Robert Ho Central Queensland University, Rockhampton, Australia

Handbook of Univariate and Multivariate Data Analysis
and Interpretation with SPSS

ISBN: 1584886021
Publication Date: 3/29/2006
Number of Pages: 440
Availability: Not Yet Published

Provides hands-on guidance through the selection, execution, and interpretation of data analysis methods
Emphasizes the purpose of each test and the research designs for which they are relevant
Includes SPSS menu-driven commands and syntax files for performing the tests
Provides all SPSS codes and programs found in the book available for download from the Internet

Emphasizing practical implementation rather than theoretical or mathematical development, this handbook provides hands-on coverage of univariate and multivariate approaches to data analysis. For each method, the author clearly explains the purpose of the test and the research designs to which they apply. Offering practical guidance through test selection, execution, and interpretation, the book provides the instructions used for performing the test and discusses how the results should be interpreted. The text uses SPSS software to perform the analyses, providing code, menu-driven commands, and syntax files throughout the text. All of the SPSS code and programs can be downloaded from the Internet.

Table of Contents

Inferential Statistics and Test Selection. Introduction to SPSS. Multiple Response. T-Test for Independent Groups. Paired-Samples T-Test. One-Way Analysis of Variance with Post-Hoc Comparisons. Factorial Analysis of Variance. General Linear Model (GLM) Multivariate Analysis. General Linear Model: Repeated Measures Analysis. Factor Analysis. Reliability. Multiple Regression. Structural Equation Modeling. Nonparametric Tests. References. Appendix: Summary of SPSS Syntax Files. Index.

Donal O'Regan / National University of Ireland, Galway
Yeol J Cho / Gyeongsang National University, Chinjn, South Korea
Yu-Qing Chen / Foshan University, Guangdong, Peoples Republic of China

Topological Degree Theory and Applications

Series: Mathematical Analysis and Applications Volume: 10

ISBN: 158488648X
Publication Date: 3/27/2006
Number of Pages: 232
Availability: Not Yet Published

Presents a survey of the latest developments in topological degree theory and applications
Includes a degree theory for new monotone maps and A-proper Fredholm maps of indes-zero type
Discusses a new fixed-point index for countably condensing maps
Contains exercises in each chapter

Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses topological degree theory in normed spaces and its applications. It includes discussions on a degree theory for new monotone maps and A-proper Fredholm maps of index-zero type and presents a recently developed fixed point index for countably condensing maps. Applications to ordinary and partial differential equations and evolution equations are presented throughout the book, and each chapter includes exercises suitable for self-study and special topics courses.

Table of Contents

Brouwer Degree Theory. Leray-Schauder Degree Theory. Degree Theory for Set-Contraction Mappings. Generalized Degree Theory for A-Proper Mappings. Coincidence Degree Theory. Degree Theory for Monotone Type Mappings. Fixed Point Index Theory. References. Index.

Hung T Nguyen New Mexico State University, Las Cruces, USA

An Introduction to Random Sets

ISBN: 158488519X
Publication Date: 4/5/2006
Number of Pages: 272
Availability: Not Yet Published

Provides a view of random sets as natural generalizations of probability and statistics on random vectors
Presents random sets at the crossroads of uncertainty modeling and reasoning in information technology
Includes applications from the field of statistics such as analysis of coarse data, optimization, game theory, decision making, and intelligent systems
Uses the Choquet integral to study convergence in distribution of random closed sets via their corresponding capacity functionals

Random sets as models for set-valued observations, are a new type of data proving useful in areas such as survey sampling, biostatistics, and intelligent systems. This is the first text to explore the topic in depth, using extended probability theory to provide a framework and tools for statistical analysis of random sets. With an abundance of examples, it highlights the basic role random sets play in a variety of statistical settings, links their study to fuzzy logic, fully develops the theory, and concludes with a variety of applications. Written by an author of the best-selling A First Course in Fuzzy Logic, this book is rigorous yet readable and fills a significant need for a textbook treatment of the subject.

Table of Contents

Introduction. Finite Random Sets in Survey Sampling. Random Sets in Statistics. Random Sets in Uncertainty Modeling. Theory of Random Closed Sets on Locally Compact Spaces. Integration. Some Applications.

Michael J Daniels / University of Florida, Gainesville, USA
Joseph W Hogan / Brown University, Providence, Rhode Island, USA

Missing Data in Longitudinal Studies:
Dropout, Casual Inference and Sensitivity Analysis

Series: Monographs on Statistics and Applied Probability

ISBN: 1584886099
Publication Date: 7/15/2006
Number of Pages: 416
Availability: Not Yet Published

Provides an overview of methods for analyzing longitudinal studies with missing data, incorporating dropout, causal inference, and sensitivity analysis
Adopts a Bayesian approach and coverage of multivariate methods
Features a large number of examples and case studies throughout to help illustrate the methods described
Includes many applications, particularly to the medical sciences, including genomics
Discusses computation of the methods in WinBUGS and R

This book focuses on how to handle missing data in longitudinal studies, offering specific coverage of models for longitudinal data, missing data mechanisms, and various approaches to sensitivity analysis. It presents an overview of state-of-the-art methods for dealing with missing data, with particular emphasis on handling dropout and causal inference. Many examples, case studies, and applications from the medical sciences support the discussions. The authors use WinBUGS and R to execute the methods and provide datasets and code for download from the Internet. This book stands apart by virtue of the authors' Bayesian approach to inference along with their emphasis on missing data.

Table of Contents

REGRESSION AND INFERENCE: Datasets. Regression Models, Bayesian inference . Data Analysis . MISSING DATA: Missing data mechanisms. Inference under MAR. Model-based inference about full data under missing not at random. Application of missing data methods to problems in causal inference. Sensitivity analysis. Notation. References.

Aderemi Kuku / Miami University, Oxford, Ohio, USA

Representation Theory and Higher Algebraic K-Theory

Series: Pure and Applied Mathematics
ISBN: 158488603X
Publication Date: 7/26/2006
Number of Pages: 500
Availability: Not Yet Published

Serves as a basic reference tool for the algebraic K-theory of group rings
Integrates Lueck's equivariant algebraic K-theory with Quillen algebraic theory
Focuses on computations in representation-theoretic setting
Develops each theory in full generality as an instrument of computation

Representation Theory and Higher Algebraic K-Theory seeks to characterize higher K-theory and makes computations in this area of group rings more accessible. Focusing on computations in representation theoretic setting, this book begins with a treatment of classical algebraic K-theory and then explores more advanced topics of higher algebraic K-theory. It also discusses Mackey functions and equivariant K-theory, integrating Lueck's equivaraint algebraic K-theory with Quillen algebraic theory. This text serves as a basic reference tool for mathematicians specializing in algebraic K-theory as well as graduate students studying in the areas of algebra, topology, and algebraic geometry.

Table of Contents

Classical Algebraic K-Theory and Representation Theory. Higher Algebraic K-Theory and Integral Representations. Mackey Functors and Equivariant Higher Algebraic K-Theory.