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Necessary Conditions For The Existence Of Some Incomplete Block Designs
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Book Synopsis Necessary Conditions for the Existence of Some Incomplete Block Designs by : Alan W. Benton
Download or read book Necessary Conditions for the Existence of Some Incomplete Block Designs written by Alan W. Benton and published by . This book was released on 1976 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: A development of nonexistence proofs of certain balanced incomplete block designs is presented which leads to simplifications of some of the necessary conditions for symmetrical balanced incomplete block designs (SBIBD). The unified approach of using properties of the integer matrices in determining necessary conditions for SBIBDs has been extended to intra- and inter-group balanced incomplete block designs which were defined by Nair and Bose. (Author).
Book Synopsis Nearly Balanced Incomplete Block Designs by : Ching-Shui Cheng
Download or read book Nearly Balanced Incomplete Block Designs written by Ching-Shui Cheng and published by . This book was released on 1979 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: A class of nearly balanced incomplete block designs is defined. This extends the concept of regular graph designs of John and Mitchell (1977) to the unequally replicated case. Some necessary conditions on the existence of such designs are derived. Methods of construction are given for some special cases. For five or six varieties, the 'best' nearly balanced incomplete block designs and their efficiencies are tabulated. (Author).
Book Synopsis Incomplete Block Designs by : Aloke Dey
Download or read book Incomplete Block Designs written by Aloke Dey and published by World Scientific. This book was released on 2010-08-31 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1963 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis National Bureau of Standards Report by : United States. National Bureau of Standards
Download or read book National Bureau of Standards Report written by United States. National Bureau of Standards and published by . This book was released on 1952 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Incomplete Block Designs by : Peter William Meredith John
Download or read book Incomplete Block Designs written by Peter William Meredith John and published by . This book was released on 1980 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frames and Resolvable Designs by : Steven Furino
Download or read book Frames and Resolvable Designs written by Steven Furino and published by CRC Press. This book was released on 1996-06-10 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frames, together with a modified fundamental construction, provide a powerful recursive mechanism for constructing resolvable balanced incomplete block designs (BIBDs). Frames and Resolvable Designs: Uses, Constructions and Existence presents a unique study of frames and their application to this construction. Chapter 1 sets the stage by describing the games combinatorialists play. It introduces basic combinatorial structures and construction techniques. Chapter 2 discusses frames extensively and includes comprehensive lists of direct and recursive constructions. Chapter 3 provides known classes of RBIBD constructions. Chapter 4 deals with existence results and demonstrates the utility of the frame approach. Chapter 5 is a series of informative tables useful for researchers. No other book tackles this demanding topic from these varied perspectives. Multi-faceted and written for easy access by different users, Frames and Resolvable Designs: Uses, Constructions and Existence is the right choice for students, as a text in advanced design theory; for researchers, as a resource complement to standard encyclopedic works; and for mathematicians and statisticians in this field, as a working handbook.
Book Synopsis A Necessary Condition for Existence of Regular and Symmetrical Experimental Designs of Triangular Type, with Partially Balanced Incomplete Blocks by : JUNJIRO. OGAWA
Download or read book A Necessary Condition for Existence of Regular and Symmetrical Experimental Designs of Triangular Type, with Partially Balanced Incomplete Blocks written by JUNJIRO. OGAWA and published by . This book was released on 1959 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the ... Conference on the Design of Experiments by :
Download or read book Proceedings of the ... Conference on the Design of Experiments written by and published by . This book was released on 1974 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1993-01-31 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applied Combinatorics, Third Edition by : Fred S. Roberts
Download or read book Applied Combinatorics, Third Edition written by Fred S. Roberts and published by CRC Press. This book was released on 2024-06-03 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this popular text presents the tools of combinatorics for a first undergraduate course. After introducing fundamental counting rules, tools of graph theory and relations, the focus is on three basic problems of combinatorics: counting, existence, and optimization problems.
Book Synopsis Block Designs: A Randomization Approach by : Tadeusz Calinski
Download or read book Block Designs: A Randomization Approach written by Tadeusz Calinski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is composed of two volumes, each consisting of five chapters. In Vol ume I, following some statistical motivation based on a randomization model, a general theory of the analysis of experiments in block designs has been de veloped. In the present Volume II, the primary aim is to present methods of that satisfy the statistical requirements described in constructing block designs Volume I, particularly those considered in Chapters 3 and 4, and also to give some catalogues of plans of the designs. Thus, the constructional aspects are of predominant interest in Volume II, with a general consideration given in Chapter 6. The main design investigations are systematized by separating the material into two contents, depending on whether the designs provide unit efficiency fac tors for some contrasts of treatment parameters (Chapter 7) or not (Chapter 8). This distinction in classifying block designs may be essential from a prac tical point of view. In general, classification of block designs, whether proper or not, is based here on efficiency balance (EB) in the sense of the new termi nology proposed in Section 4. 4 (see, in particular, Definition 4. 4. 2). Most of the attention is given to connected proper designs because of their statistical advantages as described in Volume I, particularly in Chapter 3. When all con trasts are of equal importance, either the class of (v - 1; 0; O)-EB designs, i. e.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1980 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Relations between Combinatorics and Other Parts of Mathematics by : Dijen Ray-Chaudhuri
Download or read book Relations between Combinatorics and Other Parts of Mathematics written by Dijen Ray-Chaudhuri and published by American Mathematical Soc.. This book was released on 1979 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings into focus interconnections between combinatorics on the one hand and geometry, group theory, number theory, special functions, lattice packings, logic, topological embeddings, games, experimental dsigns, and sociological and biological applications on the other hand.
Book Synopsis Statistical Design and Analysis of Experiments by : Peter W. M. John
Download or read book Statistical Design and Analysis of Experiments written by Peter W. M. John and published by SIAM. This book was released on 1998-01-01 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readers will find this book an invaluable reference on the design of experiments. It contains hard-to-find information on topics such as change-over designs with residual effects and early treatment of analysis of covariance. Other topics include linear models and quadratic forms, experiments with one or more factors, Latin square designs, and fractions of 2n factorial designs. There is also extensive coverage of the analysis of incomplete block designs and of the existence and construction of balanced and partially balanced designs. A new preface (to the classics edition) describes the changes made in experimental design since the book was first published in 1971. It discusses the use of personal computers to analyze data and details the emergence of industrial statistics.
Book Synopsis Design and Analysis of Experiments by : Angela M. Dean
Download or read book Design and Analysis of Experiments written by Angela M. Dean and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a step-by-step guide to the experimental planning process and the ensuing analysis of normally distributed data, emphasizing the practical considerations governing the design of an experiment. Data sets are taken from real experiments and sample SAS programs are included with each chapter. Experimental design is an essential part of investigation and discovery in science; this book will serve as a modern and comprehensive reference to the subject.
