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Rivera, F. D. – Educational Studies in Mathematics, 2010
In this research article, I present evidence of the existence of visual templates in pattern generalization activity. Such templates initially emerged from a 3-week design-driven classroom teaching experiment on pattern generalization involving linear figural patterns and were assessed for existence in a clinical interview that was conducted four…
Descriptors: Mathematical Concepts, Generalization, Interviews, Models
Mooijaart, Ab; Satorra, Albert – Psychometrika, 2009
In this paper, we show that for some structural equation models (SEM), the classical chi-square goodness-of-fit test is unable to detect the presence of nonlinear terms in the model. As an example, we consider a regression model with latent variables and interactions terms. Not only the model test has zero power against that type of…
Descriptors: Structural Equation Models, Geometric Concepts, Goodness of Fit, Models
Bauer, Daniel J. – Psychometrika, 2009
When using linear models for cluster-correlated or longitudinal data, a common modeling practice is to begin by fitting a relatively simple model and then to increase the model complexity in steps. New predictors might be added to the model, or a more complex covariance structure might be specified for the observations. When fitting models for…
Descriptors: Goodness of Fit, Computation, Models, Predictor Variables
Graham, James M. – Educational and Psychological Measurement, 2006
Coefficient alpha, the most commonly used estimate of internal consistency, is often considered a lower bound estimate of reliability, though the extent of its underestimation is not typically known. Many researchers are unaware that coefficient alpha is based on the essentially tau-equivalent measurement model. It is the violation of the…
Descriptors: Models, Test Theory, Reliability, Structural Equation Models
Werts, Charles E.; Linn, Robert L. – 1972
The Werts-Linn procedure for dealing with categorical errors of measurement in "Comments on Boyle's 'Path Analysis and Ordinal Data'" in The American Journal of Sociology, volume 76, number 6, May 1971, is shown to be inappropriate to the problem of ordered categories. (For related document, see TM 002 301.) (DB)
Descriptors: Data Analysis, Error of Measurement, Goodness of Fit, Mathematical Models
Werts, Charles E.; And Others – 1972
A stochastic disturbance term appears to be essential for structural models in the social sciences. The analysis of such models is considered from the perspective of Joreskog's (1970) general model for the analysis of covariance structure. (For related document, see TM 002 301.) (Author)
Descriptors: Analysis of Covariance, Error of Measurement, Goodness of Fit, Linear Programing
Hattie, John; Fitzgerald, Don – 1979
Four alternative theoretical models of intellectual competence were assessed, using confirmatory factor analysis to account for the correlation patterns derived from Wechsler intelligence tests. It was argued that the difference between the chi-square goodness of fit statistics that are provided when using confirmatory factor analysis gives a…
Descriptors: Cognitive Ability, Cognitive Processes, Elementary Secondary Education, Factor Structure

Andersen, Erling B. – 1972
A computer program for solving the conditional likelihood equations arising in the Rasch model for questionnaires is described. The estimation method and the computational problems involved are described in a previous research report by Andersen, but a summary of those results are given in two sections of this paper. A working example is also…
Descriptors: Computer Programs, Data Processing, Evaluation, Goodness of Fit
Allerup, Peter – 1985
Approximately 1200 Danish school children aged 8, 11, and 14 participated in a questionnaire study under the caption, "Why I like to read." Data from Denmark formed part of an international study, in which 12 other countries used the same questionnaire to explore various functions of reading and to compare them over different countries.…
Descriptors: Data Collection, Elementary Education, Factor Analysis, Foreign Countries
Wish, John R.; Hamilton, William D. – 1979
The viability of Freeman's Recursive Adjustment Model as a management tool for explaining and predicting enrollments and the job market is examined using macro and micro cases. To establish a relationship between college attendance and the college job market, Freeman employed a 3-equation model to analyze the causative supply and demand…
Descriptors: College Attendance, College Graduates, Conference Reports, Education Work Relationship