Sample sizes (n=15, 25, 50, 100) were examined (1,000 times each) with replacement from each of 5 data files from teacher subject test areas to compare statistical bias and standard error. Trivial levels of equating bias were present with small samples, and substantial increases in standard errors were found as the sample size decreased. (MAK)

Confirmatory factor analytic (CFA) procedures can be used to provide evidence of measurement invariance. However, empirical evaluation has not focused on the accuracy of common CFA steps used to detect a lack of invariance across groups. This investigation examined procedures for detection of test structure differences across groups under several…

The authors provide a basic set of guidelines and recommendations for information that should be included in any manuscript that has confirmatory factor analysis or structural equation modeling as the primary statistical analysis technique. The authors provide an introduction to both techniques, along with sample analyses, recommendations for…

This study examined registered nurses' overall attitudes and homophobia towards gays and lesbians in the workplace. Homophobia scores, represented by the Attitudes Toward Lesbians and Gay Men (ATLG) Scale, was the dependent variable. Overall homophobia scores were assessed among a randomized stratified sample of registered nurses licensed in the…

In this paper the binomial index of model fit is applied to four path-analytic or structural-equation models to demonstrate how this goodness-of-fit measure can be used and interpreted. In addition, the conclusions derived from the results of the binomial index of goodness of fit were compared to the statements presented by the authors of the…

Reviews recent developments in structural equation modeling (SEM). Discusses issues critical to designing and evaluating SEM studies and recent technological developments. Examines innovations in applying SEM to different research contexts and designs. Also discusses procedures for redressing common problems and misunderstandings in the…

A linear latent growth curve mixture model is presented which includes switching between growth curves. Switching is accommodated by means of a Markov transition model. The model is formulated with switching as a highly constrained multivariate mixture model and is fitted using the freely available Mx program. The model is illustrated by analyzing…

A bias-corrected estimator of noncentrality parameters of covariance structure models is discussed. The approach represents an application of the bootstrap methodology for purposes of bias correction, and utilizes the relation between average of resample conventional noncentrality parameter estimates and their sample counterpart. The…

The overarching intent of this article is to exemplify strategies associated with tests for measurement invariance that are uncommonly applied and reported in the extant literature. Designed within a pedagogical framework, the primary purposes are 3-fold and illustrate (a) tests for measurement invariance based on the analysis of means and…

Discusses linear structural relations, Two Stage Least Squares, and path analysis as statistical procedures that sometimes permit causal inferences from correlational findings. Even though two variables cannot be interpreted causally due to a possible but unknown third variable, these methods are appropriate for handling models with correlated…

The Bollen-Stine bootstrap can be used to correct for standard error and fit statistic bias that occurs in structural equation modeling (SEM) applications due to nonnormal data. The purpose of this article is to demonstrate the use of a custom SAS macro program that can be used to implement the Bollen-Stine bootstrap with existing SEM software.…

In keeping with the theme of the International Language Testing Association/Language Testing Research Colloquium Conference in 2008, "Focusing on the Core: Justifying the Use of Language Assessments to Stakeholders," I define "stakeholder-friendly tests," "defensible testing," and "testing-context analysis."…

Given the increased risk factors in the transition from middle school to high school, this study tracked academic and school discipline records for students receiving general and special education services as they transitioned from Grade 8 to Grade 9. The authors employed analysis of variance and structural equation modeling to determine the…

The Programme for International Student Assessment comparative study of reading performance among 15-year-olds is reanalyzed using statistical procedures that allow the full complexity of the data structures to be explored. The article extends existing multilevel factor analysis and structural equation models and shows how this can extract richer…

A new instrument of motivational climate in physical education is presented with the goal of measuring perceptions of teachers' emphasis on mastery, performance-approach, performance-avoidance, and social approval goals. The measure was based on the principle of compatibility, according to which climate perceptions and achievement goals should be…