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Goldman, Robert N.; McKenzie, John D. Jr. – Teaching Statistics: An International Journal for Teachers, 2009
We explain how to simulate both univariate and bivariate raw data sets having specified values for common summary statistics. The first example illustrates how to "construct" a data set having prescribed values for the mean and the standard deviation--for a one-sample t test with a specified outcome. The second shows how to create a bivariate data…
Descriptors: Correlation, Equated Scores, Statistical Analysis, Weighted Scores
Hedges, Larry V. – Journal of Educational and Behavioral Statistics, 2007
A common mistake in analysis of cluster randomized trials is to ignore the effect of clustering and analyze the data as if each treatment group were a simple random sample. This typically leads to an overstatement of the precision of results and anticonservative conclusions about precision and statistical significance of treatment effects. This…
Descriptors: Statistical Significance, Computation, Cluster Grouping, Statistics
Lord, Robert E.; And Others – 1981
The purpose of this study was to evaluate the parallel processing impact of multiple-instruction multiple-data path (MIMD) computers on flight simulation software. Basic mathematical functions and arithmetic expressions from typical flight simulation software were selected and run on an MIMD computer to evaluate the improvement in execution time…
Descriptors: Computer Programs, Computers, Flight Training, Mathematical Formulas
Busing, Frank M. T. A.; Groenen, Patrick J. K.; Heiser, Willem J. – Psychometrika, 2005
Multidimensional unfolding methods suffer from the degeneracy problem in almost all circumstances. Most degeneracies are easily recognized: the solutions are perfect but trivial, characterized by approximately equal distances between points from different sets. A definition of an absolutely degenerate solution is proposed, which makes clear that…
Descriptors: Simulation, Item Response Theory, Psychometrics, Statistical Analysis
Rupp, Andre A.; Zumbo, Bruno D. – Educational and Psychological Measurement, 2006
One theoretical feature that makes item response theory (IRT) models those of choice for many psychometric data analysts is parameter invariance, the equality of item and examinee parameters from different examinee populations or measurement conditions. In this article, using the well-known fact that item and examinee parameters are identical only…
Descriptors: Psychometrics, Probability, Simulation, Item Response Theory
Wang, Zhongmiao; Thompson, Bruce – Journal of Experimental Education, 2007
In this study the authors investigated the use of 5 (i.e., Claudy, Ezekiel, Olkin-Pratt, Pratt, and Smith) R[squared] correction formulas with the Pearson r[squared]. The authors estimated adjustment bias and precision under 6 x 3 x 6 conditions (i.e., population [rho] values of 0.0, 0.1, 0.3, 0.5, 0.7, and 0.9; population shapes normal, skewness…
Descriptors: Effect Size, Correlation, Mathematical Formulas, Monte Carlo Methods
Peer reviewedMagee, Kevin N.; Overall, John E. – Educational and Psychological Measurement, 1992
Formulae for estimating individual rater reliabilities from analysis of treatment effects are presented and evaluated. Monte Carlo methods illustrate the formulae. Results indicate that large sample sizes, large true treatment effects, and large differences in the actual reliabilities of raters are required for the approach to be useful. (SLD)
Descriptors: Effect Size, Estimation (Mathematics), Experimental Groups, Mathematical Formulas
Glaser, Jack – Journal of Policy Analysis and Management, 2006
Racial profiling--the use of race, ethnicity, or national origin by law enforcement officials to make judgments of criminal suspicion--is assessed in terms of its effect on targeted populations and on law enforcement efficiency. A mathematical simulation, comparing multiple profiling and non-profiling scenarios, is employed. This analysis…
Descriptors: Racial Bias, Ethnicity, Criminals, Law Enforcement

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