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Peer reviewedBritney, Robert R. – Socio-Economic Planning Sciences, 1975
Describes and evaluates a circuitless flow model for forecasting future student attributes and enrollment projections, compared with a simple Markov chain model. Data from a study of secondary students are used to illustrate the analytical methodologies and to contrast results of the Markov chain and circuitless flow models. (JG)
Descriptors: Data Analysis, Enrollment Projections, Management Information Systems, Mathematical Models
Popp, Jerome A. – 1978
Internal validity is described as a matter of how well a particular instance of data collection or generation can be described and explained. It is a property of the procedures used in the collection or generation of data. The notion of internal validity is examined in order to establish a method of quantitatively estimating it. A coefficient of…
Descriptors: Data Collection, Generalization, Hypothesis Testing, Mathematical Models
Hynes, Kevin – 1976
One aspect of multiple regression--the shrinkage of the multiple correlation coefficient on cross-validation is reviewed. The paper consists of four sections. In section one, the distinction between a fixed and a random multiple regression model is made explicit. In section two, the cross-validation paradigm and an explanation for the occurrence…
Descriptors: Correlation, Error Patterns, Literature Reviews, Mathematical Models
Keats, John B.; Brewer, James K. – 1971
This paper presents an index of goodness-of-fit for comparing m models over n trials. The index allows for differentiated weighting of the trials as to their importance in the comparison of the models. Several possible weighting schemes are suggested and the conditions on the weights which assure asymptotic normality of the index distribution are…
Descriptors: Goodness of Fit, Hypothesis Testing, Mathematical Models, Nonparametric Statistics
PDF pending restorationMeyer, Donald L. – 1971
Bayesian statistical methodology and its possible uses in the behavioral sciences are discussed in relation to the solution of problems in both the use and teaching of fundamental statistical methods, including confidence intervals, significance tests, and sampling. The Bayesian model explains these statistical methods and offers a consistent…
Descriptors: Bayesian Statistics, Data Analysis, Decision Making, Mathematical Models
Suppes, Patrick – 1972
The relevance of research to educational ideas is discussed in this paper. General ways of organizing education in matters of theory, policy, or practice, and methodology are the "fantasies" analyzed; the need for research to produce the evidence that will convert these fantasies to fact is emphasized. A research example from elementary…
Descriptors: Curriculum, Education, Educational Theories, Elementary School Mathematics
Emrick, John A. – 1971
The validity of an evaluation model for mastery testing applications was investigated. Three variables were tested in an experiment using 96 third grade subjects--amount of training, number of alternates in an item, and number of items. The concept hierarchy involved an orderly progression from a concept involving one relevant of three varying…
Descriptors: Achievement Tests, Cognitive Measurement, Item Analysis, Mathematical Models
Peer reviewedKauffman, Dan; And Others – Instructional Science, 1976
An equation is derived which predicts the relationship between the subjective information content of written textual material and the relative number of errors committed by a learner when asked to predict, letter by letter, the content of given textual material. (Author)
Descriptors: Computer Programs, Guessing (Tests), Information Processing, Learning Processes
Peer reviewedSpiegel, Douglas K. – Multivariate Behavioral Research, 1986
Tau, Lambda, and Kappa are measures developed for the analysis of discrete multivariate data of the type represented by stimulus response confusion matrices. The accuracy with which they may be estimated from small sample confusion matrices is investigated by Monte Carlo methods. (Author/LMO)
Descriptors: Mathematical Models, Matrices, Monte Carlo Methods, Multivariate Analysis
Peer reviewedShockley, William – Review of Educational Research, 1971
Fifth article in a sequence that originated with a controversial article by Arthur R. Jensen (1969) criticized by Richard J. Light and Paul V. Smith (1969) and countercriticized by the author (1971). (SE)
Descriptors: Blacks, Genetics, Intelligence Quotient, Mathematical Models
Peer reviewedShine, Lester C. , II; Bower, Samuel M. – Educational and Psychological Measurement, 1971
Descriptors: Analysis of Variance, Behavioral Science Research, Hypothesis Testing, Mathematical Models
Peer reviewedLissitz, Robert W.; Halperin, Silas – Educational and Psychological Measurement, 1971
Descriptors: Behavioral Science Research, Computer Programs, Hypothesis Testing, Mathematical Models
Peer reviewedHeath, Robert W.; Brandon, Paul R. – Educational Evaluation and Policy Analysis, 1982
This paper discusses problems associated with the application of experimental methods to program evaluation, proposes an alternative approach (program-attribute scaling), and reports the procedure and results of a trial application of the alternative approach. (Author)
Descriptors: Evaluation Criteria, Evaluation Methods, Mathematical Models, Observation
Peer reviewedBloom, Allan M. – Research in Higher Education, 1983
A statistical methodology applied to three years of teaching load data from 21 major public universities yields an objective, broadly applicable set of student credit hours (SCH) weight factors. A table of optimum weighting factors for upper division and graduate SCH is presented. (Author/MLW)
Descriptors: College Instruction, Credits, Higher Education, Mathematical Models
Peer reviewedGoldstein, Harvey – School Effectiveness and School Improvement, 1997
Discusses the methodological requirements for valid inferences from school-effectiveness research studies, which include long-term longitudinal data and proper statistical modelling of hierarchical data structures. Explains problems with using simple performance indicators to measure school effectiveness. Outlines appropriate multilevel…
Descriptors: Data Collection, Effective Schools Research, Elementary Secondary Education, Longitudinal Studies


