For (0, 1) scored multiple-choice tests, a formula giving test reliability as a function of the number of item options is derived, assuming the "knowledge or random guessing model," the parallelism of the new and old tests (apart from the guessing probability), and the assumptions of classical test theory. It is shown that the formula is a more…

In the past, several latent structure models have been proposed for handling problems associated with measuring the achievement of examinees. Typically, however, these models describe a specific examinee in terms of an item domain or they describe a few items in terms of a population of examinees. In this paper, a model is proposed which allows a…

This paper points out that there are certain generalizations about directions for guessing and methods of scoring that require that data be derived from random groups design. It supports the viewpoint that it is neither sufficient nor appropriate to make such generalizations on the basis of an analysis of scores obtained from the answer sheets of…

One means of learning about the processes operating in a multiple choice test is to include some test items, called nonsense items, which have no correct answer. This paper compares two versions of a mathematical model of test performance to interpret test data that includes both genuine and nonsense items. One formula is based on the usual…

In a study to determine whether a shift from Formula scoring to Rights scoring can be made without causing a discontinuity in the test scale, the analysis of special administrations of the Scholastic Aptitude Test and Chemistry Achievement Test and the variable section of an operational form of the Graduate Management Admission Test (GMAT) is…

These studies in test adequacy focus on two problems: procedures for estimating reliability, and techniques for identifying ineffective distractors. Fourteen papers are presented on recent advances in measuring achievement (a response to Molenaar); "an extension of the Dirichlet-multinomial model that allows true score and guessing to be…

During 1969 the International Association for the Evaluation of Educational Achievement began a series of cross-cultural studies to investigate the workings of multiple-choice achievement tests and student guessing behaviors. Empirical models to correct for guessing are discussed in terms of test item difficulty, number of response choices,…