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Peer reviewedJackson, Douglas N.; Morf, Martin E. – Multivariate Behavioral Research, 1974
A method is proposed and illustrated for estimating the degree to which a factor rotation to a hypothesized target represents an improvement over rotation to a random target. (Author)
Descriptors: Factor Analysis, Goodness of Fit, Hypothesis Testing, Matrices
Peer reviewedLee, Sik-Yum; Tsui, Kwok-Leung – Psychometrika, 1982
The work of Joreskog and Sorbom in comparing factor structures of several populations is extended to a more general analysis of covariance structures. Also, more complex constraints on parameters are allowed in this work. (JKS)
Descriptors: Analysis of Covariance, Goodness of Fit, Hypothesis Testing, Least Squares Statistics
Peer reviewedMiller, John K. – Multivariate Behavioral Research, 1975
Descriptors: Correlation, Goodness of Fit, Hypothesis Testing, Matrices
Peer reviewedHubert, Lawrence J.; Baker, Frank B. – Psychometrika, 1978
The problem of comparing two sociometric matrices, as originally discussed by Katz and Powell in the early 1950's, is reconsidered and generalized using a different inference model. In particular, the proposed indices of conformity are justified by a regression argument similar to the one used by Somers. ( Author/JKS)
Descriptors: Goodness of Fit, Hypothesis Testing, Interpersonal Relationship, Mathematical Models
Peer reviewedRogosa, 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 reviewedRezmovic, Eva Lantos; Rezmovic, Victor – Educational and Psychological Measurement, 1981
A multitrait-multimethod matrix containing two methods of measuring 12 personality traits was analyzed and confirmatory factor analysis was applied to the data. Although unexplained variance remained, method factors and a general personality factor significantly improved the fit of a model containing only trait factors. (Author/RL)
Descriptors: Factor Analysis, Goodness of Fit, Hypothesis Testing, Mathematical Models
Ethington, Corinna A. – 1986
This study examined the effect of type of correlation matrix on the robustness of LISREL maximum likelihood and unweighted least squares structural parameter estimates for models with categorical manifest variables. Two types of correlation matrices were analyzed; one containing Pearson product-moment correlations and one containing tetrachoric,…
Descriptors: Computer Software, Correlation, Estimation (Mathematics), Goodness of Fit


