Although there exists an extensive amount of research on subscores and their properties, limited research has been conducted on categorical subscores and their interpretations. In this paper, we focus on the claim of Feinberg and von Davier that categorical subscores are useful for remediation and instructional purposes. We investigate this claim…

Examines the effects of four parameters on the accuracy of test equating under a relaxed definition of test form equivalence. The four parameters studied were sample size, test form length, test form reliability, and the correlation between true scores of the test forms to be equated. (CK)

Ordinal measurement is the rank ordering of individuals in a population. For ordinal measurement, the concept of an individual propensity distribution is his or her true score. Estimation of, as well as other aspects of the distribution, are discussed. (Author/JKS)

Finding and interpreting lower bounds for reliability coefficients for tests with nonhomogenous items has been a problem for psychometricians. This paper presents a mathematical formula for finding the greatest lower bound for such a coefficient. (Author/JKS)

A new formula is developed for the relative efficiency of two tests measuring the same trait. The formula expresses relative efficiency solely in terms of the standard errors of measurement and, surprisingly, the frequency distributions of true scores. Approximate methods for estimating relative efficiency may make this function routinely…

It is shown that all obtained scores must meet the requirements for classical test-score theory with respect to definitions of true scores and errors of measurement if that frame of reference is to yield valid variance errors of measurement. (DG)

The paper considers the appropriate and inappropriate use of estimated true scores for normative comparisons and concludes that for normative interpretations of individual scores and class averages, the use of estimated true scores or average estimated true scores is not recommended. (Author/DB)

Current usage and theory of standard error of measurement calls for one standard error of measurement figure to be used across all levels of scoring. The study revealed that scoring variance across scoring levels is not constant. As scoring ability increases scoring variance decreases. The assertion that low and high scoring subjects will…

Issues regarding tolerance and confidence intervals are discussed within the context of educational measurement, and conceptual distinctions are drawn between these two types of intervals. Points are raised about the advantages of tolerance intervals when the focus is on a particular observed score rather than a particular examinee. (Author/BW)

Offers standard errors of prediction and confidence intervals for Vineland Adaptive Behavior Scales (VABS) that help in deciding whether variation in obtained scores of scale administered to the same person more than once is a result of measurement error or whether it reflects actual change in examinee's functional level. Presented values were…

In almost all applications of measurement there is some sort of response by a human subject. Almost always, the response scale is ordinal, but almost always it is treated as if it were an interval measure. Methods for treating data ordinally are currently being developed in three areas: ordinal analysis for questionnaire responses, ordinal…

The procedure of estimating true scores by means of a transformation of the obtained score based on the reliability coefficient is compared with the use of the obtained score without transformation. Using the mean squared error as a criterion, the transformed score is a better estimate for most examinees but poorer for those whose true scores lie…

A person's obtained score on a test provides an estimate of the individual's "true" score on that test. The obtained score is considered to have two parts, the true component and the error component. Classical test theory assumes that obtained scores for an individual over multiple administrations of the same test will lie symmetrically…

False-positive and false-negative decisions are the two possible errors committed with a mastery test; yet the estimation of the likelihood of committing these errors has not been investigated. Two methods of this type of estimation are presented and discussed. (Author/JKS)

Four points are made and discussed concerning the correction for guessing on tests: (1) the correction could more properly be called a penalty for answering wrong; (2) the basic assumption underlying the correction is the concept of the "chance score"--one expects a proportion of the number of items to be answered correctly on the basis of chance;…