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The Cubic Logistic Model for Quantal Assay Data
Author(s) -
Morgan Byron J. T.
Publication year - 1985
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2347362
Subject(s) - logistic regression , statistics , statistical physics , mathematics , physics
SUMMARY Three‐ and four‐parameter models have recently been proposed for quantal assay data. These models are useful for judging whether the fit of simpler standard models, such as the logit, can be improved; better fits could result in better determination of extreme dose levels. However, a disadvantage of these new models is that they are often difficult to fit to data, and so are unlikely to be widely used. One of these models is well‐approximated by a much simpler model, for a wide variety of cases, and maximum‐likelihood estimates of parameters for this model can be obtained readily by the method‐of‐scoring.