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Quantal Response Analysis for a Mixture of Populations

Biometrics, 1972
SUMMARY This paper is concerned with the biological assay of a mixture of populations which cannot be differentiated on the basis of their external characteristics. It is shown that the overall dosage-response relation may be expressed in terms of the corresponding relations for the separate populations and of the proportion of each present in the ...
J R, Ashford, P J, Walker
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Polychotomous quantal response by maximum indicant

Biometrika, 1970
where (D is the standardized normal distribution function, and A and B are unknown parameters. The purpose of an informative experiment which subjects n units to a stimulus, the ith unit receiving strength xi, is simply the estimation of the parameters A and B, or some function of them, for example -A/B, the so-called LD50.
Aitchison, J., Bennett, J. A.
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Testing the Foundations of Quantal Response Equilibrium

2013
Quantal response equilibrium (QRE) has become a popular alternative to the standard Nash equilibrium concept in game theoretic applications. It is well known that human subjects do not regularly choose Nash equilibrium strategies. It has been hypothesized that subjects are limited by strategic uncertainty or that subjects have broader social ...
Mathew D. McCubbins   +2 more
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Quantal response equilibrium in a double auction

Economic Theory Bulletin, 2014
This paper establishes existence and uniqueness of Quantal Response Equilibrium (QRE) in a double auction. The concept of QRE has the intuitive property that a deviation from best response is less likely the higher the cost associated with the deviation itself.
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Multinomially Grouped Response Times for the Quantal Response Bioassay

Biometrics, 1958
where x and t are the values of the dose and time metameters and y is say the logit of the response at that dose and time and where in some cases a may be assumed to be zero. Since the response numbers are accumulated for the successive times within a dose, the observed y values are not independent within doses. This introduces some complexity into the
White, Robert F., Graca, Joseph G.
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Quantal Response Equilibrium with Symmetry: Representation and Applications

SSRN Electronic Journal, 2022
Evan Friedman, Felix Mauersberger
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The design of quantal response experiments and the modelling of quantal response experiments over time

2010
The problem of designing a quantal response experiment when estimation of the median effective dose (ED50) is of main interest is examined. The asymptotic variances of the maximum likelihood estimators of the ED50 for various 3 and 5 point designs, using the logit model, are compared to the minimum possible which is achieved with an inadvisable 1 point
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Quantal Dose—Response: Probits

1981
The quantal, or all-or-none, dose—response relation is obtained by specifying a specific endpoint of drug action and determining the number of subjects that achieve this endpoint as a function of drug dosage. For example, the endpoint might be the production of sleep as determined by lack of response to a measured noxious stimulus.
Ronald J. Tallarida, Rodney B. Murray
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Modeling multi-target defender-attacker games with quantal response attack strategies

Reliability Engineering and System Safety, 2021
Jun Zhuang
exaly  

Polychotomous Quantal Response in Biological Assay

Biometrics, 1960
Gurland, J., Lee, Ilbok, Dahm, P. A.
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