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Moses, Tim; von Davier, Alina – Applied Psychological Measurement, 2011
Polynomial loglinear models for one-, two-, and higher-way contingency tables have important applications to measurement and assessment. They are essentially regarded as a smoothing technique, which is commonly referred to as loglinear smoothing. A SAS IML (SAS Institute, 2002a) macro was created to implement loglinear smoothing according to…
Descriptors: Statistical Analysis, Computer Software, Algebra, Mathematical Formulas
Moses, Tim; Holland, Paul W. – Journal of Educational Measurement, 2010
In this study, eight statistical strategies were evaluated for selecting the parameterizations of loglinear models for smoothing the bivariate test score distributions used in nonequivalent groups with anchor test (NEAT) equating. Four of the strategies were based on significance tests of chi-square statistics (Likelihood Ratio, Pearson,…
Descriptors: Equated Scores, Models, Statistical Distributions, Statistical Analysis
Moses, Tim; Holland, Paul – ETS Research Report Series, 2009
This simulation study evaluated the potential of alternative loglinear smoothing strategies for improving equipercentile equating function accuracy. These alternative strategies use cues from the sample data to make automatable and efficient improvements to model fit, either through the use of indicator functions for fitting large residuals or by…
Descriptors: Accuracy, Equated Scores, Statistical Analysis, Models
Moses, Tim; Holland, Paul W. – Journal of Educational Measurement, 2009
In this study, we compared 12 statistical strategies proposed for selecting loglinear models for smoothing univariate test score distributions and for enhancing the stability of equipercentile equating functions. The major focus was on evaluating the effects of the selection strategies on equating function accuracy. Selection strategies' influence…
Descriptors: Equated Scores, Selection, Statistical Analysis, Models
Moses, Tim; Holland, Paul – ETS Research Report Series, 2008
This study addressed 2 issues of using loglinear models for smoothing univariate test score distributions and for enhancing the stability of equipercentile equating functions. One issue was a comparative assessment of several statistical strategies that have been proposed for selecting 1 from several competing model parameterizations. Another…
Descriptors: Equated Scores, Selection, Models, Statistical Analysis
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