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Tatsuoka, Kikumi; Linn, Robert L. – 1981
Two distinct approaches, one based on item response theory and the other based on observed item responses and standard summary statistics, have been proposed to identify unusual response patterns. A link between these two approaches is provided by showing certain correspondences between Sato's S-P Curve Theory and item response theory. This link…
Descriptors: Arithmetic, Computer Assisted Testing, Latent Trait Theory, Matrices
Shoemaker, David M. – 1972
Investigated empirically through post mortem item-examinee sampling was the feasibility of the jackknife as a procedure for approximating standard errors of estimate in multiple matrix sampling. The parameters estimated were the mean test score, second through fourth central moments of the test score distribution, and the variance of the item…
Descriptors: Error of Measurement, Error Patterns, Item Sampling, Matrices
Browne, Michael W. – 1973
Gradient methods are employed in orthogonal oblique analytic rotation. Constraints are imposed on the elements of the transformation matrix by means of reparameterisations. (Author)
Descriptors: Algorithms, Factor Analysis, Matrices, Oblique Rotation
Peer reviewedLee, Howard B.; Comrey, Andrew L. – Multivariate Behavioral Research, 1978
Two proposed methods of factor analyzing a correlation matrix using only the off-diagonal elements are compared. The purpose of these methods is to avoid using the diagonal communality elements which are generally unknown and must be estimated. (Author/JKS)
Descriptors: Comparative Analysis, Correlation, Factor Analysis, Matrices
Peer reviewedArabie, Phipps – Psychometrika, 1978
An examination is made concerning the utility and design of studies comparing nonmetric multidimensional scaling algorithms and their initial configurations, as well as the agreement between the results of such studies. Various practical details of nonmetric scaling are also considered. (Author/JKS)
Descriptors: Correlation, Goodness of Fit, Matrices, Monte Carlo Methods
Peer reviewedEaves, David – Journal of Multivariate Analysis, 1976
Vector sum of a white noise in an unknown hyperspace and an Ornstein-Uhlenbeck process in an unknown line is observed through sharp linear test functions over a finite time span. Parameters associated with white noise are determinable and index measure-equivalence classes in relevant sample space. Intraclass relative density provides a basis for…
Descriptors: Analysis of Covariance, Bayesian Statistics, Diffusion, Mathematical Models
Peer reviewedBell, John F. – Journal of Educational Statistics, 1985
This paper outlines the problems associated with the estimation of variance components in generalizability analyses using analysis of variance software, and discusses the most useful software currently available for this specialist application: the MIVQUE method of the Statistical Analysis System (SAS) procedure VARCOMP. (Author)
Descriptors: Analysis of Variance, Computer Software, Generalizability Theory, Matrices
Peer reviewedJoe, George W.; Woodward, J. Arthur – Psychometrika, 1976
This article is concerned with estimation of components of maximum generalizability in multifacet experimental designs involving multiple dependent measures. An example of a two-facet partially nested design is provided. (Author/RC)
Descriptors: Analysis of Variance, Correlation, Matrices, Reliability
Ledvinka, James; And Others – Personnel Administrator, 1976
Describes a staffing matrix that provides a concise summary making it possible to compare race and sex groups on any staffing action. (Author/IRT)
Descriptors: Affirmative Action, Employment Patterns, Employment Projections, Matrices
Supattathum, Suchada; And Others – 1994
Multiple-hypothesis testing in the context of a correlation matrix is used to compare the statistical power of the original Bonferroni with six modified Bonferroni procedures that control the overall Type I error rate. Three definitions of statistical power are considered: (1) the ability to detect at least one true relationship; (2) the ability…
Descriptors: Correlation, Hypothesis Testing, Matrices, Power (Statistics)
Huberty, Carl J. – 1982
The mathematical extension from scalars to matrices as a prerequisite for univariate to multivariate generalizations of statistical concepts and methods is discussed. One reason for several alternative techniques is the multitude of ways to generalize from univariate concepts to multivariate concepts. The additional complexity, and lack of…
Descriptors: Analysis of Variance, Data Analysis, Hypothesis Testing, Matrices
Peer reviewedPolson, Peter G.; Huizinga, David – Psychometrika, 1974
Descriptors: Algorithms, Computer Programs, Goodness of Fit, Learning Processes
Peer reviewedGleason, Terry C.; Staelin, Richard – Psychometrika, 1975
Presents a new approach for estimating missing observations together with the results of a Monte Carlo study of the relative strengths and weaknesses of this technique and three other available methods. These techniques are then examined with respect to their ability to use incomplete data to estimate the correlation matrix obtained using a full…
Descriptors: Comparative Analysis, Correlation, Data Analysis, Matrices
Shoemaker, David M. – 1972
Investigated empirically through post mortem item-examinee sampling were the relative merits of two alternative procedures for allocating items to subtests in multiple matrix sampling and the feasibility of using the jackknife in approximating standard errors of estimate. The results indicate clearly that a partially balanced incomplete block…
Descriptors: Error of Measurement, Item Sampling, Matrices, Sampling
Betz, M. Austin – 1976
Simultaneous test procedures (STPS for short) in the context of the unrestricted full rank general linear multivariate model for population cell means are introduced and utilized to analyze interactions in factorial designs. By appropriate choice of an implying hypothesis, it is shown how to test overall main effects, interactions, simple main,…
Descriptors: Analysis of Variance, Hypothesis Testing, Interaction, Mathematical Models


