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Yan Xia; Xinchang Zhou – Educational and Psychological Measurement, 2025
Parallel analysis has been considered one of the most accurate methods for determining the number of factors in factor analysis. One major advantage of parallel analysis over traditional factor retention methods (e.g., Kaiser's rule) is that it addresses the sampling variability of eigenvalues obtained from the identity matrix, representing the…
Descriptors: Factor Analysis, Statistical Analysis, Evaluation Methods, Sampling
Ting Dai; Yang Du; Jennifer Cromley; Tia Fechter; Frank Nelson – Journal of Experimental Education, 2024
Simple matrix sampling planned missing (SMS PD) design, introduce missing data patterns that lead to covariances between variables that are not jointly observed, and create difficulties for analyses other than mean and variance estimations. Based on prior research, we adopted a new multigroup confirmatory factor analysis (CFA) approach to handle…
Descriptors: Research Problems, Research Design, Data, Matrices
Koran, Jennifer – Measurement and Evaluation in Counseling and Development, 2016
Proactive preliminary minimum sample size determination can be useful for the early planning stages of a latent variable modeling study to set a realistic scope, long before the model and population are finalized. This study examined existing methods and proposed a new method for proactive preliminary minimum sample size determination.
Descriptors: Factor Analysis, Sample Size, Models, Sampling
Yagiz, Oktay; Aydin, Burcu; Akdemir, Ahmet Selçuk – Journal of Language and Linguistic Studies, 2016
This study reviews a selected sample of 274 research articles on ELT, published between 2005 and 2015 in Turkish contexts. In the study, 15 journals in ULAKBIM database and articles from national and international journals accessed according to convenience sampling method were surveyed and relevant articles were obtained. A content analysis was…
Descriptors: Journal Articles, Periodicals, Content Analysis, Research Design
St. Louis, Kenneth O. – Journal of Communication Disorders, 2012
This paper summarizes research associated with the development of the "Public Opinion Survey of Human Attributes-Stuttering" ("POSHA-S"), a survey instrument designed to provide a worldwide standard measure of public attitudes toward stuttering. Pilot studies with early experimental prototypes of the "POSHA-S" are summarized that relate to…
Descriptors: Research and Development, Stuttering, Construct Validity, Validity

Lanning, Kevin – Multivariate Behavioral Research, 1996
Effects of sample size and composition are systematically examined on the replicability of principal components, using observer ratings of personality from the California Adult Q-Set for 192 series of principal components analyses. Results indicate that dimensionality cannot be inferred from component robustness; they are empirically and logically…
Descriptors: Factor Analysis, Personality Measures, Robustness (Statistics), Sample Size
Dziuban, Charles D.; And Others – 1976
The distributional characteristics of the Kaiser-Rice measure of sampling adequacy (MSA) were investigated with sample correlation matrices from multivariate normal populations where the level of correlation (LC) was systematically varied. Two additional variables were manipulated--sample size (SS) and number of variables (NV). Ten matrices were…
Descriptors: Analysis of Variance, Correlation, Factor Analysis, Matrices
Aleamoni, Lawrence M. – 1974
The relationship of sample size to number of variables in the use of factor analysis has been treated by many investigators. In attempting to explore what the minimum sample size should be, none of these investigators pointed out the constraints imposed on the dimensionality of the variables by using a sample size smaller than the number of…
Descriptors: Correlation, Factor Analysis, Factor Structure, Matrices
Zhang, Duan; Willson, Victor L. – Structural Equation Modeling: A Multidisciplinary Journal, 2006
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:…
Descriptors: Comparative Analysis, Structural Equation Models, Interaction, Simulation
Broadbooks, Wendy J.; Elmore, Patricia B. – 1983
This study developed and investigated an empirical sampling distribution of the congruence coefficient. The effects of sample size, number of variables, and population value of the congruence coefficient on the sampling distribution of the congruence coefficient were examined. Sample data were generated on the basis of the common factor model and…
Descriptors: Factor Analysis, Goodness of Fit, Hypothesis Testing, Research Methodology

Loo, Robert – Perceptual and Motor Skills, 1983
In examining considerations in determining sample sizes for factor analyses, attention was given to the effects of outliers; the standard error of correlations, and their effect on factor structure; sample heterogeneity; and the misuse of rules of thumb for sample sizes. (Author)
Descriptors: Correlation, Error of Measurement, Evaluation Methods, Factor Analysis

Anderson, James C.; Gerbing, David W. – Psychometrika, 1984
This study of maximum likelihood confirmatory factor analysis found effects of practical significance due to sample size, the number of indicators per factor, and the number of factors for Joreskog and Sorbom's (1981) goodness-of-fit index (GFI), GFI adjusted for degrees of freedom, and the root mean square residual. (Author/BW)
Descriptors: Factor Analysis, Factor Structure, Goodness of Fit, Mathematical Models

Broodbooks, Wendy J.; Elmore, Patricia B. – Educational and Psychological Measurement, 1987
The effects of sample size, number of variables, and population value of the congruence coefficient on the sampling distribution of the congruence coefficient were examined. Sample data were generated on the basis of the common factor model, and principal axes factor analyses were performed. (Author/LMO)
Descriptors: Factor Analysis, Mathematical Models, Monte Carlo Methods, Predictor Variables
Lipson, Kay – Mathematics Education Research Journal, 2003
Many statistics educators believe that few students develop the level of conceptual understanding essential for them to apply correctly the statistical techniques at their disposal and to interpret their outcomes appropriately. It is also commonly believed that the sampling distribution plays an important role in developing this understanding.…
Descriptors: Statistical Inference, Learning Strategies, Sampling, Statistics
Pollicino, Elizabeth B. – 1998
This paper outlines procedures used to derive variables from data in the National Survey of Postsecondary Faculty; these variables were then used to create measures not expressly included as items in that survey. The derived variables were used to examine faculty satisfaction in two contexts: first, the complexity of satisfaction, and second, the…
Descriptors: College Faculty, Factor Analysis, Faculty College Relationship, Higher Education