title: Polynomials with asymptotes for longitudinal data.
abstract: I use Laguerre polynomials to model growth curves or time--response curves known to approach an asymptote as time approaches infinity. An example is with measurements on a variable or variables from subjects recovering from surgery. These variables can often vary in a non-monotonic fashion for which a functional form of the curve is unknown. Using a longitudinal data mixed model, one can include in the model random subject effects, within-subject serial correlation and fixed or time varying covariates. I present two examples that involve groups of subjects recovering from surgery.
authors.affiliation: Department of Preventive Medicine and Biometrics, School of Medicine, University of Colorado Health Sciences Center, Denver 80262, USA.
authors.forename: R H
authors.initials: RH
authors.lastname: Jones
mesh_terms: D016118:Anterior Cruciate Ligament / Q000601:surgery; D000070598:Anterior Cruciate Ligament Injuries; D015982:Bias; D003627:Data Interpretation, Statistical; D015987:Effect Modifier, Epidemiologic; D006801:Humans; D016013:Likelihood Functions; D016014:Linear Models; D016031:Liver Transplantation; D008137:Longitudinal Studies; D008433:Mathematics; D012984:Software; D013997:Time Factors; D016896:Treatment Outcome