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Holland, Paul W. – Psychometrika, 1981
Deciding whether sets of test data are consistent with any of a large class of item response models is considered. The assumption of local independence is weakened to a new condition, local nonnegative dependence (LND). Necessary and sufficient conditions are derived for a LND item response model. (Author/JKS)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Psychometrics

Sands, Richard; Young, Forrest W. – Psychometrika, 1980
A review of existing techniques for the analysis of three-way data revealed that none were appropriate to the wide variety of data usually encountered in psychological research, and few were capable of both isolating common information and systematically describing individual differences. Such a model is developed and evaluated. (Author/JKS)
Descriptors: Algorithms, Least Squares Statistics, Mathematical Models, Measurement

Messmer, Donald J.; Solomon, Robert J. – Educational and Psychological Measurement, 1979
A method for testing differential predictability in a selection model was illustrated on data from 103 male and 24 female graduate students. Since the models were not homogeneous in the variance, a method for adjusting for heterogeneity was presented. (Author/CTM)
Descriptors: Admission Criteria, Graduate Students, Higher Education, Mathematical Models

Ramsay, J. O. – Psychometrika, 1980
In studies involving judgments of similarity or dissimilarity, a variety of other variables may also be measured. In such cases, there are important advantages to joint analyses of the dissimilarity and collateral variables. A variety of models are described for relating these and algorithms are described for fitting these to data. (Author/JKS)
Descriptors: Data Analysis, Guessing (Tests), Mathematical Models, Measurement Techniques

Yeshurun, Shraga – International Journal of Mathematical Education in Science and Technology, 1980
Presented is an example meant to enable students with a scant mathematical education to grasp the meaning of the limit of the binomial distribution. (Author/TG)
Descriptors: Higher Education, Mathematical Concepts, Mathematical Models, Mathematics Education

Jain, Ram B.; Hsu, Tse-Chi – Journal of Experimental Education, 1980
Six estimators of treatment effect when assignment to treatment groups is based on the covariate are compared in terms of empirical standard errors and percent relative bias. Results show that simple analysis of covariance estimator is not always appropriate. (Author/GK)
Descriptors: Analysis of Covariance, Experimental Groups, Mathematical Models, Quasiexperimental Design

Kelderman, Henk; And Others – Multivariate Behavioral Research, 1981
Guilford's structure of intellect model and an alternative model were compared using oblique and orthogonal factors. Using covariance structure analysis it was found that the fit of the oblique Guilford model was better than that of the alternative oblique model. (Author/RL)
Descriptors: Analysis of Covariance, Goodness of Fit, Mathematical Models, Oblique Rotation

Goodman, Leo A. – Psychometrika, 1979
An iterative procedure to obtain maximum likelihood estimates of latent structure analysis parameters is described. The procedure is defended against a critic (EJ 187 975) who contended that it would permit unacceptable estimates. (JKS)
Descriptors: Data Analysis, Mathematical Models, Maximum Likelihood Statistics, Psychometrics

Shapiro, Perry; And Others – National Tax Journal, 1979
The message of Proposition 13 appears to be a demand for smaller residential property tax burdens but not for a reduction in current service levels for most public sector activities. Available from Stanley J. Bowers, Executive Director, NTA-TIA, 21 East State Street, Columbus, OH 43215; sc $5.00. (Author/IRT)
Descriptors: Finance Reform, Government Role, Mathematical Models, Property Taxes

Berne, Robert; Stiefel, Leanna – Journal of Education Finance, 1979
Elaborates on distinctions between different formulations of taxpayer equity. First, taxpayer equity is examined from the school finance perspective, then notions of taxpayer equity that are more consistent with public finance views, but that can and have been applied to education, are introduced. (Author/IRT)
Descriptors: Educational Finance, Elementary Secondary Education, Equalization Aid, Finance Reform

Cramer, Elliot M.; Appelbaum, Mark I. – Review of Educational Research, 1978
Assuming conditional normality and independence, standard estimation and hypothesis testing procedures for regression coefficients are the same whether using fixed x values, random x values or mixed fixed and random values. Contrary to Sockloff's suggestion, polynomial regression is useful with either fixed or random models. (See EJ 142 050). (CP)
Descriptors: Error of Measurement, Mathematical Models, Multiple Regression Analysis, Research Reviews (Publications)

Grandon, Gary M. – Socio-Economic Planning Sciences, 1979
A quantitative model is described for the optimal assignment of students to courses for their complete high school careers. Model-generated student schedules are found to be unfailing in their conformity to all the constraints of the test high school's curriculum. (Author/IRT)
Descriptors: Computer Programs, High School Students, High Schools, Mathematical Models

Smith, Kent W.; Sasaki, M. S. – Sociological Methods and Research, 1979
A method is proposed for overcoming the problem of multicollinearity in multiple regression equations where multiplicative independent terms are entered. The method is not a ridge regression solution. (JKS)
Descriptors: Correlation, Hypothesis Testing, Mathematical Models, Multiple Regression Analysis

Emery, Douglas R.; Barron, F. Hutton – Psychometrika, 1979
There are two complementary approaches to conjoint measurement: axiomatic and numerical. In this article, synthetic data are used to examine how well axiomatic and conjoint measurement methods, individually and comparatively, recover parameters from data with three dimensions. (JKS)
Descriptors: Comparative Analysis, Mathematical Models, Measurement, Psychometrics

Smith, David A. – American Mathematical Monthly, 1979
A course in mathematical model-building is described. Suggested modeling projects include: urban problems, biology and ecology, economics, psychology, games and gaming, cosmology, medicine, history, computer science, energy, and music. (MK)
Descriptors: College Mathematics, Course Descriptions, Curriculum Guides, Higher Education