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Thissen, David; Wainer, Howard – 1983
A statistical method is described and illustrated which provides confidence envelopes around item response functions. Examples of 95 percent confidence envelopes for the one-, two-, and three-parameter logistic response models are given. In addition, the authors describe N-line plots, which show the genesis of the envelope as well as the density…
Descriptors: Graphs, Latent Trait Theory, Mathematical Formulas, Mathematical Models
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

Rousseau, Ronald – Journal of Documentation, 1987
Proposes a new definition of the nuclear zone of a Bradford or Leimkuhler curve. The mathematical rationale is outlined, and examples of the application of this technique to citation analysis are given. (15 references) (CLB)
Descriptors: Citation Analysis, Functions (Mathematics), Graphs, Logarithms

Mazur, Zygmunt – Information Processing and Management, 1984
Investigates the properties of a global model consisting of "n" local information retrieval systems based on thesaurus. Definitions of a distributed information retrieval system (thesaurus, documents set, set of queries) and proofs of theorems denoting further properties of the systems are highlighted. Five references are included. (EJS)
Descriptors: Information Retrieval, Information Systems, Mathematical Formulas, Mathematical Models

Jarvelin, Kalervo – Journal of Documentation, 1986
Describes a method for advance estimation of user charges for queries in relational data model-based numeric databases when charges are based on data retrieved. Use of this approach is demonstrated by sample queries to an imaginary marketing database. The principles and methods of this approach and its relevance are discussed. (MBR)
Descriptors: Cost Estimates, Fees, Literature Reviews, Marketing

Burrell, Quentin L. – Journal of Documentation, 1986
Correlation structure of the Burrell and Cane mixed Poisson model for library loans with aging is presented and illustrated by data from University of Sussex. The approach is compared and contrasted with that originally formulated by Morse and recently reevaluated by Beheshti and Tague. Directions for future investigations are suggested. (Author)
Descriptors: Correlation, Library Circulation, Library Materials, Literature Reviews

Fox, R. O.; Fan, L. T. – Chemical Engineering Education, 1990
Discusses the master equation of a stochastic model in chemical process systems. Presents a solution technique known as the System Size Expansion. (YP)
Descriptors: Chemical Engineering, Chemical Reactions, Engineering, Equations (Mathematics)

Sabbah, Daniel – Cognitive Science, 1985
Summarizes an initial foray in tackling artificial intelligence problems using a connectionist approach. The task chosen is visual recognition of Origami objects, and the questions answered are how to construct a connectionist network to represent and recognize projected Origami line drawings and the advantages such an approach would have. (30…
Descriptors: Artificial Intelligence, Cognitive Processes, Computer Graphics, Geometry

Rumelhart, David E.; Zipser, David – Cognitive Science, 1985
Reports results of studies with an unsupervised learning paradigm called competitive learning which is examined using computer simulation and formal analysis. When competitive learning is applied to parallel networks of neuron-like elements, many potentially useful learning tasks can be accomplished. (Author)
Descriptors: Artificial Intelligence, Cognitive Processes, Computer Simulation, Input Output

Conquest, Loveday L. – Environmental Monitoring and Assessment, 1993
Presents two statistical topics and examples of their use in natural resource monitoring. The first topic deals with use of correlated observations in calculations of variance estimates for a regional mean, required sample size determination, and confidence intervals. The second topic concerns the use of Bayesian techniques in hypothesis testing.…
Descriptors: Bayesian Statistics, Environmental Education, Environmental Research, Evaluation Methods

Stacey, Kaye – Educational Studies in Mathematics, 1989
Explored are responses of students aged 9 to 13 to linear generalizing problems from both a technical and strategic point of view. The methods commonly used were the same in all age groups and across all three questions, although some students choosing each model varied. (YP)
Descriptors: Elementary Education, Elementary School Mathematics, Junior High Schools, Mathematical Applications
Hart, Roland J.; Bradshaw, Stephen C. – 1981
This report provides the statistical tools necessary to measure the extent of error that exists in organizational record data and group survey data. It is felt that traditional methods of measuring error are inappropriate or incomplete when applied to organizational groups, especially in studies of organizational change when the same variables are…
Descriptors: Adults, Analysis of Variance, Error of Measurement, Mathematical Formulas