Series: Interdisciplinary Statistics
ISBN: 9781584888161
Publication Date: 10/27/2008
Number of Pages: 320
Provides an overview of methods for the design, conduct, and analysis of CRTs for new health inventions
Focuses on the practical issues faced by investigators
Features case studies to illustrate methods
Presents real-world datasets, analyzed and interpreted using Stata
There is an increasing need for new health interventions to be rigorously evaluated through randomized controlled trials, which have become the gold standard for intervention studies. In addition, there is increasing acceptance of cluster randomized trials (CRTs) as the most appropriate choice of study design. Cluster Randomised Trials covers the design, analysis, and conduct of health intervention trails in which groups or clusters of individuals are randomized to different conditions. With an emphasis on key concepts rather than mathematical details, the book uses case studies to illustrate methods and Stata code based on real-world datasets to demonstrate analytical methods.
Series: Interdisciplinary Statistics
ISBN: 9781584889359
Publication Date: 10/26/2008
Number of Pages: 270
Presents an integrated approach to cluster detection and surveillance
Illustrates methods using real-world datasets
Describes the application of GeoSurveillance software
Includes examples to enhance understanding of the concepts
Methods to monitor geographic patterns have received growing interest in recent years. Using an integrated approach, Statistical Detection and Monitoring of Geographic Clusters provides a thorough review of methods for cluster detection, organized according to the different types of hypotheses that can be investigated using these techniques. The book presents various methods that allow for quick detection of emergent geographic clusters. It includes actual datasets and simplified examples to illustrate key concepts. The authors also discuss the surveillance of geographic patterns and describe applications using GeoSurveillance software, which is available for download on the web.
Series: Statistics: A Series of Textbooks and Monographs
ISBN: 9781420065831
Publication Date: 2/25/2009
Number of Pages: 550
Presents a step-by-step approach to solve mathematical problems
Establishes a foundation for studying more advanced topics
Illustrates the techniques and methods of applied inferences via Minitab
Contains a CD-ROM with reference datasets
Includes a solutions manual for qualifying instructors
Applied Statistical Inference presents a step-by-step approach to working out mathematical problems, illustrating the techniques and methods of applied inferences using the statistical software package Minitabｮ. Requiring only basic knowledge of statistics and intermediate knowledge of algebra, the text provides a fundamental understanding of applied statistics, which serves as a foundation for studying more advanced topics. Intended for a second course in applied statistics, this comprehensive undergraduate textbook contains a solutions manual as well as reference datasets on an accompanying CD-ROM and for download on the web.
Series: Lecture Notes in Logic
Hardback (ISBN-13: 9780521899512)
Page extent: 464 pages
Size: 228 x 152 mm
The proceedings of the Los Angeles Caltech-UCLA “Cabal Seminar” were originally published in the 1970s and 1980s. Games, Scales, and Suslin Cardinals is the first of a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics, and discussion of research developments since the publication of the original volumes. Focusing on the subjects of “Games and Scales” (Part 1) and “Suslin Cardinals, Partition Properties, and Homogeneity” (Part 2), each of the two sections is preceded by an introductory survey putting the papers into present context. This volume will be an invaluable reference for anyone interested in higher set theory.
Includes updated/revised material from original volume of Cabal Seminars.
Part I. Games and Scales: 1. Games and scales. introduction to part I John R. Steel; 2. Notes on the theory of scales Alexander S. Kechris and Yiannis N. Moschovakis; 3. Propagation of the scale property using games Itay Neeman; 4. Scales on E-sets John R. Steel; 5. Inductive scales on inductive sets Yiannis N. Moschovakis; 6. The extent of scales in L(R) Donald A. Martin and John R. Steel; 7. The largest countable this, that, and the other Donald A. Martin; 8. Scales in L(R) John R. Steel; 9. Scales in K(R) John R. Steel; 10. The real game quantifier propagates scales Donald A. Martin; 11. Long games John R. Steel; 12. The length-w1 open game quantifier propagates scales John R. Steel; Part II. Suslin Cardinals, Partition Properties, Homogeneity: 13. Suslin cardinals, partition properties, homogeneity. introduction to part II Steve Jackson; 14. Suslin cardinals, K-suslin sets and the scale property in the hyperprojective hierarchy Alexander S. Kechris; 15. The axiom of determinacy, strong partition properties and nonsingular measures Alexander S. Kechris, Eugene M. Kleinberg, Yiannis N. Moschovakis, and W. Hugh Woodin; 16. The equivalence of partition properties and determinacy Alexander S. Kechris; 17. Generic codes for uncountable ordinals, partition properties, and elementary embeddings Alexander S. Kechris and W. Hugh Woodin; 18. A coding theorem for measures Alexander S. Kechris; 19. The tree of a Moschovakis scale is homogeneous Donald A. Martin and John R. Steel; 20. Weakly homogeneous trees Donald A. Martin and W. Hugh Woodin.
Series: Cambridge Studies in Advanced Mathematics (No. 114)
Hardback (ISBN-13: 9780521753081)
15 worked examples
Page extent: 450 pages
Size: 228 x 152 mm
As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. Detailed notes for each chapter, together with an exhaustive bibliography, enhance understanding of the main results.
* A detailed treatment of the class of algebro-geometric solutions and
their representations in terms of Riemann theta functions * Rigorous and
self-contained presentation at graduate level * Four appendices and an
exhaustive bibliography provide extensive background material
Acknowledgments; Introduction; 1. The Toda hierarchy; 2. The Kac?van Moerbeke hierarchy; 3. The Ablowitz?Ladik hierarchy; A. Algebraic Curves and Their Theta Functions in a Nutshell; B. Hyperelliptic Curves of the Toda-Type; C. Asymptotic Spectral Parameter Expansions; D. Lagrange Interpolation; List of Symbols; Bibliography; Index; Errata and Addenda for Volume I.
Paperback (ISBN-13: 9780521722360)
3 tables 150 exercises
Page extent: 248 pages
Size: 228 x 152 mm
The theory of numbers is generally considered to be the ‘purest’ branch of pure mathematics and demands exactness of thought and exposition from its devotees. It is also one of the most highly active and engaging areas of mathematics. Now into its eighth edition The Higher Arithmetic introduces the concepts and theorems of number theory in a way that does not require the reader to have an in-depth knowledge of the theory of numbers but also touches upon matters of deep mathematical significance. Since earlier editions, additional material written by J. H. Davenport has been added, on topics such as Wiles' proof of Fermat's Last Theorem, computers and number theory, and primality testing. Written to be accessible to the general reader, with only high school mathematics as prerequisite, this classic book is also ideal for undergraduate courses on number theory, and covers all the necessary material clearly and succinctly.
* Eighth edition brings this classic right up to date ? Includes state-of-the-art
material on primality testing and the uses of computers in number theory
* Companion website (www.cambridge.org/davenport) provides more details
of the latest advances and sample code for important algorithms
Introduction; 1. Factorization and the primes; 2. Congruences; 3. Quadratic residues; 4. Continued fractions; 5. Sums of squares; 6. Quadratic forms; 7. Some Diophantine equations; 8. Computers and number theory; Exercises; Hints; Answers; Bibliography; Index; Additional notes.