title: Non-linear random effects model for multivariate responses with missing data.
abstract: The use of random-effects models for the analysis of longitudinal data with missing responses has been discussed by several authors. In this paper, we extend the non-linear random-effects model for a single response to the case of multiple responses, allowing for arbitrary patterns of observed and missing data. Parameters for this model are estimated via the EM algorithm and by the first-order approximation available in SAS Proc NLMIXED. The set of equations for this estimation procedure is derived and these are appropriately modified to deal with missing data. The methodology is illustrated with an example using data coming from a study involving 161 pregnant women presenting to a private obstetrics clinic in Santiago, Chile.
authors.affiliation: Departamento de Estadística, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Santiago 22, Chile. gm@mat.puc.cl
authors.forename: Guillermo
authors.initials: G
authors.lastname: Marshall
authors.forename: Rolando
authors.initials: R
authors.lastname: De la Cruz-Mesía
authors.forename: Anna E
authors.initials: AE
authors.lastname: Barón
authors.forename: James H
authors.initials: JH
authors.lastname: Rutledge
authors.forename: Gary O
authors.initials: GO
authors.lastname: Zerbe
mesh_terms: D000465:Algorithms; D001699:Biometry; D018997:Chorionic Gonadotropin, beta Subunit, Human / Q000097:blood; D003627:Data Interpretation, Statistical; D004958:Estradiol / Q000097:blood; D005260:Female; D006801:Humans; D008137:Longitudinal Studies; D015999:Multivariate Analysis; D017711:Nonlinear Dynamics; D011247:Pregnancy; D011256:Pregnancy Outcome; D011261:Pregnancy Trimester, First
chemical_list: D018997:Chorionic Gonadotropin, beta Subunit, Human; D004958:Estradiol