While measurement precision is relatively easy to establish for single tests and assessments, it is much more difficult to determine for decision making with multiple tests on different subjects. This latter is the situation in the system of final examinations for secondary education in the Netherlands and is used as an example in this paper. This…

Because test scores are ordinal not cordinal attributes, the average test score often is a misleading way to summarize the scores of a group of individuals. Similarly, correlation coefficients may be misleading summary measures of association between test scores. Proper, readily interpretable, summary statistics are developed from a theory of…

Issues concerning equating test scores are discussed in an introduction, four papers, and two commentaries. Equating methods research, sampling errors, linear equating, population differences, sources of equating errors, and a circular equating paradigm are considered. (SLD)

An important determinant of equating process efficiency is the correlation between the anchor test and components of each form. Use of some monotonic function of this correlation as a measure of equating efficiency is suggested. A model relating anchor test length and test reliability to this measure of efficiency is presented. (Author/DWH)

Two fundamental problems in mental test theory are to estimate true score and to estimate the amount of error when testing an examinee. In this report, three probability models which characterize a single test item in terms of a population of examinees are described. How these models may be modified to characterize a single examinee in terms of an…

The results of five studies into the characteristics of wrong answers as a class of divergent behavior are presented. The evidence from these studies, when taken in combination, suggests that the tendency of researchers to ignore wrong answers has been a fundamental procedural error of broad scope and serious consequences. Instead of the straight…

Several techniques have been developed for creating continuous smooth distributions of test norms. This paper describes two studies that explore the behavior of cubic splines in order to determine their appropriateness for use in test norming. The first study uses data from the Curriculum Referenced Tests of Mastery (CRTM) and employs two…

This paper deals with test fairness regarding a test consisting of two parts: (1) a "common" section, taken by all students; and (2) a "variable" section, in which some students may answer a different set of questions from other students. For example, a test taken by several thousand students each year contains a common multiple-choice portion and…

Any systematic approach to the assessment of students' ability implies the use of a model. The more explicit the model is, the more its users know about what they are doing and what the consequences are. The Rasch model is a strong model where measurement is a bonus of the model itself. It is based on four ideas: (1) separation of observable…

The cultural bias of the Adult Performance Level Assessment, Form AA-l (APLA) was examined. The potential influence of cultural differences on scores of a major ethnic group, Acadians or Cajuns, was investigated. Assessment items most prone to produce differences in scores were isolated and administered to selected groups. No significant…

Four discrimination indices were compared, using score distributions which were normal, bimodal, and negatively skewed. The score distributions were systematically varied to represent the common circumstances of a military training situation using criterion-referenced mastery tests. Three 20-item tests were administered to 110 simulated subjects.…

The feasibility of criterion referenced testing is held to be dependent on the tenability of two postulates: (1) that bias can be controlled in a principled manner from one test to the next; and (2) that one mental process measured by such tests may lawfully interact with another. Without the first postulate, criterion scores could not be…

A procedure is demonstrated for constructing tables showing, for each score on a commercial reading achievement test, the percentage of real-world materials that the testee is likely to comprehend with at least a criterion level of proficiency, the percentages of students in a local or national sample who can competently comprehend a given…