The synthetic function is a weighted average of the identity (the linking function for forms that are known to be completely parallel) and a traditional equating method. The purpose of the present study was to investigate the benefits of the synthetic function on small-sample equating using various real data sets gathered from different…

This article proposes that sampling design effects have potentially huge unrecognized impacts on the results reported by large-scale district and state assessments in the United States. When design effects are unrecognized and unaccounted for they lead to underestimating the sampling error in item and test statistics. Underestimating the sampling…

Recently, the Northwest Evaluation Association (NWEA) completed a study to connect the scale of the North Carolina State End of Grade (EOG) Testing Program used for North Carolina's mathematics and reading assessments with NWEA's Rausch Interval Unit (RIT) scale. Information from the state assessments was used in a study to establish…

The most critical feature of a common-item nonequivalent groups equating design is that the average score difference between the new and old groups can be accurately decomposed into a group ability difference and a form difficulty difference. Two widely used observed-score linear equating methods, the Tucker and the Levine observed-score methods,…

In large-scale assessments, such as state-wide testing programs, national sample-based assessments, and international comparative studies, there are many steps involved in the measurement and reporting of student achievement. There are always sources of inaccuracies in each of the steps. It is of interest to identify the source and magnitude of…

This study investigates whether the functions linking number-correct scores to the College-Level Examination Program (CLEP) scaled scores remain invariant over gender groups, using test data on the 16 testlet-based forms of the CLEP College Algebra exam. To be consistent with the operational practice, linking of various test forms to a common…

The discussion here covers five articles that are linked in the sense that they all treat population invariance. This discussion of population invariance is a somewhat broader treatment of the subject than simply a discussion of these five articles. In particular, occasional reference is made to publications other than those in this issue. The…

This article discusses the five studies included in this issue. Each article addressed the same topic, population invariance of equating. They all used data from major standardized testing programs, and they all used essentially the same statistics to evaluate their results, namely, the root mean square difference and root expected mean square…

Specific recommendations are made concerning the circumstances under which the benefits of out-of-level testing outweigh the problems associated with it. Topics explored are: various methods for deciding when a set of test scores is invalid and the utility of these methods for local evaluators, the accuracy of vertical scaling, and the usefulness…

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…

The increasing use of educational performance or outcome measurements for a range of policy purposes points to new procedures for adjusting data for population composition. The purposes include: program formulation, budget resource allocation, grant-in-aid designs, performance incentive payments, consumer information for school selection, and…

This symposium included four papers about the administration of the evaluation of Elementary and Secondary Education Act Title I projects. The first speaker, Janice K. Anderson, presented a summary of efforts to coordinate evaluations so as to promote sufficient uniformity for generalizations across local programs, but permitting maximim local…