Because variables may be correlated in the social and behavioral sciences, multicollinearity might be problematic. This study investigates the effect of collinearity manipulated in within and between levels of a two-level confirmatory factor analysis by Monte Carlo simulation. Furthermore, the influence of the size of the intraclass correlation…

In Ramsay curve item response theory (RC-IRT) modeling, the shape of the latent trait distribution is estimated simultaneously with the item parameters. In its original implementation, RC-IRT is estimated via Bock and Aitkin's EM algorithm, which yields maximum marginal likelihood estimates. This method, however, does not produce the…

When item parameter estimates are used to estimate the ability parameter in item response models, the standard error (SE) of the ability estimate must be corrected to reflect the error carried over from item calibration. For maximum likelihood (ML) ability estimates, a corrected asymptotic SE is available, but it requires a long test and the…

Different estimation procedures have been developed for the unidimensional three-parameter item response theory (IRT) model. These techniques include the marginal maximum likelihood estimation, the fully Bayesian estimation using Markov chain Monte Carlo simulation techniques, and the Metropolis-Hastings Robbin-Monro estimation. With each…

Purpose: Realizing the role of signals in the evaluation of teaching quality as well as the advantage of a set-theoretic approach to education research, the purpose of this paper is to employ a signaling framework and fuzzy-set qualitative comparative analysis (fsQCA) to configure the roles of signal quality, including signal consistency, signal…

Research on attachment in adult relationships has included minimal studies to encompass a Hispanic population. Mexican Americans have specific characteristics grounded in historical, demographic, and family contexts which are different from other groups. Therefore, cross-cultural validation of instruments to assess family relationships increases…

We examined the links between perceived parental use of social and material rewards and prosocial behaviors across youth from two countries. Six hundred forty adolescents (297 girls; X-bar age = 15.32 years) from Valencia, Spain, and 552 adolescents (321 girls; X-bar age = 13.38 years) from the United States completed measures of their perceptions…

This study examined relations of social sensitivity to social, school, and psychological adjustment in rural Chinese, urban Chinese, and Canadian children. Participants were 4th to 6th grade students (M[subscript age] = 11 years) in China (n = 593 and 443 for the rural and urban samples) and Canada (n = 325). A self-report measure of social…

Despite wide applications of both mediation models and missing data techniques, formal discussion of mediation analysis with missing data is still rare. We introduce and compare four approaches to dealing with missing data in mediation analysis including list wise deletion, pairwise deletion, multiple imputation (MI), and a two-stage maximum…

Research Findings: Although there is a well-established relationship between economic stress and children's self-regulation, few studies have examined this relationship in children of Hispanic immigrants (COHIs), a rapidly growing population. In a sample of preschool children (N = 165), we examined whether economic stress predicted teacher…

In this article, I provide a conceptually oriented overview of Bayesian approaches to statistical inference and contrast them with frequentist approaches that currently dominate conventional practice in educational research. The features and advantages of Bayesian approaches are illustrated with examples spanning several statistical modeling…

Testlets, or groups of related items, are commonly included in educational assessments due to their many logistical and conceptual advantages. Despite their advantages, testlets introduce complications into the theory and practice of educational measurement. Responses to items within a testlet tend to be correlated even after controlling for…

Few issues in education threaten the nation as seriously as the present and growing shortage of teachers. Teacher attrition is high among teachers across the nation and is one of the most serious causes of teacher shortage (Ingersoll, 2004). As policy makers rush to address this problem, research is needed to examine the retention effects of…

The main purpose of this study is to improve estimation efficiency in obtaining maximum marginal likelihood estimates of contextual effects in the framework of nonlinear multilevel latent variable model by adopting the Metropolis-Hastings Robbins-Monro algorithm (MH-RM). Results indicate that the MH-RM algorithm can produce estimates and standard…

The main purpose of this study is to improve estimation efficiency in obtaining maximum marginal likelihood estimates of contextual effects in the framework of nonlinear multilevel latent variable model by adopting the Metropolis-Hastings Robbins-Monro algorithm (MH-RM; Cai, 2008, 2010a, 2010b). Results indicate that the MH-RM algorithm can…