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ERIC Number: EJ723305
Record Type: Journal
Publication Date: 2006
Pages: 13
Abstractor: Author
Reference Count: 27
ISBN: N/A
ISSN: ISSN-0146-6216
Reliability of Total Test Scores When Considered as Ordinal Measurements
Biswas, Ajoy Kumar
Applied Psychological Measurement, v30 n1 p43-55 2006
This article studies the ordinal reliability of (total) test scores. This study is based on a classical-type linear model of observed score (X), true score (T), and random error (E). Based on the idea of Kendall's tau-a coefficient, a measure of ordinal reliability for small-examinee populations is developed. This measure is extended to large (theoretically, infinite) examinee populations. This extended measure is identified as the population version of Kendall's tau-a. Appropriateness of the traditional product moment correlation-based measures, [TX] and .XX0, is reviewed. It is observed that [TX] and .XX0 are appropriate within the family of normal distributions of (T, E) but are inappropriate in the family of nonnormal distributions. A simulated data example is considered to show that the traditional product moment correlation-based measures may be misleading. Furthermore, practical procedures are suggested for estimating ordinal reliability. Real test score data are used for demonstration.
SAGE Publications, 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243 (Toll Free); Fax: 800-583-2665 (Toll Free).
Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A