Estimating Regression Coefficients for Balanced Growth Curve Model When Time Trend of Baseline is Not Specified. Issue 3 (2nd July 2016)

• Record Type: Journal Article
• Authors: Satoh, Kenichi; Tonda, Tetsuji
• Is Part Of: American journal of mathematical and management sciences. Volume 35:Issue 3(2016)
• Page Start: 183
• Page End: 193
• Publication Date: 2016-07-02
• Subjects: balanced design -- baseline curve -- growth curve model -- longitudinal data -- varying coefficient; Operations research -- Periodicals; Management science -- Periodicals; Periodicals; 658.4034
• DOI: 10.1080/01966324.2015.1137253
• Languages: English
• ISSNs: 0196-6324

Abstract

SYNOPTIC ABSTRACT: This article presents a method for estimating the regression coefficients for a growth curve model when the time trend of the baseline has not been specified. The concept of this method is similar to that of the Cox proportional hazard model. No particular shape is assumed for the baseline time trends, or, alternatively, it can be assumed that they are estimated nonparametrically. Because of these nuisance parameters for the baseline trends, we do not have to pay attention to model those shapes. In addition to the simplicity of modeling baseline curves, we can also nonparametrically describe the baseline trends by using the residuals after the regression coefficients have been estimated.