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Flowers, Claudia P.; And Others – 1996
N. S. Raju, W. J. van der Linden, and P. F. Fleer (in press) have proposed an item response theory-based, parametric procedure for the detection of differential item functioning (DIF)/differential test functioning (DTF) known as differential functioning of item and test (DFIT). DFIT can be used with dichotomous, polytomous, or multidimensional…
Descriptors: Item Response Theory, Mathematical Models, Simulation, Test Bias
Brennan, Robert L. – 1990
In 1955, R. Levine introduced two linear equating procedures for the common-item non-equivalent populations design. His procedures make the same assumptions about true scores; they differ in terms of the nature of the equating function used. In this paper, two parameterizations of a classical congeneric model are introduced to model the variables…
Descriptors: Equated Scores, Equations (Mathematics), Mathematical Models, Research Design
Wilcox, Rand R. – 1980
Wilcox (1977) examines two methods of estimating the probability of a false-positive on false-negative decision with a mastery test. Both procedures make assumptions about the form of the true score distribution which might not give good results in all situations. In this paper, upper and lower bounds on the two possible error types are described…
Descriptors: Cutting Scores, Mastery Tests, Mathematical Models, Student Placement
Wilcox, Rand R. – 1980
Concern about passing those examinees who should pass, and retaining those who need remedial work, is one problem related to criterion-referenced testing. This paper deals with one aspect of that problem. When determining how many items to include on a criterion-referenced test, practitioners must resolve various non-statistical issues before a…
Descriptors: Bayesian Statistics, Criterion Referenced Tests, Latent Trait Theory, Mathematical Models
Samejima, Fumiko; Changas, Paul S. – 1981
The methods and approaches for estimating the operating characteristics of the discrete item responses without assuming any mathematical form have been developed and expanded. It has been made possible that, even if the test information function of a given test is not constant for the interval of ability of interest, it is used as the Old Test.…
Descriptors: Adaptive Testing, Latent Trait Theory, Mathematical Models, Methods
Ang, Cheng; Miller, M. David – 1993
The power of the procedure of W. Stout to detect deviations from essential unidimensionality in two-dimensional data was investigated for minor, moderate, and large deviations from unidimensionality using criteria for deviations from unidimensionality based on prior research. Test lengths of 20 and 40 items and sample sizes of 700 and 1,500 were…
Descriptors: Ability, Comparative Testing, Correlation, Item Response Theory
Lautenschlager, Gary J.; Park, Dong-Gun – 1987
The effects of variations in degree of range restriction and different subgroup sample sizes on the validity of several item bias detection procedures based on Item Response Theory (IRT) were investigated in a simulation study. The degree of range restriction for each of two subpopulations was varied by cutting the specified subpopulation ability…
Descriptors: Computer Simulation, Item Analysis, Latent Trait Theory, Mathematical Models
Peer reviewed Peer reviewed
Budescu, David – Journal of Educational Measurement, 1985
An important determinant of equating process efficiency is the correlation between the anchor test and components of each form. Use of some monotonic function of this correlation as a measure of equating efficiency is suggested. A model relating anchor test length and test reliability to this measure of efficiency is presented. (Author/DWH)
Descriptors: Correlation, Equated Scores, Mathematical Models, Standardized Tests
Peer reviewed Peer reviewed
Bell, Richard; Lumsden, James – Applied Psychological Measurement, 1980
The effect of test length on predictive validity is examined empirically. For four tests, the curve of validity against test length had a very gentle slope for the longer tests and all tests could be reduced by more than 60 percent without appreciable decreases in validity. (Author/BW)
Descriptors: Foreign Countries, High School Seniors, High Schools, Mathematical Models
Peer reviewed Peer reviewed
Woodruff, David – Journal of Educational Measurement, 1991
Improvements are made on previous estimates for the conditional standard error of measurement in prediction, the conditional standard error of estimation (CSEE), and the conditional standard error of prediction (CSEP). Better estimates of how test length affects CSEE and CSEP are derived. (SLD)
Descriptors: Equations (Mathematics), Error of Measurement, Estimation (Mathematics), Mathematical Models
Peer reviewed Peer reviewed
Noonan, Brian W.; And Others – Applied Psychological Measurement, 1992
Studied the extent to which three appropriateness indexes, Z(sub 3), ECIZ4, and W, are well standardized in a Monte Carlo study. The ECIZ4 most closely approximated a normal distribution, and its skewness and kurtosis were more stable and less affected by test length and item response theory model than the others. (SLD)
Descriptors: Comparative Analysis, Item Response Theory, Mathematical Models, Maximum Likelihood Statistics
Junker, Brian W. – 1992
A simple scheme is proposed for smoothly approximating the ability distribution for relatively long tests, assuming that the item characteristic curves (ICCs) are known or well estimated. The scheme works for a general class of ICCs and is guaranteed to completely recover the theta distribution as the test length increases. The proposed method of…
Descriptors: Computer Simulation, Equations (Mathematics), Estimation (Mathematics), Item Bias
Johnston, Shirley H.; And Others – 1983
A computer simulation was undertaken to determine the effects of using Huynh's single-administration estimates of the decision consistency indices for agreement and coefficient kappa, under conditions that violated the beta-binomial assumption. Included in the investigation were two unimodal score distributions that fit the model and two bimodal…
Descriptors: Bias, Criterion Referenced Tests, Data, Mastery Tests
van der Linden, Wim J. – 1980
A classical problem in mastery testing is the choice of passing score and test length so that the mastery decisions are optimal. This problem has been addressed several times from a variety of viewpoints. In this paper, the usual indifference zone approach is adopted, with a new criterion for optimizing the passing score. Specifically,…
Descriptors: Classification, Cutting Scores, Error Patterns, Guessing (Tests)
Peer reviewed Peer reviewed
Roberts, Dennis M. – Journal of Educational Measurement, 1987
This study examines a score-difference model for the detection of cheating based on the difference between two scores for an examinee: one based on the appropriate scoring key and another based on an alternative, inappropriate key. It argues that the score-difference method could falsely accuse students as cheaters. (Author/JAZ)
Descriptors: Answer Keys, Cheating, Mathematical Models, Multiple Choice Tests
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