Keywords
CFA, Alignment-within-CFA, Scalar, Metric, Noninvariance, Invariance
Abstract
The need for research instruments adaptable to culturally diverse populations has grown with globalization and digital connectivity. Ensuring measurement invariance (MI) is crucial for generating accurate and comparable scores, especially in comparative studies. Traditional approaches like Multi-Group Confirmatory Factor Analysis (MG-CFA) often involve intricate procedures and can become unwieldy when adjustments for partial invariance are needed. The Alignment-within-CFA (AwC) method emerged as a promising alternative, designed to approximate group-specific factors and produce latent variables with uniform metrics. This study rigorously compares the AwC method and traditional MG-CFA across moderate numbers of groups (3, 4, and 5) under various conditions of noninvariance and sample sizes. By employing Monte Carlo simulations, the study controls study variables and explores a wide range of hypothetical scenarios, enhancing the precision and reliability of MI testing. The findings indicate that the AwC method is similar to or superior to the step-wise partial invariance approach, offering accurate and consistent results in varied scenarios. Specifically, the study examines the conditions under which AwC outperforms traditional MG-CFA and investigates the impact of factors such as different types of invariance, number of groups, and sample size on bias and model fit. This research provides deeper insights into the strengths and limitations of each method, guiding researchers in selecting the most appropriate approach for their specific contexts. The results support the use of the AwC method in scenarios where minimizing bias and error in parameter estimates is critical, paving the way for more streamlined and effective research amidst increasing global diversity.
Completion Date
2024
Semester
Summer
Committee Chair
Sivo, Stephen
Degree
Doctor of Philosophy (Ph.D.)
College
College of Community Innovation and Education
Department
Learning Sciences and Educational Research
Degree Program
Methodology, Measurement & Analysis
Format
application/pdf
Identifier
DP0028628
URL
https://purls.library.ucf.edu/go/DP0028628
Language
English
Rights
In copyright
Release Date
August 2027
Length of Campus-only Access
3 years
Access Status
Doctoral Dissertation (Campus-only Access)
Campus Location
Orlando (Main) Campus
STARS Citation
Tazi, Yacine, "A Monte Carlo Study on the Applicability of Alignment-Within-CFA Versus MG-CFA for Moderate Group Sizes" (2024). Graduate Thesis and Dissertation 2023-2024. 425.
https://stars.library.ucf.edu/etd2023/425
Accessibility Status
Meets minimum standards for ETDs/HUTs
Restricted to the UCF community until August 2027; it will then be open access.