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Kim, Peter – Studies in Applied Linguistics & TESOL, 2019
Energy Conservation Theory of Second Language Acquisition (ECT-L2A) (Han, Bao, & Wiita, 2017b), an interdisciplinary theory juxtaposing a physics perspective and an applied linguistics perspective, conceptualizes individuals' ultimate attainment as a function of dynamic transformation of endogenous and exogenous energies throughout the…
Descriptors: English (Second Language), Second Language Learning, Second Language Instruction, Prediction
Donlon, Thomas F. – 1975
The use of indices of speededness in tests is reviewed and three possible indices which derive from a model which assumes that rate of work is normally distributed is proposed. Each of these indices is seen as limited by the failure to adequately consider the correlation between speed and power, but they have the advantage that they are derivable…
Descriptors: Mathematical Models, Statistical Analysis, Timed Tests
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Lord, Frederic M. – Educational and Psychological Measurement, 1973
A group of 21 students was tested under a time limit considerably shorter than should have been allowed. This report describes a tryout of a method for estimating the power'' scores that would have been obtained if the students had had enough time to finish. (Author/CB)
Descriptors: Mathematical Models, Scoring Formulas, Statistical Analysis, Theories
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Dekker, Truus – Mathematics Teacher, 2007
This article describes the use of a Dutch pyramid model that may help teachers design assessment problems that go beyond reproduction and need mathematization, generalization, and insight. (Contains 4 figures.)
Descriptors: Performance Based Assessment, Mathematics Teachers, Mathematical Models, Foreign Countries
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Regal, Ronald R.; Larntz, Kinley – Psychometrika, 1978
Models relating individual and group problem solving solution times under the condition of limited time (time limit censoring) are presented. Maximum likelihood estimation of parameters and a goodness of fit test are presented. (Author/JKS)
Descriptors: Goodness of Fit, Hypothesis Testing, Mathematical Models, Problem Solving
Ven, A. H. G. S. van der – Tijdschrift Voor Onderwijs Research, 1976
A more generalized error model for time-limit tests is developed. Model estimates are derived for right-attempted and wrong-attempted correlations both within the same test and between different tests. A comparison is made between observed correlations and their model counterparts and a fair agreement is found between observed and expected…
Descriptors: Comparative Analysis, Correlation, Mathematical Models, Response Style (Tests)
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Whitely, Susan E. – Applied Psychological Measurement, 1979
A model which gives maximum likelihood estimates of measurement error within the context of a simplex model for practice effects is presented. The appropriateness of the model is tested for five traits, and error estimates are compared to the classical formula estimates. (Author/JKS)
Descriptors: Error of Measurement, Error Patterns, Higher Education, Mathematical Models
Donlon, Thomas F. – 1980
To evaluate test speededness and to derive implications for test program activity, this study reviewed the literature on speed and power, identifying four major approaches to the assessment of speed: the Gulliksen approach, the Cronbach and Warrington approach, the Stafford approach, and the approach of the Educational Testing Service (ETS) as…
Descriptors: Estimation (Mathematics), Evaluation, Mathematical Models, Measurement Techniques
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Adema, Jos J. – Journal of Educational Measurement, 1990
Mixed integer linear programing models for customizing two-stage tests are presented. Model constraints are imposed with respect to test composition, administration time, inter-item dependencies, and other practical considerations. The models can be modified for use in the construction of multistage tests. (Author/TJH)
Descriptors: Adaptive Testing, Computer Assisted Testing, Equations (Mathematics), Linear Programing
Lord, Frederic M. – 1972
A method for estimating power scores is described. By way of illustration, it is applied to 21 students who were improperly timed on a standard test. Some empirical results are given in support of the estimation procedure. (Author)
Descriptors: Bulletins, Mathematical Models, Probability, Research
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Joreskog, K. G. – Psychometrika, 1971
Descriptors: Correlation, Factor Analysis, Goodness of Fit, Mathematical Models
Moore, William E. – 1970
The previous theoretical development of the Poisson process as a strong model for the true-score theory of mental tests is discussed, and additional theoretical properties of the model from the standpoint of individual examinees are developed. The paper introduces the Erlang process as a family of test theory models and shows in the context of…
Descriptors: Arithmetic, Goodness of Fit, Grade 10, Mathematical Models
Tatsuoka, Kikumi K.; Tatsuoka, Maurice M. – 1978
The family of Weibull distributions was investigated as a model for the distributions of response times for items in computer-based criterion-referenced tests. The fit of these distributions were, with a few exceptions, good to excellent according to the Kolmogorov-Smirnov test. For a few relatively simple items, the two-parameter gamma…
Descriptors: Career Development, Computer Assisted Instruction, Computer Assisted Testing, Criterion Referenced Tests