NDLI: Beta-normal distribution in dose–response modeling and risk assessment for quantitative responses

Content Provider	Springer Nature Link
Author	Razzaghi, Mehdi
Copyright Year	2008
Abstract	To establish allowable daily intakes for humans from animal bioassay experiments, benchmark doses corresponding to low levels of risk have been proposed to replace the no-observed-adverse-effect level for non-cancer endpoints. When the experimental outcomes are quantal, each animal can be classified with or without the disease. The proportion of affected animals is observed as a function of dose and calculation of the benchmark dose is relatively simple. For quantitative responses, on the other hand, one method is to convert the continuous data to quantal data and proceed with benchmark dose estimation. Another method which has found more popularity (Crump, Risk Anal 15:79–89; 1995) is to fit an appropriate dose–response model to the continuous data, and directly estimate the risk and benchmark doses. The normal distribution has often been used in the past as a dose–response model. However, for non-symmetric data, the normal distribution can lead to erroneous results. Here, we propose the use of the class of beta-normal distribution and demonstrate its application in risk assessment for quantitative responses. The most important feature of this class of distributions is its generality, encompassing a wide range of distributional shapes including the normal distribution as a special case. The properties of the model are briefly discussed and risk estimates are derived based on the asymptotic properties of the maximum likelihood estimates. An example is used for illustration.
Starting Page	25
Ending Page	36
Page Count	12
File Format	PDF
ISSN	13528505
Journal	Environmental and Ecological Statistics
Volume Number	16
Issue Number	1
e-ISSN	15733009
Language	English
Publisher	Springer US
Publisher Date	2008-01-12
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Beta-normal Benchmark dose Continuous responses Dose–responses Risk assessment Evolutionary Biology Statistics Mathematical Biology in General Ecology
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Environmental Science Statistics, Probability and Uncertainty

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