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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
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Pfannkuch, Maxine; Budgett, Stephanie; Fewster, Rachel; Fitch, Marie; Pattenwise, Simeon; Wild, Chris; Ziedins, Ilze – Statistics Education Research Journal, 2016
Because new learning technologies are enabling students to build and explore probability models, we believe that there is a need to determine the big enduring ideas that underpin probabilistic thinking and modeling. By uncovering the elements of the thinking modes of expert users of probability models we aim to provide a base for the setting of…
Descriptors: Statistics, Probability, Teaching Methods, Foreign Countries
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Keller, Bryan S. B.; Kim, Jee-Seon; Steiner, Peter M. – Society for Research on Educational Effectiveness, 2013
Propensity score analysis (PSA) is a methodological technique which may correct for selection bias in a quasi-experiment by modeling the selection process using observed covariates. Because logistic regression is well understood by researchers in a variety of fields and easy to implement in a number of popular software packages, it has…
Descriptors: Probability, Scores, Statistical Analysis, Statistical Bias
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Nevin, John A. – Behavior Analyst, 2008
Radical behaviorism considers private events to be a part of ongoing observable behavior and to share the properties of public events. Although private events cannot be measured directly, their roles in overt action can be inferred from mathematical models that relate private responses to external stimuli and reinforcers according to the same…
Descriptors: Animals, Visual Stimuli, Food, Mathematical Models
McLean, Mick; Shepherd, Paul – Futures, 1976
Argues that conventional dynamic modeling techniques divert attention from the importance of model structure and discusses various methods of system representation that are suitable for the analysis and improvement of model structure. (Available from IPC (America) Inc., 205 East 42 Street, New York, NY 10017; $46.80 annually.) (Author/JG)
Descriptors: Data Analysis, Definitions, Mathematical Concepts, Mathematical Models
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Muthen, Bengt; Joreskog, Karl G. – Evaluation Review, 1983
Selectivity problems are discussed in terms of a general model that is estimated by the maximum likelihood method. Both single-group and multiple-group analyses are considered. An extension of the general model to latent variable models is discussed. (Author/PN)
Descriptors: Mathematical Models, Maximum Likelihood Statistics, Quasiexperimental Design, Research Methodology
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Schechter, Mordechai – Simulation and Games, 1971
Descriptors: Computer Programs, Computers, Cost Effectiveness, Mathematical Models
Blumberg, Carol Joyce; And Others – 1983
Various methods have been suggested for the analysis of data collected in research settings where random assignment of subjects to groups has not occurred. For the purposes of this paper the set of allowable nonrandomized designs is made up of those research designs where data are collected for one or more groups of subjects at two or more time…
Descriptors: Comparative Analysis, Control Groups, Data Analysis, Data Collection
Berstecher, D. – 1971
This pilot simulation study examines the important methodological problems involved in costing educational wastage, focusing specifically on the cost implications of educational wastage in primary education. Purpose of the study is to provide a clearer picture of the underlying rationale and interrelated consequences of reducing educational…
Descriptors: Cost Effectiveness, Educational Finance, Efficiency, Elementary Secondary Education
Folk, Michael – 1971
This paper explains some of the problems with, and their importance to the application of, the Cross-Impact Matrix (CIM). The CIM is a research method designed to serve as a heuristic device to enhance a person's ability to think about the future and as an analytical device to be used by planners to help in actually forecasting future occurrences.…
Descriptors: Decision Making, Educational Policy, Mathematical Models, Planning
Butler, Ronald W. – 1985
The dynamic linear model or Kalman filtering model provides a useful methodology for predicting the past, present, and future states of a dynamic system, such as an object in motion or an economic or social indicator that is changing systematically with time. Recursive likelihood methods for adaptive Kalman filtering and smoothing are developed.…
Descriptors: Algorithms, Estimation (Mathematics), Mathematical Models, Maximum Likelihood Statistics
Chuang, Ying C. – 1971
Simulation is defined and its use, as related to three types of models, iconic, analogue, and symbolic, that may be utilized in educational research is discussed. A five-step procedure is outlined that can be followed in the process of symbolic model construction. Simulation methods, based on these three models, are examined, and illustrations of…
Descriptors: Educational Research, Mathematical Models, Models, Research Design
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Linn, Robert L. – Educational and Psychological Measurement, 1971
Descriptors: Educational Environment, Educational Finance, Evaluation Methods, Expenditure per Student
McMurray, Mary Anne – 1987
This paper illustrates the transformation of a raw data matrix into a matrix of associations, and then into a factor matrix. Factor analysis attempts to distill the most important relationships among a set of variables, thereby permitting some theoretical simplification. In this heuristic data, a correlation matrix was derived to display…
Descriptors: Correlation, Factor Analysis, Factor Structure, Goodness of Fit
McKinley, Robert L.; Reckase, Mark D. – 1983
A latent trait model is described that is appropriate for use with tests that measure more than one dimension, and its application to both real and simulated test data is demonstrated. Procedures for estimating the parameters of the model are presented. The research objectives are to determine whether the two-parameter logistic model more…
Descriptors: Comparative Analysis, Data Analysis, Factor Analysis, Feasibility Studies
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