Spearman's correction for attenuation (measurement error) corrects a correlation coefficient for measurement errors in either-or-both of two variables, and follows from the assumptions of classical test theory. Spearman's equation removes all measurement error from a correlation coefficient which translates into "increasing the reliability of…

Item response theory (IRT) has so many advantages than its precedent Classical Test Theory (CTT) such as non-changing item parameters, ability parameter estimations free from the items. However, in order to get these advantages, some assumptions should be met and they are; unidimensionality, normality and local independence. However, it is not…

The frequently neglected and often misunderstood relationship between classical test theory and item response theory is discussed for the unidimensional case with binary measures and no guessing. It is pointed out that popular item response models can be directly obtained from classical test theory-based models by accounting for the discrete…

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,…

In 1997, based on the amendments to Individuals with Disabilities Education Act (IDEA), all states were faced with a statutory requirement to develop and implement alternate assessments for students with disabilities unable to participate in the statewide large-scale assessment. States were given the challenge of creating, implementing, and…

This paper is aimed at demonstrating that Charles Spearman postulated neither a platonic true-error distinction nor a requirement for constant true scores under repeated measurement. (Author/RC)

Theories that posit multiplicative relationships between variables are common in psychology. A. G. Greenwald et al. recently presented a theory that explicated relationships between group identification, group attitudes, and self-esteem. Their theory posits a multiplicative relationship between concepts when predicting a criterion variable.…

Value-added models in education research allow researchers to explore how a wide variety of policies and measured school inputs affect the academic performance of students. Researchers typically quantify the impacts of such interventions in terms of "effect sizes", i.e., the estimated effect of a one standard deviation change in the…

This paper discusses cognitive and noncognitive variables, and their relationship with each other, in learning and in educational evaluation. The nature of noncognitive learning environment variables is examined. The following instruments that have been widely used in assessing classroom environment are described: (1) the Learning Environment…