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ERIC Number: EJ879626
Record Type: Journal
Publication Date: 2009
Pages: 28
Abstractor: As Provided
Reference Count: 33
ISSN: ISSN-1076-9986
A Nonparametric Framework for Comparing Trends and Gaps across Tests
Ho, Andrew Dean
Journal of Educational and Behavioral Statistics, v34 n2 p201-228 2009
Problems of scale typically arise when comparing test score trends, gaps, and gap trends across different tests. To overcome some of these difficulties, test score distributions on the same score scale can be represented by nonparametric graphs or statistics that are invariant under monotone scale transformations. This article motivates and then develops a framework for the comparison of these nonparametric trend, gap, and gap trend representations across tests. The connections between this framework and other nonparametric tools, including probability-probability (PP) plots, the Mann-Whitney U test, and the statistic known as P(Y greater than X), are highlighted. The author describes the advantages of this framework over scale-dependent trend and gap statistics and demonstrates applications of these nonparametric methods to frequently asked policy questions. (Contains 7 figures.)
SAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Elementary Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Assessments and Surveys: National Assessment of Educational Progress