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Direct linkLin, Tony; Erfan, Sasan – New England Journal of Higher Education, 2016
Mathematical modeling is an open-ended research subject where no definite answers exist for any problem. Math modeling enables thinking outside the box to connect different fields of studies together including statistics, algebra, calculus, matrices, programming and scientific writing. As an integral part of society, it is the foundation for many…
Descriptors: Mathematical Models, Mathematics, High School Students, Secondary School Mathematics
Download full textvan der Linden, Wim J. – 1980
Occasionally, situations arise where mixtures of two binomials with one known success parameter are met. An example in educational testing is the mastery or random guessing model in which an examinee is supposed either to master the items or not to master them and to guess blindly. This paper gives moment estimators for such mixtures and presents…
Descriptors: Equations (Mathematics), Error of Measurement, Estimation (Mathematics), Foreign Countries
Chou, Tungshan; Wang, Lih-Shing – 1992
P. O. Johnson and J. Neyman (1936) proposed a general linear hypothesis testing procedure for testing the null hypothesis of no treatment difference in the presence of some covariates. This is generally known as the Johnson-Neyman (JN) technique. The need for the hypothesis testing step (often omitted) as originally presented and the…
Descriptors: Computer Simulation, Equations (Mathematics), Foreign Countries, Hypothesis Testing
van der Linden, Wim J. – 1981
J. A. Emrick's (1971) model is a latent class model of mastery testing that can be used to estimate the proportion of masters in a given population. A. Hamerle (1980), in a recent paper on this model, has proposed an estimator for the proportion of masters that is claimed to constitute a maximum likelihood approach. It is indicated that Hamerle is…
Descriptors: Criterion Referenced Tests, Estimation (Mathematics), Foreign Countries, Latent Trait Theory
Chou, Tungshan; Huberty, Carl J. – 1992
The empirical performance of the technique proposed by P. O. Johnson and J. Neyman (1936) (the JN technique) and the modification of R. F. Potthoff (1964) was studied in simulated data settings. The robustness of the two JN techniques was investigated with respect to their ability to control Type I and Type III errors. Factors manipulated in the…
Descriptors: Analysis of Variance, Computer Simulation, Equations (Mathematics), Error Patterns
Keselman, Joanne C.; And Others – 1993
Meta-analytic methods were used to summarize results of Monte Carlo (MC) studies investigating the robustness of various statistical procedures for testing within-subjects effects in split-plot repeated measures designs. Through a literature review, accessible MC studies were identified, and characteristics (simulation factors) and outcomes (rates…
Descriptors: Computer Simulation, Foreign Countries, Interaction, Least Squares Statistics
