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Paek, Insu; Park, Hyun-Jeong; Cai, Li; Chi, Eunlim – Educational and Psychological Measurement, 2014
Typically a longitudinal growth modeling based on item response theory (IRT) requires repeated measures data from a single group with the same test design. If operational or item exposure problems are present, the same test may not be employed to collect data for longitudinal analyses and tests at multiple time points are constructed with unique…
Descriptors: Item Response Theory, Comparative Analysis, Test Items, Equated Scores
von Davier, Matthias; Xu, Xueli; Carstensen, Claus H. – Educational Testing Service, 2009
A general diagnostic model was used to specify and compare two multidimensional item-response-theory (MIRT) models for longitudinal data: (a) a model that handles repeated measurements as multiple, correlated variables over time (Andersen, 1985) and (b) a model that assumes one common variable over time and additional orthogonal variables that…
Descriptors: Models, Item Response Theory, Longitudinal Studies, Measurement
Moses, Tim; von Davier, Alina A.; Casabianca, Jodi – ETS Research Report Series, 2004
The purpose of this report is to demonstrate loglinear smoothing using SAS PROC GENMOD. The results from four published examples, which include the smoothing of a) univariate distributions, b) bivariate distributions, c) distributions with teeth, and d) bivariate distributions with structural zeros, are reproduced to show the flexibility of the…
Descriptors: Statistical Analysis, Statistical Distributions, Comparative Analysis, Graphs

Rousseau, Ronald – Information Processing and Management, 1994
Discussion of informetric distributions shows that generalized Leimkuhler functions give proper fits to a large variety of Bradford curves, including those exhibiting a Groos droop or a rising tail. The Kolmogorov-Smirnov test is used to test goodness of fit, and least-square fits are compared with Egghe's method. (Contains 53 references.) (LRW)
Descriptors: Bibliometrics, Comparative Analysis, Goodness of Fit, Least Squares Statistics

Millsap, Roger E.; Everson, Howard – Multivariate Behavioral Research, 1991
Use of confirmatory factor analysis (CFA) with nonzero latent means in testing six different measurement models from classical test theory is discussed. Implications of the six models for observed mean and covariance structures are described, and three examples of the use of CFA in testing the models are presented. (SLD)
Descriptors: Comparative Analysis, Equations (Mathematics), Goodness of Fit, Mathematical Models

Collins, Linda M.; And Others – Multivariate Behavioral Research, 1993
To assess problems in hypothesis testing and model comparisons based on normed indices caused by latent class models with sparse contingency tables, a simulation was carried out investigating the distributions of the likelihood ratio statistic, the Pearson statistic chi-square, and a new goodness of fit statistic. (SLD)
Descriptors: Chi Square, Comparative Analysis, Computer Simulation, Equations (Mathematics)