ASSESSMENT OF LOCAL INFLUENCE IN A GROWTH CURVE MODEL WITH RAO'S SIMPLE COVARIANCE STRUCTURE |
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| Institution: | 1. Department of Biochemistry, Center of Biological Sciences, Universidade Federal de Santa Catarina, Florianópolis, 88040-900, SC, Brazil;2. Post-Graduate Nutrition Program, Center of Health Sciences, Universidade Federal de Santa Catarina, Florianópolis, 88040-900, SC, Brazil;1. Sorbonne Université, Institute of Ecology and Environmental Sciences (UMR iEES Paris), Institute of Research for Development (IRD), 32 av. H. Varagnat, 93143 Bondy, France;2. Soils and Fertilizers Research Institute (SFRI), Dong Ngac, Tu Liem, Hanoi, Viet Nam;3. INRAE, UMR ‘EMMAH’, Site Agroparc, 84914 Avignon Cedex 09, France;4. AMAP, Univ Montpellier, IRD, CIRAD, CNRS, INRAE, Montpellier, France;1. State Key Laboratory of Water Environment Simulation, School of Environment, Beijing Normal University, Beijing 100875, China;2. i-Lab, Suzhou Institute of Nano-Tech and Nano-Bionics, Chinese Academy of Sciences, Suzhou 215123, China;1. Moutai Institute, Renhuai, Guizhou 564500, China;2. Guizhou East China Engineering Co., Ltd., Guiyang, Guizhou 550000, China;1. Norwich Business School, University of East Anglia, Norwich, Norfolk, NR4 7TJ, England, UK;2. Newcastle Business School, Faculty of Business and Law,University of Newcastle University Drive,Callaghan, NSW 2308, Australia;3. Business School, University of Sydney, Codrington Street, Sydney, NSW, 2008, Australia;4. School of Business and Economics, Loughborough University, Leicestershire LE11 3TU, England, UK |
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| Abstract: | The present paper deals with the problem of assessing the local influence in a growth curve model with Rao's simple covariance structure. Based on the likelihood displacement, the curvature measure is employed to evaluate the effects of some minor perturbations on the statistical inference, thus leading to the large curvature direction, which is the most critical diagnostic statistic in the context of the local influence analysis. As an application, the common covariance-weighted perturbation scheme is thoroughly considered. |
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| Keywords: | Growth curve model Rao's simple covariance structure Likelihood displacement curvature 62H |
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