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Tugay Kaçak; Abdullah Faruk Kiliç – International Journal of Assessment Tools in Education, 2025
Researchers continue to choose PCA in scale development and adaptation studies because it is the default setting and overestimates measurement quality. When PCA is utilized in investigations, the explained variance and factor loadings can be exaggerated. PCA, in contrast to the models given in the literature, should be investigated in…
Descriptors: Factor Analysis, Monte Carlo Methods, Mathematical Models, Sample Size
Xian, Sidong; Xia, Haibo; Yin, Yubo; Zhai, Zhansheng; Shang, Yan – Cogent Education, 2016
Teaching quality is the lifeline of the higher education. Many universities have made some effective achievement about evaluating the teaching quality. In this paper, we establish the Students' evaluation of teaching (SET) discriminant analysis model and algorithm based on principal component clustering analysis. Additionally, we classify the SET…
Descriptors: Discriminant Analysis, Factor Analysis, Student Evaluation of Teacher Performance, Instructional Effectiveness
Tran, Ulrich S.; Formann, Anton K. – Educational and Psychological Measurement, 2009
Parallel analysis has been shown to be suitable for dimensionality assessment in factor analysis of continuous variables. There have also been attempts to demonstrate that it may be used to uncover the factorial structure of binary variables conforming to the unidimensional normal ogive model. This article provides both theoretical and empirical…
Descriptors: Simulation, Factor Analysis, Correlation, Evaluation Methods
Drewes, Donald W. – Psychological Methods, 2009
A unifying theory of subject-centered scalability is offered that is grounded in structural true score modeling, is conceptually distinct from internal consistency and homogeneity as determined by item correlations, and is empirically confirmable. Scalability holds when item true scores are perfectly correlated but differ in their individual scale…
Descriptors: Rating Scales, Factor Analysis, True Scores, Mathematical Models
Peer reviewedMarsh, Herbert W.; Hocevar, Dennis – Journal of Educational Measurement, 1983
This paper describes a variety of confirmatory factor analysis models that provide improved tests of multitrait-multimethod matrices, and compares three different approaches (the original Campbell-Fiske guidelines, an analysis of variance model, and confirmatory factor analysis models). (PN)
Descriptors: Analysis of Variance, Comparative Analysis, Evaluation Methods, Factor Analysis
Peer reviewedKiers, Henk A. L. – Psychometrika, 1991
Several methods for the analysis of three-way data (data classified three ways) are described and shown to be variants of principal components analysis of the two-way supermatrix in which each two-way slice is strung out into a column vector. Direct fitting and fitting derived data are considered. (SLD)
Descriptors: Equations (Mathematics), Evaluation Methods, Factor Analysis, Goodness of Fit
Peer reviewedSubkoviak, Michael J. – Review of Educational Research, 1975
Illustrated is the power of multidimensional scaling in reducing a complex set of proximity measures to a simple geometric picture that shows the relationship among data objects. Methods are discussed for determining the number of dimensions needed to represent a set. (Author/DEP)
Descriptors: Educational Research, Evaluation Methods, Factor Analysis, Mathematical Models
Peer reviewedSorbom, Dag – Psychometrika, 1989
A modification index is presented to aid in reformulating hypothetical models rejected after analysis of empirical data. This index is an improvement over the one in the LISREL V computer program in that it takes into account changes in all parameters of the model when one parameter is freed. (SLD)
Descriptors: Equations (Mathematics), Evaluation Methods, Factor Analysis, Hypothesis Testing
Boruch, Robert F.; Wolins, Leroy – Educ Psychol Meas, 1970
If one is given three or more methods of measuring three or more traits, the procedure described allows one to assess the extent to which the observation is influenced by the method and the extent to which individual differences contribute to the observations, independent of the particular method-trait combination. The procedure is illustrated.…
Descriptors: Analysis of Variance, Correlation, Evaluation Methods, Factor Analysis
Peer reviewedO'Grady, Kevin E.; Medoff, Deborah R. – Multivariate Behavioral Research, 1991
A procedure for evaluating a variety of rater reliability models is presented. A multivariate linear model is used to describe and assess a set of ratings. Parameters are represented in terms of a factor analytic model, and maximum likelihood methods test the model parameters. Illustrative examples are presented. (SLD)
Descriptors: Comparative Analysis, Correlation, Equations (Mathematics), Estimation (Mathematics)
Merz, William R. – 1980
Several methods of assessing test item bias are described, and the concept of fair use of tests is examined. A test item is biased if individuals of equal ability have different probabilities of attaining the item correct. The following seven general procedures used to examine test items for bias are summarized and discussed: (1) analysis of…
Descriptors: Comparative Analysis, Evaluation Methods, Factor Analysis, Mathematical Models
Merz, William R.; Grossen, Neal E. – 1978
Six approaches to assessing test item bias were examined: transformed item difficulty, point biserial correlations, chi-square, factor analysis, one parameter item characteristic curve, and three parameter item characteristic curve. Data sets for analysis were generated by a Monte Carlo technique based on the three parameter model; thus, four…
Descriptors: Difficulty Level, Evaluation Methods, Factor Analysis, Item Analysis
Hanna, Gila; Lei, Hau – 1984
This paper discusses the use of the LISREL computer program to compare two groups of Ontario students who studied French as a second language in either a regular or an immersion program. Longitudinal data on growth in mathematical ability, from grade 4 to grade 6, are analyzed using seven different mathematical models. The paper illustrates the…
Descriptors: Analysis of Covariance, Computer Software, Elementary School Mathematics, Evaluation Methods
Cohen, Allan S., Comp. – 1979
This partially annotated bibliography of journal articles, dissertations, convention papers, research reports, and a few books and unpublished manuscripts provides a comprehensive coverage of work on latent trait theory and practice. Documents are arranged alphabetically by author. The period covered ranges from the early 1950's to the present.…
Descriptors: Attitude Measures, Career Development, Computer Assisted Testing, Computer Programs

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