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Hall, Charles E. – 1972
In multivariate analysis of variance the canonical variates of one effect may be correlated with the canonical variates of another effect. When the two effects are an interaction and a main effect this correlation interferes with the interpretation of the main effect. When the two effects are both main effects the interpretation of the common…
Descriptors: Analysis of Variance, Correlation, Discriminant Analysis, Mathematical Models
Peer reviewedVelicer, Wayne F. – Educational and Psychological Measurement, 1978
A definition of a suppressor variable is presented which is based on the relation of the semipartial correlation to the zero order correlation. Advantages of the definition are given. (Author/JKS)
Descriptors: Correlation, Mathematical Models, Multiple Regression Analysis, Predictor Variables
Peer reviewedAvison, William R. – Applied Psychological Measurement, 1978
Path analytic techniques for assessing the validity of indicators in multitrait-multimethod matrices represent improvements on Campbell and Fiske's early procedures for testing for validity. The diagnosis of indicator ills by means of confirmatory factor analysis is especially useful. An empirical example of these techniques is presented.…
Descriptors: Bias, Correlation, Critical Path Method, Factor Analysis
Peer reviewedLindell, Michael K. – Educational and Psychological Measurement, 1978
An artifact encountered in regression models of human judgment is explored. The direction and magnitude of the artifactual effect is shown to depend upon the nature of the experimental task and task conditions. Use of an alternative index is recommended. (Author/JKS)
Descriptors: Cognitive Processes, Comparative Analysis, Correlation, Mathematical Models
Peer reviewedHubert, Lawrence J.; Baker, Frank B. – Multivariate Behavioral Research, 1978
The strategy for investigating convergent and discriminant test validity, known as the multitrait-multimethod matrix, is investigated. A nonparametric significance testing procedure is suggested and demonstrated. (JKS)
Descriptors: Correlation, Hypothesis Testing, Mathematical Models, Matrices
Peer reviewedJames, Lawrence R.; Tetrick, Lois E. – Educational and Psychological Measurement, 1984
An analytic procedure is presented for testing the homogeneity of unstandardized regression weight vectors when the vectors are correlated. The basic design involves repeated measurements on a dependent variable and a set of independent variables. The method is illustrated with a study of perceived leader behavior. (Author/BW)
Descriptors: Correlation, Leadership, Mathematical Models, Regression (Statistics)
Peer reviewedMacready, George B. – Psychometrika, 1982
A strategy for the pairwise assessment which may be used to evaluate the nature of both "prerequisite" and "transference" relations existing among a set of traits is presented. Both confirmatory and exploratory strategies are presented. An example of how the strategy would be used is presented in the exploratory context.…
Descriptors: Correlation, Data Analysis, Item Analysis, Latent Trait Theory
Peer reviewedCudeck, Robert – Multivariate Behavioral Research, 1982
Many models have been proposed for examining factors from several batteries of tests. A model for such an analysis is presented which allows for maintaining the distinction among batteries. A discussion of the computational procedures is given, and examples are provided. (Author/JKS)
Descriptors: Correlation, Data Analysis, Factor Analysis, Mathematical Models
Peer reviewedWilliams, Richard H.; Zimmerman, Donald W. – Journal of Experimental Education, 1982
A mathematical link between test reliability and test validity is derived, taking into account the correlation between error scores on a test and error scores on a criterion measure. When this correlation is positive, the "paradoxical" nonmonotonic relation between test reliability and test validity occurs universally. (Author/BW)
Descriptors: Correlation, Error of Measurement, Mathematical Models, Test Reliability
Peer reviewedKraemer, Helena Chmura – Psychometrika, 1981
Limitations and extensions of Feldt's approach to testing the equality of Cronbach's alpha coefficients in independent and matched samples are discussed. In particular, this approach is used to test equality of intraclass correlation coefficients. (Author)
Descriptors: Analysis of Variance, Correlation, Hypothesis Testing, Mathematical Models
Peer reviewedSmith, Kent W.; Sasaki, M. S. – Sociological Methods and Research, 1979
A method is proposed for overcoming the problem of multicollinearity in multiple regression equations where multiplicative independent terms are entered. The method is not a ridge regression solution. (JKS)
Descriptors: Correlation, Hypothesis Testing, Mathematical Models, Multiple Regression Analysis
Peer reviewedHuck, Schuyler W. – Educational and Psychological Measurement, 1992
Three factors that increase score variability yet can be associated with an increase, a decrease, or no change in Pearson's correlation coefficient (r) are discussed (restriction of range, errors of measurement, and linear transformations of data). The connection between changes in variability and r depends on how changes occur. (SLD)
Descriptors: Correlation, Equations (Mathematics), Error of Measurement, Groups
Peer reviewedRoss, Donald C. – Educational and Psychological Measurement, 1992
Large sample chi-square tests of the significance of the difference between two correlated kappas, weighted or unweighted, are derived. Cases are presented with one judge in common between the two kappas and no judge in common. An illustrative calculation is included. (Author/SLD)
Descriptors: Chi Square, Correlation, Equations (Mathematics), Evaluators
Peer reviewedMcDonald, Roderick P.; Hartmann, Wolfgang M. – Multivariate Behavioral Research, 1992
An algorithm for obtaining initial values for the minimization process in covariance structure analysis is developed that is more generally applicable for computing parameters connected to latent variables than the currently existing ones. The algorithm is formulated in terms of the RAM model but can be extended. (SLD)
Descriptors: Algorithms, Correlation, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedTakane, Yoshio; And Others – Psychometrika, 1991
Formal relationships are explored among several methods of linearly constrained correspondence analysis. The seven methods considered fall within one of two classes corresponding to ways of imposing linear constraints: the reparameterization method, and the null space method. A connection between these classes is established through a lemma by C.…
Descriptors: Analysis of Variance, Correlation, Equations (Mathematics), Least Squares Statistics


