Detection of outliers in growth curve models

Abstract

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. In this paper, we discuss procedures for detection of outliers in growth curve models for mean-slippage and dispersion-slippage outlier model. The distributions of the test statistics are discussed and the values of significant probabilities are given using Bonferronl's bounds. Some simulation results are also presented.

Keywords:

• Mean-slippage outlier
• dispersion-slippage outlier
• likelihood ratio test
• growth curve model
• Bonferronl's bound