The paper proposes new measures of difficulty and discriminating values of binary items and test consisting of such items and find their relationships including estimation of test error variance and thereby the test reliability, as per definition using cosine similarities. The measures use entire data. Difficulty value of test and item is defined…

The Survey of Physics Reasoning on Uncertainty Concepts in Experiments (SPRUCE) was designed to measure students' proficiency with measurement uncertainty concepts and practices across ten different assessment objectives to help facilitate the improvement of laboratory instruction focused on this important topic. To ensure the reliability and…

Background: School feeding programs' evaluation requires the measurement of food insecurity, a more objective indicator, within school in low-income countries. The Global Child Nutrition Foundation (GCNF) uses subjective indicators to report school feeding coverage rates across many countries that participate in the global survey of school meal…

A method for medical screening is adapted to differential item functioning (DIF). Its essential elements are explicit declarations of the level of DIF that is acceptable and of the loss function that quantifies the consequences of the two kinds of inappropriate classification of an item. Instead of a single level and a single function, sets of…

Standardizing aspects of assessments has long been recognized as a tactic to help make evaluations of examinees fair. It reduces variation in irrelevant aspects of testing procedures that could advantage some examinees and disadvantage others. However, recent attention to making assessment accessible to a more diverse population of students…

Psychometric practice does not always converge with the advances of psychometric theory. In order to investigate this gap, the authors focus on the 10 most used psychological tests in Europe, as identified by recent surveys. The article analyzes test manuals published in 6 different European countries for these 10 most used tests. A total of 32…

This article studies the ordinal reliability of (total) test scores. This study is based on a classical-type linear model of observed score (X), true score (T), and random error (E). Based on the idea of Kendall's tau-a coefficient, a measure of ordinal reliability for small-examinee populations is developed. This measure is extended to large…

The basic processes in univariate statistics involve partitioning the sum of squares into two components: explained and within. This paper explains that the same partitioning occurs in measurement analyses, i.e., splitting the sum of squares into reliable and unreliable components. In addition, it is shown how the three types of error inherent in…

A chain of lower bound inequalities leading to the greatest lower bound to reliability is established for the internal consistency of a composite of unit-weighted scores (such as a test). Algorithms for obtaining various reliability coefficients are presented. (Author/JKS)

The present paper reviews the techniques commonly used to correct an observed correlation coefficient for the simultaneous influence of attenuation and range restriction effects. It is noted that the procedure which is currently in use may be somewhat biased because it treats range restriction and attenuation as independent restrictive influences.…

Reading comprehension involves a number of distinctly different intellectual skills that can be assessed if the proper techniques are employed. As part of a reading assessment system, two measures of literal comprehension were developed: the Literal Comprehension Details Test (LCDT) and the Paraphrase Reading Test (PRT). Both the LCDT and the PRT…

Provides information on statistical data and jargon so that English department members can more confidently and responsibly identify the inevitable weaknesses and limitations of both tests of writing ability and the research on them. (RL)

The impact of the Subset Selection Technique (SST) for multiple-choice items on certain properties of a test was compared with that of two other methods, the Number Right and the Correction for Guessing Formula. Results indicated that SST outperformed the other two, producing higher reliability and validity without favoring high risk takers.…

Three methods for estimating reliability are studied within the context of nonparametric item response theory. Two were proposed originally by Mokken and a third is developed in this paper. Using a Monte Carlo strategy, these three estimation methods are compared with four "classical" lower bounds to reliability. (Author/JAZ)

The reliabilities of two types of measurement plans were compared across six hypothetical distributions of true scores or abilities. The measurement plans were: (1) fixed-length, where the number of trials for all examinees is set in advance; and (2) trials-to-criterion, where examinees must keep trying until they complete a given number of trials…