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van der Ark, L. Andries; Croon, Marcel A.; Sijtsma, Klaas – Psychometrika, 2008
Scalability coefficients play an important role in Mokken scale analysis. For a set of items, scalability coefficients have been defined for each pair of items, for each individual item, and for the entire scale. Hypothesis testing with respect to these scalability coefficients has not been fully developed. This study introduces marginal modelling…
Descriptors: Hypothesis Testing, Item Response Theory, Error of Measurement, Scaling

Feldt, Leonard S. – Psychometrika, 1980
Procedures are developed for testing the hypothesis that Cronbach's alpha reliability coefficient is equal for two tests given to the same subjects. (Author/JKS)
Descriptors: Error of Measurement, Hypothesis Testing, Measurement, Statistical Significance

Raaijmakers, Jeroen G. W.; Pieters, Jo P. M. – Psychometrika, 1987
Functional and structural relationship alternatives to the standard "F"-test for analysis of covariance (ANCOVA) are discussed for cases when the covariate is measured with error. An approximate statistical test based on the functional relationship approach is preferred on the basis of Monte Carlo simulation results. (SLD)
Descriptors: Analysis of Covariance, Computer Simulation, Error of Measurement, Hypothesis Testing