James E. De Muth, School of Pharmacy, University of Wisconsin Madison
Basic Statistics and Pharmaceutical Statistical Applications
series: Biostatistics volume: 2
06/18/1999
Hardcover, 624 Pages, Illustrated
ISBN: 0-8247-1967-0
description:
This extremely pragmatic and accessible reference provides scientists with a basic knowledge of statistics?focusing on the practical applications of statistical methods to research, quality control, and data analysis.
Utilizes statistics for essential applications to therapeutics, research design, basic data analysis, biostatistics, and clinical pharmacokinetics!
Basic Statistics and Pharmaceutical Statistical Applications
explores types of variables, random sampling, probability, measures of central tendency, and hypothesis (or significance) testing covers the use of statistical tests for correctly interpreting research results
discusses regression analysis, nonparametric tests, and power determination examines study designs, confidence intervals, dissolution testing, and bioequivalence describes the interrelation of hypotheses, test statistics, decision rules, computations, and statistical decisions demonstrates the most effective modes of data presentation, including graphics and tables addresses testing factors such as precision, accuracy, bias, sensitivity, and selectivity explains how to select the best statistical test suited for particular data
reviews widespread statistical inaccuracies and errors found in refereed medical and pharmaceutical journals
and more!
Featuring almost 500 equations, tables, drawings, and references, Basic Statistics and Pharmaceutical Statistical Applications is required reading for pharmacists, analytical chemists, clinical trial monitors, medical writers, and upper-level undergraduate and graduate students in these disciplines.
contents:
Introduction
Probability
Sampling
Presentation Modes
Measures of Central Tendency
The Normal Distribution and Confidence Interval
Hypothesis Testing
t-Tests
One-way Analysis of Variance (ANOVA)
Post Hoc Procedures
Factorial Designs: An Introduction
Correlation
Linear Regression
z-tests of Proportions
Chi Square Tests
Higher Order Tests for Discrete Variables
Nonparametric Tests
Statistical Tests for Bioequivalence
Outlier Tests
Statistical Errors in the Literature
Appendix A: Flow Charts for the Selection of Appropriate Tests
Appendix B: Statistical Tables
Edited by: Darlene K. Stangl, Duke University, Durham, North Carolina,
and Donald A. Berry, Duke University, Durham, North Carolina
Meta-Analysis in Medicine and Health Policy
series: Biostatistics volume: 4
04/20/2000
Hardcover, 414 Pages, Illustrated
ISBN: 0-8247-9030-8
description:
Employs copious examples and pictorial presentations to teach and reinforce biostatistical techniques more effectively!
This remarkable reference/text raises the analysis of data in health sciences and health policy to new heights of refinement and applicability?introducing cutting-edge meta-analysis strategies while reviewing more commonly used techniques. Each chapter builds on sound principles, develops methodologies to solve statistical problems, and presents concrete applications used by experienced medical practitioners and health policymakers.
Poses numerous open questions of medical and health policy research suitable for graduate projects and dissertations.
Written by more than 30 celebrated international experts, Meta-Analysis in Medicine and Health Policy
examines pharmacokinetic models, survival models, methods of improving adjustments for publication bias, group judgments, and up-to-date statistical computer software highlights Bayesian methods and graphical, fixed, random, and mixed-effect models clarifies the use of study-level covariates demonstrates how to synthesize research results when outcomes vary among studies introduces a unified modeling approach for communicating results and more!
Containing over 800 references, tables, equations, and drawings, Meta-Analysis in Medicine and Health Policy is an indispensable reference for
applied statisticians, biostatisticians, pharmacists, and epidemiologists and public health officials, and a versatile text for upper-level undergraduate and
graduate students in these disciplines.
contents:
Meta-Analysis: Past and Present Challenges
Dalene K. Stangl and Donald A. Berry
Meta-Analysis of Heterogeneously Reported Study Results: A Bayesian Approach
Keith R. Abrams, Paul C. Lambert, Bruno SansE and Chris Shaw
Meta-Analysis versus Large Trials: Resolving the Controversy
Scott M. Berry
A Bayesian Meta-Analysis of Randomized Mega-Trials for the Choice of Thrombolytic Agents in Acute Myocardial Infarction
James Brophy and Lawrence Joseph
Combining Studies with Continuous and Dichotomous Responses: A Latent-Variables Approach
Francesca Dominici and Giovanni Parmigiani
Computer-Modeling and Graphical Strategies for Meta-analysis
William DuMouchel and Sharon-Lise Normand
Meta-Analysis for 2 x 2 Tables with Multiple Treatment Groups
Leon J. Gleser and Ingram Olkin
A Bayesian Meta-Analysis of the Relationship between Duration of Estrogen Exposure and Occurrence of Endometrial Cancer
Daniel T. Larose
Modeling and Implementation Issues in Bayesian Meta-Analysis
Donna K. Pauler and Jon Wakefield
Meta-Analysis of Population Pharmacokinetic Data
Nargis Rahman and Jon Wakefield
Meta-Analysis of Individual-patient Survival Data Using Random-Effect Models
Daniel J. Sargent, Benny C. Zee, Chantal Milan, Valter Torri, and Guido Francini
Adjustment for Publication Bias and Quality Bias in Bayesian Meta-Analysis
David D. Smith, Geof H. Givens, and Richard L. Tweedie
Meta-Analysis of Clinical Trials: Opportunities and Limitations
Richard Simon
Research Synthesis for Public Health Policy: Experience of the Institute of Medicine
Michael A. Stoto
Meta-Analysis in Practice: A Critical Review of Available Software
Alexander J. Sutton, Paul C. Lambert, Martin A. G. Hellmich, Keith R. Abrams, and David R. Jones
Ivar Ekeland and Roger Temam
Convex Analysis and Variational Problems
Classics in Applied Mathematics 28
No one working in duality should be without a copy of Convex Analysis and Variational Problems. This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial
differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references.
Audience
Practitioners of duality in such fields as mathematical economy, nonlinear programming, continuum mechanics (solids and fluids), mixed finite elements, and control theory will find this text indispensable. Analysts interested in partial differential equations will also find it useful.
Contents
Preface to the Classics Edition; Preface; Part One: Fundamentals of Convex Analysis. Chapter I: Convex Functions; Chapter II: Minimization of Convex Functions and Variational Inequalities; Chapter III: Duality in Convex Optimization; Part Two: Duality and Convex Variational Problems. Chapter IV: Applications of Duality to the Calculus of Variations (I); Chapter V: Applications of Duality to the Calculus of Variations (II); Chapter VI: Duality by the Minimax Theorem; Chapter VII: Other Applications of Duality; Part Three: Relaxation and
Non-Convex Variational Problems. Chapter VIII: Existence of Solutions for Variational Problems; Chapter IX: Relaxation of Non-Convex Variational Problems (I); Chapter X: Relaxation of Non-Convex Variational Problems (II); Appendix I: An a priori Estimate in Non-Convex Programming; Appendix II: Non-Convex Optimization Problems Depending on a Parameter; Comments; Bibliography; Index.
1999 / xiv + 402 pages / Softcover / ISBN 0-89871-450-8
Patrick J. Rabier and Werner C. Rheinboldt
Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint
This book contains a unique description of the nonholonomic motion of systems of rigid bodies by differential algebraic systems. Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint focuses on rigid body systems subjected to kinematic constraints (constraints that depend on the velocities of the bodies, e.g., as they arise for nonholonomic motions) and discusses in detail how the equations of motion are
developed. The authors show that such motions can be modeled in terms of differential algebraic equations (DAEs), provided only that the correct variables are introduced.
Several issues are investigated in depth to provide a sound and complete justification of the DAE model. These issues include the development of a generalized Gauss principle of least constraint, a study of the effect of the failure of an important full-rank condition, and a precise characterization of the state spaces. In particular, when the mentioned full-rank condition is not satisfied, this book shows how a new set of
equivalent constraints can be constructed in a completely intrinsic way, where, in general, these new constraints comply with the full-rank requirement.
Several equivalent DAE formulations are discussed and analyzed thoroughly. The value of these DAE models rests upon the premise that they are more accessible than others to an effective numerical treatment. To substantiate this, a numerical algorithm is presented and numerical results for several standard problems are included to demonstrate the efficiency of this approach.
Audience
Mechanical engineers and robotics engineers will find this book valuable. Readers should be familiar with the concepts and main results of submanifolds of finite-dimensional spaces and their tangent bundles.
Contents
Preface; Chapter 1: Introduction; Chapter 2: The Gauss Principle for Mass Points; Chapter 3: The Configuration Space of a Rigid Body; Chapter 4: Unconstrained Rigid Bodies; Chapter 5: Constrained Rigid Bodies; Chapter 6: DAE Formulation in Linear Spaces; Chapter 7: DAE Formulation on Manifolds; Chapter 8: Computational Methods; Chapter 9: Computational Examples; Appendix: Submanifolds; References; Index.
2000 / viii + 140 pages / Softcover / ISBN 0-89871-446-X
Greiner, W., University of Frankfurt/Main, Germany
Relativistic Quantum Mechanics. Wave Equations
3rd ed. 2000. XIX, 424 pp. 62 figs., with 89 Worked Examples and Problems.
3-540-67457-8
Relativistic Quantum Mechanics - Wave Equations concentrates mainly on the wave equations for spin-0
and spin-1/2 particles. The first chapter deals with the Klein-Gordon equation and its properties and
applications. The chapters that follow introduce the Dirac equation, investigate its covariance properties,
and present various approaches to obtaining solutions. Numerous applications are discussed in detail,
including the two-centre Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic
symmetry principles. Relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and
Bargmann-Wigner) are also presented. The extensive presentation of the mathematical tools and the 62
worked examples and problems make this a unique text for an advanced quantum mechanics course.
This third edition has been slightly revised to bring the text up-to-date.
Keywords: Quantum Mechanics