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Lyublinskaya, Irina E. – Mathematics Teacher, 2005
This article offers an engaging student activity that allows them to make a connection between seemingly different topics of drug testing procedure, logistic model, and iterations.
Descriptors: Drug Use Testing, Mathematics Activities, Mathematics Instruction, Secondary School Mathematics
Gray, Jeffrey J. – Chemical Engineering Education, 2006
I present modifications to the traditional course entitled, "Process dynamics and control," which I renamed "Modeling, dynamics, and control of chemical and biological processes." Additions include the central dogma of biology, pharmacokinetic systems, population balances, control of gene transcription, and large-scale…
Descriptors: Molecular Biology, Engineering Education, Mathematical Models, Chemical Engineering
Gregory, Kelvin – International Education Journal, 2006
The Trends in International Mathematics and Science studies provide country-level data for tracking changes in student achievement over time. In this paper the author has developed a method for identifying and monitoring trends in student achievement above or below any specified cut-point on these tests. The method involved the use of the Foster,…
Descriptors: Mathematics Achievement, Academic Achievement, Evaluation Methods, Educational Trends
Harris, Richard J. – 1992
Interpretation of emergent variables on the basis of structure coefficients (zero order correlations between original and emergent variables) is potentially very misleading and should be avoided in favor of interpretation on the basis of scoring coefficients. This is most apparent in multiple regression analysis and its special case, two-group…
Descriptors: Correlation, Discriminant Analysis, Mathematical Models, Multiple Regression Analysis
Wolfe, Edward W.; Chiu, Chris W. T. – 1997
How common patterns of rater errors may be detected in a large-scale performance assessment setting is discussed. Common rater effects are identified, and a scaling method that can be used to detect them in operational data sets is presented. Simulated data sets are generated to exhibit each of these rater effects. The three continua that depict…
Descriptors: Item Response Theory, Mathematical Models, Norms, Performance Based Assessment
Haertel, Edward H. – 1996
These FORTRAN programs and MATHEMATICA routines were developed in the course of a research project titled "Achievement and Assessment in School Science: Modeling and Mapping Ability and Performance." Their use is described in other publications from that project, including "Latent Traits or Latent States? The Role of Discrete Models…
Descriptors: Ability, Academic Achievement, Computer Software, Educational Assessment
Ferrell, Charlotte M. – 1992
Statistical significance is often misinterpreted to mean replicability or generalizability of results, although a statistically significant difference does not equal a reliable difference. Sample splitting procedures may be a more accurate way of estimating research result generalizability. This type of cross-validation involves randomly dividing…
Descriptors: Equations (Mathematics), Generalization, Mathematical Models, Predictive Measurement
Rivera, Bernadette Delgado – 1993
The analysis of covariance as a procedure for statistical correction of the effects for an extraneous variable, called a "covariate," is presented. An heuristic data set is used to make the discussion of the calculation of ANCOVA partitions easier to follow. A discussion of homogeneity of regression as an essential condition to be met…
Descriptors: Analysis of Covariance, Heuristics, Mathematical Models, Regression (Statistics)

Jarrell, Michele Glankler – 1992
This repeated measures factorial design study compared the results of two procedures for identifying multivariate outliers under varying conditions, the Mahalanobis distance and the Andrews-Pregibon statistic. Results were analyzed for the total number of outliers identified and number of false outliers identified. Simulated data were limited to…
Descriptors: Comparative Analysis, Computer Simulation, Error of Measurement, Mathematical Models
Barcikowski, Robert S.; Elliott, Ronald S. – 1991
The contribution of individual variables to overall multivariate significance in a multivariate analysis of variance (MANOVA) is investigated using a combination of canonical discriminant analysis and Roy-Bose simultaneous confidence intervals. Difficulties with this procedure are discussed, and its advantages are illustrated using examples based…
Descriptors: Comparative Analysis, Correlation, Discriminant Analysis, Mathematical Models
Blankmeyer, Eric – 1992
L-scaling is introduced as a technique for determining the weights in weighted averages or scaled scores for T joint observations on K variables. The technique is so named because of its formal resemblance to the Leontief matrix of mathematical economics. L-scaling is compared to several widely-used procedures for data reduction, and the…
Descriptors: Comparative Analysis, Equations (Mathematics), Mathematical Models, Multivariate Analysis
Hecht, Jeffrey B. – 1992
Previous research has demonstrated particular inadequacies in conventional methods used to identify outlier cases in bivariate regression models. Only through a combination of methods can one detect all of the deviant points potentially overinfluencing a regression model's parameters. This paper investigates whether a range of data points might…
Descriptors: Estimation (Mathematics), Graphs, Least Squares Statistics, Mathematical Models
Meshbane, Alice; Morris, John D. – 1994
A method for comparing the cross validated classification accuracies of linear and quadratic classification rules is presented under varying data conditions for the k-group classification problem. With this method, separate-group as well as total-group proportions of correct classifications can be compared for the two rules. McNemar's test for…
Descriptors: Classification, Comparative Analysis, Correlation, Discriminant Analysis
Bierschenk, Bernhard – 1991
Implicit figuration and subjective interpretation make up the conventional basis of the classical discussion of the comprehensiveness and aesthetic quality of the metaphor. Its function and use in social science research is illustrated as a background to a radically different methodological approach. By means of a Perspective Text Analysis, it is…
Descriptors: Algorithms, Foreign Countries, Mathematical Models, Metaphors
Hsiung, Tung-Hsing; Olejnik, Stephen – 1991
Using computer simulated data, the Type I error rate and statistical power were empirically estimated for several pairwise multiple comparison strategies for situations where population variances differ. Focus was on comparing modified Bonferroni procedures with Dunnett's solutions, and determining whether or not J. P. Shaffer's suggestion of…
Descriptors: Comparative Analysis, Equations (Mathematics), Estimation (Mathematics), Mathematical Models