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What Works Clearinghouse Rating
McLean, Mick; Shepherd, Paul – Futures, 1976
Argues that conventional dynamic modeling techniques divert attention from the importance of model structure and discusses various methods of system representation that are suitable for the analysis and improvement of model structure. (Available from IPC (America) Inc., 205 East 42 Street, New York, NY 10017; $46.80 annually.) (Author/JG)
Descriptors: Data Analysis, Definitions, Mathematical Concepts, Mathematical Models
Peer reviewedMulaik, Stanley A.; McDonald, Roderick P. – Psychometrika, 1978
Solutions for the indeterminate common factor of a group of variables satisfying the single common factor model are not unique. This paper examines a number of thereoms concerning that problem and draws conclusions from them for factor analysis in general. (Author/JKS)
Descriptors: Data Analysis, Factor Analysis, Mathematical Models, Matrices
Richards, Winston A. – MATYC Journal, 1978
The students in a basic course on probability and statistics in Trinidad demonstrated that the number of fatal highway accidents appeared to follow a Poisson distribution while the length of time between deaths followed exponential distribution. (MN)
Descriptors: College Mathematics, Data Analysis, Higher Education, Mathematical Models
Peer reviewedHarrop, John W.; Velicer, Wayne F. – Multivariate Behavioral Research, 1985
Computer generated data representative of 16 Auto Regressive Integrated Moving Averages (ARIMA) models were used to compare the results of interrupted time-series analysis using: (1) the known model identification, (2) an assumed (l,0,0) model, and (3) an assumed (3,0,0) model as an approximation to the General Transformation approach. (Author/BW)
Descriptors: Computer Simulation, Data Analysis, Mathematical Models, Matrices
Peer reviewedHodapp, Volker; Wermuth, Nanny – Multivariate Behavioral Research, 1983
Decomposable models, which allow for the interdependence of structure among observable variables, are described. Each model is fully characterized by a set of conditional interdependence restrictions and can be visualized with an undirected as well as a special type of directed graph. (Author/JKS)
Descriptors: Correlation, Data Analysis, Estimation (Mathematics), Mathematical Models
Peer reviewedJackson, Paul R. – Mathematical Spectrum, 1972
The probabilities of certain English football teams winning different playoffs are determined. In each case, a mathematical model is fitted to the observed data, assumptions are verified, and the calculations performed. (LS)
Descriptors: College Mathematics, Data Analysis, Mathematical Applications, Mathematical Models
Peer reviewedBechtel, Gordon G.; And Others – Psychometrika, 1971
Contains a solution for the multidimensional scaling of pairwise choice when individuals are represented as dimensional weights. The analysis supplies an exact least squares solution and estimates of group unscalability parameters. (DG)
Descriptors: Data Analysis, Mathematical Models, Measurement Techniques, Multidimensional Scaling
Peer reviewedLuftig, Jeffrey T. – Journal of Studies in Technical Careers, 1983
This article reviews some of the less well-known hypothesis tests for variance, how they are employed, and how the results may be interpreted. Tests include testing for a single variance and the T-test for correlated variances. (CT)
Descriptors: Analysis of Variance, Data Analysis, Hypothesis Testing, Mathematical Models
Peer reviewedLangeheine, Rolf – Psychometrika, 1982
The degree to which Procrustean Individual Differences Scaling can be extended to related topics such as target analysis is discussed and a Monte Carlo study investigating the fit of the model under various conditions is presented. (JKS)
Descriptors: Data Analysis, Goodness of Fit, Individual Differences, Mathematical Models
Jarjoura, David; Brennan, Robert L. – New Directions for Testing and Measurement, 1983
Multivariate generalizability techniques are used to bridge the gap between psychometric constraints and the tables of specifications needed in test development. Techniques are illustrated with results from the American College Testing Assessment Program. (Author/PN)
Descriptors: Data Analysis, Mathematical Models, Multivariate Analysis, Test Construction
Peer reviewedCarr, John W.; And Others – Journal of Educational Statistics, 1982
Several randomized response models for gathering self-report data when persons are asked sensitive questions are reviewed. A new general model for reducing error by asking questions conditional upon earlier answers is introduced. Hypothesis testing and confidence-interval procedures are demonstrated for data collected by the randomized response…
Descriptors: Data Analysis, Hypothesis Testing, Interviews, Mathematical Models
Peer reviewedBerk, Richard A.; And Others – American Sociological Review, 1981
Examines data from California from the 1850 opening of the prison system to 1970. Finds no evidence to support the hypothesis that, for a given society over time and in the absence of major societal upheaval, the proportion of people subjected to punishment by the state closely approximates a constant. (Author/GC)
Descriptors: Crime, Data Analysis, Mathematical Models, Prisoners
Peer reviewedLee, Sik-Yum – Psychometrika, 1980
This paper demonstrates the feasibility of using the penalty function method to estimate parameters that are subject to a set of functional constraints in covariance structure analysis. Both types of inequality and equality constraints are studied. The approaches of maximum likelihood and generalized least squares estimation are considered.…
Descriptors: Analysis of Covariance, Data Analysis, Factor Analysis, Hypothesis Testing
Peer reviewedAnderson, Carolyn J. – Psychometrika, 1996
Generalizations of L. A. Goodman's RC(M) association model (1991 and earlier) are presented for three-way tables. These three-mode association models use L. R. Tucker's three-mode components model (1964, 1966) to represent the three-factor interaction or the combined effects of two- and three-factor interactions. (SLD)
Descriptors: Classification, Data Analysis, Developmental Psychology, Equations (Mathematics)
Peer reviewedNicholls, Paul Travis – Journal of the American Society for Information Science, 1989
Examines the elements involved in fitting a bibliometric model to empirical data, proposes a consistent methodology for applying Lotka's law, and presents the results of an empirical test of the methodology. The results are discussed in terms of the validity of Lotka's law and the suitability of the proposed methodology. (49 references) (CLB)
Descriptors: Bibliometrics, Data Analysis, Goodness of Fit, Mathematical Models


