Analysis of Quantal Response Data

✍ Scribed by Morgan, Byron J. T

• Publisher: Routledge;CRC
• Year: 2018
• Tongue: English
• Leaves: 532
• Series: Chapman and Hall/CRC Monographs on Statistics and Applied Probability
• Category: Library

✦ Synopsis

This book takes the standard methods as the starting point, and then describes a wide range of relatively new approaches and procedures designed to deal with more complicated data and experiments - including much recent research in the area. Throughout mention is given to the computing requirements - facilities available in large computing package.

Abstract: This book takes the standard methods as the starting point, and then describes a wide range of relatively new approaches and procedures designed to deal with more complicated data and experiments - including much recent research in the area. Throughout mention is given to the computing requirements - facilities available in large computing package

✦ Table of Contents

Content: Cover
Title Page
Copyright Page
Dedication
Table of Contents
Preface
Glossary and notation
Index of data sets
1: Data, preliminary analyses and mechanistic models
1.1 Introduction
1.2 Aspects of toxicology
1.3 Examples
1.4 Preliminary graphical representations
1.5 Mechanistic models
1.6 Interpolation and extrapolation
1.7 Discussion
1.8 Exercises and complements
2: Maximum-likelihood fitting of simple models
2.1 The likelihood surface and non-linear optimization
2.2 The method-of-scoring for the logit model
2.3 The connection with iterated weighted regression Generalized linear models2.4 Hand calculation and using tables
2.5 The chi-square goodness-of-fit test
heterogeneity
2.6 Minimum chi-square estimation
2.7 Estimating the dose for a given mortality
2.7.1 Using the delta method
2.7.2 Using Fieller's Theorem
2.7.3 The likelihood-ratio interval
2.7.4 Comparing the likelihood-ratio and Fieller intervals
2.8 Maximum-likelihood estimation for logistic regression
2.9 Making comparisons
2.10 Testing for trend in proportions
2.11 Discussion
2.12 Exercises and complements
3: Extensions and alternatives
3.1 Introduction 3.2 Natural or control mortality EM algorithm and mixture models
3.3 Wadley's problem
use of controls
3.4 Influence and diagnostics
3.5 Trichotomous responses
3.6 Bayesian analysis
3.7 Synergy and antagonism
3.8 Multivariate bioassays
3.9 Errors in dose measurement
3.10 Discussion
3.11 Exercises and complements
4: Extended models for quantal assay data
4.1 Introduction
4.2 The Aranda-Ordaz asymmetric model
4.3 Extended symmetric models
4.4 Transforming the dose scale
4.5 Additional models and procedures
goodness of link
4.5.1 Other models
4.5.2 Goodness of link

✦ Subjects

Biometry;Probits;Medical statistics;Quantum statistics;Biométrie