FORMATH
Online ISSN : 2188-5729
Original Article
Comparison with Residual-Sum-of-Squares-Based Model Selection Criteria for Selecting Growth Functions
Keisuke FukuiMariko YamamuraHirokazu Yanagihara
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2015 Volume 14 Pages 27-39

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Abstract

A growth curve model used for analyzing growth is characterized by a mathematical function with respect to time, called a growth function. As the results of analysis from a growth curve model strongly depend on the growth function used for the analysis, the selection of growth functions is important. A choice of growth function based on the minimization of a model selection criterion is one of the major selection methods. In this paper, we compare the performances of growth-function selection methods using these criteria (e.g., Mallows' Cp criterion) through Monte Carlo simulations. As a result, we recommend the use of a method employing the Bayesian information criterion for the selection of growth functions.

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© 2015 FORMATH Research Group
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