Statistics
A Biomedical Introduction
Published on 4. November 2009
480 pages
978-0-470-31718-1 (ISBN)
Description
The Wiley Classics Library consists of selected books that havebecome recognized classics in their respective fields. With thesenew unabridged and inexpensive editions, Wiley hopes to extend thelife of these important works by making them available to futuregenerations of mathematicians and scientists.
Currently available in the Series:
* T. W. Anderson The Statistical Analysis of TimeSeries
* T. S. Arthanari & Yadolah Dodge Mathematical Programmingin Statistics
* Emil Artin Geometric Algebra
* Norman T. J. Bailey The Elements of Stochastic ProcesseswithApplications to the Natural Sciences
* Robert G. Bartle The Elements of Integration and LebesgueMeasure
* George E. P. Box & Norman R. Draper EvolutionaryOperation: A Statistical Method for Process Improvement
* George E. P. Box & George C. Tiao Bayesian Inference inStatistical Analysis
* R. W. Carter Finite Groups of Lie Type: Conjugacy Classesand Complex Characters
* R. W. Carter Simple Groups of Lie Type
* William G. Cochran & Gertrude M. Cox ExperimentalDesigns, Second Edition
* Richard Courant Differential and Integral Calculus, VolumeI
* Richard Courant Differential and Integral Calculus, VolumeII
* Richard Courant & D. Hilbert Methods of MathematicalPhysics, Volume I
* Richard Courant & D. Hilbert Methods of MathematicalPhysics, Volume II
* D. R. Cox Planning of Experiments
* Harold S. M. Coxeter Introduction to Geometry, SecondEdition
* Charles W. Curtis & Irving Reiner Representation Theoryof Finite Groups andAssociative Algebras
* Charles W. Curtis & Irving Reiner Methods ofRepresentation Theory with Applications to Finite Groups andOrders, Volume I
* Charles W. Curtis & Irving Reiner Methods ofRepresentation Theory with Applications to Finite Groups andOrders, Volume II
* Cuthbert Daniel & Fred S. Wood Fitting Equations toData: Computer Analysis of Multifactor Data, SecondEdition
* Bruno de Finetti Theory of Probability, Volume I
* Bruno de Finetti Theory of Probability, Volume II
* Morris H. DeGroot Optimal Statistical Decisions
* W. Edwards Deming Sample Design in BusinessResearch
* Amos de Shalit & Herman Feshbach Theoretical NuclearPhysics, Volume 1--Nuclear Structure
* Harold F. Dodge & Harry G. Romig Sampling InspectionTables: Single and Double Sampling
* J. L. Doob Stochastic Processes
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Byron Wm. Brown | Myles Hollander
Statistics - A Biomedical Introduction
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Persons
BYRON WILLIAM BROWN JR., PhD, was a professor in and former chair of the Department of Health Policy and Research at Stanford University. For over 30 years, he made significant contributions to the university's research and teachings on various areas of study such as cancer treatment and the design of clinical trials. Dr. Brown is now deceased.
MYLES HOLLANDER, PhD, is Robert O. Lawton Distinguished Professor of Statistics at Florida State University in Tallahassee. He served as editor of the Theory and Methods Section of the Journal of the American Statistical Association from 1993-96.
Content
CHAPTER 1: Introduction 1
CHAPTER 2: Elementary Rules of Probability 13
CHAPTER 3: Populations, Samples, and the Distribution of the Sample Mean 37
1. Populations and Distributions 38
2. Sampling from Finite Populations 64
3. The Distribution of the Sample Mean 72
CHAPTER 4: Analysis of Matched Pairs Using Sample Means 85
1. A Confidence Interval for the Treatment Effect 86
2. A Hypothesis Test for the Treatment Effect 96
3. Determining the Sample Size 102
CHAPTER 5: Analysis of the Two-Sample Location Problem Using Sample Means 109
1. A Confidence Interval for the Difference Between the Population Means 110
2. A Hypothesis Test for the Difference Between the Population Means 116
3. Determining Sample Sizes 119
4. Testing the Assumption of Equal Population Variances 122
CHAPTER 6: Surveys and Experiments in Medical Research 131
Application of Statistics in Laboratory and Clinical Studies 131
Randomized Clinical Experiments 134
Ethics and Statistical Aspects of the Clinical Trial 137
Retrospective Studies, Prospective Studies, and Randomized Clinical Experiments 140
CHAPTER 7: Statistical Inference for Dichotomous Variables 149
A Confidence Interval for a Success Probability p 150
Hypothesis Tests for a Success Probability p 156
CHAPTER 8: Comparing Two Success Probabilities 173
A Confidence Interval for the Difference Between the Success Probabilities 174
A Hypothesis Test for the Difference Between the Success probabilities 178
CHAPTER 9: Chi-Squared Tests 195
The Chi-Squared Test for k Probabilities (Goodness of Fit) 196
r x k Tables: Chi-Squared Tests of Homogeneity and Independence 201
A Test for Trend in Proportions 211
CHAPTER 10: Analysis of & Sample Problems 225
The Completely Randomized Experiment 226
The Randomized Blocks Experiment 241
CHAPTER 11: Linear Regression and Correlation 261
1. Linear Regression 262
2. Correlation 281
3. Rank Correlation 292
CHAPTER 12: Analysis of Matched Pairs Using Ranks 309
1. The Wilcoxon Signed Rank Test 310
2. A Nonparametric Confidence Interval Based on the Signed Rank Test 317
CHAPTER 13: Analysis of the Two-Sample Location Problem Using Ranks 327
1. The Wilcoxon Two-Sample Rank Sum Test 328
2. A Nonparametric Confidence Interval Based on the Rank Sum Test 333
CHAPTER 14: Methods for Censored Data 341
APPENDIX A: Glossary 361
APPENDIX B: Answers to Selected Questions and Solutions to Selected Problems 375
APPENDIX C: Mathematical and Statistical Tables 407
INDEX 451
