In many educational tests, both multiple-choice (MC) and constructed-response (CR) sections are used to measure different constructs. In many common cases, security concerns lead to the use of form-specific CR items that cannot be used for equating test scores, along with MC sections that can be linked to previous test forms via common items. In…

van der Linden (this issue) uses words differently than Holland and Dorans. This difference in language usage is a source of some confusion in van der Linden's critique of what he calls equipercentile equating. I address these differences in language. van der Linden maintains that there are only two requirements for score equating. I maintain…

Maintaining score interchangeability and scale consistency is crucial for any testing programs that administer multiple forms across years. The use of a multiple linking design, which involves equating a new form to multiple old forms and averaging the conversions, has been proposed to control scale drift. However, the use of multiple linking…

Simulations are widely used. Simulations produce numbers that are deductive demonstrations of what a model says will happen.They produce numerical results that are consistent with the premises of the model used to generate the numbers. These simulated numerical results are not empirical data that address aspects of the world that lies outside the…

The interpretability of score comparisons depends on the design and execution of a sound data collection plan and the establishment of linkings between these scores. When comparisons are made between scores from two or more assessments that are built to different specifications and are administered to different populations under different…

We make a distinction between two types of test changes: inevitable deviations from specifications versus planned modifications of specifications. We describe how score equity assessment (SEA) can be used as a tool to assess a critical aspect of construct continuity, the equivalence of scores, whenever planned changes are introduced to testing…

For testing programs that administer multiple forms within a year and across years, score equating is used to ensure that scores can be used interchangeably. In an ideal world, samples sizes are large and representative of populations that hardly change over time, and very reliable alternate test forms are built with nearly identical psychometric…

Score equating is essential for any testing program that continually produces new editions of a test and for which the expectation is that scores from these editions have the same meaning over time. Particularly in testing programs that help make high-stakes decisions, it is extremely important that test equating be done carefully and accurately.…

Views on testing--its purpose and uses and how its data are analyzed--are related to one's perspective on test takers. Test takers can be viewed as learners, examinees, or contestants. I briefly discuss the perspective of test takers as learners. I maintain that much of psychometrics views test takers as examinees. I discuss test takers as a…

Extreme linkings are performed in settings in which neither equivalent groups nor anchor material is available to link scores on two assessments. Examples of extreme linkages include links between scores on tests administered in different languages or between scores on tests administered across disability groups. The strength of interpretation…

Kane, Mroch, Suh, and Ripkey (2009) describe what they call five linear equating methods for the nonequivalent groups with anchor test (NEAT) design. The authors embed these methods within a two-dimensional framework. The first dimension contrasts what the authors call a parameter substitution (PS) approach what they call a chained linear…

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…

To ensure fairness, it is important to better understand the relationship of language proficiency with the standard procedures of psychometric analysis. This paper examines how equating results are affected by an increase in the proportion of examinees who report that English is not their first language, using the analysis samples for a…

This exploratory study was built on research spanning three decades. Petersen, Marco, and Stewart (1982) conducted a major empirical investigation of the efficacy of different equating methods. The studies reported in Dorans (1990) examined how different equating methods performed across samples selected in different ways. Recent population…

This study uses historical data to explore the consistency of SAT® I: Reasoning Test score conversions and to examine trends in scaled score means. During the period from April 1995 to December 2003, both Verbal (V) and Math (M) means display substantial seasonality, and a slight increasing trend for both is observed. SAT Math means increase more…