Abstract
After a brief discussion of the threshold concept in toxicology, we consider models for the estimation of thresholds in the case where the observed response is binary or quantal. A generalization of the four-parameter Tukey-lambda family of distributions is proposed as a useful class of models for threshold estimation. Properties of these models are discussed and the process of model fitting and evaluation is illustrated using a number of data sets. The discussion includes consideration of background or spontaneous response, and comparison with other models. One of these is the linear-plateau or hockey-stick model, which has been used in a number of toxicological studies.
Original language | English (US) |
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Pages (from-to) | 511-523 |
Number of pages | 13 |
Journal | Biometrics |
Volume | 43 |
Issue number | 3 |
DOIs | |
State | Published - 1987 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistics and Probability
- General Biochemistry, Genetics and Molecular Biology
- General Immunology and Microbiology
- General Agricultural and Biological Sciences
- Applied Mathematics