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Bruno, A.; Espinel, M. C. – International Journal of Mathematical Education in Science and Technology, 2009
This article details the results of a written test designed to reveal how education majors construct and evaluate histograms and frequency polygons. Included is a description of the mistakes made by the students which shows how they tend to confuse histograms with bar diagrams, incorrectly assign data along the Cartesian axes and experience…
Descriptors: Education Majors, Mathematical Models, Statistical Distributions, Geometric Concepts

Chen, Ye-Sho; Leimkuhler, Ferdinand F. – Information Processing and Management, 1987
This analysis of Zipf's law uses an index for the sequence of observed values of the variables in a Zipf-type relationship. Three important properties relating rank, count, and frequency are identified, shapes of Zipf-type curves are described, and parameters of the Mandelbrot-Zipf law are discussed. (Author/LRW)
Descriptors: Indexing, Mathematical Models, Predictor Variables, Statistical Distributions

Fuhr, Norbert; Huther, Hubert – Information Processing and Management, 1989
Discusses the interdependencies between parameter estimation and properties of probabilistic models, such as dependency assumptions, binary vs. nonbinary features, and estimation sample selection. An optimum estimation for binary features applicable to information retrieval is defined, a method for computing this estimation using empirical data is…
Descriptors: Estimation (Mathematics), Information Retrieval, Mathematical Models, Predictor Variables

Chen, Ye-Sho – Information Processing and Management, 1989
Argues that a major difficulty in using Lotka's law in information science arises from the misuse of goodness of fit tests in parameter estimation. Three approaches for studying Lotka's law are presented: an index approach, a time series approach, and a generating mechanism incorporating these two influential variables to derive an equilibrium…
Descriptors: Estimation (Mathematics), Goodness of Fit, Information Science, Mathematical Formulas

Broodbooks, Wendy J.; Elmore, Patricia B. – Educational and Psychological Measurement, 1987
The effects of sample size, number of variables, and population value of the congruence coefficient on the sampling distribution of the congruence coefficient were examined. Sample data were generated on the basis of the common factor model, and principal axes factor analyses were performed. (Author/LMO)
Descriptors: Factor Analysis, Mathematical Models, Monte Carlo Methods, Predictor Variables