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Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons (Wiley Series in Probability and Statistics)
 
 
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Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons (Wiley Series in Probability and Statistics) [Hardcover]

Robert E. Bechhofer (Author), Thomas J. Santner (Author), David M. Goldsman (Author)
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Book Description

0471574279 978-0471574279 July 1995 1
A practical guide to selection, screening, and multiple comparisons

This book addresses experimenters who have knowledge of classical experimental design methodology and expands their repertoire beyond hypothesis testing by providing statistical methods appropriate for selection, screening, and multiple comparisons. It concentrates on three types of procedures: selection procedures that use the "indifference-zone" approach, screening procedures using the "subset" approach, and multiple comparison procedures involving normal means. This is the first book, specifically designed for practitioners, to bring into focus many developments in the field previously covered only in university courses. It also presents new results on the comparison of procedures that have been obtained specifically for this volume.

This self-contained volume describes methods for designing experiments when the scientific objective is selection of best treatments, screening a set of treatments, and multiple comparisons among treatment means. The book emphasizes procedures appropriate in a variety of practical settings including those that require blocking and randomization restriction. It compares the relative merits of procedures when several different methods can be used in the same circumstances.

Providing practical guidance for experimenters in agriculture, engineering, medicine, and other empirical sciences, this book may also be used for a one-semester graduate course in selection methodology or to augment traditional courses in experimental design.

Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons:
* Shows how selection and screening can be applied to data that follow one of three important probability models--normal distribution, binomial distribution, and the multinomial distribution models
* Provides an extensive comparison of procedures, allowing experimenters to choose among competitors when several different procedures are feasible for a given application
* Gives an extensive set of tables of constants necessary to implement the procedures
* Supplements the tables of constants with listings of FORTRAN programs so that experimenters are not limited to those values covered by the tables
* Focuses on frequent formulations, while also providing references to Bayesian and other alternative developments in the Chapter Notes

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Editorial Reviews

From the Publisher

Depicts techniques for designing experiments when the scientific objective is selection, screening or multiple comparisons. Contains a summary of statistical assumptions underlying the procedures, the advantages/disadvantages of each, tables of constants needed to implement procedures and a description of performance characteristics. Covers experiments with one of the following responses--normal, binominal, multinomial.

From the Back Cover

A practical guide to selection, screening, and multiple comparisons

This book addresses experimenters who have knowledge of classical experimental design methodology and expands their repertoire beyond hypothesis testing by providing statistical methods appropriate for selection, screening, and multiple comparisons. It concentrates on three types of procedures: selection procedures that use the "indifference-zone" approach, screening procedures using the "subset" approach, and multiple comparison procedures involving normal means. This is the first book, specifically designed for practitioners, to bring into focus many developments in the field previously covered only in university courses. It also presents new results on the comparison of procedures that have been obtained specifically for this volume.

This self-contained volume describes methods for designing experiments when the scientific objective is selection of best treatments, screening a set of treatments, and multiple comparisons among treatment means. The book emphasizes procedures appropriate in a variety of practical settings including those that require blocking and randomization restriction. It compares the relative merits of procedures when several different methods can be used in the same circumstances.

Providing practical guidance for experimenters in agriculture, engineering, medicine, and other empirical sciences, this book may also be used for a one-semester graduate course in selection methodology or to augment traditional courses in experimental design.

Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons:

  • Shows how selection and screening can be applied to data that follow one of three important probability models—normal distribution, binomial distribution, and the multinomial distribution models
  • Provides an extensive comparison of procedures, allowing experimenters to choose among competitors when several different procedures are feasible for a given application
  • Gives an extensive set of tables of constants necessary to implement the procedures
  • Supplements the tables of constants with listings of FORTRAN programs so that experimenters are not limited to those values covered by the tables
  • Focuses on frequent formulations, while also providing references to Bayesian and other alternative developments in the Chapter Notes

Product Details

  • Hardcover: 344 pages
  • Publisher: Wiley-Interscience; 1 edition (July 1995)
  • Language: English
  • ISBN-10: 0471574279
  • ISBN-13: 978-0471574279
  • Product Dimensions: 9.5 x 6.4 x 1 inches
  • Shipping Weight: 1.5 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,989,851 in Books (See Top 100 in Books)

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25 of 25 people found the following review helpful:
5.0 out of 5 stars the pioneering work of Bechhofer and Sobel on selecting populations, February 6, 2008
This review is from: Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons (Wiley Series in Probability and Statistics) (Hardcover)
Robert Bechhofer along with Milton Sobel pioneered the concept of rank and selecting the population with the largest mean or a subset of populations with the largest means. This is a practical alternative to the usual analysis of variance and multiple contrasts approach (ANOVA). ANOVA methods just determine if there are differences among populations but researchers are often interested in knowing which population has the largest (best) mean. Ranking and selection procedures consider the selection of the population with the best mean or a ranking of the populations based on the means. It is formulated in a way to pick the right populatiion (i.e. the one with the largest population mean) or subset of populations based on either maximizing the probability of correct selection or by use of indifference zones in hypothesis testing. This material has been covered in Bechhofer's treatise with Kiefer and Sobel in 1968, the text by Gupta and Panchapakesan in 1979 and Gibbons, Olkin and Sobel in 1977. This text is an update on the theory and applications and differs from the previous texts in that it also considers issues of statistical design.
The theory has been well developed over a period of the past 30 years but has not been taught in applied statistics course and inspite of its practicality it is not applied nealry as much as the analysis of variance even though it is sometimes more appropriate. This has been a frustration for Bechhofer and his colleagues. This book is another attempt to get the methods more widely known and used. Part of the problem is the lack of software. Tables as provided in the text can be exceedingly complex. The authors provide FORTRAN programs to carry out the procedures. Unfortunately in today's computing environment it will take inclusion in major statistical software packages to get these methods the usage that they probably deserve.

The text is authoritative and well-written. It could be used for an intermediate level statistics course in ranking and selection methods and designs. It is an excellent reference source. Unfortunately Bechhofer has since past away so it is now the job of his colleagues and students to promote these methods.

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Inside This Book (learn more)
First Sentence:
This book describes methods for designing and analyzing experiments involving several qualitative factors when the scientific objective is selection of the "best" treatments. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
largest treatment mean, same probability requirement, terminal decision rule, joint confidence interval estimates, treatments having means, common known variance, slippage configuration, unbiased pooled estimate, forming simultaneous confidence intervals, equicoordinate point, pulse rate combination, same statistical assumptions, largest normal mean, maximum flow gradient, pooled unbiased estimate, common unknown variance, multinomial category, multinomial observations, subset selection procedures, multinomial event, mth observation, subset selection approach, common sample size, mth stage, sampling rule
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, Marcel Dekker, John Wiley, Estimated Achieved, Single-Stage Multinomial Procedure, New York, Treatment Ili, Include Ili, Iowa State University Press, Selection Involving
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