Equating two parallel forms of the College Board Biology Achievement Test using three sampling strategies was examined. For each strategy, five equating procedures were studied: Tucker and Levine equally reliable linear equatings; frequency estimation equipercentile equatings; chained equipercentile curvilinear equatings; and three-parameter…

The delta method was used to derive standard errors (SES) of the Levine observed score and Levine true score linear test equating methods using data from two test forms. SES derived without the normality assumption and bootstrap SES were very close. The situation with skewed score distributions is also discussed. (SLD)

Estimated year-to-year changes in average writing performance for 188 schools using a group-level version of the generalized partial credit item-response theory model. Results illustrate that technical equating adjustments can be important even when there have been rigorous efforts to make prompts and rating training equivalent to the old tests.…

Provides asymptotic standard errors of the estimates of equated scores from several types of item response theory (IRT) true score equatings. Equating designs considered cover those with internal or external common items and separate or simultaneous estimation. Uses marginal maximum likelihood estimation for the estimation of item parameters. (SLD)

Examined the effects of test length and sample size on the alternate forms reliability and equating of simulated mathematics tests composed of constructed response items scaled using the two-parameter partial credit model. Results suggest that, to obtain acceptable reliabilities and accurate equated scores, tests should have at least 8 6-point…

A study was conducted to assess the equivalence of validity and reliability of two forms of the Self-Esteem Rating Scale. A total of 228 responses were obtained from a purposive sample. Several data analysis methods were used to test specific hypotheses, and two methods of equating observed scores on the two forms were used. The results were…

There is significant potential for error in long production processes that consist of sequential stages, each of which is heavily dependent on the previous stage, such as the SER (Scoring, Equating, and Reporting) process. Quality control procedures are required in order to monitor this process and to reduce the number of mistakes to a minimum. In…

The two purposes of this paper are to provide a SAS IML macro that performs loglinear smoothing and to apply this macro to loglinear smoothing problems that have not been extensively discussed in the test-equating literature. The SAS macro is demonstrated on univariate, bivariate, and trivariate smoothing problems. The univariate and bivariate…

The purpose of this study was to determine the extent to which item parameters estimated on pretest data from the verbal section of the Scholastic Aptitude Test (SAT) can be used for equating purposes in a situation where intact final form SAT testing data have normally been used. Items appearing in two final SAT-verbal forms were calibrated…

The effectiveness of 19 methods of smoothing was investigated as those methods apply to the equipercentile method of test equating. Seven methods involved smoothing the score distribution before the tests were equated (presmoothing). Seven involved smoothing the resultant points after the equating (postsmoothing). Five methods involved combining…

This study investigated the development and application of two widely used methods of vertical equating: Rasch and Equipercentile. The assumptions underlying both techniques are discussed. Procedures for utilization of the Rasch method are illustrated. The study was conducted to determine whether, based upon Rasch vertical equating, a local school…

Transformations or equating of raw test scores on two or more forms of the same test are made interchangeable by empirical procedures deriving the standard error of an equipercentile equating for four different situations. Some numerical results are checked by Monte Carlo methods. Numerical standard errors are computed for two sets of real data.…

Data from the Scholastic Aptitude Test-Verbal (SAT-V), SAT Mathematics (SAT-M), and Achievement Tests in Biology, American History, and Social Studies were used for this study. The temporal stability of item parameter estimates obtained for the same set of items calibrated for different examinees at different times was analyzed. It was believed…

The purposes of this study are: (1) to compare the results of linear, equipercentile, frequency estimation equipercentile and item response theory (IRT) true formula score equating; and (2) to investigate the feasibility of using IRT methods to equate new forms of the Preliminary Scholastic Aptitude Test/National Merit Scholarship Qualifying Test…

A comparison is made between Elementary Secondary Education Act Title I normal curve equivalent (NCE) gains derived from the norm-referenced test (NRT) Model A1 and Title I NCE gains derived from the criterion-referenced test (CRT) Model A2. In addition, four equating methods (normalized, curvilinear, linear, and abbreviated equipercentile) for…