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Application of negative binomial regression models to the analysis of quantal bioassays data
Author(s) -
Maul A.,
ElShaarawi A. H.,
Ferard J. F.
Publication year - 1991
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/env.3770020302
Subject(s) - negative binomial distribution , poisson regression , statistics , poisson distribution , daphnia magna , binomial (polynomial) , goodness of fit , regression analysis , confidence interval , population model , population , mathematics , bioassay , count data , econometrics , biology , ecology , toxicity , medicine , environmental health
Abstract The problem of developing an approach for modelling the response of an organism to chronic toxicity is discussed in this paper and illustrated by studying the toxic effect of NaBr on the reproduction process of a population of Daphnia magna . A general model is given which includes both the negative binomial and poisson distributions as special cases depending on the values of a single parameter. The steps involved in estimating the parameters of the model and testing the goodness‐of‐fit are presented. In particular the iterative solution of the estimating equations are described in detail along with the problem of setting confidence limits for model parameters. This approach is useful in the analysis of quantal bioassay data.