Exploratory analyses to improve model fit: Errors due to misspecification and a strategy to reduce their occurrence

Two Lagrange multiplier (LM) methods may be used in specification searches for adding parameters to models: one based on univariate LM tests and respecification of the model (LM‐respecified method) and the other based on a partitioning of multivariate LM tests (LM‐incremental method). These methods may result in extraneous parameters being included in models due to either sampling error or the model being misspecified. A 2‐stage specification search may be used to reduce errors due to misspecification. In the 1st stage, parameters are added to models based on LM tests to maximize fit. Second, parameters added in the 1st stage are deleted if they are no longer necessary to maintain model fit. Illustrations are presented to demonstrate that errors due to misspecification occur with the LM‐respecified method and are even more likely with the LM‐incremental approach. These illustrations also show how the deletion stage can help eliminate some of these errors.     

Principles and Practice of Scaled Difference Chi-Square Testing

We highlight critical conceptual and statistical issues and how to resolve them in conducting Satorra–Bentler (SB) scaled difference chi-square tests. Concerning the original (Satorra & Bentler, 2001 Satorra, A. and Bentler, P. M. 2001. A scaled difference chi-square test statistic for moment structure analysis. Psychometrika, 66: 507–514. [Crossref], [Web of Science ®] , [Google Scholar]) and new (Satorra & Bentler, 2010 Satorra, A. and Bentler, P. M. 2010. Ensuring positiveness of the scaled chi-square test statistic. Psychometrika, 75: 243–248. [Crossref], [Web of Science ®] , [Google Scholar]) scaled difference tests, a fundamental difference exists in how to compute properly a model's scaling correction factor (c), depending on the particular structural equation modeling software used. Because of how LISREL 8 defines the SB scaled chi-square, LISREL users should compute c for each model by dividing the model's normal theory weighted least-squares (NTWLS) chi-square by its SB chi-square, to recover c accurately with both tests. EQS and Mplus users, in contrast, should divide the model's maximum likelihood (ML) chi-square by its SB chi-square to recover c. Because ML estimation does not minimize the NTWLS chi-square, however, it can produce a negative difference in nested NTWLS chi-square values. Thus, we recommend the standard practice of testing the scaled difference in ML chi-square values for models M ₁ and M ₀ (after properly recovering c for each model), to avoid an inadmissible test numerator. We illustrate the difference in computations across software programs for the original and new scaled tests and provide LISREL, EQS, and Mplus syntax in both single- and multiple-group form for specifying the model M ₁₀ that is involved in the new test.     

Mixed Mode Latent Class Analysis: An Examination of Fit Index Performance for Classification

This Monte Carlo study examines the performance of fit indices commonly used by applied researchers interested in finite mixture modeling for the purposes of classification. Conditions for the simulation study were selected to reflect conditions found in applied educational and psychological research. The factors included in the investigation were metric level of indicators, sample size, and class prevalence. All models contained a combination of categorical and continuous indicators. All categorical indicators were dichotomous, and continuous indicators were normally distributed. The fit indices examined were Akaike’s information criterion, Bayesian information criterion (BIC), sample size-adjusted Bayesian information criterion (SSBIC), integrated classification likelihood criterion with Bayesian-type approximation, and Lo–Mendell–Rubin likelihood ratio test. Overall, SSBIC tended to identify the correct solution with higher frequency than other indices. BIC tended to identify the correct solution with higher frequency than the other indices in models with more continuous than categorical indicators, or when rare classes were absent.     

Technology User Groups and Early Childhood Education: A Preliminary Study

This article presents a preliminary examination of the potential of Technology User Groups as a professional development venue for early childhood education professionals in developing operational and functional competence in using hardware and software components of a Technology toolkit. Technology user groups are composed of varying numbers of participants having an interest in technology, and are led by one or more skilled facilitators who meet with participants across time to help them acquire and demonstrate new technology skill sets. A series of these groups were conducted with seven early education professionals serving young preschool children who were at risk or who had disabilities. The impact of these technology user groups was examined using self-reports subsequent to individual participation. Specific data were collected regarding the types of technologies that had been used, and the types of classroom instructional products that had been created and implemented in classrooms using the technologies. A discussion of the value of technology user groups is presented.     

Increasing Access to Higher Education Among Low-Income Students: The Washington State Achievers Program

The purpose of this study was to assess how a comprehensive precollege intervention and developmental program among low-income high school students contributed to college enrollment outcomes measured in 2006. Our focus was on the Fifth Cohort of the Washington State Achievers (WSA) Program, which provides financial, academic, and college preparation support to 500 high school students who come from the lowest 35% of Washington state income levels. One important feature of the WSA Program is that it provided funding for complete high school curriculum reform among 16 Washington high schools that have a high prevalence of low-income students. The data set contained three groups of students from these 16 high schools: Funded Achievers who were part of the WSA Program and received funding for college; Nonfunded Achievers who were part of the WSA Program and but did not receive funding for college; and Nonrecipients who were neither part of the WSA Program nor received funding for college. Results from generalized multinomial logistic models found two trends (a) early and continuous financial support for college along with being active in the WSA Program nearly guarantees enrollment in college and increases enrollment in 4-year and highly selective colleges; and (b) even in the absence of financial support for college there are still quantifiable and positive effects on college-going for just participating in the WSA Program and receiving its abundant nonfinancial resources and support. These results persist even with strong controls for selection, background, academic, financial, aspiration, and school-level variables.     

Social Networking: Engaging Prospective and Admitted African American and Other Minority Students Before They Arrive on Campus

With the effectiveness of traditional methods of connecting with incoming Wittenberg University minority students waning, Forest B. Wortham spans the virtual and physical worlds to help them find their place.     

The Effects of the Preschool Inclusion Program on Teacher Outcomes in Turkey

The aim of this study was to evaluate the effects of a teacher training program on teacher outcomes. The teachers’ knowledge and attitudes regarding inclusion, classroom management strategies, and their relationships with children both with and without disabilities were evaluated using self-report instruments. In addition, their classroom behaviors were evaluated by independent observers. The teacher education program included a variety of topics related to inclusion and effective strategies for inclusive classrooms. The data were collected prior to the education, after the completion of the program, and 6 months afterwards. The results indicated that the teacher program seemed to have moderate-to-large effects on all teacher outcomes, but the changes in their classroom behaviors were minimal.     

On Going (Way) Beyond One’s Data: A Proposal to Restrict Recommendations for Practice in Primary Educational Research Journals

To counteract what we see as a growing research-reporting concern, we propose the following editorial-policy change regarding the content of primary research articles in educational research journals: Contributors should restrict their discussion and conclusions to their data and not offer recommendations for educational practice nor speculate about the educational policy implications of their research. We believe that this change will be beneficial for maintaining a separation between evidence and opinion concerning the legitimate warrants of empirical research. We suggest viable accompaniments and alternatives to authors offering practical recommendations and policy speculations in primary-research journal articles. Among these is to rely on all sources of evidence, including systematic research syntheses based on the aggregated contribution of multiple research studies from different sources, with recommendations for practice tailored to specific situations so that both their validity and utility will be increased. It is hoped that our proposed policy change will initiate a conversation among researchers, editors, reviewers, and educational-policy experts with respect to the scope and purpose of primary research journal articles.     

Exploring the Underlying Factor Structure of the Parent Reading Belief Inventory (PRBI): Some Caveats

Although mainstream preschool programs have been in existence since the 1970s, little is known about the ways in which typical children attempt to understand what it means for a peer to have a disability. In this study, 4-year-old children without disabilities who were enrolled in a mainstream preschool class explained their peers' disabilities by referring to concepts of immaturity, accident, or adaptive equipment to account for the behavioral differences that they observed. The implications of these cognitions for children's developing attitudes and behaviors toward peers with disabilities are discussed.