Structural equation models comprise a large class of popular statistical models, including factor analysis models, certain mixed models, and extensions thereof. Model estimation is complicated by the fact that we typically have multiple interdependent response variables and multiple latent variables (which may also be called random effects or…

Exploratory factor analysis (EFA) is used routinely in the development and validation of assessment instruments. One of the most significant challenges when one is performing EFA is determining how many factors to retain. Parallel analysis (PA) is an effective stopping rule that compares the eigenvalues of randomly generated data with those for…

The increasing use of ordinal variables in different fields has led to the introduction of new statistical methods for their analysis. The performance of these methods needs to be investigated under a number of experimental conditions. Procedures to simulate from ordinal variables are then required. In this article, we deal with simulation from…

Since 2010, the whole national cohort Key Stage 2 (KS2) National Curriculum test in science in England has been replaced with a sampling test taken by pupils at the age of 11 from a nationally representative sample of schools annually. The study reported in this paper compares the performance of different subgroups of the samples (classified by…

Being a part of an ethnic minority group and a student with a disability (SWD) often presents as a barrier to college retention and graduation rates among members of this marginalized group. Purpose: To examine educators' awareness of racial and institutional influences that impact African American SWD. Method: Data for this study were gathered…

This study simultaneously investigates personal and interpersonal traits that were found to be important factors of bullying behavior using data collected from 1,238 randomly selected Korean middle school students. Using a modified and expanded definition of bullying based on a more culturally sensitive approach to bullying, this study categorizes…

The success and quality of educational provision for children with SEN and/or disabilities is a matter of considerable debate, with wide differences reported by parents. Extant evidence is limited by sampling bias and size, making the true extent of (dis)satisfaction difficult to gauge. This paper reports systematic, comparative evidence from a…

Procedures developed by Joreskog for studying similarities and differences in factor structures between different groups were applied to data from a study by Thurstoen to investigate the sampling stability of a hypothesized isolated configuration. The hypothesis of an isolated configuration was rejected but not by much. (Author/RC)

The procedures involve a planned data gathering strategy consisting of at least two different groups, each receiving two different test batteries. A combination of Tucker's interbattery technique and congruence measures was the recommended strategy. Limitations of the concept of factor invariance are briefly discussed. (Author/BJG)

Both structural equation models and hierarchical linear models (HLMs) have been commonly used in multilevel analysis. This study utilized simulated data to investigate the power difference among 3 multilevel models: HLM, deviation structural equation models, and a hybrid approach of HLM and structural equation models. Two factors were examined:…

Sources of population heterogeneity may or may not be observed. If the sources of heterogeneity are observed (e.g., gender), the sample can be split into groups and the data analyzed with methods for multiple groups. If the sources of population heterogeneity are unobserved, the data can be analyzed with latent class models. Factor mixture models…

Populations of factorially simple and complex data were generated with first the oblique and orthogonal factor models, and then solutions based on special cases of the general orthomax criterion were compared on the basis of these characteristics. The results are discussed and implications noted. (DEP)

Examines the similarity between the coordinates which resulted when correlations were used as similarity measures and the factor loadings obtained by factor analyzing the same correlation matrix. Real data, a set of error free data, and some computer generated data containing deliberately introduced sampling error are analyzed. (RC)

Two population raw data matrices were constructed by computer simulation techniques. Each consisted of 10,000 subjects and 12 variables, and each was constructed according to an underlying factorial model consisting of four major common factors, eight minor common factors, and 12 unique factors. The computer simulation techniques were employed to…