Further investigations of Berkson's example

Fountain, Robert L. ; Radhakrishna Rao, C. (1993) Further investigations of Berkson's example Communications in Statistics - Theory and Methods, 22 (3). pp. 613-629. ISSN 0361-0926

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0361092...

Related URL: http://dx.doi.org/10.1080/03610929308831042


Berkson's bioassay problem is investigated in detail. In addition to maximum likelihood estimators and Berkson's proposed minimum logit χ2 estimators, several modified estimators are considered. Two Rao-Blackwellized estimators - a conditional mean and conditional median, given the sufficient statistics - as well as Amemiya's bias-corrected and partially bias-correct estimators are included. The estimators are compared with respect to bias, variance, mean squared error, and Pitman's measure of closeness. The experiment is examined at four different levels of the parameters, and is re-examined subject to a monotonicity condition imposed on the sample space. The results provide a new insight into the controversy over the comparison of minimum χ2 and maximum likelihood estimators.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Group.
Keywords:Logistic Regression; Minimum Logit χ2; Maximum Likelihood; Pitman's Measure of Closeness
ID Code:71877
Deposited On:28 Nov 2011 04:15
Last Modified:28 Nov 2011 04:15

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