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Harting, Roger D.; Alspaugh, John W. – Journal of Educational Data Processing, 1975
The computation of the cost of various pay proposals may be reduced to a series of mathematical formulas that may then be utilized in conjunction with an electronic digital computer to quickly and accurately determine the maximum salaries payable with a given amount of funds. (Author)
Descriptors: Data Processing, Educational Finance, Elementary Secondary Education, Mathematical Models
Peer reviewedTaylor, N. W. – Australian Mathematics Teacher, 1975
A model for population growth is described. (SD)
Descriptors: Computers, Instruction, Mathematical Models, Mathematics Education
Peer reviewedBrown, Daniel J. – Planning and Changing, 1975
Presents trend projection models that address four problems--dramatic growth, modest growth, gradual decline, and precipitous decline. Each model approximates a linear trend over short time intervals. The models employ very elementary mathematics to produce forecasts of high accuracy. (Author/IRT)
Descriptors: Education, Educational Planning, Elementary Secondary Education, Mathematical Models
Peer reviewedHarter, Stephen P. – Journal of the American Society for Information Science, 1975
A probabilistic model of keyword indexing is outlined, and some of the consequences of the model are examined. An algorithm defining a measure of indexability is developed--a measure intended to reflect the relative significance of words in documents. (Author)
Descriptors: Algorithms, Automatic Indexing, Indexing, Mathematical Models
Peer reviewedAnd Others; Salton, G. – Journal of the American Society for Information Science, 1975
A new technique, known as discrimination value analysis, ranks the text words in accordance with how well they are able to discriminate the documents of a collection from each other. (Author/PF)
Descriptors: Automatic Indexing, Databases, Discriminant Analysis, Information Processing
Loftin, Lynn – 1990
Although analysis of covariance (ANCOVA) is used fairly infrequently in published research, the method is used much more frequently in dissertations and in evaluation research. This paper reviews the assumptions that must be met for ANCOVA to yield useful results, and argues that ANCOVA will yield distorted and inaccurate results when these…
Descriptors: Analysis of Covariance, Mathematical Models, Regression (Statistics), Research Methodology
Luh, Wei-Ming; Olejnik, Stephen – 1990
Two-stage sampling procedures for comparing two population means when variances are heterogeneous have been developed by D. G. Chapman (1950) and B. K. Ghosh (1975). Both procedures assume sampling from populations that are normally distributed. The present study reports on the effect that sampling from non-normal distributions has on Type I error…
Descriptors: Comparative Analysis, Mathematical Models, Power (Statistics), Sample Size
Bjornstad, Jan F. – 1990
Modeling the population in survey sampling problems continues to be controversial. An important reason is that the likelihood principle makes it somewhat necessary to model the population. Estimating the population total in two-stage survey sampling is considered, making use of a "superpopulation" model. The problem is then really one of…
Descriptors: Equations (Mathematics), Mathematical Models, Maximum Likelihood Statistics, Predictive Measurement
Peer reviewedTate, Richard L. – Florida Journal of Educational Research, 1988
An exploratory study of the value of ridge regression for interactive models is reported. Assuming that the linear terms in a simple interactive model are centered to eliminate non-essential multicollinearity, a variety of common models, representing both ordinal and disordinal interactions, are shown to have "orientations" that are…
Descriptors: Comparative Analysis, Equations (Mathematics), Mathematical Models, Maximum Likelihood Statistics
Becker, Betsy Jane; Hedges, Larry V. – 1990
The problem of combining information to estimate standardized partial regression coefficients in a linear model is considered. A combined estimate obtained from the pooled correlation matrix is proposed, and its large sample distribution is obtained. This estimate can be generalized to address situations in which not every study measures every…
Descriptors: Correlation, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
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
Anderson, Samuel – 1988
Mobile satellite (MSAT) technology is the basis for a new component of the telecommunications industry capable of providing services to small inexpensive subscriber terminals located almost any place in the world. The market for MSAT space segment capacity (bandwidth and power) is a natural monopoly that can be logically and technically…
Descriptors: Communications Satellites, Competition, Cost Effectiveness, Economics
Tanaka, J. S. – 1981
Using Goodman's (1975) notion of quasi-independence as a method of obtaining goodness of fit measures for non-scalable types in a scalogram analysis, archival data sets were examined using available Guttman scaling techniques, recent developments in latent structure analysis, and multidimensional scaling procedures. The Stouffer-Toby (1951) data…
Descriptors: Goodness of Fit, Mathematical Models, Multidimensional Scaling, Rating Scales
Reckase, Mark D.; McKinley, Robert L. – 1982
A review of the literature was made of the various procedures for sequencing instructional units in individualized instruction programs. Procedures for validating sequences of instructional units, or learning hierarchies, were found to fall into two general categories. One category included procedures based on coefficients of dependence, while the…
Descriptors: Evaluation Methods, Individualized Instruction, Instructional Improvement, Mathematical Models
Schmalz, Steve W.; Cartledge, Carolyn M. – 1982
During the last decade the use of Bayesian statistical method has become quite prevalent in the educational community. Yet, like most statistical techniques, little has been written concerning the application of these methods to the classroom setting. The purpose of this paper is to help correct such a deficiency in the literature by developing a…
Descriptors: Bayesian Statistics, Classroom Techniques, Mastery Tests, Mathematical Models


