Although the Bock–Aitkin likelihood-based estimation method for factor analysis of dichotomous item response data has important advantages over classical analysis of item tetrachoric correlations, a serious limitation of the method is its reliance on fixed-point Gauss-Hermite (G-H) quadrature...

Although the Bock–Aitkin likelihood-based estimation method for factor analysis of dichotomous item response data has important advantages over classical analysis of item tetrachoric correlations, a serious limitation of the method is its reliance on fixed-point Gauss-Hermite (G-H) quadrature...

For analyzing item response data, item response theory (IRT) models treat the discrete responses to the items as driven by underlying continuous latent traits, and consider the form of conditional probability of the response to each item given the latent traits. In a similar fashion, log-linear...

Chapter 1 is concerned with confidence interval construction for the mean of a long-range dependent time series. It is well known that the moving block bootstrap method produces an inconsistent estimator of thedistribution of the normalized sample mean when its limiting distribution is not...

Given the rapid advancement of computer technology, the importance of administeringadaptive tests with polytomous items is in great need. With regard to the applicability ofadaptive testing using polytomous IRT models, adaptive testing can use polytomous items of either rating scales, or in some...

The ability to work with graphs is at the core of the economic domain and is also one of the central challenges for novices in the field. To accurately assess the graph competence of higher education students, we developed and tested an 18-item graph competence instrument with different...

The main purposes of this study were to systematically investigate the impact of representativeness and non-representativeness of common-item sets in terms of statistical, content, and format specifications in mixed-format tests using concurrent calibration with unidimensional IRT models, as...

Measuring continuous change or growth in individual students' academic abilities over time currently uses several statistical models or transformations to move from data representing a student's correct or incorrect responses on individual test items to inferences about the form and quantity of...

If data exhibit a dimensional structure more complex than what is assumed, key conditional independence assumptions of the hypothesized model do not hold. The current work pursues posterior predictive model checking, a flexible family of Bayesian model checking procedures, as a tool for...

The primary purpose of this study is to investigate the impact of the local item dependence (LID) of testlet items on the performance of the multistage tests (MST) that make pass/fail decisions. In this study, LID is simulated in testlet items. Testlet items are those that physically share the...