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Hubert, Lawrence J.; Baker, Frank B. – Journal of Educational Statistics, 1977
A statistical technique is proposed for comparing an empirically obtained matrix of the perceived similarity of paired stimuli against a set of distinctive features that supposedly characterize the stimuli on which the matrix is based. The statistical development of the technique and an example are presented. (Author/JKS)
Descriptors: Cues, Hypothesis Testing, Matrices, Nonparametric Statistics
Peer reviewed Peer reviewed
Weinberg, Sharon L.; Darlington, Richard B. – Journal of Educational Statistics, 1976
Problems of sampling error and accumulated rounding error in canonical variate analysis are discussed. A new technique is presented which appears to be superior to canonical variate analysis when the ratio of variables to sampling units is greater than one to ten. Examples are presented. (Author/JKS)
Descriptors: Correlation, Matrices, Multivariate Analysis, Sampling
Peer reviewed Peer reviewed
Mislevy, Robert J.; Sheehan, Kathleen M. – Journal of Educational Statistics, 1989
The structure of information matrices in latent-variable models is explicated, and the degree to which missing information can be recovered by exploring collateral variables for respondents is characterized. Results are illustrated in the context of item-response-theory models, and practical implications are discussed. (SLD)
Descriptors: Equations (Mathematics), Item Response Theory, Mathematical Models, Matrices
Peer reviewed Peer reviewed
Schultz, James V.; Hubert, Lawrence – Journal of Educational Statistics, 1976
Illustrates a simple nonparametric alternative that can be used to test a hypothesis that two proximity matrices on the same set of variables or objects reflect a similar pattern of high and low entries. (RC)
Descriptors: Correlation, Data Analysis, Hypothesis Testing, Matrices
Peer reviewed Peer reviewed
Hubert, Lawrence; Baker, Frank B. – Journal of Educational Statistics, 1976
Presents an exposition of two data reduction methods--single-link and complete-link hierarchical clustering. Emphasis is on statistical techniques for evaluating the adequacy of a completed partition hierarchy and the individual partitions within the sequence. A numerical reanalysis of data illustrates the methodology. (RC)
Descriptors: Cluster Grouping, Data Analysis, Evaluation, Hypothesis Testing
Peer reviewed Peer reviewed
Knapp, Thomas R. – Journal of Educational Statistics, 1979
This paper presents the generalized symmetric means approach to the estimation of population covariances, complete with derivations and examples. Particular attention is paid to the problem of missing data, which is handled very naturally in the incidence sampling framework. (CTM)
Descriptors: Analysis of Covariance, Matrices, Sampling, Statistical Analysis
Peer reviewed Peer reviewed
Bell, 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 reviewed Peer reviewed
Keselman, H. J.; And Others – Journal of Educational Statistics, 1993
This article shows how a multivariate approximate degrees of freedom procedure based on the Welch-James procedure as simplified by S. Johansen (1980) can be applied to the analysis of repeated measures designs without assuming covariance homogeneity. A Monte Carlo study illustrates the approach. (SLD)
Descriptors: Analysis of Covariance, Equations (Mathematics), Hypothesis Testing, Mathematical Models
Peer reviewed Peer reviewed
Reddon, John R.; And Others – Journal of Educational Statistics, 1985
Computer sampling from a multivariate normal spherical population was used to evaluate the type one error rates for a test of sphericity based on the distribution of the determinant of the sample correlation matrix. (Author/LMO)
Descriptors: Computer Simulation, Correlation, Error of Measurement, Matrices
Peer reviewed Peer reviewed
Mueller, Ralph O.; Cozad, James B. – Journal of Educational Statistics, 1988
Standardization procedures in discriminant analysis are discussed. Three leading software packages--SPSSX, BMDP, and SAS--are compared in terms of their calculations of unstandardized and standardized discriminant coefficients. Estimation procedures are described for each. Arguments are presented for within-group, rather than total, variance…
Descriptors: Computer Software, Computer Software Reviews, Discriminant Analysis, Estimation (Mathematics)
Peer reviewed Peer reviewed
Huynh, Huynh; Feldt, Leonard S. – Journal of Educational Statistics, 1976
When the variance assumptions of a repeated measures ANOVA are not met, the F distribution of the mean square ratio should be adjusted by the sample estimate of the Box correction factor. An alternative is proposed which is shown by Monte Carlo methods to be less biased for a moderately large factor. (RC)
Descriptors: Analysis of Variance, Computer Programs, Hypothesis Testing, Matrices
Peer reviewed Peer reviewed
Rogosa, David; Willett, John B. – Journal of Educational Statistics, 1985
A five by five covariance matrix representing longitudinal measurements at five occasions is used to illustrate that markedly different types of learning curves may generate indistinguishable covariance structures. An excellent fit of a simplex structure can be misleading. Common uses of covariance structure models for growth studies are…
Descriptors: Analysis of Covariance, Goodness of Fit, Hypothesis Testing, Longitudinal Studies
Peer reviewed Peer reviewed
Becker, Betsy Jane – Journal of Educational Statistics, 1992
Combining information to estimate standardized partial regression coefficients in a linear model is discussed. A combined estimate obtained from the pooled correlation matrix is proposed, and its large sample distribution is obtained. The method is generalized to handle a random effects model in which correlation parameters vary across studies.…
Descriptors: Correlation, Equations (Mathematics), Estimation (Mathematics), Hypothesis Testing
Peer reviewed Peer reviewed
Tsutakawa, Robert K. – Journal of Educational Statistics, 1984
The EM algorithm is used to derive maximum likelihood estimates for item parameters of the two-parameter logistic item response curves. The observed information matrix is then used to approximate the covariance matrix of these estimates. Simulated data are used to compare the estimated and actual item parameters. (Author/BW)
Descriptors: Computer Simulation, Estimation (Mathematics), Latent Trait Theory, Mathematical Formulas
Peer reviewed Peer reviewed
Edwards, Lynne K. – Journal of Educational Statistics, 1991
When repeated observations are taken at equal time intervals, a simple form of a stationary time series structure may be fitted to the observations. Use of correction factors is discussed. A computer simulation method is used to investigate power advantages of fitting a serial correlation pattern to repeated observations. (TJH)
Descriptors: Computer Simulation, Error of Measurement, Goodness of Fit, Longitudinal Studies