JSM 2005 Online Program

Abstract #304236

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

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Activity Number:	481
Type:	Contributed
Date/Time:	Thursday, August 11, 2005 : 8:30 AM to 10:20 AM
Sponsor:	Biometrics Section
Abstract - #304236
Title:	A Generalized Growth Curve Model, Related Testing, and Comparison of Growth Rates
Author(s):	Sabyasachi Bhattacharya*+
Companies:	Iowa State University
Address:	111 B Snedecor Hall, Ames, IA, 50011-1210, United States
Keywords:	Growth curve ; relative growth rate ; stochastic differential equation ; Markov structure ; asymptotic test
Abstract:	A new and generalized growth curve model based on the monotonicity of "Relative Growth Rate" (RGR) is proposed to describe the growth of fish. We proved the existence and consistency of the nonlinear least square estimates of the proposed growth curve model under the stochastic structure of the RGR differential equation. We compared two fish populations by providing natural tests based on the "points of inflections" of the RGR curves and the "time points that maximize RGRs." In addition, we proposed an asymptotic test to compare the expected RGRs for two fish populations. In the spirit of Potthoff-Roy (1964) model, our procedure assumes the multivariate normality for the longitudinal data at different time points with a one-step Markov structure in the correlation matrix.

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