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Pohlmann, John T. – Multiple Linear Regression Viewpoints, 1979
The type I error rate in stepwise regression analysis deserves serious consideration by researchers. The problem-wide error rate is the probability of selecting any variable when all variables have population regression weights of zero. Appropriate significance tests are presented and a Monte Carlo experiment is described. (Author/CTM)
Descriptors: Correlation, Error Patterns, Multiple Regression Analysis, Predictor Variables
Peer reviewed Peer reviewed
Williams, John T. – Multiple Linear Regression Viewpoints, 1979
A process is described for multiple comparisons when covariates are involved in the analysis. The method can be accomplished with considerable ease whenever pairwise comparisons are involved. More complex contrasts require the use of full and restricted models of variance. (CTM)
Descriptors: Analysis of Covariance, Comparative Analysis, Hypothesis Testing, Multiple Regression Analysis
Peer reviewed Peer reviewed
Leitner, Dennis W. – Multiple Linear Regression Viewpoints, 1979
This paper relates common statistics from contingency table analysis to the more familiar R squared terminology in order to better understand the strength of the relation implied. The method of coding contingency tables was shown, as well as how R squared related to phi, V, and chi squared. (Author/CTM)
Descriptors: Correlation, Expectancy Tables, Hypothesis Testing, Multiple Regression Analysis
Peer reviewed Peer reviewed
And Others; Roll, Steve – Multiple Linear Regression Viewpoints, 1979
A Type VI error results from inconsistency between the researchers' question of interest and the statistical procedures employed to analyze the data. An example of a research problem is analyzed to show the increase in statistical power resulting from improved research design, using multiple regression instead of analysis of variance. (CTM)
Descriptors: Analysis of Variance, Error Patterns, Higher Education, Hypothesis Testing