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A Calculus For Factorial Arrangements


A Calculus For Factorial Arrangements
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A Calculus For Factorial Arrangements


A Calculus For Factorial Arrangements
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Author : Sudhir Gupta
language : en
Publisher:
Release Date : 1989-11-01

A Calculus For Factorial Arrangements written by Sudhir Gupta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-11-01 with categories.




A Calculus For Factorial Arrangements


A Calculus For Factorial Arrangements
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Author : Sudhir Gupta
language : en
Publisher: Springer My Copy UK
Release Date : 1989

A Calculus For Factorial Arrangements written by Sudhir Gupta and has been published by Springer My Copy UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Block designs categories.




A Calculus For Factorial Arrangements


A Calculus For Factorial Arrangements
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Author : B. KURKJIAN
language : en
Publisher:
Release Date : 1961

A Calculus For Factorial Arrangements written by B. KURKJIAN and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.


A special calculus for the analysis of factorial experiments is introduced. The calculus applies to the general case of asymmetric factorial experiments and is not restricted to symmetric factorials as is the current theory which relies on the theory of finite projective geometry. The concise notation and operations of this calculus point up the relationship of treatment combinations to interactions and the effect of patterns of arrangements on the distribution of relevant quantities. One aim is to carry out complex manipulations and operations with relative ease. The calculus enables many large order arithmetic operations, necessary for analyzing factorial designs, to be partly carried out by logical operations. This should be of importance in programming the analysis of factorial designs on high speed computers. (Author).



Theory Of Factorial Design


Theory Of Factorial Design
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Author : Ching-Shui Cheng
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Theory Of Factorial Design written by Ching-Shui Cheng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.


Bringing together both new and old results, Theory of Factorial Design: Single- and Multi-Stratum Experiments provides a rigorous, systematic, and up-to-date treatment of the theoretical aspects of factorial design. To prepare readers for a general theory, the author first presents a unified treatment of several simple designs, including completely randomized designs, block designs, and row-column designs. As such, the book is accessible to readers with minimal exposure to experimental design. With exercises and numerous examples, it is suitable as a reference for researchers and as a textbook for advanced graduate students. In addition to traditional topics and a thorough discussion of the popular minimum aberration criterion, the book covers many topics and new results not found in existing books. These include results on the structures of two-level resolution IV designs, methods for constructing such designs beyond the familiar foldover method, the extension of minimum aberration to nonregular designs, the equivalence of generalized minimum aberration and minimum moment aberration, a Bayesian approach, and some results on nonregular designs. The book also presents a theory that provides a unifying framework for the design and analysis of factorial experiments with multiple strata (error terms) arising from complicated structures of the experimental units. This theory can be systematically applied to various structures of experimental units instead of treating each on a case-by-case basis.



Fractional Factorial Plans


Fractional Factorial Plans
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Author : Aloke Dey
language : en
Publisher: John Wiley & Sons
Release Date : 2009-09-25

Fractional Factorial Plans written by Aloke Dey and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-25 with Mathematics categories.


A one-stop reference to fractional factorials and relatedorthogonal arrays. Presenting one of the most dynamic areas of statistical research,this book offers a systematic, rigorous, and up-to-date treatmentof fractional factorial designs and related combinatorialmathematics. Leading statisticians Aloke Dey and Rahul Mukerjeeconsolidate vast amounts of material from the professionalliterature--expertly weaving fractional replication, orthogonalarrays, and optimality aspects. They develop the basic theory offractional factorials using the calculus of factorial arrangements,thereby providing a unified approach to the study of fractionalfactorial plans. An indispensable guide for statisticians inresearch and industry as well as for graduate students, FractionalFactorial Plans features: * Construction procedures of symmetric and asymmetric orthogonalarrays. * Many up-to-date research results on nonexistence. * A chapter on optimal fractional factorials not based onorthogonal arrays. * Trend-free plans, minimum aberration plans, and search andsupersaturated designs. * Numerous examples and extensive references.



Linear Estimation And Design Of Experiments


Linear Estimation And Design Of Experiments
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Author : D. D. Joshi
language : en
Publisher: New Age International
Release Date : 1987

Linear Estimation And Design Of Experiments written by D. D. Joshi and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Science categories.




Design And Analysis Of Experiments


Design And Analysis Of Experiments
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Author : Manindra Nath Das
language : en
Publisher: New Age International
Release Date : 1979

Design And Analysis Of Experiments written by Manindra Nath Das and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Experimental design categories.




Design And Analysis Of Experiments Volume 2


Design And Analysis Of Experiments Volume 2
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Author : Klaus Hinkelmann
language : en
Publisher: John Wiley & Sons
Release Date : 2005-05-13

Design And Analysis Of Experiments Volume 2 written by Klaus Hinkelmann and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-13 with Mathematics categories.


The development and introduction of new experimental designs in the last fifty years has been quite staggering, brought about largely by an ever-widening field of applications. Design and Analysis of Experiments, Volume 2: Advanced Experimental Design is the second of a two-volume body of work that builds upon the philosophical foundations of experimental design set forth by Oscar Kempthorne half a century ago and updates it with the latest developments in the field. Designed for advanced-level graduate students and industry professionals, this text includes coverage of incomplete block and row-column designs; symmetrical, asymmetrical, and fractional factorial designs; main effect plans and their construction; supersaturated designs; robust design, or Taguchi experiments; lattice designs; and cross-over designs.



Statistical Design And Analysis Of Industrial Experiments


Statistical Design And Analysis Of Industrial Experiments
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Author : Ghosh
language : en
Publisher: CRC Press
Release Date : 1990-05-25

Statistical Design And Analysis Of Industrial Experiments written by Ghosh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-05-25 with Mathematics categories.




Linear Models And Design


Linear Models And Design
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Author : Jay H. Beder
language : en
Publisher: Springer Nature
Release Date : 2022-11-14

Linear Models And Design written by Jay H. Beder and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-14 with Mathematics categories.


This book is designed as a textbook for graduate students and as a resource for researchers seeking a thorough mathematical treatment of its subject. It develops the main results of regression and the analysis of variance, as well as the central results on confounded and fractional factorial experiments. Matrix theory is deemphasized; its role is taken instead by the theory of linear transformations between vector spaces. The text gives a carefully paced and unified presentation of two topics, linear models and experimental design. Students are assumed to have a solid background in linear algebra, basic knowledge of regression and analysis of variance, and some exposure to experimental design, and should be comfortable with reading and constructing mathematical proofs. The book leads students into the mathematical theory, including many examples both for motivation and for illustration. Over 130 exercises of varying difficulty are included. An extensive mathematical appendix and a detailed index make the text especially accessible. Linear Models and Design can serve as a textbook for a year-long course in the topics covered, or for a one-semester course in either linear model theory or experimental design. It prepares students for more advanced topics in the field, and assists in developing a thoughtful approach to the existing literature. It includes a guide to terminology as well as discussion of the history and development of ideas, and offers a fresh perspective on the fundamental concepts and results of the subject.