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McNeil, Keith A.; Beggs, Donald L. – 1971
Two well known directional (one-tailed) tests of significance, mean difference and correlation coefficient, are presented within the multiple linear regression framework. Adjustments on the computed probability level are indicated. The case for a directional interaction research hypothesis is defended. Conservative adjustments on the computed…
Descriptors: Correlation, Hypothesis Testing, Multiple Regression Analysis, Research Methodology
Elashoff, Janet Dixon; Elashoff, Robert M. – 1970
This paper introduces a model for describing outliers (observations which are extreme in some sense or violate the apparent pattern of other observations) in linear regression which can be viewed as a mixture of a quadratic and a linear regression. The maximum likelihood estimators of the parameters in the model are derived and their asymptotic…
Descriptors: Correlation, Mathematical Models, Multiple Regression Analysis, Research Methodology
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Aitkin, Murray A. – 1972
Fixed-width confidence intervals for a population regression line over a finite interval of x have recently been derived by Gafarian. The method is extended to provide fixed-width confidence intervals for the difference between two population regression lines, resulting in a simple procedure analogous to the Johnson-Neyman technique. (Author)
Descriptors: Analysis of Covariance, Mathematical Applications, Mathematical Models, Multiple Regression Analysis
Peer reviewed Peer reviewed
Deegan, John, Jr. – Multivariate Behavioral Research, 1976
Focuses on developing a systematic characterization of the error forms resulting from model misspecification in single equation models for least squares regression analyses. (Author/DEP)
Descriptors: Hypothesis Testing, Least Squares Statistics, Mathematical Models, Multiple Regression Analysis
Peer reviewed Peer reviewed
Rodriguez, T. Nelson; Hansen, Lee H. – Journal of Experimental Education, 1975
Readability formulas are designed to provide quantitative estimates of the relative difficulty of pieces of writing. This study explored the extent to which an increase in the accuracy of a specific readability formula could be obtained by norming it for a restricted set of reading materials and subjects. (Editor)
Descriptors: Cloze Procedure, Multiple Regression Analysis, Readability, Reading Materials
Peer reviewed Peer reviewed
Velicer, 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 reviewed Peer reviewed
Vasu, Ellen Storey – Educational and Psychological Measurement, 1978
The effects of the violation of the assumption of normality in the conditional distributions of the dependent variable, coupled with the condition of multicollinearity upon the outcome of testing the hypothesis that the regression coefficient equals zero, are investigated via a Monte Carlo study. (Author/JKS)
Descriptors: Correlation, Hypothesis Testing, Matrices, Monte Carlo Methods
Peer reviewed Peer reviewed
Williams, John D. – Multiple Linear Regression Viewpoints, 1978
Path analysis is a data analytic technique for estimating the strengths of hypothesized relationships among a group of variables for a particular sample. Strategies for the use of path analysis are discussed in detail in this extensive article. (JKS)
Descriptors: Critical Path Method, Data Analysis, Hypothesis Testing, Mathematical Models
Peer reviewed Peer reviewed
McSweeney, Maryellen; Schmidt, William H. – Journal of Educational Statistics, 1977
The relationship between quantitative predictor variables and the probability of occurrence of one or more levels of a qualitative criterion variable can be analyzed by quantal response techniques. This paper presents and discusses two quantal response models, comparing them to multiple linear regression and discriminant analysis. (Author/JKS)
Descriptors: Discriminant Analysis, Mathematical Models, Multiple Regression Analysis, Predictor Variables
Peer reviewed Peer reviewed
Leitner, Dennis W. – Multiple Linear Regression Viewpoints, 1978
A suppressor variable is a regressor in a multiple regression which contributes more to the squared multiple correlation than the magnitude of its simple correlation with the outcome variable. An example of such a situation is provided for teaching purposes. (JKS)
Descriptors: Higher Education, Multiple Regression Analysis, Predictor Variables, Statistics
Peer reviewed Peer reviewed
Burkholder, Joel H. – Multiple Linear Regression Viewpoints, 1978
An existing computer program for computing multiple regression analyses is made interactive in order to alleviate core storage requirements. Also, some improvements in the graphics aspects of the program are included. (JKS)
Descriptors: Computer Graphics, Computer Programs, Computer Storage Devices, Multiple Regression Analysis
Peer reviewed Peer reviewed
Lindell, 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 reviewed Peer reviewed
McDonald, Roderick P. – Psychometrika, 1978
The relationship between the factor structure of a convariance matrix and the factor structure of a partial convariance matrix when one or more variables are partialled out of the original matrix is given in this brief note. (JKS)
Descriptors: Analysis of Covariance, Correlation, Factor Analysis, Factor Structure
Peer reviewed Peer reviewed
Ford, David L.; And Others – Multivariate Behavioral Research, 1978
Econometric techniques for estimating the parameters of individual and group multi-attribute utility models are discussed. These techniques permit measurement of intra-and inter-individual heterogeneity with regard to the importance ascribed to the model attributes. (Author/JKS)
Descriptors: Economic Research, Higher Education, Individual Characteristics, Mathematical Models
Peer reviewed Peer reviewed
Skinner, Harvey A. – Educational and Psychological Measurement, 1977
EXPLORE is a flexible computer program for analyzing multiple data sets. The investigator has the option of focusing on the original variables, or of selecting a reduced rank solution where original variables are summarized by a principal components analysis. (Author/JKS)
Descriptors: Computer Programs, Correlation, Data Analysis, Factor Analysis
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