The Construction And Analysis Of Nested Partially Balanced Incomplete Block Designs
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Block Designs: Analysis, Combinatorics And Applications
Author | : Damaraju Raghavarao |
Publisher | : World Scientific |
Total Pages | : 224 |
Release | : 2005-10-11 |
Genre | : Mathematics |
ISBN | : 9814480231 |
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.
An Author and Permuted Title Index to Selected Statistical Journals
Author | : Brian L. Joiner |
Publisher | : |
Total Pages | : 512 |
Release | : 1970 |
Genre | : Annals of mathematical statistics |
ISBN | : |
All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.
Incomplete Block Designs
Author | : Aloke Dey |
Publisher | : World Scientific |
Total Pages | : 291 |
Release | : 2010-08-31 |
Genre | : Mathematics |
ISBN | : 9814464104 |
This book presents a systematic, rigorous and comprehensive account of the theory and applications of incomplete block designs. All major aspects of incomplete block designs are considered by consolidating vast amounts of material from the literature including the classical incomplete block designs, like the balanced incomplete block (BIB) and partially balanced incomplete block (PBIB) designs. Other developments like efficiency-balanced designs, nested designs, robust designs, C-designs and alpha designs are also discussed, along with more recent developments in incomplete block designs for special types of experiments, like biological assays, test-control experiments and diallel crosses, which are generally not covered in existing books. Results on the optimality aspects of various incomplete block designs are reviewed in a separate chapter, that also includes recent optimality results for test-control comparisons, parallel-line assays and diallel cross experiments.
Block Designs: A Randomization Approach
Author | : Tadeusz Calinski |
Publisher | : Springer Science & Business Media |
Total Pages | : 323 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461211921 |
This book will be of interest to mathematical statisticians and biometricians interested in block designs. The emphasis of the book is on the randomization approach to block designs. After presenting the general theory of analysis based on the randomization model in Part I, the constructional and combinatorial properties of design are described in Part II. The book includes many new or recently published materials.
MODA 5 - Advances in Model-Oriented Data Analysis and Experimental Design
Author | : Anthony C. Atkinson |
Publisher | : Springer Science & Business Media |
Total Pages | : 297 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 364258988X |
This volume contains the majority of the papers presented at the 5th Inter national Workshop on Model-Oriented Data Analysis held in June 1998. This series started in March 1987 with a meeting on the Wartburg, Eisenach (Germany). The next three meetings were in 1990 (St Kyrik monastery, Bulgaria), 1992 (Petrodvorets, StPetersburg, Russia) and 1995 (Spetses, Greece). The main purpose of these workshops was to bring together lead ing scientists from 'Eastern' and 'Western' Europe for the exchange of ideas in theoretical and applied statistics, with special emphasis on experimen tal design. Now that the separation between East and West has become less rigid, this dialogue has, in principle, become much easier. However, providing opportunities for this dialogue is as vital as ever. MODA meetings are known for their friendly atmosphere, leading to fruitful discussions and collaboration, especially between young and senior scien tists. Indeed, many long term collaborations were initiated during these events. This intellectually stimulating atmosphere is achieved by limiting the number of participants to around eighty, by the choice of location so that participants can live as a community, and, of course, through the care ful selection of scientific direction made by the Programme Committee.
Proceedings
Author | : Jennifer Seberry |
Publisher | : |
Total Pages | : 272 |
Release | : 1972 |
Genre | : Combinatorial analysis |
ISBN | : |
Association Schemes
Author | : R. A. Bailey |
Publisher | : Cambridge University Press |
Total Pages | : 410 |
Release | : 2004-02-26 |
Genre | : Mathematics |
ISBN | : 9781139449939 |
Association schemes are of interest to both mathematicians and statisticians and this book was written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of advanced research. This book arose from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to develop their understanding of association schemes.
Repeated Measurements and Cross-Over Designs
Author | : Damaraju Raghavarao |
Publisher | : John Wiley & Sons |
Total Pages | : 272 |
Release | : 2014-04-14 |
Genre | : Science |
ISBN | : 111870925X |
An introduction to state-of-the-art experimental design approaches to better understand and interpret repeated measurement data in cross-over designs. Repeated Measurements and Cross-Over Designs: Features the close tie between the design, analysis, and presentation of results Presents principles and rules that apply very generally to most areas of research, such as clinical trials, agricultural investigations, industrial procedures, quality control procedures, and epidemiological studies Includes many practical examples, such as PK/PD studies in the pharmaceutical industry, k-sample and one sample repeated measurement designs for psychological studies, and residual effects of different treatments in controlling conditions such as asthma, blood pressure, and diabetes. Utilizes SAS(R) software to draw necessary inferences. All SAS output and data sets are available via the book's related website. This book is ideal for a broad audience including statisticians in pre-clinical research, researchers in psychology, sociology, politics, marketing, and engineering.
Biometrika
Author | : D. M. Titterington |
Publisher | : |
Total Pages | : 404 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 9780198509936 |
The year 2001 marks the centenary of Biometrika, one of the world's leading academic journals in statistical theory and methodology. In celebration of this, the book brings together two sets of papers from the journal. The first comprises seven specially commissioned articles (authors: D.R. Cox, A.C. Davison, Anthony C. Atkinson and R.A. Bailey, David Oakes, Peter Hall, T.M.F. Smith, and Howell Tong). These articles review the history of the journal and the most important contributions made by appearing in the journal in a number of important areas of statitisical activity, including general theory and methodology, surveys and time sets. In the process the papers describe the general development of statistical science during the twentieth century. The second group of ten papers are a selection of particularly seminal articles form the journal's first hundred years. The book opens with an introduction by the editors Professor D.M. Titterington and Sir David Cox.