeacher-Blackboard

    British Mathematical Colloquium 2022

    The 73rd British Mathematical Colloquium, the principal cross-disciplinary meeting for pure and applicable mathematics in the UK, will take place in King's...

    Please note: this event has passed.

      Research

      cnes herox
      Centre for Non-Equilibrium Science (CNES)

      CNES acts as an international hub for cross-disciplinary research in non-equilibrium science.

      FEATURE CUSP Window
      Centre for Urban Science and Progress (CUSP) London

      Supporting interdisciplinary research and innovation in and for London

      ARTICLE Graphs 2
      Statistics

      The group has research strengths in the design and analysis of experiments, time series and Markov chain Monte Carlo and sequential Monte Carlo methods.

      News

      New cutting-edge Master's in Statistics launches at King's College London

      The new course kicks off in September 2023 for postgraduate students with strong mathematical research backgrounds.

      statistics data

      Audio-based AI unreliable for predicting Covid-19 infection, study finds

      Researchers found that technology using Machine Learning performed no better than simply asking people to report their symptoms

      Covid-19

      New scholarships scheme for postgraduate students

      King’s is delighted to be one of the founding partners of the Martingale Foundation established to support students hoping to study for a PhD in STEM subjects.

      Nev Strand campus

      Professor Steven Gilmour wins American Society for Quality: Statistics Division's Lloyd S Nelson Award

      The Department of Mathematics’ Professor Steven Gilmour, along with co-author Peter Goos from KU Leuven, Belgium, has received the American Society for...

      Professor Steven Gilmour

      New Head of the Department of Mathematics

      Professor Steven Gilmour has been appointed as the new Head of the Department of Mathematics from 1 August, taking over from Professor Reimer Kühn.

      Professor Steven Gilmour

      Events

      06JunTeacher-Blackboard

      British Mathematical Colloquium 2022

      The 73rd British Mathematical Colloquium, the principal cross-disciplinary meeting for pure and applicable mathematics in the UK, will take place in King's...

      Please note: this event has passed.