Incomplete Block Designs

Incomplete Block Designs PDF Author: Aloke Dey
Publisher: World Scientific
ISBN: 9814322687
Category : Mathematics
Languages : en
Pages : 291

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Book Description
Presents an account of the theory and applications of incomplete block designs. This title considers various major aspects of incomplete block designs by consolidating material from the literature - the classical incomplete block designs, like the balanced incomplete block (BIB) and partially balanced incomplete block (PBIB) designs.

Incomplete Block Designs

Incomplete Block Designs PDF Author: Aloke Dey
Publisher: World Scientific
ISBN: 9814322687
Category : Mathematics
Languages : en
Pages : 291

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Book Description
Presents an account of the theory and applications of incomplete block designs. This title considers various major aspects of incomplete block designs by consolidating material from the literature - the classical incomplete block designs, like the balanced incomplete block (BIB) and partially balanced incomplete block (PBIB) designs.

Statistical Analysis of Designed Experiments

Statistical Analysis of Designed Experiments PDF Author: Helge Toutenburg
Publisher: Springer Science & Business Media
ISBN: 0387227725
Category : Mathematics
Languages : en
Pages : 507

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Book Description
Unique in commencing with relatively simple statistical concepts and ideas found in most introductory statistical textbooks, this book goes on to cover more material useful for undergraduates and graduate in statistics and biostatistics.

Block Designs

Block Designs PDF Author: Damaraju Raghavarao
Publisher: World Scientific
ISBN: 9812563601
Category : Mathematics
Languages : en
Pages : 224

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Book Description
Combinatorial mathematicians and statisticians have made a wide range of contributions to the development of block designs, and this book brings together much of that work. The designs developed for a specific problem are used in a variety of different settings. Applications include controlled sampling, randomized response, validation and valuation studies, intercropping experiments, brand cross-effect designs, lotto and tournaments.The intra- and inter- block, nonparametric and covariance analysis are discussed for general block designs, and the concepts of connectedness, orthogonality, and all types of balances in designs are carefully summarized. Readers are also introduced to the designs currently playing a prominent role in the field: alpha designs, trend-free designs, balanced treatment-control designs, nearest neighbor designs, and nested designs.This book provides the important background results required by researchers in block designs and related areas and prepares them for more complex research on the subject.

Design of Comparative Experiments

Design of Comparative Experiments PDF Author: R. A. Bailey
Publisher: Cambridge University Press
ISBN: 1139469916
Category : Mathematics
Languages : en
Pages : 345

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Book Description
This book should be on the shelf of every practising statistician who designs experiments. Good design considers units and treatments first, and then allocates treatments to units. It does not choose from a menu of named designs. This approach requires a notation for units that does not depend on the treatments applied. Most structure on the set of observational units, or on the set of treatments, can be defined by factors. This book develops a coherent framework for thinking about factors and their relationships, including the use of Hasse diagrams. These are used to elucidate structure, calculate degrees of freedom and allocate treatment subspaces to appropriate strata. Based on a one-term course the author has taught since 1989, the book is ideal for advanced undergraduate and beginning graduate courses. Examples, exercises and discussion questions are drawn from a wide range of real applications: from drug development, to agriculture, to manufacturing.

Applied Statistical Methods in Agriculture, Health and Life Sciences

Applied Statistical Methods in Agriculture, Health and Life Sciences PDF Author: Bayo Lawal
Publisher: Springer
ISBN: 3319055550
Category : Medical
Languages : en
Pages : 816

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Book Description
This textbook teaches crucial statistical methods to answer research questions using a unique range of statistical software programs, including MINITAB and R. This textbook is developed for undergraduate students in agriculture, nursing, biology and biomedical research. Graduate students will also find it to be a useful way to refresh their statistics skills and to reference software options. The unique combination of examples is approached using MINITAB and R for their individual strengths. Subjects covered include among others data description, probability distributions, experimental design, regression analysis, randomized design and biological assay. Unlike other biostatistics textbooks, this text also includes outliers, influential observations in regression and an introduction to survival analysis. Material is taken from the author's extensive teaching and research in Africa, USA and the UK. Sample problems, references and electronic supplementary material accompany each chapter.

Optimal Experimental Design with R

Optimal Experimental Design with R PDF Author: Dieter Rasch
Publisher: CRC Press
ISBN: 1439816980
Category : Mathematics
Languages : en
Pages : 340

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Book Description
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 experi

Combinatorial Group Testing and Its Applications

Combinatorial Group Testing and Its Applications PDF Author: Dingzhu Du
Publisher: World Scientific
ISBN: 9810241070
Category : Mathematics
Languages : en
Pages : 337

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Book Description
Group testing has been used in medical, chemical and electrical testing, coding, drug screening, pollution control, multiaccess channel management, and recently in data verification, clone library screening and AIDS testing. The mathematical model can be either combinatorial or probabilistic. This book summarizes all important results under the combinatorial model, and demonstrates their applications in real problems. Some other search problems, including the famous counterfeit-coins problem, are also studied in depth. There are two reasons for publishing a second edition of this book. The first is the usual need to update the text (after six years) and correct errors. The second -- and more important -- reason is to accommodate the recent sudden growth of interest in applying the idea of group testing to clone library screening. This development is much more than just a new application, since the new application brings with it new objectives which require a new twist of theory. It also embraces the growing importance of two topics: nonadaptive algorithms and error tolerance. Two new chapters, one on clone library screening and the other on error tolerance, have been added. Also included is a new chapter on counterfeit coins, the most famous search problem historically, which recently drew on an unexpected connection to some deep mathematical theory to yield new results. Finally, the chapters have been recognized into parts to provide focuses and perspectives.

Combinatorial Theory

Combinatorial Theory PDF Author: Marshall Hall
Publisher: John Wiley & Sons
ISBN: 9780471315186
Category : Mathematics
Languages : en
Pages : 464

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Book Description
Includes proof of van der Waerden's 1926 conjecture on permanents, Wilson's theorem on asymptotic existence, and other developments in combinatorics since 1967. Also covers coding theory and its important connection with designs, problems of enumeration, and partition. Presents fundamentals in addition to latest advances, with illustrative problems at the end of each chapter. Enlarged appendixes include a longer list of block designs.

Methods of Randomization in Experimental Design

Methods of Randomization in Experimental Design PDF Author: Valentim R. Alferes
Publisher: SAGE
ISBN: 1452202923
Category : Psychology
Languages : en
Pages : 209

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Book Description
This text provides a conceptual systematization and a practical tool for the randomization of between-subjects and within-subjects experimental designs.

Design and Analysis of Experiments, Introduction to Experimental Design

Design and Analysis of Experiments, Introduction to Experimental Design PDF Author: Klaus Hinkelmann
Publisher: John Wiley & Sons
ISBN: 9780471551782
Category : Mathematics
Languages : en
Pages : 528

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Book Description
Design and analysis of experiments/Hinkelmann.-v.1.