The NLMIXED procedure fits nonlinear mixed models—that is, models in which both fixed and random effects enter nonlinearly. These models have a wide variety of applications, two of the most common being pharmacokinetics and overdispersed binomial data. PROC NLMIXED enables you to specify a conditional distribution for your data (given the random effects) having either a standard form (normal, binomial, Poisson) or a general distribution that you code using SAS programming statements. PROC NLMIXED fits nonlinear mixed models by maximizing an approximation to the likelihood integrated over the random effects. Different integral approximations are available, the principal ones being adaptive Gaussian quadrature and a first-order Taylor series approximation. A variety of alternative optimization techniques are available to carry out the maximization; the default is a dual quasi-Newton algorithm. Successful convergence of the optimization problem results in parameter estimates along with their approximate standard errors based on the second derivative matrix of the likelihood function. PROC NLMIXED enables you to use the estimated model to construct predictions of arbitrary functions by using empirical Bayes estimates of the random effects. You can also estimate arbitrary functions of the nonrandom parameters, and PROC NLMIXED computes their approximate standard errors by using the delta method.

References in zbMATH (referenced in 65 articles )

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  1. Li, Peizhi; Peng, Yingwei; Jiang, Ping; Dong, Qingli: A support vector machine based semiparametric mixture cure model (2020)
  2. Tracie L. Shing, John S. Preisser, Richard C. Zink: GEECORR: A SAS macro for regression models of correlated binary responses and within-cluster correlation using generalized estimating equations (2020) arXiv
  3. Preisser, John S.; Inan, Gul; Powers, James M.; Chu, Haitao: A population-averaged approach to diagnostic test meta-analysis (2019)
  4. Wang, Bei; Zheng, Yi; Irimata, Kyle M.; Wilson, Jeffrey R.: Bootstrap ICC estimators in analysis of small clustered binary data (2019)
  5. Yiyun Shou and Michael Smithson: cdfquantreg: An R Package for CDF-Quantile Regression (2019) not zbMATH
  6. Alberto Garcia-Hernandez; Dimitris Rizopoulos: %JM: A SAS Macro to Fit Jointly Generalized Mixed Models for Longitudinal Data and Time-to-Event Responses (2018) not zbMATH
  7. Aragon, Davi C.; Achcar, Jorge A.; Martinez, Edson Z.: Maximum likelihood and Bayesian estimators for the double Poisson distribution (2018)
  8. Delia Voronca; Mulugeta Gebregziabher; Valerie Durkalski-Mauldin; Lei Liu; Leonard Egede: MTPmle: A SAS Macro and Stata Programs for Marginalized Inference in Semi-Continuous Data (2018) not zbMATH
  9. Irimata, Kyle M.; Wilson, Jeffrey R.: Identifying intraclass correlations necessitating hierarchical modeling (2018)
  10. Nooraee, Nazanin; Molenberghs, Geert; Ormel, Johan; van den Heuvel, Edwin R.: Strategies for handling missing data in longitudinal studies with questionnaires (2018)
  11. Shoukri, Mohamed M.: Analysis of correlated data with SAS and R (2018)
  12. Dey, Sanku; Mazucheli, Josmar; Anis, M. Z.: Estimation of reliability of multicomponent stress-strength for a Kumaraswamy distribution (2017)
  13. Grimm, Kevin J.; Ram, Nilam; Estabrook, Ryne: Growth modeling. Structural equation and multilevel modeling approaches (2017)
  14. Sellers, Kimberly F.; Morris, Darcy S.: Underdispersion models: models that are “under the radar” (2017)
  15. Su, Xiao; Luo, Sheng: Analysis of censored longitudinal data with skewness and a terminal event (2017)
  16. Commenges, Daniel; Jacqmin-Gadda, Hélène: Dynamical biostatistical models (2016)
  17. Huang, Lu; Tang, Li; Zhang, Bo; Zhang, Zhiwei; Zhang, Hui: Comparison of different computational implementations on fitting generalized linear mixed-effects models for repeated count measures (2016)
  18. Jin, Ying; Kang, Minsoo: Comparing DIF methods for data with dual dependency (2016) MathEduc
  19. Liu, Lei; Huang, Xuelin; Yaroshinsky, Alex; Cormier, Janice N.: Joint frailty models for zero-inflated recurrent events in the presence of a terminal event (2016)
  20. Mazucheli, Josmar; Coelho-Barros, Emílio A.; Louzada, Francisco: On the hypothesis testing for the weighted Lindley distribution (2016)

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