World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
143251
World Ranking
2833
National Ranking
1155

Douglas M. Bates 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 Douglas M. Bates 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: 94 publications — 8th percentile

8% of scientists in this discipline score the same or lower.

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

Douglas M. Bates 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 Douglas M. Bates 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: 34 D-Index — 21st percentile

21% 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

  • 1992 - Fellow of the American Statistical Association (ASA)

Overview

Douglas M. Bates is affiliated with the University of Wisconsin-Madison in the United States. Their academic contributions span across several fields and topics, primarily focused on statistics and probability as well as areas related to oral surgery.

Their research involves advanced statistical methods and models, statistical methods and inference, statistical methods and Bayesian inference, and dental implant techniques and outcomes.

Frequent co-authors of Douglas M. Bates include:

  • Andreas Noack
  • Dave Kleinschmidt
  • Milan Bouchet-Valat
  • Dahua Lin
  • J.M. White

Douglas M. Bates has published in a number of venues, with a concentration in:

  • Zenodo (CERN European Organization for Nuclear Research)
  • Statistical Science
  • CHANCE
  • Proceedings on CD-ROM - International Society for Magnetic Resonance in Medicine. Scientific Meeting and Exhibition/Proceedings of the International Society for Magnetic Resonance in Medicine, Scientific Meeting and Exhibition

Recent papers authored or co-authored by Douglas M. Bates include:

  • MixedModels.jl, 2025, Zenodo (CERN European Organization for Nuclear Research)
  • A Conversation with Grace Wahba, 2020, Statistical Science
  • From CSV to Arrow: Creating a Unified Data Set for Efficient Cross-Platform Analysis, 2024, CHANCE

Douglas M. Bates was recognized as a Fellow of the American Statistical Association in 1992.

Best Publications

  • Fitting Linear Mixed-Effects Models Using lme4

    Douglas Bates;Martin Mächler;Benjamin M. Bolker;Steven C. Walker

  • Mixed-Effects Models in S and S-PLUS

    Josae C. Pinheiro;Douglas M. Bates

  • Mixed-effects modeling with crossed random effects for subjects and items

    R.H. Baayen;D.J. Davidson;D.M. Bates

  • Linear Mixed-Effects Models using 'Eigen' and S4

    Douglas Bates;Martin Maechler;Ben Bolker;Steven Walker

  • Nonlinear Regression Analysis and Its Applications

    Douglas M. Bates;Donald G. Watts

  • Nonlinear Mixed Effects Models for Repeated Measures Data

    Mary J. Lindstrom;Douglas M. Bates

  • Balancing Type I Error and Power in Linear Mixed Models

    Hannes Matuschek;Reinhold Kliegl;Shravan Vasishth;Harald R. Baayen

  • Approximations to the Log-Likelihood Function in the Nonlinear Mixed-Effects Model

    José C. Pinheiro;Douglas M. Bates

  • Newton-Raphson and EM Algorithms for Linear Mixed-Effects Models for Repeated-Measures Data

    Mary J. Lindstrom;Douglas M. Bates

  • Parsimonious Mixed Models

    Douglas Bates;Reinhold Kliegl;Shravan Vasishth;Harald Baayen

  • Relative Curvature Measures of Nonlinearity

    Douglas M. Bates;Donald G. Watts

  • LINEAR AND NONLINEAR MIXED-EFFECTS MODELS

    José Pinheiro;Douglas Bates;R-core

  • Unconstrained parametrizations for variance-covariance matrices

    José C. Pinheiro;Douglas M. Bates

  • Linear and Nonlinear Mixed Effects Models [R package nlme version 3.1-149]

    José Pinheiro;Douglas Bates;R-core

  • The cave of shadows: Addressing the human factor with generalized additive mixed models

    Harald Baayen;Shravan Vasishth;Reinhold Kliegl;Douglas Bates

  • Linear Mixed-Effects Models using 'Eigen' and S4 [R package lme4 version 1.1-27.1]

    Douglas Bates;Martin Maechler;Ben Bolker;Steven Walker

  • Estimating the Multilevel Rasch Model: With the lme4 Package

    Harold Doran;Douglas M. Bates;Paul Bliese;Maritza Dowling

  • Linear mixed models and penalized least squares

    Douglas M. Bates;Saikat DebRoy

  • Gcvpack – routines for generalized cross validation

    Douglas M. Bates;Mary J Lindstrom;Grace Wahba;Brian S Yandell

  • Fast and Elegant Numerical Linear Algebra Using the RcppEigen Package

    Douglas Bates;Dirk Eddelbuettel

  • The cave of Shadows. Addressing the human factor with generalized additive mixed models

    Harald Baayen;Shravan Vasishth;Douglas Bates;Reinhold Kliegl

Frequent Co-Authors

Reinhold Kliegl
Reinhold Kliegl University of Potsdam
Shravan Vasishth
Shravan Vasishth University of Potsdam
R. Harald Baayen
R. Harald Baayen University of Tübingen
Kent A. Weigel
Kent A. Weigel University of Wisconsin–Madison
Friedrich Leisch
Friedrich Leisch BOKU University
Kurt Hornik
Kurt Hornik Vienna University of Economics and Business
Daniel Gianola
Daniel Gianola University of Wisconsin–Madison
Grace Wahba
Grace Wahba University of Wisconsin–Madison
Guilherme J. M. Rosa
Guilherme J. M. Rosa University of Wisconsin–Madison

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, complementary online degrees can enhance career prospects and diversify skill sets. Many professionals consider enrolling in specialized programs such as a 1 year mba programs to quickly develop managerial skills that complement analytical expertise.

Another growing trend is the option to transfer credits between programs, making it easier to customize education paths. Understanding how can you transfer mba programs offers flexibility allows students to advance efficiently without sacrificing prior work.

Specialized degrees like analytics masters programs integrate mathematical rigor with big data skills to meet demand in sectors like finance, technology, and healthcare. These programs equip graduates for data-driven decision making, which is critical in today’s job market.

For those seeking accessible options, identifying the easiest mba program can be a strategic step to gain credentials quickly and enter leadership roles. Balancing rigorous math knowledge with business acumen can open diverse career pathways in academia, industry, or government.

Best Scientists Citing Douglas M. Bates

Trending Scientists