Abstract
For the exchangeable binary data with random cluster sizes, we develop an approximately optimal non-parametric procedure for obtaining estimates of the moments of all orders. Moreover, based on this procedure, we can also obtain efficient estimates of underlying parameters of moments of all orders. An application is made to data sets from a developmental toxicity study. Simulation results show that our procedure is valid and performs better than Bowman and George’s procedure and the pairwise likelihood procedure.
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The project supported by NSFC 11171065, NSFJS BK 2011058, NSFC 11201229, NSFC 11271189, China Postdoctoral Science Foundation funded project (Grant Number 2010471366) and Jiangsu Planned Projects for Postdoctoral Research Funds (Grant Number 1001068C).
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Zhao, HX., Lin, JG. An approximately optimal non-parametric procedure for analyzing exchangeable binary data with random cluster sizes. Comput Stat 28, 2029–2047 (2013). https://doi.org/10.1007/s00180-012-0393-2
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DOI: https://doi.org/10.1007/s00180-012-0393-2