Prof R. A. Bailey

Professor

Researcher profile

Phone

+44 (0)1334 46 2877

Email

rab24@st-andrews.ac.uk

Office

317 MI

Location

Mathematical Institute

 

Teaching

I currently teach Design of Experiments.  Previously I have taught modules on Probability, other parts of Statistics, Group Theory, Association Schemes, other parts of Combinatorics.

Research areas

I have  been a half-time Professor of Statistics in the School of Mathematics and Statistics since 2013.  My previous jobs included ten years in agricultural research at Rothamsted Experimental Station,  as well as professorships at Goldsmiths College, University of London and Queen Mary University of London.

My research falls into three main areas, as follows.

(1) Design and analysis of experiments, including complicated blocking structures, complicated treatment structures, and multi-phase experiments. Applications in agriculture, horticulture, biodiversity in ecology, clinical trials.

(2) Combinatorics, including block designs, row-column designs, neighbour-balanced designs, and association schemes.

(3) Finite group theory, in particular the role of permutation groups in the randomization of experimental designs, and the role of finite Abelian groups in the construction of factorial designs.

For more details, see my personal web page.

Selected publications

• Open access

  The geometry of diagonal groups

  Bailey, R. A., Cameron, P. J., Praeger, C. E. & Schneider, C., Aug 2022, In: Transactions of the American Mathematical Society. 375, 8, p. 5259-5311

  Research output: Contribution to journal › Article › peer-review

• Open access

  Randomization-based models for multitiered experiments: I. A chain of randomizations

  Bailey, R. A. & Brien, C. J., Jun 2016, In: Annals of Statistics. 44, 3, p. 1131-1164 34 p.

  Research output: Contribution to journal › Article › peer-review

• Latin squares at Rothamsted in the time of Fisher and Yates

  Bailey, R. A., 12 May 2023, Research in history and philosophy of mathematics: the CSHPM 2021 volume. Zack, M. & Waszek, D. (eds.). Cham: Birkhäuser, p. 213-233 21 p. (Annals of the Canadian Society for History and Philosophy of Mathematics/ Société canadienne d’histoire et de philosophie des mathématiques).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

• Open access

  Equitable partitions of Latin-square graphs

  Bailey, R. A., Cameron, P. J., Gavrilyuk, A. L. & Goryainov, S. V., 1 Mar 2019, In: Journal of Combinatorial Designs. 27, 3, p. 142-160

  Research output: Contribution to journal › Article › peer-review

• A spectral analysis approach for experimental design

  Bailey, R. A., Diaconis, P., Rockmore, D. N. & Rowley, C., Oct 2015, Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center. Balan, R., Begué, M., Benedetto, J. J., Czaja, W. & Okoudjou, K. A. (eds.). Cham: Birkhäuser, p. 367-395 29 p. (Applied and Numerical Harmonic Analysis; vol. 4).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)

• Open access

  Relations among partitions

  Bailey, R. A., 2017, Surveys in Combinatorics 2017. Claesson, A., Dukes, M., Kitaev, S., Manlove, D. & Meeks, K. (eds.). Cambridge: Cambridge University Press, p. 1-86 86 p. (London Mathematical Society Lecture Note Series; vol. 440).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

• Open access

  Habitat complexity in aquatic microcosms affects processes driven by detritivores

  Flores, L., Bailey, R. A., Elosegi, A., Larrañaga, A. & Reiss, J., 1 Nov 2016, In: PLoS One. 11, 11, 15 p., e0165065.

  Research output: Contribution to journal › Article › peer-review

• Open access

  Higher biodiversity is required to sustain multiple ecosystem processes across temperature regimes

  Perkins, D. M., Bailey, R. A., Dossena, M., Gamfeldt, L., Reiss, J., Trimmer, M. & Woodward, G., Jan 2015, In: Global Change Biology. 21, 1, p. 396-406 11 p.

  Research output: Contribution to journal › Article › peer-review

• Open access

  Circular designs balanced for neighbours at distances one and two

  Aldred, R. E. L., Bailey, R. A., Mckay, B. D. & Wanless, I. M., Dec 2014, In: Biometrika. 101, 4, p. 943-956 14 p.

  Research output: Contribution to journal › Article › peer-review

• Open access

  Optimal cross-over designs for full interaction models

  Bailey, R. A. & Druilhet, P., Dec 2014, In: Annals of Statistics. 42, 6, p. 2282-2300 19 p.

  Research output: Contribution to journal › Article › peer-review

 

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