Mary Meyer Professor

Office: Statistics Building 212

Phone: (970) 491-5762


Google Scholar:


  • PhD Statistics, University of Michigan


My main area of research is estimation and inference in statistical models with inequality constraints. This includes non-parametric function estimation using constrained regression splines, density and hazard function estimation with shape constraints, models with order restrictions.


  • One-sided testing of population domain means in surveysXiaoming Xu, Mary C. Meyer Survey Methodology.
  • Penalized Unimodal Spline Density Estimation with Applications to M-estimationXin Chen, Mary C. Meyer Journal of Statistical Planning and Inference.
  • Estimation and Inference for Partial Linear Regression Surfaces using Monotone Warped-Plane Splines. Mary C. Meyer Journal of Nonparametric Statistics, 1.
  • Improved variance estimation for inequality-constrained domain mean estimators using survey data. Xiaoming Xu, Mary C. Meyer Journal of Statistical Planning and Inference, 2021.
  • Estimation and inference of domain means subject to qualitative constraints.Cristian Oliva Aviles, Mary C. Meyer, Jean D. Opsomer Survey Methodology.
  • cgam: An R Package for the Constrained Generalized Additive ModelXiyue Liao, Mary C. Meyer Journal of Statistical Software, 2019.
  • Checking Validity of Monotone Domain Mean EstimatorsCristian Oliva Aviles, Mary C. Meyer, Jean D. Opsomer Canadian Journal of Statistics, 2, 2019.
  • Estimation and inference in mixed effect regression models using shape constraints, with application to tree height estimationXiyue Liao, Mary C. Meyer Journal of the Royal Statistical Society, Series C.
  • Probability and Mathematical Statistics: Theory, Applications, and Practice in RMary C. Meyer SIAM, 2019.
  • A Formal Method for Detecting and Describing Cultural Complexity: Extending Classical Consensus AnalysisMichael G. Lacy, Jeffrey G. Snodgrass, Mary C. Meyer, HJ Francois Dengah, Noah Benedict Field Methods, 3, 2018.
  • A Framework for Estimation and Inference in Generalized Additive Models with Shape and Order RestrictionsMary C. Meyer STATISTICAL SCIENCE, 4, 2018.
  • Convergence rates for constrained regression splinesMary C. Meyer, Soo-Young Kim, Haonan Wang JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2018.
  • Constrained Partial Linear Regression SplinesMary C. Meyer Statistica Sinica, 2018.
  • Change-point estimation using shape-restricted regression splinesXiyue Liao, Mary C. Meyer JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2017.
  • Testing against a linear regression model using ideas from shape-restricted estimationBodhisattva Sen, Mary C. Meyer JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2, 2017.
  • Penalized Isotonic RegressionJiwen Wu, Mary C. Meyer, Jean D. Opsomer Journal of Statistical Planning and Inference, 2016.
  • Shape selection in Landsat time series: A tool for monitoring forest dynamicsGretchen G. Moisen, Mary C. Meyer, Todd A. Schroeder, Xiyue Liao, Karen G. Schleeweis, Elizabeth A. Freeman, J Chris Toney Global change biology, 2016.
  • Survey estimation of domain means that respect natural orderingsJiwen Wu, Mary C. Meyer, Jean D. Opsomer Canadian Journal of Statistics, 4, 2016.
  • National Grass Trials Results from Eight States with 22 CutivarsJames E. Klett, Mary C. Meyer, et al Horticulture Science , 2016.
  • Penalized isotonic regressionJiwen Wu, Mary C. Meyer, Jean D. Opsomer Journal of Statistical Planning and Inference, 2015.
  • coneproj: An R package for the primal or dual cone projections with routines for constrained regressionXiyue Liao, Mary C. Meyer, others Journal of Statistical Software, 1, 2014.
  • A simple new algorithm for quadratic programming with applications in statisticsMary C. Meyer Communications in Statistics-Simulation and Computation, 5, 2013.
  • Constrained spline regression in the presence of AR (p) errorsHuan Wang, Mary C. Meyer, Jean D. Opsomer Journal of Nonparametric Statistics, 4, 2013.
  • Semi-parametric additive constrained regressionMary C. Meyer Journal of nonparametric statistics, 3, 2013.
  • Constrained penalized splinesMary C. Meyer Canadian Journal of Statistics, 1, 2012.
  • Improved power of one-sided testsMary C. Meyer, Jianqiang C. Wang Statistics & Probability Letters, 8, 2012.
  • Nonparametric estimation of a smooth density with shape restrictionsMary C. Meyer Statistica Sinica, 2012.
  • Bayesian estimation and inference for generalised partial linear models using shape-restricted splinesMary C. Meyer, Amber J. Hackstadt, Jennifer A. Hoeting Journal of Nonparametric Statistics, 4, 2011.
  • Estimation of Hazard Functions with Shape Restrictions Using Regression SplinesMary C. Meyer, Desale Habtzghi Nonparametric Statistics and Mixture Models: A Festschrift in Honor of Thomas P. Hettmansperger, the Pennsylvania State University, USA, 23-24 May 2008, 2011.
  • Nonparametric estimation of density and hazard rate functions with shape restrictionsMary C. Meyer, Desale Habtzghi Journal of Nonparametric Statistics, 2, 2011.
  • Testing the monotonicity or convexity of a function using regression splinesJianqiang C. Wang, Mary C. Meyer Canadian Journal of Statistics, 1, 2011.
  • Confounding in Observational Studies using Standardized Test Data: Careful Disentanglement of Statistical Interpretations and ExplanationsQuality Research in Literacy and Science EducationMary C. Meyer Springer, 2009.
  • Inference using shape-restricted regression splinesMary C. Meyer The Annals of Applied Statistics, 2008.
  • Estimating a Polya Frequency Function₂Jayanta Kumar Pal, Michael Woodroofe, Mary C. Meyer Lecture Notes-Monograph Series, 2007.
  • Consistency and power in tests with shape-restricted alternativesMary C. Meyer Journal of statistical planning and inference, 11, 2006.
  • Melody and word accent relationships in Ancient Greek musical documents: The pitch height ruleCharles H. Cosgrove, Mary C. Meyer The Journal of Hellenic Studies, 2006.
  • Prevalence and degree of childhood and adolescent overweight in rural, urban, and suburban GeorgiaRichard D. Lewis, Mary C. Meyer, Salli C. Lehman, Fredrick L. Trowbridge, James J. Bason, Katy H. Yurman, Zenong Yin Journal of School Health, 4, 2006.
  • Wider Shoes for Wider Feet?.Mary C. Meyer Journal of Statistics Education, 1, 2006.
  • Demographic Evidence That Human Ovulation Is Undetectable (At Least in Pair Bonds) 1Alexandra Brewis, Mary C. Meyer Current Anthropology, 3, 2005.
  • Marital coitus across the life courseAlexandra Brewis, Mary C. Meyer Journal of Biosocial Science, 04, 2005.
  • Software product assessment based on customer inputs: metrics and managerial implicationsPaul Damien, Mayuram S. Krishnan, Mary C. Meyer, Venkatram Ramaswamy International Journal of Services and Operations Management, 1, 2005.
  • Who wants airbags?Mary C. Meyer, Tremika Finney Chance, 2, 2005.
  • Consistent maximum likelihood estimation of a unimodal density using shape restrictionsMary C. Meyer, Michael Woodroofe Canadian Journal of Statistics, 1, 2004.
  • No evidence of a mid-cycle peak in women’s sexual activity based on very large samples.AMERICAN JOURNAL OF HUMAN BIOLOGYA Brewis, Mary C. Meyer2, 2004.
  • A test for linear versus convex regression function using shape-restricted regressionMary C. Meyer Biometrika, 1, 2003.
  • An evolutionary algorithm with applications to statisticsMary C. Meyer Journal of Computational and Graphical Statistics, 2, 2003.
  • Directed Walk Designs for Dose-Response Problems with Competing Failure ModesJanis Hardwick, Mary C. Meyer, Quentin F. Stout Biometrics, 2, 2003.
  • Does school, compared to home, provide a unique adaptive context for children’s ADHD-associated behaviors? A cross-cultural testAlexandra A. Brewis, Mary C. Meyer, Karen L. Schmidt Cross-cultural research, 4, 2002.
  • On the biocultural study of children’s hyperactive and inattentive behaviorAlexandra Brewis, Karen Schmidt, Mary C. Meyer American Anthropologist, 1, 2002.
  • On the biocultural study of children’s hyperactive and inattentive behavior [5]Karen Schmidt, Mary C. Meyer American Anthropologist, 1, 2002.
  • Predictive variable selection in generalized linear modelsMary C. Meyer, Purushottam W. Laud Journal of the American Statistical Association, 459, 2002.
  • Uncounted Votes: Does Voting Equipment Matter?Mary C. Meyer Chance, 4, 2002.
  • Adaptive explanations of ADHD: An empirical test.AMERICAN JOURNAL OF PHYSICAL ANTHROPOLOGYAA Brewis, KL Schmidt, Mary C. Meyer2001.
  • An alternative unimodal density estimator with a consistent estimate of the modeMary C. Meyer Statistica Sinica, 2001.
  • Exploring the confidence interval for a binomial parameter in a first course in statistical computingMichael Henderson, Mary C. Meyer The American Statistician, 4, 2001.
  • ADHD-type behavior and harmful dysfunction in childhood: A cross-cultural modelAlexandra Brewis, Karen L. Schmidt, Mary C. Meyer American Anthropologist, 4, 2000.
  • On the degrees of freedom in shape-restricted regressionMary C. Meyer, Michael Woodroofe Annals of Statistics, 2000.
  • Scholarly Reaction: Letter Response to Dupagne and Waterman Determinants of US Television Fiction Imports in Western EuropeMary C. Meyer Journal of Broadcasting & Electronic Media, 4, 2000.
  • A comparison of nonparametric shape constrained bioassay estimatorsMary C. Meyer Statistics & probability letters, 3, 1999.
  • An extension of the mixed primal–dual bases algorithm to the case of more constraints than dimensionsMary C. Meyer Journal of Statistical Planning and Inference, 1, 1999.
  • Customer satisfaction for financial services: the role of products, services, and information technologyMayuram S. Krishnan, Venkatram Ramaswamy, Mary C. Meyer, Paul Damien Management science, 9, 1999.
  • An Extension of the Mixed Primal-Dual Bases Algorithm to the Case of More Constraints than Dimensions, with Applications to Nonparametric Shape Constrained Problems in Regression, Maximum Likelihood Density Estimation, and the Bioassay ProblemMCMeyer COMPUTING SCIENCE AND STATISTICS, 1998.
  • Effects of depleted uranium on decomposition and soil bacterial communitiesMary C. Meyer, Mark W. Paschke, T McLendon Society of Environmental Toxicology and Chemistry, Pensacola, FL (United States), 1995.