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Analysis of Quantal Response Data : Reviews of United Kingdom Statistical Sources - Byron J. T. Morgan

Analysis of Quantal Response Data

Reviews of United Kingdom Statistical Sources

Hardcover

Published: November 1992
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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 packages like BMDP, SAS and SPSS are also described.

"This book is a welcome addition to the analysis of dose-response quantal bioassays which are so important in toxicology and pharmacology...it contdains the best collection and description of all known methods in bioassays." -Short Book Reviews of the ISI ..."a thorough and readable reference..." -Technometrics "I believe that this book should be in the library of all applied statisticians...an excellent reference. It serves as a model for books on statistical methods in special areas and is a worthy successor to Finney's work, which has dominated the field for so long." -Journal of the American Statistical Association

Preface
Glossary and notation
Index of data sets
Data, preliminary analyses and mechanistic modelsp. 1
Aspects of toxicologyp. 3
Examplesp. 5
Preliminary graphical representationsp. 17
Mechanistic modelsp. 22
Interpolation and extrapolationp. 25
Maximum-likelihood fitting of simple modelsp. 41
The likelihood surface and non-linear optimizationp. 41
The method-of-scoring for the logit modelp. 46
The connection with iterated weighted regression; generalized linear modelsp. 50
Hand calculation and using tablesp. 53
The chi-square goodness-of-fit test; heterogeneityp. 54
Minimum chi-square estimationp. 56
Estimating the dose for a given mortalityp. 59
Maximum-likelihood estimation for logistic regressionp. 68
Making comparisonsp. 73
Testing for trend in proportionsp. 74
Extensions and alternativesp. 92
Natural or control mortality; EM algorithm and mixture modelsp. 92
Wadley's problem; use of controlsp. 105
Influence and diagnosticsp. 107
Trichotomous responsesp. 119
Bayesian analysisp. 122
Synergy and antagonismp. 126
Multivariate bioassaysp. 127
Errors in dose measurementp. 129
Extended models for quantal assay datap. 144
The Aranda-Ordaz asymmetric modelp. 145
Extended symmetric modelsp. 150
Transforming the dose scalep. 160
Additional models and procedures; goodness of linkp. 166
Safe dose evaluationp. 173
Describing time to responsep. 190
Descriptive methodsp. 193
The stochastic model of Puri and Senturiap. 195
Multi-event modelsp. 208
Survival analysisp. 211
Non-monotonic responsep. 217
Over-dispersionp. 234
Extra-binomial variationp. 235
Making comparisons in the presence of extra-binomial variationp. 248
Dose-response with extra-binomial variationp. 252
The quasi-likelihood approachp. 257
Overdispersion versus choice of link functionp. 262
Additional modelsp. 266
Additional applicationsp. 281
Non-parametric and robust methodsp. 303
The pool-adjacent-violators algorithm; ABERS estimatep. 304
The Spearman-Karber estimate of the ED[subscript 50]p. 306
Trimmingp. 311
Robustness and efficiencyp. 317
Alternative distribution-free proceduresp. 328
Design and sequential methodsp. 340
Optimal designp. 341
The up-and-down experimentp. 348
The Robbins-Monro procedurep. 354
Sequential optimizationp. 357
Comparison of methods for ED[subscript 100p] estimationp. 359
App. A Approximation proceduresp. 370
App. B GLMs and GLIMp. 372
App. C Bordering Hessiansp. 376
App. D Asymptotically equivalent tests of hypothesesp. 378
App. E Computingp. 381
App. F Useful addressesp. 387
App. G Solutions and comments for selected exercisesp. 389
Referencesp. 439
Author indexp. 484
Subject indexp. 487
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780412317507
ISBN-10: 0412317508
Series: Reviews of United Kingdom Statistical Sources
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 511
Published: November 1992
Publisher: SPRINGER VERLAG GMBH
Country of Publication: GB
Dimensions (cm): 22.91 x 13.46  x 3.12
Weight (kg): 0.68
Edition Number: 1