Local influence assessment in the growth curve model with unstructured covariance |
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Institution: | 1. Dipartimento di Biopatologia e Biotecnologie Mediche, Sezione di Biologia e Genetica, University of Palermo, Palermo, Italy;2. Dipartimento di Discipline Chirurgiche Oncologiche e Stomatologiche, Ricerca Clinica in Medicina Orale, University of Palermo, Palermo, Italy;3. Institute of Biomedicine and Molecular Immunology (IBIM), National Research Council, Palermo, Italy;1. Division of Molecular Pathology, The Institute of Cancer Research, London;2. Centre for Molecular Pathology, The Royal Marsden NHS Foundation Trust, London, UK;3. CIBERONC, Department of Medical Oncology, Biomedical Research Institute INCLIVA, University of Valencia, Valencia;4. Institut Catala d''Oncologia, L''Institut d''Investigació Biomèdica de Bellvitge, Barcelona, Spain |
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Abstract: | In this paper, a local influence approach is employed to assess adequacy of the growth curve model with an unstructured covariance, based on likelihood displacement. The Hessian matrix of the model is investigated in detail under an abstract perturbation scheme. For illustration, covariance-weighted perturbation is discussed and used to analyze two real-life biological data sets, which show that the criteria presented in this article are useful in practice. |
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