title: A PC program for performing multigroup longitudinal comparisons using the Potthoff-Roy analysis and orthogonal polynomials.
abstract: A PC-program performing the Potthoff-Roy (PR) multigroup (G-sample) analysis of longtidinal data is described and illustrated. This program and the underlying statistical model are useful in the comparison of several longitudinal samples. Applications include the study of growth, development, adaptation, aging, and treatment effects (in short, any phenomenon in which the passage of time is important) for which serial data are available. Specifically, this method fits polynomials to the average growth curves in the samples, and tests hypotheses concerning the curves themselves and the individual coefficients of the polynomials. The program features the utilization of orthogonal polynomial regression coefficients (OPRCs) and is written in GAUSS, a relatively inexpensive yet comprehensive matrix programming language. It is documented that using OPRCs to comprise the within-individual or time design matrix has several advantages over the more usual choice of the successive-powers-of-t form of this matrix and an example of one important such advantage is provided. GAUSS was employed to make the program readily-accessible (i.e., executable code) to biomedical investigators. The GAUSS compiler is not required to run this program. Information regarding the availability of the program is provided in the Appendix.
authors.affiliation: Department of Biostatistics, University of Michigan, Ann Arbor 48109.
authors.forename: T R
authors.initials: TR
authors.lastname: ten Have
authors.forename: C J
authors.initials: CJ
authors.lastname: Kowalski
authors.forename: E D
authors.initials: ED
authors.lastname: Schneiderman
authors.forename: S M
authors.initials: SM
authors.lastname: Willis
mesh_terms: D002648:Child; D005006:Ethnicity / Q000706:statistics & numerical data; D006166:Guatemala; D006801:Humans; D008137:Longitudinal Studies; D008432:Mathematical Computing; D008838:Microcomputers; D015999:Multivariate Analysis; D011381:Programming Languages; D012044:Regression Analysis; D012959:Socioeconomic Factors; D012984:Software