Test equating requires collecting data to link the scores from different forms of a test. Problems arise when equating samples are not equivalent and the test forms to be linked share no common items by which to measure or adjust for the group nonequivalence. Using data from five operational test forms, we created five pairs of research forms for…

This study evaluated the impact of subgroup weighting for equating through a common-item anchor. We used data from a single test form to create two research forms for which the equating relationship was known. The results showed that equating was most accurate when the new form and reference form samples were weighted to be similar to the target…

Equating the scores from different forms of a test requires collecting data that link the forms. Problems arise when the test forms to be linked are given to groups that are not equivalent and the forms share no common items by which to measure or adjust for this group nonequivalence. We compared three approaches to adjusting for group…

This study investigated the impact of repeat takers of a licensure test on the equating functions in the context of a nonequivalent groups with anchor test (NEAT) design. Examinees who had taken a new, to-be-equated form of the test were divided into three subgroups according to their previous testing experience: (a) repeaters who previously took…

We demonstrate how to assess the potential changes to a test's score scale necessitated by changes to the test specifications when a field study is not feasible. We used a licensure test, which is currently under revision, as an example. We created two research forms from an actual form of the test. One research form was developed with the current…

The purpose of this study was to investigate the potential impact of misrouting under a 2-stage multistage test (MST) design, which includes 1 routing and 3 second-stage modules. Simulations were used to create a situation in which a large group of examinees took each of the 3 possible MST paths (high, middle, and low). We compared differences in…

This article describes a preliminary investigation of an empirical Bayes (EB) procedure for using collateral information to improve equating of scores on test forms taken by small numbers of examinees. Resampling studies were done on two different forms of the same test. In each study, EB and non-EB versions of two equating methods--chained linear…

Using data from a large-scale exam, in this study we compared various designs for equating constructed-response (CR) tests to determine which design was most effective in producing equivalent scores across the two tests to be equated. In the context of classical equating methods, four linking designs were examined: (a) an anchor set containing…

This study examined the appropriateness of the anchor composition in a mixed-format test, which includes both multiple-choice (MC) and constructed-response (CR) items, using subpopulation invariance indices. Linking functions were derived in the nonequivalent groups with anchor test (NEAT) design using two types of anchor sets: (a) MC only and (b)…

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…

A series of resampling studies investigated the accuracy of equating by four different methods in a random groups equating design with samples of 400, 200, 100, and 50 test takers taking each form. Six pairs of forms were constructed. Each pair was constructed by assigning items from an existing test taken by 9,000 or more test takers. The…

This study examined the use of an all multiple-choice (MC) anchor for linking mixed format tests containing both MC and constructed-response (CR) items, in a nonequivalent groups design. An MC-only anchor could effectively link two such test forms if either (a) the MC and CR portions of the test measured the same construct, so that the MC anchor…

Score equating based on small samples of examinees is often inaccurate for the examinee populations. We conducted a series of resampling studies to investigate the accuracy of five methods of equating in a common-item design. The methods were chained equipercentile equating of smoothed distributions, chained linear equating, chained mean equating,…

This article suggests a method for estimating a test-score equating relationship from small samples of test takers. The method does not require the estimated equating transformation to be linear. Instead, it constrains the estimated equating curve to pass through two pre-specified end points and a middle point determined from the data. In a…

This paper suggests two new, related methods for estimating a test-score equating relationship from small samples of test takers. These methods do not require the estimated equating transformation to be linear. Instead, they constrain the estimated equating curve to pass through 2 prespecified end-points and a middle point determined from the…