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Gibbons, Alanna; Lyublinskaya, Irina – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
Existing studies have defined and assessed disciplinary literacy, mathematical literacy, and general academic language. However, there is a need to define and assess mathematics discipline-specific language (MDL), particularly for elementary school teachers. Therefore, the purpose of this study was to develop a research instrument to assess the…
Descriptors: Mathematics Instruction, Mathematics Skills, Academic Language, Elementary School Students
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
Pavlik, Philip I., Jr.; Yudelson, Michael; Koedinger, Kenneth R. – Society for Research on Educational Effectiveness, 2011
The objective of this research was to better understand the transfer of learning between different variations of pre-algebra problems. While the authors could have addressed a specific variation that might address transfer, they were interested in developing a general model of transfer, so we gathered data from multiple problem types and their…
Descriptors: Transfer of Training, Item Analysis, Educational Technology, Algebra

Howard, Ann; Carroll, Robert M. – Educational and Psychological Measurement, 1977
The Activity Vector Analysis is a short personality measure, widely used in industry for personnel selection, placement and assessment. This paper questions the statistical basis of the measure as it has appeared in the literature. Recommendations are made for revision of the measure and for resolution of theoretical incongruencies. (Author/JKS)
Descriptors: Correlation, Factor Analysis, Mathematical Models, Measurement Techniques
DARROCH, JOHN N. – 1966
TO DEVELOP A BETTER MATHEMATICAL BASIS FOR FACTOR ANALYSIS, A MATHEMATICAL APPROACH WAS FORMULATED FOR FIXING COMMUNALITIES AND THEIR COMPLEMENTS, UNIQUENESSES, AS WELL. WHILE THE INVESTIGATOR WAS UNABLE TO PROVE THAT MINIMUM-TRACE CRITERIA FIX COMMUNALITIES UNIQUELY, A SET OF IDENTITIES AND INEQUALITIES WAS LOCATED AMONG THE COMMUNALITIES AND,…
Descriptors: Computation, Educational Research, Factor Analysis, Mathematical Applications

Cohen, Jacob – Educational and Psychological Measurement, 1973
Comments based on J. J. Kennedy's The eta coefficient in complex ANOVA designs,'' EJ 031 388. (CB)
Descriptors: Analysis of Variance, Factor Analysis, Mathematical Models, Measurement Techniques

Werts, Charles E.; And Others – Educational and Psychological Measurement, 1972
Focus of this paper is on the logic of the model rather than the estimation of parameters or testing the fit of the model to data. (Authors/MB)
Descriptors: Analysis of Covariance, Factor Analysis, Growth Patterns, Mathematical Models

Friedman, David – Educational and Psychological Measurement, 1972
Study examined models for improving prediction of single and multiple criteria. (Author)
Descriptors: Factor Analysis, Grade 8, Mathematical Models, Measurement Techniques

Marsh, Herbert W. – Journal of Educational Measurement, 1987
This investigation tested the ability of an a priori hierarchical structure of self-concept derived from the Shavelson model to explain responses to the Self Description Questionnaire (SDQ) III, and demonstrated the application and problems with the use of hierarchical confirmatory factor analysis (HCFA). (Author/JAZ)
Descriptors: Factor Analysis, Factor Structure, Goodness of Fit, Mathematical Models

Tucker, Ledyard R. – Educational and Psychological Measurement, 1973
The inter-battery factor analysis model for predictive systems appears to offer a useful formalization of these systems and provides some guides for the development of the system. (Author)
Descriptors: Analysis of Covariance, Data Collection, Factor Analysis, Mathematical Models
Thompson, Bruce; Borrello, Gloria M. – 1990
The application and utility of confirmatory second-order factor analytic methods are discussed. Factor analysis is central to concerns regarding measurement validity. Confirmatory methods are especially useful because they explicitly consider measurement error influences and because the methods are inherently theory-driven and theory-oriented.…
Descriptors: Case Studies, Data Analysis, Factor Analysis, Graduate Students
McKinley, Robert L.; Reckase, Mark D. – 1982
The usefulness of the general Rasch model for multidimensional data, from the most simple formulations to the more complex versions of the model, is explored. Also investigated was whether the parameters of the models could be readily interpreted. Models investigated included: (1) the vector model; (2) the product term model; (3) the vector and…
Descriptors: Data Analysis, Factor Analysis, Goodness of Fit, Latent Trait Theory

Larsson, Bernt – 1974
This report gives some simple examples of stability for one factor and 2 x 2 factorial analysis of variance, reliability and correlations. The findings are very different: from superstability (no transformation whatsoever can change the result) to almost total instability. This is followed by a discussion of applications to multivariate analysis,…
Descriptors: Analysis of Variance, Correlation, Discriminant Analysis, Factor Analysis
Gleser, Leon Jay – 1971
An attempt is made to indicate why the concept of "true score" naturally leads to the belief that test validity must increase with an increase in test and/or average item reliability, and why this is correct for the classical single-factor model first introduced by Spearman. The statistical model used by Loevinger is introduced to…
Descriptors: Factor Analysis, Item Analysis, Mathematical Models, Measurement Techniques
Wothke, Werner – 1987
Several multivariate statistical methodologies have been proposed to ensure objective and quantitative evaluation of the multitrait-multimethod matrix. The paper examines the performance of confirmatory factor analysis and covariance component models. It is shown, both empirically and formally, that confirmatory factor analysis is not a reliable…
Descriptors: Analysis of Covariance, Correlation, Estimation (Mathematics), Factor Analysis
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