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Design and Analysis of Cross-Over Trials, Second Edition - Byron Jones, Michael G. Kenward

Design and Analysis of Cross-Over Trials, Second Edition

Buch | Hardcover
408 Seiten
2003 | 2nd New edition
Chapman and Hall (Verlag)
978-0-412-60640-3 (ISBN)
CHF 165,85 inkl. MwSt
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Including a new chapter on application of cross over trials in psychology, this volume discusses such subjects as higher order designs for two treatments, designs and analyses for three or more treatments, and the analysis of repeated measurements within periods.
The first edition of Design and Analysis of Cross-Over Trials quickly became the standard reference on the subject and has remained so for more than 12 years. In that time, however, the use of cross-over trials has grown rapidly, particularly in the pharmaceutical arena, and researchers have made a number of advances in both the theory and methods applicable to these trials.





Completely revised and updated, the long-awaited second edition of this classic text retains its predecessor's careful balance of theory and practice while incorporating new approaches, more data sets, and a broader scope. Enhancements in the second edition include:











A new chapter on bioequivalence
Recently developed methods for analyzing longitudinal continuous and categorical data
Real-world examples using the SAS system
A comprehensive catalog of designs, datasets, and SAS programs available on a companion Web site at www.crcpress.com








The authors' exposition gives a clear, unified account of the design and analysis of cross-over trials from a statistical perspective along with their methodological underpinnings. With SAS programs and a thorough treatment of design issues, Design and Analysis of Cross-Over Trials, Second Edition sets a new standard for texts in this area and undoubtedly will be of direct practical value for years to come.

INTRODUCTION


What is a Cross-Over Trial?


With which Sort of Cross-Over Trial are We Concerned?


Why Do Cross-Over Trials Need Special Consideration?


A Brief History


Notation, Models and Analysis


Aims of this Book


Structure of the Book


THE 2 x 2 CROSS-OVER TRIAL


Introduction


Plotting the Data


The Analysis Using t-Tests


Sample Size Calculations


The Analysis of Variance


Aliasing of Effects


Consequences of preliminary testing


Analyzing the residuals


A Bayesian Analysis of the 2 x 2 Trial


The Use of Baseline Measurements


The Use of Covariates


Nonparametric Analysis


Binary Data


HIGHER-ORDER DESIGNS FOR TWO TREATMENTS


Introduction


’Optimal’ Designs


Balaam’s Design for Two Treatments


The Effect of Preliminary Testing in Balaam’s Design


Three-Period Designs with Two Sequences


Three-Period Designs with Four Sequences


A Three-Period Six-Sequence Design


Which Three-Period Design to Use?


Four-Period Designs with Two Sequences


Four-Period Designs with Four Sequences


Four-Period Designs with Six Sequences


Which Four-Period Design to Use?


Which Two-Treatment Design to Use?


DESIGNING CROSS-OVER TRIALS FOR THREE OR MORE TREATMENTS


Introduction


Variance-Balanced Designs


Optimality Results for Cross-Over Designs


Which Variance Balanced Design to Use?


Partially Balanced Designs


Comparing Test Treatments to a Control


Factorial Treatment Combinations


Extending the Simple Model for Carry-Over Effects


Computer Search Algorithms


ANALYSIS OF CONTINUOUS DATA


Introduction


The Fixed Subject Effects Model


The Random Subject Effects Model


Analyses for Higher-Order Two-Treatment Designs


The General Linear Mixed Model


Analysis of Repeated Measurements within Periods


Cross-Over Data as Repeated Measurements


Case Study: an Analysis of a Trial with Many Periods


ANALYSIS OF CATEGORICAL DATA


Introduction


Binary Data: Subject Effect Models


Binary Data: Marginal Models


Categorical Data


Further Topics


BIOEQUIVALENCE TRIALS


What is Bioequivalence


Testing for Average Bioequivalence


Power and Sample Size for ABE in the 2 x 2 Design


Individual Bioequivalence


Population Bioequivalence


ABE for a Replicate Design


Kullback–Leibler Divergence for Evaluating Bioequivalence


Modelling Pharmacokinetic Data


APPENDICES


Least Squares Estimation


SAS Code for Assessing ABEm IBE, and PBE in Replicate Cross-Over Trials


REFERENCES

Erscheint lt. Verlag 12.3.2003
Reihe/Serie Chapman & Hall/CRC Monographs on Statistics & Applied Probability
Zusatzinfo 172 Tables, black and white; 35 Illustrations, black and white
Verlagsort London
Sprache englisch
Maße 152 x 229 mm
Gewicht 680 g
Einbandart gebunden
Themenwelt Geisteswissenschaften Psychologie
Mathematik / Informatik Mathematik Angewandte Mathematik
Medizin / Pharmazie Medizinische Fachgebiete Pharmakologie / Pharmakotherapie
Naturwissenschaften
ISBN-10 0-412-60640-2 / 0412606402
ISBN-13 978-0-412-60640-3 / 9780412606403
Zustand Neuware
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