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Sorbom, Dag – Psychometrika, 1978
A general statistical model for simultaneous analysis of data from several groups is described. The model is primarily designed to be used for the analysis of covariance. The model can handle any number of covariates and criterion variables, and any number of treatment groups. (Author/JKS)
Descriptors: Analysis of Covariance, Hypothesis Testing, Mathematical Models, Research Design

Penfield, Douglas A. – Educational and Psychological Measurement, 1978
The normal scores test for scale (variance) is presented as an alternative for evaluating the equality of dispersion for two independent populations. Test development is indicated as well as examples illustrating large and small sample situations. Reference is made to comparisons with the F, Mood, and Siegel-Tukey tests. (Author/JKS)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Nonparametric Statistics

Natale, Joseph L. – Planning and Changing, 1978
Network analysis is a dynamic tool for managing routine administrative and operating procedures. The network serves as a mathematical model that identifies the relationships, interdependencies, and constraints in a project showing the sequential steps needed to reach a given objective event. (Author/IRT)
Descriptors: Elementary Secondary Education, Facility Planning, Management Systems, Mathematical Models

Hutchinson, T. P. – Journal of Documentation, 1978
Suggests that a possible reason for receiver-operating characteristics (ROC) curves having a slope other than unity when plotted on Normal-deviate axes is that the dichotomy into relevant and nonrelevant items is artificial, and that there is really a bivariate distribution of objective relevance and relevance as assessed by the information…
Descriptors: Information Retrieval, Information Systems, Mathematical Models, Performance Criteria

Uche, P. I. – International Journal of Mathematical Education in Science and Technology, 1978
Mathematical modeling has gained prominence as a means of improving educational planning. One often-used model is the Markovian Model. It is shown that education, being hierarchical, is amenable to Markov-type analysis. Some consequences of the model and some results of its application in Nigeria are noted. (Author/MP)
Descriptors: Educational Planning, Elementary Secondary Education, Higher Education, Mathematical Models

Mason, Robert M.; Sassone, Peter G. – Information Processing and Management, 1978
Describes an economic modeling approach to evaluating the cost and benefits associated with providing information services through information centers. The approach develops a framework for understanding observations about the demand for scientific and technical information and integrating these observations with fundamental economic principles.…
Descriptors: Cost Effectiveness, Evaluation, Flow Charts, Information Centers

Praunlich, Peter; Kroll, Michael – Journal of the American Society for Information Science, 1978
Recent mathematical descriptions of Bradford's distribution, and a new formulation that provides a more accurate estimation of the total number of papers and sources on a given scientific subject are presented. (Author/MBR)
Descriptors: Bibliographies, Content Analysis, Graphs, Mathematical Models

Rogan, Joanne C.; Keselman, H. J. – American Educational Research Journal, 1977
The effects of variance heterogeneity on the empirical probability of a Type I error for the analysis of variance (ANOVA) F-test are examined. The rate of Type I error varies as a function of the degree of variance heterogeneity, and the ANOVA F-test is not always robust to variance heterogeneity when sample sizes are equal. (Author/JAC)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Statistical Analysis

Young, Forrest W.; And Others – Psychometrika, 1978
Principal components analysis is generalized to the case where any of the variables under consideration can be nominal, ordinal or interval. Hotelling's original formulation is seen to be a special case of this generalization. (JKS)
Descriptors: Correlation, Factor Analysis, Mathematical Models, Matrices

Harris, Chester W. – Psychometrika, 1978
A simple roof is presented: that the squared multiple correlation of a variable with the remaining variables in the set of variables is a lower bound to the communality of that variable. (Author/JKS)
Descriptors: Correlation, Data Analysis, Factor Analysis, Mathematical Models

Jordan, Thomas E. – Multiple Linear Regression Viewpoints, 1978
The use of interaction and non-linear terms in multiple regression poses problems for determining parsimonious models. Several computer programs for using these terms are discussed. (JKS)
Descriptors: Computer Programs, Data Analysis, Mathematical Models, Multiple Regression Analysis

Huberty, Carl J.; Curry, Allen R. – Multivariate Behavioral Research, 1978
Classification is a procedure through which individuals are classified as being members of a particular group based on a variety of independent variables. Two methods of makin such classifications are discussed; the quadratic method is seen to be superior to the linear under certain constraints. (JKS)
Descriptors: Analysis of Covariance, Classification, Discriminant Analysis, Groups

Hirst, Graeme – Journal of the American Society for Information Science, 1978
A method of determining core journals for any discipline, using data from the Journal Citation Reports to generate discipline impact factors, is described. (Author)
Descriptors: Citations (References), Library Material Selection, Mathematical Models, Methods

MacCallum, Robert C.; Cornelius, Edwin T., III – Psychometrika, 1977
A Monte Carlo study was carried out to investigate the ability of the ALSCAL multidimensional scaling program to recover true structure inherent in simulated proximity data. The results under varying conditions were mixed. Practical implications and suggestions for further research are discussed. (Author/JKS)
Descriptors: Computer Programs, Individual Differences, Mathematical Models, Monte Carlo Methods

Meredith, William – Psychometrika, 1977
A group of factor analytic rotation procedures are developed which yield both hyperplane fittings and oblique Procrustean analyses as special cases. It is generally supposed that these techniques are rather different in approach. Illustrations are presented and discussed. (Author/JKS)
Descriptors: Factor Analysis, Mathematical Models, Matrices, Oblique Rotation