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Peer reviewedHolling, Heinz – Educational and Psychological Measurement, 1983
Recent theoretical analyses of the concept of suppression are identified and discussed. A generalized definition of suppression is presented and the conditions for suppressor structures in the context of the General Linear Model are derived. (Author)
Descriptors: Mathematical Models, Multiple Regression Analysis, Research Methodology, Statistical Analysis
Peer reviewedGerbing, David W.; Hunter, John E. – Educational and Psychological Measurement, 1982
In a LISREL-IV analysis, a method of specifying a priori the variances of the latent variables for interpretability is demonstrated. The potential confusion of the metric of the latent variables is discussed, since many of the parameter estimates are a function of the metric. (Author/CM)
Descriptors: Computer Programs, Factor Analysis, Mathematical Models, Maximum Likelihood Statistics
Peer reviewedRaju, Nambury S. – Educational and Psychological Measurement, 1982
A necessary and sufficient condition for a perfectly homogeneous test in the sense of Loevinger is stated and proved. Using this result, a formula for computing the maximum possible KR-20 when the test variance is assumed fixed is presented. A new index of test homogeneity is also presented and discussed. (Author/BW)
Descriptors: Mathematical Formulas, Mathematical Models, Multiple Choice Tests, Test Reliability
Peer reviewedPruzek, Robert M.; Rabinowitz, Stanley N. – American Educational Research Journal, 1981
Simple modifications of principal component methods are described that have distinct advantages for structural analysis of relations among educational and psychological variables. The methods are contrasted theoretically and empirically with conventional principal component methods and with maximum likelihood factor analysis. (Author/GK)
Descriptors: Factor Analysis, Mathematical Models, Maximum Likelihood Statistics, Multivariate Analysis
Peer reviewedCattell, Raymond B. – Multivariate Behavioral Research, 1982
A data analysis model is proposed for studies concerning attribution theory. The model is based on the author's previous work in the area of trait view theory. (JKS)
Descriptors: Attribution Theory, Data Analysis, Individual Differences, Mathematical Models
Peer reviewedMelzer, Charles W.; And Others – Educational and Psychological Measurement, 1981
The magnitude of statistical bias for the phi-coefficient was investigated, using computer simulated examinations in which all the students had equal knowledge. Several modifications of phi were tested, but when applied to real examinations, none succeeded in improving its reproducibility when items are re-used on equivalent student groups.…
Descriptors: Correlation, Item Analysis, Mathematical Models, Multiple Choice Tests
Peer reviewedDeSarbo, Wayne S. – Psychometrika, 1981
Canonical correlation and redundancy analysis are two approaches to analyzing the interrelationships between two sets of measurements made on the same variables. A component method is presented which uses aspects of both approaches. An empirical example is also presented. (Author/JKS)
Descriptors: Correlation, Data Analysis, Factor Analysis, Mathematical Models
Peer reviewedPerline, Richard; And Others – Applied Psychological Measurement, 1979
Rasch's psychometric model is presented as a special case of additive conjoint measurement. Two data sets, each of which was analyzed using Rasch scaling methods as well as some of the methods of conjoint measurement, are compared. (Author/JKS)
Descriptors: Comparative Analysis, Mathematical Models, Measurement Techniques, Psychometrics
Peer reviewedThomas, Hoben – Psychometrika, 1981
Psychophysicists neglect to consider how error should be characterized in applications of the power law. Failures of the power law to agree with certain theoretical predictions are examined. A power law with lognormal product structure is proposed and approximately unbiased parameter estimates given for several common estimation situations.…
Descriptors: Mathematical Models, Power (Statistics), Psychophysiology, Statistical Bias
Peer reviewedHuynh, Huynh – Journal of Educational Statistics, 1981
Simulated data based on five test score distributions indicate that a slight modification of the asymptotic normal theory for the estimation of the p and kappa indices in mastery testing will provide results which are in close agreement with those based on small samples from the beta-binomial distribution. (Author/BW)
Descriptors: Error of Measurement, Mastery Tests, Mathematical Models, Test Reliability
Peer reviewedTeece, David J. – Management Science, 1980
Explains the diffusion of an innovative administrative structure (the "M-Form") by using a simple deterministic model commonly employed to represent the diffusion of technological innovations. The performance of the model suggests that additional insights from the study of technological innovation can be applied to the study of…
Descriptors: Administration, Administrative Organization, Adoption (Ideas), Diffusion
Peer reviewedBorg, Ingiver; Lingoes, James C. – Psychometrika, 1980
A method for externally constraining certain distances in multidimensional scaling configurations is introduced and illustrated. The method is described in detail and several examples are presented. (Author/JKS)
Descriptors: Algorithms, Hypothesis Testing, Mathematical Models, Multidimensional Scaling
Peer reviewedLehner, Paul E.; Norma, Elliot – Psychometrika, 1980
A new algorithm is used to test and describe the set of all possible solutions for any linear model of an empirical ordering derived from techniques such as additive conjoint measurement, unfolding theory, general Fechnerian scaling, and ordinal multiple regression. The algorithm is computationally faster and numerically superior to previous…
Descriptors: Algorithms, Mathematical Models, Measurement, Multiple Regression Analysis
Hinson, Marilyn N.; And Others – Research Quarterly, 1979
A mathematical argument is presented for a particular definition of the term "isokinetics." (MM)
Descriptors: Definitions, Human Body, Mathematical Applications, Mathematical Models
Peer reviewedPreece, Peter F. W. – Journal of Experimental Education, 1978
Using a degenerate multivariate normal model for the distribution of organismic variables, the form of least-squares regression analysis required to estimate a linear functional relationship between variables is derived. It is suggested that the two conventional regression lines may be considered to describe functional, not merely statistical,…
Descriptors: Mathematical Models, Multiple Regression Analysis, Regression (Statistics), Statistical Analysis


