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Mathematics
UK
2026

D-Index & Metrics

Mathematics

D-Index
88
Citations
74312
World Ranking
84
National Ranking
3

Patrick Royston publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Patrick Royston sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 280 publications — 83rd percentile

83% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Patrick Royston D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Patrick Royston sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 88 D-Index — 98th percentile

98% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2026 - Research.com Mathematics in United Kingdom Leader Award
  • 2025 - Research.com Mathematics in United Kingdom Leader Award
  • 2022 - Research.com Mathematics in United Kingdom Leader Award

Overview

Patrick Royston is a researcher affiliated with University College London in the United Kingdom. Their work is primarily situated within the field of mathematics, with a specific focus on statistics and probability. Royston's research intersects several subfields, including cancer research, economics and econometrics, pulmonary and respiratory medicine, as well as radiology, nuclear medicine, and imaging.

Their main topics of research encompass statistical methods in clinical trials, statistical methods and inference, statistical methods and Bayesian inference, advanced statistical methods and models, health systems including economic evaluations and quality of life, advanced causal inference techniques, and cancer genomics and diagnostics.

Royston has contributed to a number of scientific publications, with recent papers including:

  • A simulation study comparing the power of nine tests of the treatment effect in randomized controlled trials with a time-to-event outcome, 2020, Trials
  • A flexible parametric accelerated failure time model and the extension to time-dependent acceleration factors, 2022, Biostatistics
  • State of the art in selection of variables and functional forms in multivariable analysis-outstanding issues, 2020, Diagnostic and Prognostic Research
  • Doug Altman: Driving critical appraisal and improvements in the quality of methodological and medical research, 2020, Biometrical Journal

Royston has frequently published in venues such as The Stata Journal Promoting communications on statistics and Stata, Diagnostic and Prognostic Research, Biostatistics, Trials, and Biometrical Journal.

Throughout their career, Royston has collaborated with several frequent co-authors, including:

  • Willi Sauerbrei
  • Mahesh Parmar
  • Michael J. Crowther
  • Mark Clements
  • Aris Perperoglou

Best Publications

  • Multiple imputation using chained equations: Issues and guidance for practice

    Ian R. White;Patrick Royston;Angela M. Wood

  • Multiple imputation for missing data in epidemiological and clinical research: potential and pitfalls.

    Jonathan A C Sterne;Ian R White;John B Carlin;Michael Spratt

  • Analysis of serial measurements in medical research.

    J. N. S. Matthews;D. G. Altman;M. J. Campbell;P. Royston

  • Regression using fractional polynomials of continuous covariates: parsimonious parametric modelling.

    P. Royston;D.G. Altman

  • Multiple Imputation of Missing Values

    Patrick Royston

  • The cost of dichotomising continuous variables

    Douglas G Altman;Patrick Royston

  • Dichotomizing continuous predictors in multiple regression: a bad idea.

    Patrick Royston;Douglas G. Altman;Willi Sauerbrei

  • What do we mean by validating a prognostic model

    Douglas G. Altman;Patrick Royston

  • Flexible parametric proportional-hazards and proportional-odds models for censored survival data, with application to prognostic modelling and estimation of treatment effects.

    Patrick Royston;Mahesh K. B. Parmar

  • Prognosis and prognostic research: what, why, and how?

    Karel G M Moons;Patrick Royston;Yvonne Vergouwe;Diederick E Grobbee

  • Multiple Imputation by Chained Equations (MICE): Implementation in Stata

    Patrick Royston;Ian R. White

  • Prognosis and prognostic research: Developing a prognostic model

    Patrick Royston;Karel G M Moons;Douglas G Altman;Yvonne Vergouwe

  • The use of fractional polynomials to model continuous risk variables in epidemiology.

    Patrick Royston;Gareth Ambler;Willi Sauerbrei

  • Selection of important variables and determination of functional form for continuous predictors in multivariable model building.

    Willi Sauerbrei;Patrick Royston;Harald Binder

  • Multiple imputation of missing values: Update of ice

    Patrick Royston

  • Restricted mean survival time: an alternative to the hazard ratio for the design and analysis of randomized trials with a time-to-event outcome

    Patrick Royston;Mahesh K B Parmar

  • External validation of a Cox prognostic model: principles and methods

    Patrick Royston;Douglas G Altman

  • Imputing missing covariate values for the Cox model.

    Ian R. White;Patrick Royston

  • combining estimates of interest in prognostic modelling studies after multiple imputation: current practice and guidelines

    Andrea Marshall;Andrea Marshall;Douglas G Altman;Roger L Holder;Patrick Royston

  • The design of simulation studies in medical statistics

    Andrea Burton;Douglas G. Altman;Patrick Royston;Roger L. Holder

  • Multiple imputation of missing values: update

    Patrick Royston

  • The use of fractional polynomials to model continuous risk variables in epidemiology, International Journal of Epidemiology

    P Royston;G Ambler;W Sauerbrei

Frequent Co-Authors

Douglas G. Altman
Douglas G. Altman University of Oxford
Mahesh K. B. Parmar
Mahesh K. B. Parmar University College London
Ian R. White
Ian R. White University College London
Karel G.M. Moons
Karel G.M. Moons Utrecht University
Tom Bourne
Tom Bourne Imperial College London
Nicholas J. Wald
Nicholas J. Wald Queen Mary University of London
John B. Carlin
John B. Carlin University of Melbourne
Andre Pascal Kengne
Andre Pascal Kengne South African Medical Research Council
Joanne F. Aitken
Joanne F. Aitken Cancer Council Queensland
Stuart Campbell
Stuart Campbell University of Cambridge

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