EXPERIMENTAL DESIGNS FOR SELECTING THE BETTER OF TWO QUANTAL RESPONSE FUNCTIONS

This paper presents an approach for the selection of the better of two quantal response functions. The procedure assumes that two random variables X and Y are described by logistic models, conditioned on the same continuous random variable Z, have the same but unknown scale parameter and different l...

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Bibliographic Details
Published in:Communications in statistics. Simulation and computation 2001-03, Vol.30 (1), p.63-77
Main Author: Wharton, Robert M.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Experimental design
Logistic
Mathematical foundations
Mathematics
Maximum likelihood
Parametric inference
Probability and statistics
Probability of correct selection
Sample size
Sciences and techniques of general use
Statistics
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Summary:This paper presents an approach for the selection of the better of two quantal response functions. The procedure assumes that two random variables X and Y are described by logistic models, conditioned on the same continuous random variable Z, have the same but unknown scale parameter and different location parameters. The probability of correctly selecting the random variable with the largest location parameter is estimated and tabulated for several commonly used experimental designs, using computer simulation. The selection rule is based on the maximum likelihood estimators of the location parameters.
ISSN:0361-0918
1532-4141
DOI:10.1081/SAC-100001858