Analysis And Design Of Certain Quantitative Multiresponse Experiments

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Analysis and Design of Certain Quantitative Multiresponse Experiments

Author : S. N. Roy,R. Gnanadesikan,J. N. Srivastava
Publisher : Elsevier
Page : 314 pages
File Size : 48,8 Mb
Release : 2014-05-15
Category : Reference
ISBN : 9781483157894

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Analysis and Design of Certain Quantitative Multiresponse Experiments by S. N. Roy,R. Gnanadesikan,J. N. Srivastava Pdf

Analysis and Design of Certain Quantitative Multiresponse Experiments highlights (i) the need for multivariate analysis of variance (MANOVA); (ii) the need for multivariate design for multiresponse experiments; and (iii) the actual procedures and interpretation that have been used for this purpose by the authors. The development in this monograph is such that the theory and methods of uniresponse analysis and design stay very close to classical ANOVA. The book first discusses the multivariate aspect of linear models for location type of parameters, but under a univariate design, i.e. one in which each experimental unit is measured or studied with respect to all the responses. Separate chapters cover point estimation of location parameters; testing of linear hypotheses; properties of test procedures; and confidence bounds on a set of parametric functions. Subsequent chapters discuss a graphical internal comparison method for analyzing certain kinds of multiresponse experimental data; two classes of multiresponse designs, i.e. designated hierarchical and p-block designs; and the construction of various kinds of multiresponse designs.

Analysis and Design of Certain Quantitative Multiresponse Experiments

Author : R. Gnanadesikan,S. N. Roy,Jagdish Narain Srivastava
Publisher : Unknown
Page : 304 pages
File Size : 46,8 Mb
Release : 1971
Category : Analysis of variance
ISBN : LCCN:71104118

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Analysis and Design of Certain Quantitative Multiresponse Experiments by R. Gnanadesikan,S. N. Roy,Jagdish Narain Srivastava Pdf

Analysis and Design of Certain Quantitative Multiresponse Experiments ; with an Appendix on Computer Algorithms and Programs by E.B. Fowlkes and Elisa T. Lee

Author : Samarendra Nath Roy
Publisher : Unknown
Page : 128 pages
File Size : 46,9 Mb
Release : 1971
Category : Experimental design
ISBN : 0080069177

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Analysis and Design of Certain Quantitative Multiresponse Experiments ; with an Appendix on Computer Algorithms and Programs by E.B. Fowlkes and Elisa T. Lee by Samarendra Nath Roy Pdf

Response Surfaces: Designs and Analyses

Author : Andre I. Khuri,John A. Cornell
Publisher : Routledge
Page : 536 pages
File Size : 53,9 Mb
Release : 2018-12-18
Category : Mathematics
ISBN : 9781351418706

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Response Surfaces: Designs and Analyses by Andre I. Khuri,John A. Cornell Pdf

Response Surfaces: Designs and Analyses; Second Edition presents techniques for designing experiments that yield adequate and reliable measurements of one or several responses of interest, fitting and testing the suitability of empirical models used for acquiring information from the experiments, and for utilizing the experimental results to make decisions concerning the system under investigation. This edition contains chapters on response surface models with block effects and on Taguchi's robust parameter design, additional details on transformation of response variable, more material on modified ridge analysis, and new design criteria, including rotatability for multiresponse experiments. It also presents an innovative technique for displaying correlation among several response. Numerical examples throughout the book plus exercises--with worked solutions to selected problems--complement the text.

Multivariate Analysis, Design of Experiments, and Survey Sampling

Author : Subir Ghosh
Publisher : CRC Press
Page : 692 pages
File Size : 52,9 Mb
Release : 1999-04-29
Category : Mathematics
ISBN : 082470052X

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Multivariate Analysis, Design of Experiments, and Survey Sampling by Subir Ghosh Pdf

"Describes recent developments and surveys important topics in the areas of multivariate analysis, design of experiments, and survey sampling. Features the work of nearly 50 international leaders."

Design and Analysis of Simulation Experiments

Author : Jack P.C. Kleijnen
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 54,9 Mb
Release : 2007-11-15
Category : Mathematics
ISBN : 9780387718132

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Design and Analysis of Simulation Experiments by Jack P.C. Kleijnen Pdf

Simulation is a widely used methodology in all Applied Science disciplines. This textbook focuses on this crucial phase in the overall process of applying simulation, and includes the best of both classic and modern methods of simulation experimentation. This book will be the standard reference book on the topic for both researchers and sophisticated practitioners, and it will be used as a textbook in courses or seminars focusing on this topic.

Optimal Mixture Experiments

Author : B.K. Sinha,N.K. Mandal,Manisha Pal,P. Das
Publisher : Springer
Page : 209 pages
File Size : 53,7 Mb
Release : 2014-05-24
Category : Mathematics
ISBN : 9788132217862

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Optimal Mixture Experiments by B.K. Sinha,N.K. Mandal,Manisha Pal,P. Das Pdf

​The book dwells mainly on the optimality aspects of mixture designs. As mixture models are a special case of regression models, a general discussion on regression designs has been presented, which includes topics like continuous designs, de la Garza phenomenon, Loewner order domination, Equivalence theorems for different optimality criteria and standard optimality results for single variable polynomial regression and multivariate linear and quadratic regression models. This is followed by a review of the available literature on estimation of parameters in mixture models. Based on recent research findings, the volume also introduces optimal mixture designs for estimation of optimum mixing proportions in different mixture models, which include Scheffé’s quadratic model, Darroch-Waller model, log- contrast model, mixture-amount models, random coefficient models and multi-response model. Robust mixture designs and mixture designs in blocks have been also reviewed. Moreover, some applications of mixture designs in areas like agriculture, pharmaceutics and food and beverages have been presented. Familiarity with the basic concepts of design and analysis of experiments, along with the concept of optimality criteria are desirable prerequisites for a clear understanding of the book. It is likely to be helpful to both theoreticians and practitioners working in the area of mixture experiments.

Matrix Algebra Useful for Statistics

Author : Shayle R. Searle,Andre I. Khuri
Publisher : John Wiley & Sons
Page : 512 pages
File Size : 46,8 Mb
Release : 2017-05-01
Category : Mathematics
ISBN : 9781118935149

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Matrix Algebra Useful for Statistics by Shayle R. Searle,Andre I. Khuri Pdf

A thoroughly updated guide to matrix algebra and it uses in statistical analysis and features SAS®, MATLAB®, and R throughout This Second Edition addresses matrix algebra that is useful in the statistical analysis of data as well as within statistics as a whole. The material is presented in an explanatory style rather than a formal theorem-proof format and is self-contained. Featuring numerous applied illustrations, numerical examples, and exercises, the book has been updated to include the use of SAS, MATLAB, and R for the execution of matrix computations. In addition, André I. Khuri, who has extensive research and teaching experience in the field, joins this new edition as co-author. The Second Edition also: Contains new coverage on vector spaces and linear transformations and discusses computational aspects of matrices Covers the analysis of balanced linear models using direct products of matrices Analyzes multiresponse linear models where several responses can be of interest Includes extensive use of SAS, MATLAB, and R throughout Contains over 400 examples and exercises to reinforce understanding along with select solutions Includes plentiful new illustrations depicting the importance of geometry as well as historical interludes Matrix Algebra Useful for Statistics, Second Edition is an ideal textbook for advanced undergraduate and first-year graduate level courses in statistics and other related disciplines. The book is also appropriate as a reference for independent readers who use statistics and wish to improve their knowledge of matrix algebra. THE LATE SHAYLE R. SEARLE, PHD, was professor emeritus of biometry at Cornell University. He was the author of Linear Models for Unbalanced Data and Linear Models and co-author of Generalized, Linear, and Mixed Models, Second Edition, Matrix Algebra for Applied Economics, and Variance Components, all published by Wiley. Dr. Searle received the Alexander von Humboldt Senior Scientist Award, and he was an honorary fellow of the Royal Society of New Zealand. ANDRÉ I. KHURI, PHD, is Professor Emeritus of Statistics at the University of Florida. He is the author of Advanced Calculus with Applications in Statistics, Second Edition and co-author of Statistical Tests for Mixed Linear Models, all published by Wiley. Dr. Khuri is a member of numerous academic associations, among them the American Statistical Association and the Institute of Mathematical Statistics.

Six Sigma and Beyond

Author : D.H. Stamatis
Publisher : CRC Press
Page : 654 pages
File Size : 46,9 Mb
Release : 2002-10-29
Category : Business & Economics
ISBN : 1420000284

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Six Sigma and Beyond by D.H. Stamatis Pdf

I In this volume, the author demystifies the Design of Experiments (DOE). He begins with a clear explanation of the traditional experimentation process. He then covers the concept of variation and the importance of experimentation and follows through with applications. Stamatis also discusses full and fractional factorials. The strength of this volume lies in the fact that not only does it introduce the concept of robustness, it also addresses "Robust Designs" with discussions on the Taguchi methodology of experimentation. And throughout the author ties these concepts into the Six Sigma philosophy and shows readers how they use those concepts in their organizations.

Developments in Statistics

Author : Paruchuri R. Krishnaiah
Publisher : Academic Press
Page : 352 pages
File Size : 45,7 Mb
Release : 2014-06-28
Category : Mathematics
ISBN : 9781483264868

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Developments in Statistics by Paruchuri R. Krishnaiah Pdf

Development in Statistics, Volume 1 is a collection of papers that deals with theory and application of parameter estimation in stochastic differential systems, the comparative aspects of the study of ordinary time series, and real multivariate distributions. Some papers discuss covariance analysis of nonstationary time series, nonparametric repeated significance tests, as well as discrete optimal factorial designs for statisticians and investigators of experiments. One paper cites an application of parameter estimation in stochastic differential systems in approximates of stability and control derivatives from flight test data. Another paper cites cases where procedures of ordinary time series (or point processes) have direct analogs in the study of point processes (or ordinary time series). One paper explains the applications of multivariate distributions in simultaneous tests on the equality of eigenvalues toward the covariance matrix, canonical correlation matrix, and a matrix associated with the multivariate analysis of variance. Another paper reviews two types of repeated significance tests, namely, the genuinely distribution-free tests based on a broad class of nonparametric statistics; and the asymptotically distribution-free tests based on a broad class of parametric statistics but having asymptotically nonparametric behavior. Both types can provide a unified solution to a broad class of problems. The collection can be valuable for mathematicians, students, and professors of calculus, statistics, or advanced mathematics.

Multivariate Observations

Author : George A. F. Seber
Publisher : John Wiley & Sons
Page : 718 pages
File Size : 44,6 Mb
Release : 2009-09-25
Category : Mathematics
ISBN : 9780470317310

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Multivariate Observations by George A. F. Seber Pdf

WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. "In recent years many monographs have been published on specialized aspects of multivariate data-analysis–on cluster analysis, multidimensional scaling, correspondence analysis, developments of discriminant analysis, graphical methods, classification, and so on. This book is an attempt to review these newer methods together with the classical theory. . . . This one merits two cheers." –J. C. Gower, Department of Statistics Rothamsted Experimental Station, Harpenden, U.K. Review in Biometrics, June 1987 Multivariate Observations is a comprehensive sourcebook that treats data-oriented techniques as well as classical methods. Emphasis is on principles rather than mathematical detail, and coverage ranges from the practical problems of graphically representing high-dimensional data to the theoretical problems relating to matrices of random variables. Each chapter serves as a self-contained survey of a specific topic. The book includes many numerical examples and over 1,100 references.

Advances in Growth Curve Models

Author : Ratan Dasgupta
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 49,6 Mb
Release : 2013-07-23
Category : Mathematics
ISBN : 9781461468622

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Advances in Growth Curve Models by Ratan Dasgupta Pdf

Advances in Growth Curve Models: Topics from the Indian Statistical Institute is developed from the Indian Statistical Institute's A National Conference on Growth Curve Models. This conference took place between March 28-30, 2012 in Giridih, Jharkhand, India. Jharkhand is a tribal area. Advances in Growth Curve Models: Topics from the Indian Statistical Institute shares the work of researchers in growth models used in multiple fields. A growth curve is an empirical model of the evolution of a quantity over time. Case studies and theoretical findings, important applications in everything from health care to population projection, form the basis of this volume. Growth curves in longitudinal studies are widely used in many disciplines including: Biology, Population studies, Economics, Biological Sciences, SQC, Sociology, Nano-biotechnology, and Fluid mechanics. Some included reports are research topics that have just been developed, whereas others present advances in existing literature. Both included tools and techniques will assist students and researchers in their future work. Also included is a discussion of future applications of growth curve models.

Multivariate Analysis of Variance

Author : Robert Redinger
Publisher : Marketing Classics Press
Page : 16 pages
File Size : 53,5 Mb
Release : 2011-06-30
Category : Business & Economics
ISBN : 9781613111734

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Multivariate Analysis of Variance by Robert Redinger Pdf