An equating procedure for a testing program with evolving distribution of examinee profiles is developed. No anchor is available because the original scoring scheme was based on expert judgment of the item difficulties. Pairs of examinees from two administrations are formed by matching on coarsened propensity scores derived from a set of…

The purpose of this study was to evaluate the combined effects of reduced equating sample size and shortened anchor test length on item response theory (IRT)-based linking and equating results. Data from two independent operational forms of a large-scale testing program were used to establish the baseline results for evaluating the results from…

Maintaining score stability is crucial for an ongoing testing program that administers several tests per year over many years. One way to stall the drift of the score scale is to use an equating design with multiple links. In this study, we use the operational and experimental SAT® data collected from 44 administrations to investigate the effect…

Over the past few decades, those who take tests in the United States have exhibited increasing diversity with respect to native language. Standard psychometric procedures for ensuring item and test fairness that have existed for some time were developed when test-taking groups were predominantly native English speakers. A better understanding of…

Sampling errors limit the accuracy with which forms can be linked. Limitations on accuracy are especially important in testing programs in which a very large number of forms are employed. Standard inequalities in mathematical statistics may be used to establish lower bounds on the achievable inking accuracy. To illustrate results, a variety of…

Scope and Method of Study: This study focused on the development and use of the AT-SAT test battery and the Initial En Route Qualification training course for the selection, training, and evaluation of air traffic controller candidates. The Pearson product moment correlation coefficient was used to measure the linear relationship between the…

Operational testing programs employing item response theory (IRT) applications benefit from of the property of item parameter invariance whereby item parameter estimates obtained from one sample can be applied to other samples (when the underlying assumptions are satisfied). In theory, this feature allows for applications such as computer-adaptive…

This study addresses the sample error and linking bias that occur with small and unrepresentative samples in a non-equivalent groups anchor test (NEAT) design. We propose a linking method called the "synthetic function," which is a weighted average of the identity function (the trivial equating function for forms that are known to be…

This study examined the cross-lingual equating process adopted by a large scale testing system in which target language (TL) forms are equated to the source language (SL) forms using a set of translated items. The focus was on evaluating the degree of error inherent in the routine cross-lingual equating of the Verbal Reasoning subtest of the…

A procedure used to average several Mantel-Haenszel delta difference values for an item is described and evaluated. The differential item functioning (DIF) procedure used by the Educational Testing Service (ETS) is based on the Mantel-Haenszel statistical technique for studying matched groups. It is standard procedure at ETS to analyze test items…

This Technical Report provides descriptions and summary data that assist measurement specialists in assessing the procedures used in developing New Jersey's High School Proficiency Test (HSPT), the technical qualities of the tests, and the statewide results obtained from its use. The data summarized in this report were collected during the various…

This paper examines how various equating methods are affected by: (1) sampling error; (2) sample characteristics; and (3) characteristics of anchor test items. It reviews empirical studies that investigated the invariance of equating transformations, and it discusses empirical and simulation studies that focus on how the properties of anchor tests…

This paper focuses on the questions which arise as test practitioners monitor score scales derived from latent trait theory. Large scale assessment programs are dynamic and constantly challenge the assumptions and limits of latent trait models. Even though testing programs evolve, test scores must remain reliable indicators of progress.…

A necessary prerequisite to the operational use of item response theory (IRT) in any testing program is the investigation of the feasibility of such an approach. This report presents the results of such research for the Graduate Management Admission Test (GMAT). Despite the fact that GMAT data appear to violate a basic assumption of the…

A procedure which employs a method of item substitution based on item difficulty is recommended for developing parallel criterion referenced test forms. This procedure is currently being used in the Florida functional literacy testing program and the Georgia teacher certification testing program. Reasons for developing parallel test forms involve…