Publication:
Min and max scorings for two-sample ordinal data

Loading...
Thumbnail Image
Authors
Kimeldorf, George
Sampson, Allan R.
Whitaker, Lyn R.
Subjects
Cochran-Armitage procedure
Isotonic regression
Monotone scales
Ordinal data
Scoring
t test
two-sample problem
Advisors
Date of Issue
1992-03
Date
Publisher
Language
Abstract
To analyze two-sample ordinal data, one must often assign some increasing numerical scores to the ordinal categories. The choice of appropriate scores in these types of analyses is often problematic. This article presents a new approach for reporting the results of such analyses. Using techniques of order-restricted inference, we obtain the minimum and maximum of standard two-sample test statistics over all possible assignments of increasing scores. If the range of the min and max values does not include the critical value for the test statistics, then we can immediately conclude that the result of the analysis remains the same no matter what choice of increasing scores is used. On the other hand, if the range includes a critical value, the choice of scores used in the analysis must be carefully justified. Numerous examples are given to clarify our approach.
Type
Article
Description
Journal of the American Statistical Association, March 1992, Vol. 87, No. 417, Theory and Methods
Series/Report No
Department
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Collections