Robust estimation in growth curve models

The growth curve model introduced by Potthoff and Roy (1964) is a general statistical model which includes as special cases regression models and both univariate and multivariate analysis of variance models. The methods currently available for estimating the parameters of this model assume an underlying multivariate normal distribution of errors. In this paper, we discuss two robust estimators of the growth curve location and scatter parameters based upon M—estimation techniques and the work done by Maronna (1976). The asymptotic distribution of these robust estimators are discussed and a numerical example given. © 1985 by Marcel Dekker, Inc. All rights reserved.

Duke Scholars

Author Jane Frances Pendergast Biostatistics & Bioinformatics, Division of Biostatistics