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Rellensmann, Johanna; Schukajlow, Stanislaw; Leopold, Claudia – Educational Studies in Mathematics, 2017
Drawing strategies are widely used as a powerful tool for promoting students' learning and problem solving. In this article, we report the results of an inferential mediation analysis that was applied to investigate the roles that strategic knowledge about drawing and the accuracy of different types of drawings play in mathematical modelling…
Descriptors: Mathematical Models, Freehand Drawing, Mathematics Instruction, Mathematics Achievement
Wolf, Nancy Butler – ProQuest LLC, 2013
Educational reform is most likely to be successful when teachers are knowledgeable about the intended reform, and when their concerns about the reform are understood and addressed. The Common Core State Standards (CCSS) is an effort to establish a set of nationwide expectations for students and teachers. This study examined teacher understanding…
Descriptors: Elementary School Teachers, Secondary School Teachers, Mathematical Models, State Standards
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Rindskopf, David – Psychometrika, 1984
Using LISREL, the only types of constraints allowed are fixing parameters at a constant value and constraining parameters to be equal. In this paper, two new concepts ("phantom" and "imaginary" latent variables) are introduced which allow fairly general equality and inequality constraints on factor loadings and structural model…
Descriptors: Computer Software, Factor Analysis, Mathematical Models, Path Analysis
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Lewis-Beck, Michael S. – American Political Science Review, 1977
Argues that comparison of "effects coefficients" derived from path analysis is the preferred method of assessing the relative impact of different independent variables on a given dependent variable. Available from: American Political Science Association, 1527 New Hampshire Avenue, N.W., Washington, DC 20036; $10.50 single copy.…
Descriptors: Mathematical Models, Path Analysis, Political Influences, Public Policy
Darom, Efraim – 1982
In an analysis of multitrait-multimethod matrices the criteria for discriminant validity are shown to include a "structure" criterion as an invariance of traits structure to methods. The criterion is meant to fit data to an additive model with traits and methods but not interaction terms. The importance of the structure criterion and the…
Descriptors: Discriminant Analysis, Evaluation Methods, Factor Structure, Mathematical Models
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Bentler, P. M.; Lee, Sik-Yum – Journal of Educational Statistics, 1983
A method for the estimation of covariance structure models under polynomial constraints (such as quadratic constraints) is presented. Estimation is on maximum likelihood principles, and the test statistics, parameter estimates, and standard errors are based on a statistical theory which takes the constraints into account. (Author/JKS)
Descriptors: Analysis of Covariance, Correlation, Estimation (Mathematics), Factor Analysis
Wolfle, Lee M. – 1982
Direct and indirect effects in decomposed zero-order correlations among variables in causal models are considered. Under certain circumstances, the components of the decompositions could be interpreted as direct, indirect, and spurious causal effects, plus a component called joint associations. The sum of the direct and indirect effects is the…
Descriptors: Elementary Secondary Education, Estimation (Mathematics), Mathematical Formulas, Mathematical Models
Magidson, Jay – Evaluation Quarterly, 1977
Path analysis was used to reevaluate the analysis of covariance quasiexperimental study of the effectiveness of the Head Start program. Contrary to the original analysis, the alternative approach yields small positive estimates of effect. (Author/CTM)
Descriptors: Analysis of Covariance, Factor Analysis, Mathematical Models, Path Analysis
LAND, KENNETH C. – 1967
THIS REPORT PRESENTS A DISCUSSION OF 2 TECHNIQUES WHICH CAN BE USED TO REPRESENT AND INTERPRET MULTIVARIATE STATISTICAL SYSTEMS WHEN IT IS FELT THAT THERE ARE CAUSAL RELATIONS BETWEEN SOME OF THE VARIABLES. THE BASIC TECHNIQUE IS PATH ANALYSIS AND THE OTHER IS ITS EXTENSION THROUGH THE USE OF RECURSIVE SYSTEMS OF EQUATIONS. THE ANALYSIS IS…
Descriptors: Analysis of Variance, Correlation, Linear Programing, Mathematical Applications
Wiley, David E.; Hornik, Robert – 1973
Early procedures for the analysis of multivariate panel data do not rest on well-specified statistical models. Recent approaches based on path analysis suffer from the defects of variable standardization and lack of attention to measurement error. The paper formulates a measurement model for quantitatively scaled multivariate panel data. The model…
Descriptors: Data Analysis, Error of Measurement, Longitudinal Studies, Mathematical Models
Conran, Patricia C.; Beauchamp, George A. – 1975
This study, the fourth in a series of longitudinal studies, investigates causal and other relationships between leadership, teacher, and student variables in curriculum engineering. Measures were taken on leadership, teacher attitudes and performance, and student performance. A causal time-series model and path analysis were used to demonstrate…
Descriptors: Academic Achievement, Curriculum Development, Curriculum Evaluation, Elementary Education
WERTS, CHARLES E. – 1967
THIS STUDY ATTEMPTS TO DEMONSTRATE THAT PATH ANALYSIS IS A VALUABLE TOOL FOR INTERPRETING CORRELATIONS IN A CAUSAL SENSE. PATH ANALYSIS IS APPLIED TO A NONEXPERIMENTAL, PANEL SURVEY IN AN EFFORT TO DETERMINE WHETHER THE MORE SELECTIVE OR LESS SELECTIVE COLLEGES HAD A DIFFERENTIAL IMPACT ON THE EDUCATIONAL PLANS OF THEIR STUDENTS. THE PROBLEM IS TO…
Descriptors: Academic Ability, College Admission, College Environment, College Freshmen
Crowder, N. David – 1971
Duncan's interpretation of his research on the nature and process of the distribution of rewards in the U.S. stratification system is questioned. Statistical and conceptual flaws are noted in Duncan's work and their implications explored. A reanalysis of primary survey data is presented and, based on a reinterpretation of this data, a…
Descriptors: Academic Achievement, Data Analysis, Doctoral Dissertations, Economic Research
Noonan, Richard; Wold, Herman – Evaluation in Education: An International Review Series, 1983
Tries to develop a method for empirical evaluations of the impact of a school system on measurable cognitive and affective outcomes in students. Concentrates on the Partial Least Squares (PLS) methodology, and illustrates the potential of PLS for system analysis. (BW)
Descriptors: Academic Achievement, Data Analysis, Elementary Secondary Education, Evaluation Methods