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Kirk, David B. – 1971
Improvements of the Gaussian quadrature in conjunction with the Newton-Raphson iteration technique (TM 000 789) are discussed as effective methods of calculating the bivariate normal correlation coefficient. (CK)
Descriptors: Algorithms, Computer Programs, Correlation, Mathematical Models
Fishburn, Peter C. – 1972
Two formulations for lexicographic preferences are characterized by axioms which avoid direct reference to the importance ordering of wants or criteria that is part of the lexicographic principle. A condition which identifies the noncompensatory nature of lexicographic preferences emerges in each axiomatization. The first formulation involves…
Descriptors: Decision Making, Lexicography, Mathematical Logic, Mathematical Models
Rubin, Donald B. – 1973
Most articles on missing values assume the missing data are "missing at random" and ignore the process that "caused" the missing values. The condition under which this procedure is justified is explored here: the concept of missing at random is precisely defined, several examples are discussed, and two simple conditions are given which are…
Descriptors: Bulletins, Data Analysis, Mathematical Models, Research Reports
Peer reviewedDickinson, Terry L. – Educational and Psychological Measurement, 1976
Linear models are available for describing dominance and composition judgements. These models include parameters for the scale values of the stimuli, response order bias, and interaction between stimuli, all of which may be evaluated with analysis of variance procedures. (Author)
Descriptors: Analysis of Variance, Computer Programs, Data Analysis, Mathematical Models
Peer reviewedHuck, Schuyler W.; Malgady, Robert G. – Educational and Psychological Measurement, 1978
The computation of F ratios from cell means and standard deviations is shown for a two-way analysis of variance. (JKS)
Descriptors: Analysis of Variance, Data Analysis, Hypothesis Testing, Mathematical Models
Peer reviewedGaebelein, Jacquelyn W.; Soderquist, David R. – Educational and Psychological Measurement, 1978
Procedures to estimate the magnitude of a treatment effect are examined for analysis of variance (ANOVA) designs which have repeated-measures. In particular, it is argued that the estimate of utility (strength of effect) for a within-subjects variable should be adjusted to reflect the underlying ANOVA model. (Author/JKS)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Research Design
Peer reviewedNovick, Melvin R.; Lindley, Dennis V. – Journal of Educational Measurement, 1978
The use of some very simple loss or utility functions in educational evaluation has recently been advocated by Gross and Su, Petersen and Novick, and Petersen. This paper demonstrates that more realistic utility functions can easily be used and may be preferable in some applications. (Author/CTM)
Descriptors: Bayesian Statistics, Cost Effectiveness, Mathematical Models, Statistical Analysis
Peer reviewedHannon, Bruce; And Others – Science, 1978
An energy input-output model was used to investigate energy and employment in the construction industry. (Author/BB)
Descriptors: Construction Industry, Economics, Energy, Mathematical Models
Peer reviewedMcDonald, Roderick P. – Educational and Psychological Measurement, 1978
It is shown that if a behavior domain can be described by the common factor model with a finite number of factors, the squared correlation between the sum of a selection of items and the domain total score is actually greater than coefficient alpha. (Author/JKS)
Descriptors: Factor Analysis, Item Analysis, Mathematical Models, Measurement
Peer reviewedCohen, Patricia – Multiple Linear Regression Viewpoints, 1978
Commentary is presented on the preceding articles in this issue of the journal. Critical commentary is made article by article, and some general recommendations are made. (See TM 503 664 through 670). (JKS)
Descriptors: Data Analysis, Mathematical Models, Multiple Regression Analysis, Research Design
Peer reviewedRyan, Thomas P. – Multiple Linear Regression Viewpoints, 1978
The problem of selecting regression variables using cost criteria is considered. A method is presented which approximates the optimal solution of one of several criterion functions which might be employed. Examples are given and the results are compared with the results of other methods. (Author/JKS)
Descriptors: Cost Effectiveness, Data Analysis, Mathematical Models, Multiple Regression Analysis
Peer reviewedShapiro, Perry; Morgan W. Douglas – National Tax Journal, 1978
Develops a general revenue model that incorporates the feedback and interaction between major federal, state, and local revenue sources. The model is applied to California for the 1965-75 period and the results are applied to an analysis of the property tax limitation initiative. Available from Stanley J. Bowers, Executive Director, NTA-TIA, 21…
Descriptors: Income, Mathematical Models, Property Taxes, Statistical Analysis
Peer reviewedHofmann, Richard J. – Multivariate Behavioral Research, 1978
A computational algorithm, called the orthotran solution, is developed for determining oblique factor analytic solutions utilizing orthogonal transformation matrices. Selected results from illustrative studies are provided. (Author/JKS)
Descriptors: Factor Analysis, Mathematical Models, Matrices, Oblique Rotation
Peer reviewedBrennan, Robert L.; Kane, Michael T. – Journal of Educational Measurement, 1977
An index for the dependability of mastery tests is described. Assumptions necessary for the index and the mathematical development of the index are provided. (Author/JKS)
Descriptors: Criterion Referenced Tests, Mastery Tests, Mathematical Models, Test Reliability
Peer reviewedKrus, David J. – Educational and Psychological Measurement, 1977
Order analysis is discussed as a method for description of formal structures in multidimensional space. Its algorithm was derived using a combination of psychometric theory, formal logic theory, information theory, and graph theory concepts. The model provides for adjustment of its sensitivity to random variation. (Author/JKS)
Descriptors: Mathematical Models, Measurement, Multidimensional Scaling, Rating Scales


