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Wetcher-Hendricks, Debra – Psychological Methods, 2006
With respect to the often-present covariance between error terms of correlated variables, D. W. Zimmerman and R. H. Williams's (1977) adjusted correction for attenuation estimates the strength of the pairwise correlation between true scores without assuming independence of error scores. This article focuses on the derivation and analysis of…
Descriptors: Correlation, Scores, Error Correction, Error of Measurement
Liou, Michelle; And Others – 1996
This research derives simplified formulas for computing the standard error of the frequency estimation method for equating score distributions that are continuized using a uniform or Gaussian kernel function (P. W. Holland, B. F. King, and D. T. Thayer, 1989; Holland and Thayer, 1987). The simplified formulas are applicable to equating both the…
Descriptors: Equated Scores, Error of Measurement, Mathematical Models
Frederick, Brigitte N. – 1999
Most researchers using analysis of variance (ANOVA) use a fixed-effects model. However, a random- or mixed-effects model may be a more appropriate fit for many research designs. One benefit of the random- and mixed-effects models is that they yield more generalizable results. This paper focuses on the similarities and differences between the…
Descriptors: Analysis of Variance, Mathematical Models, Research Design
Benton, Roberta L. – 1991
The redundancy statistic (Rd) is discussed in relation to canonical correlation analysis. The index is a measure of the variance of one set of variables predicted from the linear combination of the other set of variables. A small data set (N=6) from the work of D. Clark (1975) was analyzed using SPSS-X. Two sets of two variables each were…
Descriptors: Correlation, Mathematical Models, Multivariate Analysis, Predictive Measurement
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Bookstein, Abraham; Swanson, Don R. – Journal of the American Society for Information Science, 1975
A model of word occurrences in documents is presented in the context of a model information system. (Author/PF)
Descriptors: Indexing, Information Retrieval, Information Systems, Mathematical Models
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Glockmann, H. P.; Ludwig, B. M. – Journal of the American Society for Information Science, 1975
A statistical description of a text retrieval system allows the derivation of a unique and measurable performance criterion that, in turn, may be used in discussing various parameters of systems performance. (Author/PF)
Descriptors: Databases, Information Retrieval, Mathematical Models, Statistical Analysis
Zimmerman, Donald W. – Educ Psychol Meas, 1969
Descriptors: Item Analysis, Mathematical Models, Measurement, Test Reliability
SAW, J.G. – 1964
THIS VOLUME DEALS WITH THE BIVARIATE NORMAL DISTRIBUTION. THE AUTHOR MAKES A DISTINCTION BETWEEN DISTRIBUTION AND DENSITY FROM WHICH HE DEVELOPS THE CONSEQUENCES OF THIS DISTINCTION FOR HYPOTHESIS TESTING. OTHER ENTRIES IN THIS SERIES ARE ED 003 044 AND ED 003 045. (JK)
Descriptors: Hypothesis Testing, Mathematical Models, Mathematics, Statistical Analysis
Bulcock, J. W.; And Others – 1980
Multicollinearity refers to the presence of highly intercorrelated independent variables in structural equation models, that is, models estimated by using techniques such as least squares regression and maximum likelihood. There is a problem of multicollinearity in both the natural and social sciences where theory formulation and estimation is in…
Descriptors: Comparative Analysis, Mathematical Models, Measurement Techniques, Theories
Greenwald, Herbert J. – 1969
A mathematical model of opinion change was tested interrelating 3 fundamental factors affecting social influence: the weight accorded the influencer's opinion by the subject (the communicator's credibility); the weight the subject accorded his own initial viewpoint (the subject's self-confidence); and the size of the difference in opinion between…
Descriptors: Higher Education, Mathematical Models, Opinions, Social Influences
Titiev, Robert Jay – 1969
The major results of this dissertation are theorems to the effect that certain classes of relational structures are not axiomatizable by universal sentences. Some of the particular classes considered are theories of measurement in the sense of the Scott-Suppes definition while others are theories of measurement according to a natural…
Descriptors: Mathematical Applications, Mathematical Concepts, Mathematical Models, Measurement
Counelis, James Steve – 1971
The open systems model of the university defines the function of institutional research to be a cybernetic one. The internal and external reality-testing function is a vital duty and a moral charge. Though policy makers and educational practitioners can carry on for a considerable length of time with organizational intelligence of low validity,…
Descriptors: Higher Education, Institutional Research, Mathematical Models, Philosophy
Willson, Victor L. – 1973
A model for the integrated moving averages process of order one, IMA (1, 1), having a seasonal (cyclic) component is presented. The model incorporates a parameter for possible change in level of the process after intervention, following methods developed by Box and Tiao (1965), and Glass, Willson, and Gottmann (1972). Least-squares estimates and…
Descriptors: Linear Programing, Mathematical Models, Speeches, Statistical Analysis
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Gold, E. Mark; Hoffman, Paul J. – Multivariate Behavioral Research, 1976
A clustering technique is described, the objective of which is to detect deviant subpopulations which deviate from a primary subpopulation in a well defined direction. (Author/DEP)
Descriptors: Algorithms, Cluster Analysis, Cluster Grouping, Mathematical Models
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Johnson, Thomas – American Economic Review, 1978
Explores the properties of a life cycle model of human capital accumulation under the assumptions that the individual cannot borrow to finance his schooling, but may receive an allowance while specializing. (Author/IRT)
Descriptors: Human Capital, Mathematical Models, Statistical Analysis, Students
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