Quantile Function Models for Quantal Response Analysis

✍ Scribed by Prof. Govind S. Mudholkar; Mohan V. Phatak

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 743 KB
• Volume: 32
• Category: Article
• ISSN: 0323-3847
• DOI: 10.1002/bimj.4710320808

✦ Synopsis

The iiSU8l analysis of quantal respoiise data occurring in diverse fields such as economics, medicine, psychology and toxicology uae probit and logit models or their extensions with generalized least squares or the principle of likelihood as the method of statistical inference. The symmetric alternative models lead t o practically comparrrble results and the choice of model or method is determined by considerations of familiarity and computational convenience. Recent attempts a t improvenlent involve larger parametric families of tolerance distributions and employ the method of maximum likelihood in analysis. I n this paper we consider models with the tolerance distributions based tipoii the Tukey-lambda distributions which are described in terms of their qnantile functions. The likelihood methods for fitting the models and testing their adequacies are developed and illustrated using c~assical data due t o BLISS (1935) and AsiiFOnD and SBlITH (1964).