skip navigation

PUBLICATIONS

Register for Latest Research

Stay Informed
Register with NCJRS to receive NCJRS's biweekly e-newsletter JUSTINFO and additional periodic emails from NCJRS and the NCJRS federal sponsors that highlight the latest research published or sponsored by the Office of Justice Programs.

NCJRS Abstract

The document referenced below is part of the NCJRS Virtual Library collection. To conduct further searches of the collection, visit the Virtual Library. See the Obtain Documents page for direction on how to access resources online, via mail, through interlibrary loans, or in a local library.

 

NCJ Number: 68078 Find in a Library
Title: SYSTEM OF PAIRED ASYMMETRIC MEASURES OF ASSOCIATION FOR USE WITH ORDINAL DEPENDENT VARIABLES
Journal: SOCIAL FORCES  Volume:58  Issue:4  Dated:(JUNE 1980)  Pages:1178-1194
Author(s): K S CRITTENDEN; A C MONTGOMERY
Date Published: 1980
Page Count: 17
Format: Article
Language: English
Country: United States of America
Annotation: THIS PAPER DISCUSSES A FRAMEWORK FOR CLASSIFYING PROPORTIONATE REDUCTION IN ERROR MEASURES DESCRIBING THE RELATIONSHIP BETWEEN NOMINAL OR ORDINAL INDEPENDENT VARIABLES AND AN ORDINAL DEPENDENT VARIABLE.
Abstract: MANY VARIABLES OF INTEREST TO SOCIOLOGISTS ARE MEASURED ORDINALLY. IN ADDITION TO HAVING THE SYMMETRICAL PROPERTIES OF THE NOMINAL SCALE, AN ORDINAL SCALE IS ASYMMETRICAL IN THE SENSE THAT CERTAIN SPECIAL RELATIONSHIPS MAY HOLD BETWEEN A AND B WHICH DO NOT HOLD FOR B AND A. AN ORDINAL LEVEL OF MEASUREMENT DOES NOT SUPPLY ANY INFORMATION ABOUT THE MAGNITUDE OF THE DIFFERENCES BETWEEN ELEMENTS. WE KNOW ONLY THAT A IS GREATER THAN B, BUT WE CANNOT SAY HOW MUCH GREATER. DEVELOPMENTS IN ECONOMETRICS AND LOG-LINEAR ANALYSIS HAVE MADE POWERFUL STATISTICAL TECHNIQUES AVAILABLE FOR THE ANALYSIS OF CAUSAL RELATIONS AMONG INTERVAL AND NOMINAL VARIABLES, YET THESE TECHNIQUES ARE NOT ADAPTED TO THE REQUIREMENTS OF ORDINAL VARIABLES. THERE IS A NEED FOR MEASURES OF ASSOCIATION SUITABLE FOR TESTING AND GENERATING ASYMMETRIC CAUSAL THEORETICAL STATEMENTS. THE ARTICLE EXAMINES SEVERAL MEASURES OF ASSOCIATION SUITABLE FOR USE WITH ORDINAL VARIABLES. MEASURES DISCUSSED INCLUDE GAMMA, SOMERS ASYMMETRIC MEASURE OF ASSOCIATION, AND FREEMAN'S COEFFICIENT OF DIFFERENTIATION, THETA. A CLASSIFICATION OF ASYMMETRIC, PROPORTIONATE REDUCTION IN ERROR MEASURES IS DEVELOPED, DESCRIBING RELATIONSHIPS BETWEEN NOMINAL OR ORDINAL INDEPENDENT VARIABLES AND ORDINAL DEPENDENT VARIABLES UNDER THREE METHODS FOR ESTIMATING PREDICTIVE ERROR. IMPLICATIONS OF THE USE OF PAIRED NOMINAL-ORDINAL AND ORDINAL-ORDINAL MEASURES OF ASSOCIATION ARE EXPLORED. TABLES ILLUSTRATING THE PROBLEMS OF ORDINAL ASSOCIATION, REFERENCES, AND AN APPENDIX ON DERIVATION OF ERROR TERMS ARE PROVIDED. (EMG)
Index Term(s): Evaluation; Research design; Research methods; Testing and measurement
Note: THIS IS A REVISED VERSION OF A PAPER PRESENTED AT THE 1978 MEETING OF THE MIDWEST SOCIOLOGICAL SOCIETY
To cite this abstract, use the following link:
http://www.ncjrs.gov/App/publications/abstract.aspx?ID=68078

*A link to the full-text document is provided whenever possible. For documents not available online, a link to the publisher's website is provided. Tell us how you use the NCJRS Library and Abstracts Database - send us your feedback.