Optimal experimental design with R

Dieter Rasch ... [et al.]

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 programs Teaches 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.

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[目次]

  • basic definitions Fractional factorials design with two levels of each factor (2p-k designs) Fractional factorial designs with three levels of each factor (3p-k-designs) Exact Optimal Designs and Sample Sizes in Model I of Regression Analysis Introduction Exact ?-optimal designs Determining the size of an experiment Special Designs Second Order Designs Central composite designs Doehlert designs D-optimum and G-optimum second order designs Comparing the determinant criterion for some examples Mixture Designs Introduction The simplex lattice designs Simplex centroid designs Extreme vertice designs Augmented designs Constructing optimal mixture designs with R An example Theoretical Background Non-central distributions Groups, fields and finite geometries Difference sets Hadamard matrices Existence and non-existence of non-trivial BIBD Conference matrices Index

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この本の情報

書名 Optimal experimental design with R
著作者等 Rasch, Dieter
Gebhardt, Albrecht
Verdooren, L. R.
Pilz, Jurgen
シリーズ名 A Chapman & Hall book
出版元 CRC Press
刊行年月 c2011
ページ数 xix, 325 p.
大きさ 25 cm
ISBN 9781439816974
NCID BB06178480
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言語 英語
出版国 アメリカ合衆国
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