Statistical Monitoring of Clinical Trials

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Sprache: Englisch

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Beschreibung

The approach taken in this book is, to studies monitored over time, what the Central Limit Theorem is to studies with only one analysis. Just as the Central Limit Theorem shows that test statistics involving very different types of clinical trial outcomes are asymptotically normal, this book shows that the joint distribution of the test statistics at different analysis times is asymptotically multivariate normal with the correlation structure of Brownian motion ("the B-value") - irrespective of the test statistic. Thus, this book offers statisticians an accessible, incremental approach to understanding Brownian motion as related to clinical trials. The main body of the chapters is accessible to anyone with knowledge of a standard mathematical statistics text. More mathematically advanced readers will find rigorous developments in appendices at the end of chapters. Reading the book will develop insight into not only monitoring, but power, survival analysis, safety, and other statistical issues germane to clinical trials.

Zusammenfassung

Inhaltsverzeichnis

A General Framework.- Power: Conditional, Unconditional, and Predictive.- Historical Monitoring Boundaries.- Spending Functions.- Practical Survival Monitoring.- Inference Following a Group-Sequential Trial.- Options When Brownian Motion Does Not Hold.- Monitoring for Safety.- Bayesian Monitoring.- Adaptive Sample Size Methods.- Topics Not Covered.- Appendix I: The Logrank and Related Tests.- Appendix II: Group-Sequential Software.

Details

Erscheinungsjahr:	2010
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Statistics for Biology and Health
Inhalt:	xiv 268 S. 32 s/w Illustr. 268 p. 32 illus.
ISBN-13:	9781441921345
ISBN-10:	1441921346
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Proschan, Michael A. Lan, K. K. Gordon Wittes, Janet Turk
Auflage:	Softcover reprint of hardcover 1st edition 2006
Hersteller:	Springer Springer US, New York, N.Y. Statistics for Biology and Health
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 15 mm
Von/Mit:	Michael A. Proschan (u. a.)
Erscheinungsdatum:	19.11.2010
Gewicht:	0,417 kg