Journal of American Statistical Association
Use of Ranks in One-Criterion Variance Analysis
Author(s): William H. Kruskal and W. Allen Wallis
Source: Journal of the American Statistical Association, Vol. 47, No. 260 (Dec., 1952), pp. 583-621
Published by: Taylor & Francis, Ltd. on behalf of the American Statistical Association
Stable URL: http://www.jstor.org/stable/2280779
Accessed: 05-03-2015 13:33 UTC
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JOURNAL OF THE AMERICAN
STATISTICAL
ASSOCIATION
Number260
DECEMBER
1952
Volume47
USE OF RANKS IN ONE-CRITERION VARIANCE
ANALYSIS
WILLIAM H. KRUSKAL AND W. ALLEN WALLIS
University of Chicago
1. INTRODUCTION
.................................................
1.1 Problem
......................
............................
1.2 Usual Solution .............................................
1.3 Advantages of Ranks
.......................
1.4 The H Test
...........................
2. EXAMPLES.....................................................
2.1 Without Ties
..........................
2.2 With Ties .................................................
3.
4.
JUSTIFICATION
OF THE
3.1 Two samples
METHOD
..
3.2
3.3
3.1.1 Continuity adjustment ...............................
3.1.2 Ties
Author(s): William H. Kruskal and W. Allen Wallis
Source: Journal of the American Statistical Association, Vol. 47, No. 260 (Dec., 1952), pp. 583-621
Published by: Taylor & Francis, Ltd. on behalf of the American Statistical Association
Stable URL: http://www.jstor.org/stable/2280779
Accessed: 05-03-2015 13:33 UTC
Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship.
For more information about JSTOR, please contact support@jstor.org.
Taylor & Francis, Ltd. and American Statistical Association are collaborating with JSTOR to digitize, preserve and extend access to Journal of the American Statistical Association.
http://www.jstor.org
This content downloaded from 137.132.123.69 on Thu, 05 Mar 2015 13:33:35 UTC
All use subject to JSTOR Terms and Conditions
JOURNAL OF THE AMERICAN
STATISTICAL
ASSOCIATION
Number260
DECEMBER
1952
Volume47
USE OF RANKS IN ONE-CRITERION VARIANCE
ANALYSIS
WILLIAM H. KRUSKAL AND W. ALLEN WALLIS
University of Chicago
1. INTRODUCTION
.................................................
1.1 Problem
......................
............................
1.2 Usual Solution .............................................
1.3 Advantages of Ranks
.......................
1.4 The H Test
...........................
2. EXAMPLES.....................................................
2.1 Without Ties
..........................
2.2 With Ties .................................................
3.
4.
JUSTIFICATION
OF THE
3.1 Two samples
METHOD
..
3.2
3.3
3.1.1 Continuity adjustment ...............................
3.1.2 Ties
References: 5.3.4. Haldane and Smith (1948).20Haldane and Smith [14] developed the Wilcoxontest independentlyin connectionwiththe problem of decidingwhetherthe probabilityof a hereditarytraitappearingin a