title: Asymptotic confidence bands for generalized nonlinear regression models.
abstract: Asymptotic confidence bands for generalized nonlinear regression models are developed. These are based on a combination of the S method of Scheffe, together with the delta method which is used to approximate the mean function by a linear combination of the parameters. The approach can be used in any situation where large sample theory can be applied to yield asymptotically normal estimates of the parameters, together with a consistent estimate of the large sample covariance matrix. Alternative formulations for various special cases allow the use of restricted range bands. A number of examples are given, including a pharmacokinetic model, a logit model with a background response rate, and a parametric survival model.
authors.affiliation: Department of Biostatistics, University of Rochester Medical Center, New York 14642, USA.
authors.forename: C
authors.initials: C
authors.lastname: Cox
authors.forename: G
authors.initials: G
authors.lastname: Ma
mesh_terms: D000280:Administration, Inhalation; D000818:Animals; D001699:Biometry / Q000379:methods; D016001:Confidence Intervals; D006801:Humans; D008433:Mathematics; D051379:Mice; D015233:Models, Statistical; D004364:Pharmaceutical Preparations / Q000008:administration & dosage; D010599:Pharmacokinetics; D012044:Regression Analysis; D012984:Software
chemical_list: D004364:Pharmaceutical Preparations