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Casabianca, Jodi M.; Lewis, Charles – Journal of Educational and Behavioral Statistics, 2018
The null hypothesis test used in differential item functioning (DIF) detection tests for a subgroup difference in item-level performance--if the null hypothesis of "no DIF" is rejected, the item is flagged for DIF. Conversely, an item is kept in the test form if there is insufficient evidence of DIF. We present frequentist and empirical…
Descriptors: Test Bias, Hypothesis Testing, Bayesian Statistics, Statistical Analysis
Kim, Sooyeon; Livingston, Samuel A.; Lewis, Charles – Applied Measurement in Education, 2011
This article describes a preliminary investigation of an empirical Bayes (EB) procedure for using collateral information to improve equating of scores on test forms taken by small numbers of examinees. Resampling studies were done on two different forms of the same test. In each study, EB and non-EB versions of two equating methods--chained linear…
Descriptors: Sample Size, Equated Scores, Bayesian Statistics, Accuracy
Livingston, Samuel A.; Lewis, Charles – Educational Testing Service, 2009
This report proposes an empirical Bayes approach to the problem of equating scores on test forms taken by very small numbers of test takers. The equated score is estimated separately at each score point, making it unnecessary to model either the score distribution or the equating transformation. Prior information comes from equatings of other…
Descriptors: Test Length, Equated Scores, Bayesian Statistics, Sample Size
Kim, Sooyeon; Linvingston, Samuel A.; Lewis, Charles – ETS Research Report Series, 2008
This paper describes an empirical evaluation of a Bayesian procedure for equating scores on test forms taken by small numbers of examinees, using collateral information from the equating of other test forms. In this procedure, a separate Bayesian estimate is derived for the equated score at each raw-score level, making it unnecessary to specify a…
Descriptors: Equated Scores, Statistical Analysis, Sample Size, Bayesian Statistics

Zwick, Rebecca; Thayer, Dorothy T.; Lewis, Charles – Journal of Educational Measurement, 1999
Developed an empirical Bayes enhancement to Mantel-Haenszel (MH) analysis of differential item functioning (DIF) in which it is assumed that the MH statistics are normally distributed and that the prior distribution of underlying DIF parameters is also normal. (Author/SLD)
Descriptors: Bayesian Statistics, Item Bias, Statistical Distributions, Test Items

Zwick, Rebecca; Thayer, Dorothy; Lewis, Charles – Journal of Educational and Behavioral Statistics, 2000
Studied a method for flagging differential item functioning (DIF) based on loss functions. Builds on earlier research that led to the development of an empirical Bayes enhancement to the Mantel-Haenszel DIF analysis. Tested the method through simulation and found its performance better than some commonly used DIF classification systems. (SLD)
Descriptors: Bayesian Statistics, Identification, Item Bias, Simulation

Lewis, Charles; And Others – Psychometrika, 1975
A Bayesian Model II approach to the estimation of proportions in m groups is extended to obtain posterior marginal distributions for the proportions. The approach is extended to allow greater use of prior information than previously and the specification of this prior information is discussed. (Author/RC)
Descriptors: Bayesian Statistics, Data Analysis, Individualized Instruction, Models

McLeod, Lori; Lewis, Charles; Thissen, David – Applied Psychological Measurement, 2003
Explored procedures to detect test takers using item preknowledge in computerized adaptive testing and suggested a Bayesian posterior log odds ratio index for this purpose. Simulation results support the use of the odds ratio index. (SLD)
Descriptors: Adaptive Testing, Bayesian Statistics, Computer Assisted Testing, Knowledge Level

Sheehan, Kathleen; Lewis, Charles – Applied Psychological Measurement, 1992
A procedure is introduced for determining the effect of testlet nonequivalence on operating characteristics of a testlet-based computerized mastery test (CMT). The procedure, which involves estimating the CMT decision rule twice with testlet likelihoods treated as equivalent or nonequivalent, is demonstrated with testlet pools from the Architect…
Descriptors: Bayesian Statistics, Computer Assisted Testing, Computer Simulation, Equations (Mathematics)

Lewis, Charles; Sheehan, Kathleen – Applied Psychological Measurement, 1990
A theoretical framework for mastery testing based on item response theory and Bayesian decision theory is described and illustrated. Implementation depends on the availability of (1) a computerized test delivery system; (2) a pool of pretested items; and (3) a model relating observed test performance to true mastery status. (SLD)
Descriptors: Bayesian Statistics, Computer Assisted Testing, Equations (Mathematics), Graphs
McLeod, Lori D.; Lewis, Charles; Thissen, David. – 1999
With the increased use of computerized adaptive testing, which allows for continuous testing, new concerns about test security have evolved, one being the assurance that items in an item pool are safeguarded from theft. In this paper, the risk of score inflation and procedures to detect test takers using item preknowledge are explored. When test…
Descriptors: Ability, Adaptive Testing, Bayesian Statistics, College Entrance Examinations