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Swinson, Ronnie; Clark, Aaron C.; Ernst, Jeremy V.; Sutton, Kevin – Technology and Engineering Teacher, 2016
Today's engineers, designers, and technologists are often thrust into the role of problem solver, from the initial design phase of a product or process all the way to final development. Many engineers in manufacturing environments are tasked with solving problems and continuously improving processes to enhance company profitability, efficiency,…
Descriptors: Technology Education, Engineering Education, Simulation, Problem Solving
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Ellis, Jules L.; van den Wollenberg, Arnold L. – Psychometrika, 1993
Characterizations of local homogeneity and the homogeneous monotone item response theory (IRT) model are provided. The characterization theorem states that the joint condition of experimental independence and pairwise nonnegative association in every nonnegligible subpopulation is necessary and sufficient for the homogenous monotone IRT model.…
Descriptors: Equations (Mathematics), Item Response Theory, Mathematical Models, Predictor Variables
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Berry, Kenneth J.; Mielke, Paul W., Jr. – Educational and Psychological Measurement, 1992
A generalized measure of association and an associated test of significance are presented for nominal independent variables in which any number or combination of interval, ordinal, or nominal dependent variables can be analyzed. A permutation test of significance is provided for the new measure. (SLD)
Descriptors: Correlation, Equations (Mathematics), Mathematical Models, Multivariate Analysis
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Mendoza, Jorge L. – Psychometrika, 1993
A Fisher's Z transformation is developed for the corrected correlation for conditions when the criterion data are missing because of selection on the predictor and when the criterion was missing at random, not because of selection. The two Z transformations were evaluated in a computer simulation and found accurate. (SLD)
Descriptors: Computer Simulation, Correlation, Equations (Mathematics), Mathematical Models
Thayer, Jerome D. – 1991
The extent to which standardized regression coefficients (beta values) can be used to determine the importance of a variable in an equation was explored. The beta value and the part correlation coefficient--also called the semi-partial correlation coefficient and reported in squared form as the incremental "r squared"--were compared for…
Descriptors: Comparative Analysis, Correlation, Equations (Mathematics), Mathematical Models
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Gupta, J. K.; And Others – Journal of Experimental Education, 1989
A model was developed for estimating individuals' true changes on test scores using the additional information provided by an auxiliary variable correlated with a trait being measured. This provides an improved and more precise estimate when compared with simple difference scores. It involves the reliability of "X" scores only. (SLD)
Descriptors: Change, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
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Pruzek, Robert M.; Lepak, Greg M. – Multivariate Behavioral Research, 1992
Adaptive forms of weighted structural regression are developed and discussed. Bootstrapping studies indicate that the new methods have potential to recover known population regression weights and predict criterion score values routinely better than do ordinary least squares methods. The new methods are scale free and simple to compute. (SLD)
Descriptors: Equations (Mathematics), Least Squares Statistics, Mathematical Models, Predictive Measurement
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Gross, Alan L. – Psychometrika, 1990
A model is proposed for investigating test validity as a predictor of a criterion variable when there are both missing and censored scores in the data set. Implications for maximum likelihood estimation are discussed, and the method is illustrated with hypothetical data sets. (SLD)
Descriptors: Equations (Mathematics), Mathematical Models, Maximum Likelihood Statistics, Predictive Measurement
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Tracz, Susan M.; And Others – Educational and Psychological Measurement, 1992
Effects of violating the independence assumption when combining correlation coefficients in a meta-analysis were studied. This Monte-Carlo simulation varied sample size, predictor number, population intercorrelation among predictors, and population correlation between predictors and criterion. Combining statistics from nonindependent data in a…
Descriptors: Computer Simulation, Correlation, Equations (Mathematics), Mathematical Models
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Voss, Daniel T. – Educational and Psychological Measurement, 1992
The construction of artificial profiles, or stimuli, for judgment analysis (JAN) is discussed. JAN is a technique for identifying and analyzing the policies of a group of judges for rating the profiles of personnel or applicants. Conditions under which artificial profiles are successfully used are discussed. (SLD)
Descriptors: Equations (Mathematics), Evaluators, Group Dynamics, Job Satisfaction
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Stout, William F. – Psychometrika, 1990
Using an infinite item test framework, it is argued that the usual assumption of local independence should be replaced by a weaker assumption--essential independence. The usual assumption of unidimensionality is replaced by a weaker and more appropriate statistically testable assumption of essential unidimensionality. (TJH)
Descriptors: Ability Identification, Equations (Mathematics), Estimation (Mathematics), Item Response Theory
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Zwinderman, Aeilko H. – Psychometrika, 1991
A method is suggested to estimate the relationship between a latent trait and one or more manifest predictors without estimating subject parameters. The method, developed for the Rasch model, can be generalized to two-parameter and three-parameter logistic latent trait models. The model is illustrated with simulated and empirical data. (SLD)
Descriptors: Computer Simulation, Equations (Mathematics), Estimation (Mathematics), Generalization
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Muchinsky, Paul M.; Skilling, Nancy J. Langham – Educational and Psychological Measurement, 1992
The economic utility of the following 5 weighting methods for evaluating consumer loan applications was determined using a sample of 443 loans: (1) unit; (2) weighted application blank; (3) chi square; (4) Bayes; and (5) regression. The unit and weighted application blank procedures were the best approaches. (SLD)
Descriptors: Bayesian Statistics, Chi Square, Comparative Analysis, Cost Effectiveness
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Cliff, Norman; Charlin, Ventura – Multivariate Behavioral Research, 1991
Variance formulas of H. E. Daniels and M. G. Kendall (1947) are generalized to allow for the presence of ties and variance of the sample tau correlation. Applications of these generalized formulas are discussed and illustrated using data from a 1965 study of contraceptive use in 15 developing countries. (SLD)
Descriptors: Analysis of Covariance, Analysis of Variance, Contraception, Developing Nations
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Green, Samuel B. – Multivariate Behavioral Research, 1991
An evaluation of the rules-of-thumb used to determine the minimum number of subjects required to conduct multiple regression analyses suggests that researchers who use a rule of thumb rather than power analyses trade simplicity of use for accuracy and specificity of response. Insufficient power is likely to result. (SLD)
Descriptors: Correlation, Effect Size, Equations (Mathematics), Estimation (Mathematics)
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