Multilevel modeling (MLM) is frequently used to detect cluster-level group differences in cluster randomized trial and observational studies. Group differences on the outcomes (posttest scores) are detected by controlling for the covariate (pretest scores) as a proxy variable for unobserved factors that predict future attributes. The pretest and…

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…

In this article, we discuss the importance of measurement literacy and some issues encountered in teaching introductory measurement courses. We present results from a survey of introductory measurement instructors, including information about the topics included in such courses and the amount of time spent on each. Topics that were included by the…

The clarification provided by Williams and Zimmerman on the reliability of gain scores is translated into recognizable patterns of change that tend to produce reliable or unreliable gain scores. The relevance of the traditional idea of reliability to the measurement of change is also discussed. (SLD)

The reliability of a gain is determined by the reliabilities of the components, the correlation between them, and their standard deviations. Reliability is not inherently low, but the components of gains in many investigations make low reliability likely and require caution in the use of gain scores. (SLD)

The critiques by L. Collins and L. Humphreys in this issue illustrate problems with the use of gain scores. Collins' examples show that familiar formulas for the reliability of differences do not reflect the precision of measures of change. Additional examples demonstrate flaws in the conventional approach to reliability. (SLD)

Nedelsky (1954) has suggested a procedure for determining the minimum passing score on a multiple-choice test. In this procedure expert judges estimate the probable score of a minimally competent examinee. The technique does not refer to the students' performance data. The purposes of this paper are: (1) to introduce a modification to the Nedelsky…