This study utilizes an analysis of diminishing returns to examine the relationship between sample size and item parameter estimation precision when utilizing the Masters' Partial Credit Model for polytomous items. Item data from the standardization of the Batelle Developmental Inventory, 3rd Edition were used. Each item was scored with a…

An information-correction method for testlet-based tests is introduced. This method takes advantage of both generalizability theory (GT) and item response theory (IRT). The measurement error for the examinee proficiency parameter is often underestimated when a unidimensional conditional-independence IRT model is specified for a testlet dataset. By…

The Angoff method requires experts to view every item on the test and make a probability judgment. This can be time consuming when there are large numbers of items on the test. In this study, a G-theory framework was used to determine if a subset of items can be used to make generalizable cut-score recommendations. Angoff ratings (i.e.,…

The traditional approach to scale modified-Angoff cut scores transfers the raw cuts to an existing raw-to-scale score conversion table. Under the traditional approach, cut scores and conversion table raw scores are not only seen as interchangeable but also as originating from a common scaling process. In this article, we propose an alternative…

We examined how rater language background affects the scoring of short-answer, open-ended test items in the assessment of English language learners (ELLs). Four native English and four native Spanish-speaking certified bilingual teachers scored 107 responses of fourth- and fifth-grade Spanish-speaking ELLs to mathematics items administered in…

Standard-setting methods are widely used to determine cut scores on a test that examinees must meet for a certain performance standard. Because standard setting is a measurement procedure, it is important to evaluate variability of cut scores resulting from the standard-setting process. Generalizability theory is used in this study to estimate…

Examinees who take high-stakes assessments are usually given an opportunity to repeat the test if they are unsuccessful on their initial attempt. To prevent examinees from obtaining unfair score increases by memorizing the content of specific test items, testing agencies usually assign a different test form to repeat examinees. The use of multiple…

The testing of English language learners (ELLs) is, to a large extent, a random process because of poor implementation and factors that are uncertain or beyond control. Yet current testing practices and policies appear to be based on deterministic views of language and linguistic groups and erroneous assumptions about the capacity of assessment…

This study evaluated the impact of unequal reliability on test equating methods in the nonequivalent groups with anchor test (NEAT) design. Classical true score-based models were compared in terms of their assumptions about how reliability impacts test scores. These models were related to treatment of population ability differences by different…

In assessment programs where scores are reported for individual examinees, it is desirable to have responses to performance exercises graded by more than one rater. If more than one item on each test form is so graded, it is also desirable that different raters grade the responses of any one examinee. This gives rise to sampling designs in which…

Studied the appropriateness and implications of incorporating a testlet definition into the estimation of procedures of the conditional standard error of measurement (SEM) for tests composed of testlets. Simulation results for several methods show that an item-based method using a generalizability theory model provided good estimates of the…

This study used generalizability theory and other statistical concepts to assess the application of the Angoff method to setting cutoff scores on two professional certification tests. A panel of ten judges gave pre- and post-feedback Angoff probability ratings of items of two forms of a professional certification test, and another panel of nine…

We contend that generalizability (G) theory allows the design of psychometric approaches to testing English-language learners (ELLs) that are consistent with current thinking in linguistics. We used G theory to estimate the amount of measurement error due to code (language or dialect). Fourth- and fifth-grade ELLs, native speakers of…

Tables of specifications are used to guide test developers in sampling items and maintaining consistency from form to form. This paper is a generalizability study of the American College Testing Program (ACT) Achievement Program Mathematics Test (AAP), with the content areas of the table of specifications representing multiple dependent variables.…

The Third International Mathematics and Science Study (TIMSS) measured mathematics and science achievement of middle school students in more than 40 countries. About one quarter of the tests' nearly 300 items were free response items requiring students to generate their own answers. Scoring these responses used a two-digit diagnostic code rubric…