Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 48, 2019 - Issue 4
Submit an article Journal homepage
152
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Optimal designs for multivariate logistic mixed models with longitudinal data

Hong-Yan JiangCollege of Mathematics and Science, Shanghai Normal University, Shanghai, China;Department of Mathematics and Physics, Huaiyin Institute of Technology, Huaian, Jiangsu, ChinaView further author information
,
Rong-Xian YueCollege of Mathematics and Science, Shanghai Normal University, Shanghai, China;Scientific Computing Key Laboratory of Shanghai Universities, Shanghai, ChinaCorrespondence[email protected]
View further author information
&
Xiao-Dong ZhouSchool of Statistics and Information, Shanghai University of International Business and Economics, Shanghai, ChinaView further author information
Pages 850-864 | Received 24 Feb 2017, Accepted 12 Dec 2017, Published online: 10 Jan 2018

References

  • Abebe, H. T. 2014. Bayesian optimal designs of binary repeated measurements. PhD thesis, Maastricht University, Maastricht.
  • Abebe, H. T., F. E. S. Tan, G. J. P. van Breukelen, and M. P. F. Berger. 2014. Bayesian D-optimal designs for the two parameter logistic mixed effects model. Computational Statistics and Data Analysis 71:1066–76.
  • Atkinson, A. C., A. N. Donev, and R. D. Tobias. 2007. Optimal experimental designs, with SAS. New York: Oxford university Press.
  • Breslow, N. E., and D. G. Clayton. 1993. Approximate Inference in generalized linear mixed models. Journal of the American Statistical Association 88:9–25.
  • Fang, K.-T., and Y. Wang. 1994. Number-theoretic methods in statistics. London: Chapman and Hall.
  • Khuri, A. I., B. Mukherjee, B. K. Sinha, and M. Ghosh. 2006. Design issue for generalized linear models: A review. Statistical Science 21:376–99.
  • Liang, K.-Y., and S. L. Zeger. 1986. Longitudinal data analysis using generalized linear models. Biometrika 73:13–22.
  • Lin, T. I., and W. L. Wang. 2013. Multivariate skew-normal linear mixed models for multi-outcome longitudinal data. Statistical Modelling 13:199–221.
  • Molenberghs, G., and G. Verbeke. 2005. Models for discrete longitudinal data. New York: Springer.
  • Ouwens, M. J. N. M., F. E. S. Tan, and M. P. F. Berger. 2006. A maximin criterion for the logistic random intercept model with covariates. Journal of Statistical Planning and Inference 136:962–81.
  • Ryan, E. G., C. C. Drovandi, J. M. McGree, and A. N. Pettitt. 2015. Simulation-based fully Bayesian experimental design for mixed effects models. Computational Statistics and Data Analysis 92:26–39.
  • Schmelter, T. 2007. The optimality of single-group designs for certain mixed models. Metrika 65:183–93.
  • Shah, A., N. Laird, and D. Schoenfeld. 1997. A random-effects model for multiple characteristics with possibly missing data. Journal of American Statistical Assiciation 92:775–79.
  • Tan, F. E. S., and M. P. F. Berger. 1999. Optimal allocation of time points for the random effects model. Communications in Statistics—Simulation and Computation 28:517–40.
  • Tekle, F. B. 2008. D-optimal designs for prospective cohort studies. PhD Thesis, Department of Methodology and Statistics, University of Maastricht, The Netherlands.
  • Tekle, F. B., F. E. S. Tan, and M. P. F. Berger. 2008. Maximin D-optimal designs for binary longitudinal responses. Computational Statistics and Data Analysis 52:53–62.
  • Wang, W. L., and T. H. Fan. 2010. ECM-based maximum likilihood inference for multivariate linear mixed models with autoregressive errors. Computational Statistics and Data Analysis 54:1328–41.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.