Statistics

The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W. Anderson The Statistical Analysis of Time Series T. S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processeswith Applications to the Natural Sciences Robert G. Bartle The Elements of Integration and Lebesgue Measure George E. P. Box & Norman R. Draper Evolutionary Operation: A Statistical Method for Process Improvement George E. P. Box & George C. Tiao Bayesian Inference in Statistical Analysis R. W. Carter Finite Groups of Lie Type: Conjugacy Classes and Complex Characters R. W. Carter Simple Groups of Lie Type William G. Cochran & Gertrude M. Cox Experimental Designs, Second Edition Richard Courant Differential and Integral Calculus, Volume I Richard Courant Differential and Integral Calculus, Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume II D. R. Cox Planning of Experiments Harold S. M. Coxeter Introduction to Geometry, Second Edition Charles W. Curtis & Irving Reiner Representation Theory of Finite Groups andAssociative Algebras Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume I Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume II Cuthbert Daniel & Fred S. Wood Fitting Equations to Data: Computer Analysis of Multifactor Data, Second Edition 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 Business Research Amos de Shalit & Herman Feshbach Theoretical Nuclear Physics, Volume 1 Nuclear Structure Harold F. Dodge & Harry G. Romig Sampling Inspection Tables: Single and Double Sampling J. L. Doob Stochastic Processes

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

CHAPTER 1: Introduction 1CHAPTER 2: Elementary Rules of Probability 13CHAPTER 3: Populations, Samples, and the Distribution of the Sample Mean 371. Populations and Distributions 382. Sampling from Finite Populations 643. The Distribution of the Sample Mean 72CHAPTER 4: Analysis of Matched Pairs Using Sample Means 851. A Confidence Interval for the Treatment Effect 862. A Hypothesis Test for the Treatment Effect 963. Determining the Sample Size 102CHAPTER 5: Analysis of the Two-Sample Location Problem Using Sample Means 1091. A Confidence Interval for the Difference Between the Population Means 1102. A Hypothesis Test for the Difference Between the Population Means 1163. Determining Sample Sizes 1194. Testing the Assumption of Equal Population Variances 122CHAPTER 6: Surveys and Experiments in Medical Research 131Application of Statistics in Laboratory and Clinical Studies 131Randomized Clinical Experiments 134Ethics and Statistical Aspects of the Clinical Trial 137Retrospective Studies, Prospective Studies, and Randomized Clinical Experiments 140CHAPTER 7: Statistical Inference for Dichotomous Variables 149A Confidence Interval for a Success Probability p 150Hypothesis Tests for a Success Probability p 156CHAPTER 8: Comparing Two Success Probabilities 173A Confidence Interval for the Difference Between the Success Probabilities 174A Hypothesis Test for the Difference Between the Success probabilities 178CHAPTER 9: Chi-Squared Tests 195The Chi-Squared Test for k Probabilities (Goodness of Fit) 196r x k Tables: Chi-Squared Tests of Homogeneity and Independence 201A Test for Trend in Proportions 211CHAPTER 10: Analysis of & Sample Problems 225The Completely Randomized Experiment 226The Randomized Blocks Experiment 241CHAPTER 11: Linear Regression and Correlation 2611. Linear Regression 2622. Correlation 2813. Rank Correlation 292CHAPTER 12: Analysis of Matched Pairs Using Ranks 3091. The Wilcoxon Signed Rank Test 3102. A Nonparametric Confidence Interval Based on the Signed Rank Test 317CHAPTER 13: Analysis of the Two-Sample Location Problem Using Ranks 3271. The Wilcoxon Two-Sample Rank Sum Test 3282. A Nonparametric Confidence Interval Based on the Rank Sum Test 333CHAPTER 14: Methods for Censored Data 341APPENDIX A: Glossary 361APPENDIX B: Answers to Selected Questions and Solutions to Selected Problems 375APPENDIX C: Mathematical and Statistical Tables 407INDEX 451