caa a22 4500 475826779 CHVBK 20180406123830.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1023/A:1017581411504 doi (NATIONALLICENCE)springer-10.1023/A:1017581411504 Bayesian Influence Assessment in the Growth Curve Model with Unstructured Covariance [Elektronische Daten] [Jian-Xin Pan, Wing-Kam Fung] From a Bayesian point of view, in this paper we discuss the influence of a subset of observations on the posterior distributions of parameters in a growth curve model with unstructured covariance. The measure used to assess the influence is based on a Bayesian entropy, namely Kullback-Leibler divergence (KLD). Several new properties of the Bayesian entropy are studied, and analytically closed forms of the KLD measurement both for the matrix-variate normal distribution and the Wishart distribution are established. In the growth curve model, the KLD measurements for all combinations of the parameters are also studied. For illustration, a practical data set is analyzed using the proposed approach, which shows that the diagnostics measurements are useful in practice. The Institute of Statistical Mathematics, 2000 Bayesian analysis nationallicence case-deletion method nationallicence growth curve model nationallicence Kullback-Leibler divergence nationallicence statistical diagnostics nationallicence Pan Jian-Xin Statistics Department, IACR-Rothamsted, AL5 2JQ, Harpenden, Herts, U.K. aut Fung Wing-Kam Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong, China aut Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/4(2000-12-01), 737-752 0020-3157 52:4<737 2000 52 10463 https://doi.org/10.1023/A:1017581411504 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1017581411504 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pan Jian-Xin Statistics Department, IACR-Rothamsted, AL5 2JQ, Harpenden, Herts, U.K aut NATIONALLICENCE 700 1- Fung Wing-Kam Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong, China aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/4(2000-12-01), 737-752 0020-3157 52:4<737 2000 52 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer