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Tenko Raykov; Lisa Calvocoressi; Randall E. Schumacker – Measurement: Interdisciplinary Research and Perspectives, 2024
This paper is concerned with the process of selecting between the increasingly popular bi-factor model and the second-order factor model in measurement research. It is indicated that in certain settings widely used in empirical studies, the second-order model is nested in the bi-factor model and obtained from the latter after imposing appropriate…
Descriptors: Factor Analysis, Decision Making, Computer Software, Measurement Techniques
Raykov, Tenko; Anthony, James C.; Menold, Natalja – Educational and Psychological Measurement, 2023
The population relationship between coefficient alpha and scale reliability is studied in the widely used setting of unidimensional multicomponent measuring instruments. It is demonstrated that for any set of component loadings on the common factor, regardless of the extent of their inequality, the discrepancy between alpha and reliability can be…
Descriptors: Correlation, Evaluation Research, Reliability, Measurement Techniques
Raykov, Tenko; DiStefano, Christine; Calvocoressi, Lisa; Volker, Martin – Educational and Psychological Measurement, 2022
A class of effect size indices are discussed that evaluate the degree to which two nested confirmatory factor analysis models differ from each other in terms of fit to a set of observed variables. These descriptive effect measures can be used to quantify the impact of parameter restrictions imposed in an initially considered model and are free…
Descriptors: Effect Size, Models, Measurement Techniques, Factor Analysis
Ferrando, Pere J.; Lorenzo-Seva, Urbano – Educational and Psychological Measurement, 2019
Measures initially designed to be single-trait often yield data that are compatible with both an essentially unidimensional factor-analysis (FA) solution and a correlated-factors solution. For these cases, this article proposes an approach aimed at providing information for deciding which of the two solutions is the most appropriate and useful.…
Descriptors: Factor Analysis, Computation, Reliability, Goodness of Fit
Ferrando, Pere Joan; Lorenzo-Seva, Urbano – Educational and Psychological Measurement, 2019
Many psychometric measures yield data that are compatible with (a) an essentially unidimensional factor analysis solution and (b) a correlated-factor solution. Deciding which of these structures is the most appropriate and useful is of considerable importance, and various procedures have been proposed to help in this decision. The only fully…
Descriptors: Validity, Models, Correlation, Factor Analysis
Raykov, Tenko; Marcoulides, George A.; Li, Tenglong – Educational and Psychological Measurement, 2018
This note extends the results in the 2016 article by Raykov, Marcoulides, and Li to the case of correlated errors in a set of observed measures subjected to principal component analysis. It is shown that when at least two measures are fallible, the probability is zero for any principal component--and in particular for the first principal…
Descriptors: Factor Analysis, Error of Measurement, Correlation, Reliability
Jantassova, Damira; Churchill, Daniel; Kozhanbergenova, Aigerim; Shebalina, Olga – Education Sciences, 2021
This article discusses the internationalization capacity building project at the Karaganda Technical University ('KTU') in Kazakhstan. The project, entitled "Capacity building for the internationalization of a technical university by means of digital learning technologies," was supported by the fund "Scientific foundations…
Descriptors: Capacity Building, Global Approach, Technical Institutes, Universities
Goodwin, Amanda P.; Petscher, Yaacov; Reynolds, Dan; Lantos, Tess; Gould, Sara; Tock, Jamie – Education Sciences, 2018
The history of vocabulary research has specified a rich and complex construct, resulting in calls for vocabulary research, assessment, and instruction to take into account the complex problem space of vocabulary. At the intersection of vocabulary theory and assessment modeling, this paper suggests a suite of modeling techniques that model the…
Descriptors: Factor Analysis, Correlation, Language Tests, Standardized Tests
Goodwin, Amanda P.; Petscher, Yaacov; Reynolds, Dan; Lantos, Tess; Gould, Sara; Tock, Jamie – Grantee Submission, 2018
The history of vocabulary research has specified a rich and complex construct, resulting in calls for vocabulary research, assessment, and instruction to take into account the complex problem space of vocabulary. At the intersection of vocabulary theory and assessment modeling, this paper suggests a suite of modeling techniques that model the…
Descriptors: Factor Analysis, Correlation, Language Tests, Standardized Tests
Huang, Francis L. – School Psychology Quarterly, 2018
The use of multilevel modeling (MLM) to analyze nested data has grown in popularity over the years in the study of school psychology. However, with the increase in use, several statistical misconceptions about the technique have also proliferated. We discuss some commonly cited myths and golden rules related to the use of MLM, explain their…
Descriptors: Hierarchical Linear Modeling, School Psychology, Misconceptions, Correlation
Nagy, Gabriel; Brunner, Martin; Lüdtke, Oliver; Greiff, Samuel – Journal of Experimental Education, 2017
We present factor extension procedures for confirmatory factor analysis that provide estimates of the relations of common and unique factors with external variables that do not undergo factor analysis. We present identification strategies that build upon restrictions of the pattern of correlations between unique factors and external variables. The…
Descriptors: Factor Analysis, Evaluation Methods, Identification, Correlation
Sidou, Lais Feltrin; Borges, Endler Marcel – Journal of Chemical Education, 2020
Principal component analysis (PCA) is one of the most important and powerful methods in chemometrics as well as in a wealth of other areas. Running a PCA results in two main elements, the score plot and the loading plot; the score plot provides the location of the samples, and the loading plot indicates correlations among variables, the trends in…
Descriptors: Factor Analysis, Chemistry, Science Instruction, Teaching Methods
Andrich, David – Educational Measurement: Issues and Practice, 2016
Since Cronbach's (1951) elaboration of a from its introduction by Guttman (1945), this coefficient has become ubiquitous in characterizing assessment instruments in education, psychology, and other social sciences. Also ubiquitous are caveats on the calculation and interpretation of this coefficient. This article summarizes a recent contribution…
Descriptors: Computation, Correlation, Test Theory, Measures (Individuals)
Valencia-Arias, Alejandro; Chalela-Naffah, Salim; Bermúdez-Hernández, Jonathan – Education and Information Technologies, 2019
The incorporation of information and communications technology (ICT) in teaching and learning processes has created new challenges for administrative and academic processes in educational institutions. This paper proposes an E-Learning Tools Acceptance Model (eLTAM) with the purpose of examining the level of acceptance and critical factors of…
Descriptors: Electronic Learning, Developing Nations, Information Technology, Teaching Methods
Vaske, Jerry J. – Sagamore-Venture, 2019
Data collected from surveys can result in hundreds of variables and thousands of respondents. This implies that time and energy must be devoted to (a) carefully entering the data into a database, (b) running preliminary analyses to identify any problems (e.g., missing data, potential outliers), (c) checking the reliability and validity of the…
Descriptors: Surveys, Theories, Hypothesis Testing, Effect Size