Classical methods of stereology were limited by the requirement that the cutting plane be randomly oriented. Baddeley developed an alternative technique[4] in which the cutting plane is "vertical" (parallel to a fixed axis, or perpendicular to a fixed surface) making it possible to apply quantitative microscopy to cylindrical core samples, samples of flat materials, and longitudinal sections.
Baddeley is a leading advocate of statistical ideas in stereology. With Cruz-Orive he demonstrated the role of the Horvitz-Thompson weighting principle and the Rao-Blackwell theorem in stereological sampling.[3]
Spatial statistics
Baddeley is one of the world leading specialists in point pattern analysis, a connection of stochastics and geometry applied to the analysis of (mainly) 2D point distributions in euclidean space. He has developed statistical methodologies for analyzing the structure of spatial patterns of points, including methods based on survival analysis,[5] nonparametrics,[6][7] new point process models,[8][9] model-fitting principles (i.e. 'regression analysis' for point patterns) and algorithms[10][11][12] and open-source software.[13]
Honours and awards
John Curtin Distinguished Professor Award (2016)[14]
^A. Baddeley, E. Rubak and R.Turner, "Spatial Point Patterns: Methodology and Applications with R", Chapman and Hall/CRC Press 2015.
^ abA. Baddeley and E.B. Vedel Jensen, Stereology for Statisticians, Chapman and Hall/CRC Press 2005.
^A.J. Baddeley, H.J.G. Gundersen, and L.M. Cruz-Orive. Estimation of surface area from vertical sections. Journal of Microscopy, 142:259-276, 1986
^
A.J. Baddeley and R.D. Gill, Kaplan-Meier estimators of interpoint distance distributions for spatial point processes. Annals of Statistics
25: 263-292, 1997.
^M.N.M. van Lieshout and A.J. Baddeley, A nonparametric measure of spatial interaction in point patterns.
Statistica Neerlandica 50:344-361, 1996.
^A. Baddeley, J. Møller and R. Waagepetersen, Non- and semiparametric estimation of interaction in inhomogeneous point patterns, Statistica Neerlandica 54: 329-350, 2000.
^A.J. Baddeley and J. Møller, Nearest-neighbour Markov point processes and random sets. International Statistical Review 57:89-121, 1989.
^A.J. Baddeley and M.N.M. van Lieshout, Area-interaction point processes. Annals of the Institute of Statistical Mathematics 47:601-619, 1995.
^A. Baddeley and T.R. Turner, Practical maximum pseudolikelihood for spatial point patterns. Australian and New Zealand Journal of Statistics 42:283-322, 2000
^A. Baddeley, J.-F. Coeurjolly, E. Rubak and R. Waagepetersen, Logistic regression for spatial Gibbs point processes. Biometrika 101:377-392, 2014.
^A. Baddeley and R. Turner. Spatstat: an R package for analyzing spatial point patterns. Journal of Statistical Software 12(6):1-42, 2005. www.jstatsoft.org