INFLUENTIAL OBSERVATION IDENTIFICATION IN THE GROWTH CURVE MODEL WITH RAO'S SIMPLE COVARIANCE STRUCTURE

ABSTRACT In this paper we discuss the identification of influential observations in a growth curve model with Rao's simple covariance structure. Based on the generalized Cook-type distance and the volume of a confidence ellipsoid, a variety of influence measures are proposed in terms of the case-deletion technique. Also, the influence of observations on a linear combination of regression coefficients is considered. For illustration, a practical example is analyzed using the proposed approach.

[1]  Calyampudi R. Rao,et al.  The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves. , 1965, Biometrika.

[2]  C. G. Khatri,et al.  A note on a manova model applied to problems in growth curve , 1966 .

[3]  P. Rousseeuw,et al.  Unmasking Multivariate Outliers and Leverage Points , 1990 .

[4]  Dietrich von Rosen,et al.  The growth curve model: a review , 1991 .

[5]  Jack C. Lee Prediction and estimation of growth curves with special covariance structures , 1988 .

[6]  D. Vonrosen INFLUENTIAL OBSERVATIONS IN MULTIVARIATE LINEAR-MODELS , 1995 .

[7]  J. A. Díaz-García,et al.  SENSITIVITY ANALYSIS IN LINEAR REGRESSION , 2022 .

[8]  K. Fang,et al.  Influential observation in the growth curve model with unstructured covariance matrix , 1996 .

[9]  E. S. Scanlon Residuals and influence in regression. , 1996 .

[10]  D. Rosen Maximum likelihood estimators in multivariate linear normal models , 1989 .

[11]  Discordant outlier detection in the growth curve model with Rao's simple covariance structure , 2004 .

[12]  S. Chatterjee Sensitivity analysis in linear regression , 1988 .

[13]  Dietrich von Rosen,et al.  Local influence assessment in the growth curve model with unstructured covariance , 1997 .

[14]  R. Potthoff,et al.  A generalized multivariate analysis of variance model useful especially for growth curve problems , 1964 .

[15]  R. Cook Assessment of Local Influence , 1986 .

[16]  Dietrich von Rosen,et al.  Moments for matrix normal variables , 1988 .