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Wolfle, Lee M. – 1981
Hierarchial causal models are described as pictorial representations of multiple regression equations. These models are particularly helpful for three reasons: (1) the formulation of problems in a path analytic framework forces a degree of explicitness that is often not present in research reports that rely solely on regression; (2) they provide a…
Descriptors: Mathematical Models, Multiple Regression Analysis, Path Analysis, Research Methodology
Ellett, Frederick S., Jr.; Ericson, David P. – 1983
Several steps are taken to develop methods for analyzing systems that involve probabilistic causation. The basic ideas and distinctions are illustrated for systems with dichotomous variables. It is shown that these basic ideas have analogous counterparts in causal systems with continuous variables. By using a generalized conditional probability…
Descriptors: Correlation, Mathematical Models, Measurement Techniques, Path Analysis
Peer reviewedCliff, Norman – Multivariate Behavioral Research, 1983
The dangers of overlooking time-honored cautions in the making causal interpretations of data analyses from correlational studies when using highly sophisticated computer programs and their associated techniques are discussed. (JKS)
Descriptors: Computer Programs, Goodness of Fit, Mathematical Models, Multivariate Analysis
Peer reviewedLewis-Beck, Michael S. – American Political Science Review, 1977
Argues that comparison of "effects coefficients" derived from path analysis is the preferred method of assessing the relative impact of different independent variables on a given dependent variable. Available from: American Political Science Association, 1527 New Hampshire Avenue, N.W., Washington, DC 20036; $10.50 single copy.…
Descriptors: Mathematical Models, Path Analysis, Political Influences, Public Policy
Darom, Efraim – 1982
In an analysis of multitrait-multimethod matrices the criteria for discriminant validity are shown to include a "structure" criterion as an invariance of traits structure to methods. The criterion is meant to fit data to an additive model with traits and methods but not interaction terms. The importance of the structure criterion and the…
Descriptors: Discriminant Analysis, Evaluation Methods, Factor Structure, Mathematical Models
Mulaik, Stanley A. – 1983
The overidentification of structural equation models with latent variables is discussed. The use of two- and three-indicator models is not recommended since such models do not allow a testing of the crucial assumption of unidimensionality among indicators in most cases. Models with four or more indicators may be more sensitive to departures from…
Descriptors: Factor Analysis, Mathematical Models, Multivariate Analysis, Path Analysis
Peer reviewedWilson, Mark – Journal of Educational Statistics, 1989
An empirical sampling approach was used to assess the accuracy of a Taylor approximation for the estimation of sampling errors. The sampling errors were in the statistics involved in estimating a path model based on medium-sized samples gathered using five sample designs commonly used in educational research. (TJH)
Descriptors: Educational Research, Error of Measurement, Estimation (Mathematics), Mathematical Models
Peer reviewedStelzl, Ingeborg – Multivariate Behavioral Research, 1986
Since computer programs have been available for estimating and testing linear causal models, these models have been used increasingly in the behavioral sciences. This paper discusses the problem that very different causal structures may fit the same set of data equally well. (Author/LMO)
Descriptors: Computer Software, Correlation, Goodness of Fit, Mathematical Models
Tracz, Susan M.; Elmore, Patricia B. – 1985
Meta-analysis is a technique for combining the summary statistics from previously conducted research studies to indicate the direction of results and provide an index of the magnitude of effect size. This paper focuses on the effect of the violation of the assumption of independence (that the value of any included statistic is in no way…
Descriptors: Correlation, Effect Size, Mathematical Models, Meta Analysis
LAND, KENNETH C. – 1967
THIS REPORT PRESENTS A DISCUSSION OF 2 TECHNIQUES WHICH CAN BE USED TO REPRESENT AND INTERPRET MULTIVARIATE STATISTICAL SYSTEMS WHEN IT IS FELT THAT THERE ARE CAUSAL RELATIONS BETWEEN SOME OF THE VARIABLES. THE BASIC TECHNIQUE IS PATH ANALYSIS AND THE OTHER IS ITS EXTENSION THROUGH THE USE OF RECURSIVE SYSTEMS OF EQUATIONS. THE ANALYSIS IS…
Descriptors: Analysis of Variance, Correlation, Linear Programing, Mathematical Applications
Peer reviewedGallini, Joan K., Mandeville, Garrett K. – Journal of Experimental Education, 1984
This Monte Carlo study examined the validity of the chi-square test for model evaluation in different instances of misspecification and sample size. The usefulness of the chi-square difference statistic to compare competing structures and improvement in fit is also addressed. (Author/BS)
Descriptors: Analysis of Covariance, Error of Measurement, Goodness of Fit, Mathematical Models
Baldwin, Beatrice – 1986
LISREL-type structural equation modeling is a powerful statistical technique that seems appropriate for social science variables which are complex and difficult to measure. The literature on the specification, estimation, and testing of such models is voluminous. The greatest proportion of this literature, however, focuses on the technical aspects…
Descriptors: Analysis of Covariance, Computer Software, Equations (Mathematics), Error of Measurement
Peer reviewedKeith, Timothy Z.; Page, Ellis B. – American Educational Research Journal, 1985
High School and Beyond data set and path analytic techniques were used to compare Black and Hispanic high school seniors' achievement in public and in Catholic schools. When better ability measures were added to the causal models the apparent effect of Catholic schooling on minority achievement was greatly reduced. (Author/BS)
Descriptors: Academic Achievement, Black Students, Catholic Schools, High School Seniors
Werts, Charles E.; Linn, Robert L. – 1972
The objective of this study was to review and integrate the various methodologies used in the study of individual growth (especially academic growth). This was accomplished by means of Joreskog's general model for the analysis of covariance structures, i.e., each of the disparate methodologies available from the literature was shown to be a…
Descriptors: Academic Achievement, Analysis of Covariance, Educational Research, Error of Measurement


