Table Of Content

WILEY SERIES IN PROBABILITY AND MATHEMATICAL STATISTICS ESTABLISHED BY WALTER A. ShEWHART AND SAMUEL S. WiLKS Editors Ralph A. Bradley David G. Kendall J. Stuart Hunter GeoffreyS. Watson Probability andMathematicalStatistics ANDERSON • The Statistical Analysis ofTime Series ANDERSON • An Introduction to MultivariateStatistical Analysis BARLOW, BARTHOLOMEW, BREMNER, and BRUNK • Statisti- cal Inference Under Order Restrictions DE FINETTI • Probability, Induction and Statistics DOOB • Stochastic Processes FELLER • An Introduction to Probability Theory and Its Applications, Volume I, ThirdEdition, Revised FELLER • An Introduction to Probability Theory and Its Applica- tions, Volume II, SecondEdition FISZ • Probability Th—eory and Mathematical Statistics, ThirdEdition FRASER • Statistics An Introduction EHRAANSNEARN• The Structure ofInference HANSEN, •HMUuRltWiIplTeZT,imaendSerMieAsDOW Sample Survey Methods and • Theory, Volumes I and II HOEL • Introduction to Mathematical Statistics, Fourth Edition KEMPTHORNE • The Design and Analysis of Experiments LARSON • Introduction to Probability Theory and Statistical Inference LARSON • Introduction to the Theory of Statistics LEHMANN • Testing Statistical Hypotheses PARZEN • Modern Probability Theory and Its Applications PURI and SEN • Nonparametric Methods in Multivariate Analysis RAGHAVARAO • Constructions and Combinatorial Problems in De- sign ofExperiments RAO • Linear Statistical Inference and Its Applications,5e'co/j^£;c//7/o/i RIORDAN • An Introduction to Combinatorial Analysis SCHEFFE • The Analysis ofVariance WILKS • Collected Papers: Contributions to Mathematical Statistics WILKS • Mathematical Statistics ZACKS • The Theory ofStatistical Inference AppliedProbability andStatistics BAILEY • The Elements of Stochastic Processes with Applications to the Natural Sciences BARTHOLOMEW • Stochastic Models for Social Processes BENNETTand FRANKLIN • Statistical Analysis in Chemistry and the Chemical Industry BHAT • Elements ofApplied Stochastic Processes BOX and DRAPER • Evolutionary Operation: A Statistical Methodfor Process Improvement BROWNLEE • Statistical Theory and Methodology in Science and Engineering, SecondEdition AppliedProbability andStatistics (Continued) CHAKRAVARTI, LAHA and ROY • Handbook of Methods of Applied Statistics, Vol. I CHAKRAVARTI, LAHA and ROY Handbook of Methods of • Applied Statistics, Vol. II CHERNOFF and MOSES Elementary Decision Theory • CCLHEILALNAGND• I,ntrdoedCucAtNiIo,n tBoRStOoWchNas,ticBPUrRocSeKs,sesainndBiMostUatRisRtiAcsY Basic • Statistics with Business Applications COCHRAN Sampling Techniques, SecondEdition • COCHRAN and COX Experimental Designs, SecondEdition • COX Planning ofExperiments • DCAONXIaEnLdaMnIdLWLOEROD• Th•eFitTthienogrEyquoaftSitooncshatsotiDcaPtraocesses DAVID • Order Statistics DEMING • Sample Design in Business Research DODGE and ROMIG • Sampling Inspection Tables, SecondEdition DRAPER and SMITH Applied Regression Analysis • ELANDT-JOHNSON • Probability Models and Statistical Methods in Genetics FLEISS • Statistical Methods for Rates and Proportions GOLDBERGER Econometric Theory • GUTTMAN, WILKS and HUNTER • Introductory Engineering Statis- tics, SecondEdition HAHN and SHAPIRO • Statistical Models in Engineering HALD • Statistical Tables and Formulas HALD • Statistical Theory with Engineering Applications HOEL • Elementary Statistics, ThirdEdition HOLLANDER and WOLFE • Nonparametric Statistical Methods HUANG • Regression and Econometric Methods JOHNSON and KOTZ • Distributions in Statistics Discrete Distributions Continuous Univariate Distributions-1 Continuous Univariate Distributions-2 Continuous Multivariate Distributions JOHNSON and LEONE • Statistics and Experimental Design: In Engi- neering and the Physical Sciences, Volumes I and II LANCASTER • The Chi Squared Distribution LEWIS • Stochastic Point Processes MILTON • Rank Order Probabilities: Two-Sample Normal Shift Alternatives RAO and MITRA • Generalized Inverse of Matrices and Its Appli- cations SARD and WEINTRAUB • A Book ofSpHnes SARHAN and GREENBERG • Contributions to Order Statistics SEAL • Stochastic Theory ofa Risk Business SEARLE • Linear Models THOMAS • An Introduction to Applied Probability and Random Processes continuedon back Nonparametric Statistical Methods A WILEY PUBLICATION IN APPLIED STATISTICS Nonparametric Statistical Methods MYLES HOLLANDER The Florida State University DOUGLAS WOLFE A. The Ohio State University JOHN WILEY & SONS New York London Sydney Toronto . . . Copyright © 1973, byJohn Wiley & Sons, Inc. All rights reserved. Published simultaneously in Canada. No part ofthis book may be reproduced by any means, nor transmitted, nor translated into a machine language with- out the written permission ofthe publisher. Library of Congress Cataloging in Publication Data: Hollander, Myles. Nonparametric statistical methods. (Wiley series in probability and mathematical statistics) (A Wiley publication in applied statistics) "AWiley-Interscience publication." Bibliography: p. 1. Nonparametric statistics. I.Wolfe, Douglas A.,joint author. II. Title. w^ QA278.8.H65 519.5'3 72-11960 ISBN 0-471-40635-X Printed in the United States ofAmerica 987654321 10 To the Memory of Dr. Frank Wilcoxon Digitized by the Internet Archive 2010 in http://www.archive.org/details/nonparametricstaOOholl