Optimal Experimental Design with R

Inbunden, Engelska, 2011

AvDieter Rasch,Jurgen Pilz,L.R. Verdooren,Albrecht Gebhardt

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Experimental design is often overlooked in the literature of applied and mathematical statistics: statistics is taught and understood as merely a collection of methods for analyzing data. Consequently, experimenters seldom think about optimal design, including prerequisites such as the necessary sample size needed for a precise answer for an experimental question.Providing a concise introduction to experimental design theory, Optimal Experimental Design with R: Introduces the philosophy of experimental design Provides an easy process for constructing experimental designs and calculating necessary sample size using R programsTeaches by example using a custom made R program package: OPDOE Consisting of detailed, data-rich examples, this book introduces experimenters to the philosophy of experimentation, experimental design, and data collection. It gives researchers and statisticians guidance in the construction of optimum experimental designs using R programs, including sample size calculations, hypothesis testing, and confidence estimation. A final chapter of in-depth theoretical details is included for interested mathematical statisticians.

Produktinformation

Utgivningsdatum2011-05-18
Mått156 x 234 x 24 mm
Vikt800 g
FormatInbunden
SpråkEngelska
Antal sidor345
FörlagTaylor & Francis Inc
ISBN9781439816974

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Dieter Rasch: Currently Senior Consultant at the Centre of Experimental Design: University of Natural Resources and Life Sciences, Vienna, Dr. Rasch is an Elected Member of the International Statistical Institute (ISI), a Fellow of the IMS, and author/co-author of 46 books and more than 260 scientific papers.From 1958- 1990, Dr. Rasch was Head of the Deparment (and Institute) of Biometry at the Research Centre Dummerstorf-Rostock, Germany. Afterwards, Dr. Rasch was professor of Mathematical Statistics at the University of Wageningen, The Netherlands from 1991 to 2000. Since 2000, he has served as a guest professor at the Math. Inst. of the University of Klagenfurt, the University Vienna, and at the Institute of Applied Statistics and Computing, University of Natural Resources and Life Sciences (2007 to 2010). Albrecht Gebhardt: Assistant professor at the Institute of Statistics, University of Klagenfurt since 2004. Jürgen Pilz: Professor and Chair of Applied Statistics at the University of Klagenfurt (UniKlu), Austria since 1994, and the head of the Department of Statistics at UniKlu since 2007. He has held many guest professorships, including at Purdue University, USA, Charles University, Prague,Czech Republic, the University of Augsburg, Germany, and the University of British Columbia, Vancouver, Canada. He is an Elected Member of the Int. Statist. Institute (ISI), a Fellow of the IMS, and author/co-author of six books and more than 100 scientific papers.Rob Verdooren: A Consultant Statistician at Danone Research, Centre for Spceialised Nutrition, Wageningen, the Netherlands. He is retired Associate Professor in Experimental Design and Analysis at the Agricultural Uniiversity Wageningen, the Netherlands. Besides Experimental Design, his interests lies in Biostatistics and the design and analysis of breeding trials of Oil Palms in Indonesia.

Introduction. Determining the Minimal Size of an Experiment for Given Precision: Sample Size Determination in Completely Randomised Designs. Size of Experiments in Analysis of Variance Models. Sample Size Determination in Model II of Regression Analysis. Sequential Designs. Construction of Optimal Designs: Constructing Balanced Incomplete Block Designs. Constructing Fractional Factorial Designs. Exact Optimal Designs and Sample Sizes in Model I of Regression Analysis. Special Designs. Second Order Designs. Mixture Designs. Theoretical Background.

the book provides an impressive amount of information that will be greatly helpful to OPDOE users. ... the book provides many examples, mainly from the fields of agriculture and animal science. ... readers will benefit from learning about a number of nifty functions in OPDOE, for example, its sample size solvers. -Wayne Adams and Mark Anderson, Technometrics, May 2012 Overall, I think that mathematically apt readers, who want to do sample size determination for nontrivial experimental setups or are interested in the ins and outs of balanced incomplete block designs, will benefit most from the book. -Ulrike Gromping, Journal of Statistical Software, October 2011