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Zhang, Guangjian; Preacher, Kristopher J.; Jennrich, Robert I. – Psychometrika, 2012
The infinitesimal jackknife, a nonparametric method for estimating standard errors, has been used to obtain standard error estimates in covariance structure analysis. In this article, we adapt it for obtaining standard errors for rotated factor loadings and factor correlations in exploratory factor analysis with sample correlation matrices. Both…
Descriptors: Factor Analysis, Maximum Likelihood Statistics, Error of Measurement, Nonparametric Statistics
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Tchumtchoua, Sylvie; Dey, Dipak K. – Psychometrika, 2012
This paper proposes a semiparametric Bayesian framework for the analysis of associations among multivariate longitudinal categorical variables in high-dimensional data settings. This type of data is frequent, especially in the social and behavioral sciences. A semiparametric hierarchical factor analysis model is developed in which the…
Descriptors: Factor Analysis, Bayesian Statistics, Behavioral Sciences, Social Sciences
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Bobko, Philip – Psychometrika, 1977
A measure of multiple rank correlation is proposed for the situation of no tied observations in the variables. The measure is a weighted average of two squared Kendall taus. The measure is equivalent to one proposed by Moran. (Author/JKS)
Descriptors: Correlation, Multiple Regression Analysis, Nonparametric Statistics
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Hamdan, M. A. – Psychometrika, 1971
Descriptors: Correlation, Nonparametric Statistics, Research Methodology, Statistical Analysis
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Ekbohm, Gunnar – Psychometrika, 1982
The problem of testing two correlated proportions with incomplete data is considered by means of Monte Carlo simulations studies. A test proposed in this paper, which can be regarded as a generalization of McNemar's test, is recommended in all cases with incomplete data and not too small samples. (Author)
Descriptors: Correlation, Hypothesis Testing, Nonparametric Statistics, Statistical Significance
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Divgi, D. R. – Psychometrika, 1979
A new computer subroutine has been developed for calculating the tetrachoric correlation coefficient. Recent advances in computing inverse normal and bivariate normal distributions have been utilized. The procedure is useful for item analysis. (Author/JKS)
Descriptors: Computer Programs, Correlation, Nonparametric Statistics, Program Descriptions
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Kraemer, Helena Chmura – Psychometrika, 1975
A selection of statistical problems commonly encountered in psychological or psychiatric research concerning correlation coefficients are re-evaluated in the light of recently developed simplifications in the forms of the distribution theory of the intraclass correlation coefficient, of the product-moment correlation coefficient, and the Spearman…
Descriptors: Correlation, Hypothesis Testing, Nonparametric Statistics, Statistical Significance
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Kraemer, Helena Chmura – Psychometrika, 1981
Asymptotic distribution theory of Brogden's form of biserial correlation coefficient is derived and large sample estimates of its standard error obtained. Its relative efficiency to the biserial correlation coefficient is examined. Recommendations for choice of estimator of biserial correlation are presented. (Author/JKS)
Descriptors: Correlation, Error of Measurement, Mathematical Models, Nonparametric Statistics
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Young, Forest; Baker, Robert F. – Psychometrika, 1975
The Individual Scaling with Individual Subjects (ISIS) procedure appears to be a viable implementation of an incomplete design for collecting real as well as simulated data. Applied to a multidimensional set of data, it reduced the number of judgments required by more than half and yet gave the same number of dimensions. (Author/RC)
Descriptors: Correlation, Data Collection, Matrices, Multidimensional Scaling
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Spence, Ian; Domoney, Dennis W. – Psychometrika, 1974
Monte Carlo procedures were used to investigate the properties of a nonmetric multidimensional scaling algorithm when used to scale an incomplete matrix of dissimilarities. Recommendations for users wishing to scale incomplete matrices are made. (Author/RC)
Descriptors: Algorithms, Comparative Analysis, Correlation, Matrices
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Hettmansperger, Thomas P. – Psychometrika, 1975
Treats the problem of testing an ordered hypothesis based on the ranks of the data. Statistical procedures for the randomized block design with more than one observation per cell are derived. Multiple comparisions and estimation procedures are included. (Author/RC)
Descriptors: Correlation, Data Analysis, Hypothesis Testing, Nonparametric Statistics
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Schulman, Robert S. – Psychometrika, 1978
Ordinal measurement is the rank ordering of individuals in a population. For ordinal measurement, the concept of an individual propensity distribution is his or her true score. Estimation of, as well as other aspects of the distribution, are discussed. (Author/JKS)
Descriptors: Correlation, Measurement, Nonparametric Statistics, Probability
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Thissen, David; Wainer, Howard – Psychometrika, 1976
A new measure of correlation and a measure of scale are proposed which are substantially more robust than their least squares counterparts. Increased robustness may also be obtained by use of equal regression weights, or knowledge of the theoretical structure of the weights. (Author/HG)
Descriptors: Correlation, Least Squares Statistics, Monte Carlo Methods, Nonparametric Statistics
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Klastorin, T. D. – Psychometrika, 1980
The problem of objectively comparing two independently determined partitions of N objects or variables is discussed. A similarity measure based on the simple matching coefficient is defined and related to previously suggested measures. (Author/JKS)
Descriptors: Correlation, Data Analysis, Judges, Mathematical Formulas
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Schulman, Robert S. – Psychometrika, 1979
An alternative to the uniform probability distribution model for ordinal data is considered. Implications for statistics and for test theory are discussed. (JKS)
Descriptors: Career Development, Correlation, Mathematical Models, Nonparametric Statistics