In adolescence research, the treatment of measurement reliability is often fragmented, and it is not always clear how different reliability coefficients are related. We show that generalizability theory (G-theory) is a comprehensive framework of measurement reliability, encompassing all other reliability methods (e.g., Pearson "r,"…

In keeping with the theme of the International Language Testing Association/Language Testing Research Colloquium Conference in 2008, "Focusing on the Core: Justifying the Use of Language Assessments to Stakeholders," I define "stakeholder-friendly tests," "defensible testing," and "testing-context analysis."…

Seventeen statistics for measuring the reliability of criterion-referenced tests were critically reviewed. The review was organized into two sections: (1) a discussion of preliminary considerations to provide a foundation for choosing the appropriate category of "reliability" (threshold loss function, squared-error loss-function, or…

The contention that interpretation of a student's performance on a criterion referenced test should be independent of the performance of his classmates is challenged. The Mastery Learning Test Model, which was developed for analyzing criterion referenced test data, is described. An estimate of the proportion of students in an instructional group…

Considered is the improvement of criterion-referenced measurement as applied to individual and group assessment of handicapped and normal children. (DB)

It has been argued that item variance and test variance are not necessary characteristics for criterion-referenced tests, although they are necessary for norm-referenced tests. This position is in error because it considers sample statistics as the criteria for evaluating items and tests. Within a particular sample, an item or test may have no…

Since the primary purpose of classical testing is to rank order examinees consistently, the absolute value of the true score has been relatively unimportant. However, the major purpose of criterion referenced testing is to estimate the true capabilities of examinees to perform specific tasks. Hence, the problems of true score determination assume…

In this comment a recent attempt by Samuel A. Livingston to develop a theory of reliability for criterion-referenced measures is critiqued. For Livingston's rejoinder see TM 500 560. (Authors/MB)

The literature on criterion referenced testing is full of discussions concerning whether classical measurement techniques are appropriate, whether variance is necessary, whether new indices of reliability are needed, and the like. What appears to be lacking, however, is a clear and simple discussion of why the problems occur. This paper suggests…

Three statistical problems related to criterion-referenced testing are investigated: estimation of the likelihood of a false-positive or false-negative decision with a mastery test, estimation of true scores in the Compound Binomial Error Model, and comparison of the examinees to a control. Two methods for estimating the likelihood of…

A large number of seemingly diverse coefficients have been proposed as indices of dependability, or reliability, for domain-referenced and/or mastery tests. In this paper, it is shown that most of these indices are special cases of two generalized indices of agreement: one that is corrected for chance, and one that is not. The special cases of…

The Mastery-Learning test model is extended. Methods for estimating prior probabilities are described. The use of an adjustment matrix to transform a probability of mastery measure and empirical methods for estimating adjustment matrix parameters are derived. Adjustment matrices are interpreted as indicators of instructional effectiveness and as…

An experiment was performed to evaluate the tenability of the assumption in the Elementary Secondary Education Act (ESEA) Title I proposed variance estimation procedures for criterion referenced tests. The assumption is that the ratio of the local to the national standard deviation for the national sample will be the same for the normed test as…

Alternative mathematical models for scoring and decision making with criterion referenced tests are described, especially as they concern appropriate test length and methods of establishing statistically valid cutting scores. Several of these approaches are reviewed and compared on formal-analytic and empirical grounds: (1) Block's approach to…