Professor Santner's research interests are in the design of experiments and the analysis of discrete data. He is the co-author of a book on the design of experiments for statistical selection and screening. He is currently working with colleagues in the Biomedical Mechanics Program at Cornell University and Professor Bill Notz of Ohio State on a project to extend and adapt methodology from the literature on designing computer experiments to determine better engineering designs of prosthetic devices. Brian Williams, Bill Notz and he are co-authors of a text on the topic of designing and analyzing computer experiments. Currently, he and Professor Noel Cressie are working on a project involving functional magnetic resonance imaging, an area mathematically related area to computer experiments. Lastly, Professor Santner is interested in the analysis of discrete data and is the co-author, with Diane Duffy, of a graduate text on the subject. Professor Santner is the former Director of the Department's Statistical Consulting Service and former Department Chair.
Experiments Journal Club
“Multiobjective Optimization of Expensive Black-Box Functions via Expected Maximin Improvement,” J. D. Svenson and T. J. Santner (2016) Computational Statistics and Data Analysis, 250-264, DOI: 10.1016/j.csda.2015.08.011.
"Estimating Sensitivity Indices from Computer Simulator Output," J.D. Svenson, T.J. Santner, A. M. Dean, and Hyejung Moon (2014) Journal of Statistical Planning and Inference , 144 , 160-172.
"Two-stage Sensitivity-based Group Screening in Computer Experiments,"
Hyejung Moon, A. M. Dean, T.J. Santner (2012)
"Non-collapsing Space-filling Designs for
Bounded Non-rectangular Regions,"
D. Draguljic, T.J. Santner, A.M. Dean (2012)
"Algorithms for Generating Maximin Latin Hypercube
and Orthogonal Designs,"
H.J. Moon, T.J. Santner, A.M. Dean (2011)
Journal of Statistical Theory and Practice,
"Sequential Design of Computer Experiments
for Constrained Optimization,"
B.J. Williams, W.I.~Notz, and J. Lehman (2010)
Statistical Modelling and Regression Structures:
Festschrift in Honour of
"Simultaneous Determination of Tuning
and Calibration Parameters for Computer Experiments,"
G. Han, T.J. Santner, and J.J. Rawlinson (2009)
"Prediction for Computer Experiments
Having Quantitative and Qualitative Input Variables,"
G. Han, T. J. Santner, W.I. Notz, and
D.L. Bartel (2009)
"Local Bone Formation Due to Combined Mechanical Loading and Intermittent hPTH-(1-34) Treatment and its Correlation to Mechanical Signal Distributions," M.D. Roberts, T.J. Santner, and R.T. Hart (2009) Journal of Biomechanics, 42, 2431--2438. (pdf abstract)
"Robust Design for Acetabular Cup Stability Accounting for Patient and Surgical Variability," Kevin Ong, T. J. Santner, and Donald L. Bartel (2008) Journal of Biomechanical Engineering, 130, 031001--11. (pdf abstract)
"Acetabular Cup Geometry and Bone-Implant Interference have More Influence on Initial Periprosthetic Joint Space than Joint Loading and Surgical Cup Insertion," Kevin Ong, Jeffrey Lehman, William I. Notz, Thomas J. Santner, and Donald L. Bartel, (2006) Journal of Biomechanical Engineering, 148, 169-175. (pdf abstract)
"Robust Design and Analysis of Total Joint Replacements: Finite Element Model Experiments with Environmental Variables" with Paul B. Chang, Brian J. Williams, K. S. Bawa Bhalla, Thomas. W. Belknap, Thomas J. Santner, William I. Notz, Donald L. Bartel, in Jour. of Biomechanical Engineering, 123, 2001, 239-246. (pdf abstract)
"Sequential Design of Computer Experiments to Minimize Integrated Response Functions," with Brian Williams and William Notz, in Statistica Sinica, 10, 2000, 1133-1152. ( technical report)
"Robust Optimization of Total Joint Replacements Incorporating Environmental Variables," Paul B. Chang, Brian J. Williams, Thomas J. Santner, William I. Notz, and Donald L. Bartel, Jour. of Biomechanical Engineering, 121, 1999, 304-310. (pdf abstract)
"Sequential Design of Computer Experiments with Multiple Responses for Constrained Optimization," Brian J. Williams, Jeffrey S. Lehman, Thomas J. Santner, and William I. Notz, (pdf abstract)
"Selection and Screening Procedures to Determine Optimal Product Designs," G. Pan and T. Santner, Jour. Statist. Planning and Inference, 67, 311-330, 1998. (pdf abstract , bibtex reference )
"Designing Two-Factor Experiments for Selection that Allow Randomization Restrictions," G. Pan and T. Santner, Sankya, 59, 181--199, 1997. (pdf abstract, bibtex reference )
"The Use of Subset Selection in Combined Array Experiments to Determine Optimal Product or Process Designs," T. Santner and G. Pan, Advances in Statistical Decision Theory and Applications, (eds. S. Panchapakesan and N. Balakrishnan), Birkhauser, 417-430, 1997. (pdf abstract ,bibtex reference )
"Theory of Screening Procedures to Identify Robust Product Designs Using Fractional Factorial Experiments" G. Pan and T. Santner, to appear in Jour. Statist. Planning and Inference, ( pdf expanded technical report)
"The Planning and Analysis of Industrial Selection and Screening Experiments," G. Pan, T. J. Santner, and D. Goldsman, Handbook in Statistics: Industrial Experimentation, 23, 75--129, 2003. (pdf abstract; README for associated computer programs in pdf form, Windows executables of computer programs in a zip file, sources of computer programs in a gzipped tar file, bibtex reference )
"A Note on Teaching Large--Sample Binomial Confidence Intervals," Thomas Santner, Teaching Statistics, 20, 20-23, 1998. (pdf abstract, bibtex reference )
"Invariant Small Sample Confidence Intervals For The Difference Of Two Success Probabilities," Thomas Santner and Shin Yamagami, Communications in Statistics-Simulation and Computation, 22, 33-59, 1993. (pdf version , FORTRAN source code, bibtex reference )
"Detecting Stage-Wise Outliers in Hierarchical Bayesian Linear Models of Repeated Measures Data," Mario Peruggia, Thomas Santner, and Yu-Yun Ho, Annals of the Institute of Statistical Mathematics, 56, 415-433, 2004 (pdf abstract , bibtex reference).