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Culpepper, Steven Andrew – Applied Psychological Measurement, 2013
A classic topic in the fields of psychometrics and measurement has been the impact of the number of scale categories on test score reliability. This study builds on previous research by further articulating the relationship between item response theory (IRT) and classical test theory (CTT). Equations are presented for comparing the reliability and…
Descriptors: Item Response Theory, Reliability, Scores, Error of Measurement
Andrich, David; Humphry, Stephen M.; Marais, Ida – Applied Psychological Measurement, 2012
Models of modern test theory imply statistical independence among responses, generally referred to as "local independence." One violation of local independence occurs when the response to one item governs the response to a subsequent item. Expanding on a formulation of this kind of violation as a process in the dichotomous Rasch model,…
Descriptors: Test Theory, Models, Item Response Theory, Evidence
Beauducel, Andre – Applied Psychological Measurement, 2013
The problem of factor score indeterminacy implies that the factor and the error scores cannot be completely disentangled in the factor model. It is therefore proposed to compute Harman's factor score predictor that contains an additive combination of factor and error variance. This additive combination is discussed in the framework of classical…
Descriptors: Factor Analysis, Predictor Variables, Reliability, Error of Measurement
Almehrizi, Rashid S. – Applied Psychological Measurement, 2013
The majority of large-scale assessments develop various score scales that are either linear or nonlinear transformations of raw scores for better interpretations and uses of assessment results. The current formula for coefficient alpha (a; the commonly used reliability coefficient) only provides internal consistency reliability estimates of raw…
Descriptors: Raw Scores, Scaling, Reliability, Computation
Andrich, David; Kreiner, Svend – Applied Psychological Measurement, 2010
Models of modern test theory imply statistical independence among responses, generally referred to as "local independence." One violation of local independence occurs when the response to one item governs the response to a subsequent item. Expanding on a formulation of this kind of violation as a process in the dichotomous Rasch model,…
Descriptors: Test Theory, Item Response Theory, Test Items, Correlation