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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

Bechger, Timo M.; Verstralen, Huub H. F. M.; Verhelst, Norma D. – Psychometrika, 2002
Discusses the Linear Logistic Test Model (LLTM) and demonstrates that there are many equivalent ways to specify a model. Analyzed a real data set (300 responses to 5 analogies) using a Lagrange multiplier test for the specification of the model, and demonstrated that there may be many ways to change the specification of an LLTM and achieve the…
Descriptors: Equations (Mathematics), Goodness of Fit, Item Response Theory, Mathematical Models

Cliff, Norman – Multivariate Behavioral Research, 1983
The dangers of overlooking time-honored cautions in the making causal interpretations of data analyses from correlational studies when using highly sophisticated computer programs and their associated techniques are discussed. (JKS)
Descriptors: Computer Programs, Goodness of Fit, Mathematical Models, Multivariate Analysis

Bosse, Michael J. – Mathematics Teacher, 2005
Modeling data behavior is differentiated from statistically determining a best-fit regression function, as it allows students to develop functions that hold certain attributes in respect to a set of data. Three techniques for developing polynomial models are demonstrated that afford students optional methods for determining appropriate polynomial…
Descriptors: Goodness of Fit, Mathematical Models, Mathematical Formulas, Mathematics Education

Hockley, William E.; Murdock, Bennet B., Jr. – Psychological Review, 1987
The model of the decision system in Murdock's two-stage memory- and-decision model for item recognition is developed and tested. The decision model is shown to be able to fit the accuracy and mean response latency data from four major recognition paradigms (Sternberg, study-test, continuous, and prememorized list). (Author/LMO)
Descriptors: Cognitive Processes, Decision Making, Goodness of Fit, Mathematical Models

Kingma, Johannes; Reuvekamp, Johan – Educational and Psychological Measurement, 1987
This paper describes a PASCAL program that computes both different types of transitions and learning statistics suitable for learning experiments in which a two-stage Markov model is used. The frequency counts of the different transitions are used for estimating the parameters of the two-stage Markov model. (Author/LMO)
Descriptors: Computer Software Reviews, Error of Measurement, Goodness of Fit, Input Output
Monte Carlo Based Null Distribution for an Alternative Goodness-of-Fit Test Statistic in IRT Models.

Stone, Clement A. – Journal of Educational Measurement, 2000
Describes a goodness-of-fit statistic that considers the imprecision with which ability is estimated and involves constructing item fit tables based on each examinee's posterior distribution of ability, given the likelihood of the response pattern and an assumed marginal ability distribution. Also describes a Monte Carlo resampling procedure to…
Descriptors: Goodness of Fit, Item Response Theory, Mathematical Models, Monte Carlo Methods
Engelhard, George, Jr.; Osberg, David W. – 1981
The purpose of this study is to present and illustrate the application of a general linear model for the analysis of test networks based on Rasch measurement models. Test networks can be used to vertically equate a set of tests which cover a wide range of difficulties. The criteria of coherence and consistency are proposed in order to assess the…
Descriptors: Achievement Tests, Elementary Secondary Education, Equated Scores, Goodness of Fit
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