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…

Examinees who attempt the same test multiple times are often referred to as "repeaters." Previous studies suggested that repeaters should be excluded from the total sample before equating because repeater groups are distinguishable from non-repeater groups. In addition, repeaters might memorize anchor items, causing item drift under a…

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…

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…

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.…

Describes recent research attempts to draw inferences about the relative standing of the states on the basis of mean SAT scores. This paper identifies five serious errors that call into question the validity of such inferences. Some plausible ways to avoid the errors are described. (Author/LMO)

Six methods of equating Test of English as a Foreign Language (TOEFL) test scores for samples consisting of the usual groups of examinees and groups controlled for native language representation were evaluated in terms of scale stability. The equating methods included three item response theory (IRT) variants (fixed b's scaling, a one-parameter…

Linear and equipercentile equating conversions were developed for two forms of the Graduate Record Examinations (GRE) quantitative test and the verbal-plus-quantitative test. From a very large sample of students taking the GRE in October 1981, subpopulations were selected with respect to race, sex, field of study, and level of performance (defined…

In the late 1970s, the Department of Defense requested that the reference population for the Armed Services Vocational Aptitude Battery (ASVAB) be changed and updated to reflect the current youth population. Analyses of new data collected in 1980 indicated that speeded subtest scores of the new sample were atypically low and that the sample might…