Min and Max Scorings for Two-Sample Ordinal Data
作者:
George Kimeldorf,
AllanR. Sampson,
LynR. Whitaker,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1992)
卷期:
Volume 87,
issue 417
页码: 241-247
ISSN:0162-1459
年代: 1992
DOI:10.1080/01621459.1992.10475198
出版商: Taylor & Francis Group
关键词: Cochran-Armitage procedure;Isotonic regression;Monotone scales;Ordinal data;Scoring;t test;Two-sample problem
数据来源: Taylor
摘要:
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 overall 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.
点击下载:
PDF (733KB)
返 回