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Kentaro Hayashi; Ke-Hai Yuan; Peter M. Bentler – Grantee Submission, 2025
Most existing studies on the relationship between factor analysis (FA) and principal component analysis (PCA) focus on approximating the common factors by the first few components via the closeness between their loadings. Based on a setup in Bentler and de Leeuw (Psychometrika 76:461-470, 2011), this study examines the relationship between FA…
Descriptors: Factor Analysis, Comparative Analysis, Correlation, Evaluation Criteria
Lingbo Tong; Wen Qu; Zhiyong Zhang – Grantee Submission, 2025
Factor analysis is widely utilized to identify latent factors underlying the observed variables. This paper presents a comprehensive comparative study of two widely used methods for determining the optimal number of factors in factor analysis, the K1 rule, and parallel analysis, along with a more recently developed method, the bass-ackward method.…
Descriptors: Factor Analysis, Monte Carlo Methods, Statistical Analysis, Sample Size
Abdullah Alamer; Mark Feng Teng; Atsushi Mizumoto – Applied Linguistics, 2025
Research into self-regulating capacity in vocabulary learning is recognized as a significant topic within the second language domain. The self-regulating capacity in vocabulary learning scale (SRCvoc; Tseng et al. 2006) is arguably the most widely used tool for assessing this construct. The common factor model, which is applied through…
Descriptors: Construct Validity, Language Proficiency, Vocabulary Skills, Factor Analysis
Yanjing Cao; Chenchen Xu; Shan Lu; Qi Li; Jing Xiao – Psychology in the Schools, 2025
The patient health questionnaire-9 (PHQ-9) is widely utilized in assessing individuals' depression levels. Nevertheless, research regarding its factor structure and measurement invariance remains inadequate. The aim of this study was to delve into the factor structure of the PHQ-9 and to further investigate its measurement invariance across gender…
Descriptors: Factor Structure, Error of Measurement, Factor Analysis, Age Differences
Maritza Casas; Stephen G. Sireci – International Journal of Testing, 2025
In this study, we take a critical look at the degree to which the measurement of bullying and sense of belonging at school is invariant across groups of students defined by immigrant status. Our study focuses on the invariance of these constructs as measured on a recent PISA administration and includes a discussion of two statistical methods for…
Descriptors: Error of Measurement, Immigrants, Peer Groups, Bullying
John B. Buncher; Jayson M. Nissen; Ben Van Dusen; Robert M. Talbot – Physical Review Physics Education Research, 2025
Research-based assessments (RBAs) allow researchers and practitioners to compare student performance across different contexts and institutions. In recent years, research attention has focused on the student populations these RBAs were initially developed with because much of that research was done with "samples of convenience" that were…
Descriptors: Science Tests, Physics, Comparative Analysis, Gender Differences