A Shrinkage Estimator for Combination of Bioassays

Author: Xiong Jian  

Publisher: Springer Publishing Company

ISSN: 0168-9673

Source: Acta Mathematicae Applicatae Sinica, Vol.23, Iss.3, 2007-07, pp. : 467-476

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Abstract

A shrinkage estimator and a maximum likelihood estimator are proposed in this paper for combination of bioassays. The shrinkage estimator is obtained in closed form which incorporates prior information just on the common log relative potency after the homogeneity test for combination of bioassays is accepted. It is a practical improvement over other estimators which require iterative procedure to obtain the estimator for the relative potency. A real data is also used to show the superiorities for the newly-proposed procedures. Keywords 2000 MR Subject Classification