Correlation and Prediction in Ordinal Test Theory
- 1 September 1976
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 41 (3) , 329-340
- https://doi.org/10.1007/bf02293558
Abstract
Based on the test theory model for ordinal measurements proposed by Schulman and Haden, the present paper considers correlations between tests, attenuation, regressions involving true and observed scores, and prediction of test reliability.The population correlation between tests is shown to be related to the expected sample correlation for samples of size n1 and n2. Errors of estimation, measurement and prediction are found to be similar to their counterparts in interval test theory, while attenuation is identical to its counterpart. The bias in estimating population reliability from sample data is compared for Kendall's tau and Spearman's rho.Keywords
This publication has 2 references indexed in Scilit:
- A Test Theory Model for Ordinal MeasurementsPsychometrika, 1975
- Inversions and Rank Correlation CoefficientsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1951