Multiple regression analysis is frequently being employed in experimental and non-experimental research. However, when data include predictor variables that are correlated, some regression results can become difficult to interpret. This paper presents a study to provide a demonstration that structure coefficients may be useful in these cases.…

Bargmann's test for examining the statistical significance of simple structure in factor analysis, an extension of the original significance tables, and the application of the significance test to several noted factor analytic findings are described. Using Bargmann's test, only 2 of 25 factor analytic studies reviewed are considered acceptable.…

A dichotomous dependent variable is used to determine a combination of variables that will predict group membership. Dichotomous variables are frequently encountered in multiple regression analysis. However, several textbooks question the appropriateness of using multiple regression analysis when analyzing dichotomous dependent variables. The…

Three procedures used to control Type I error rate in stepwise regression analysis are forward selection, backward elimination, and true stepwise. In the forward selection method, a model of the dependent variable is formed by choosing the single best predictor; then the second predictor which makes the strongest contribution to the prediction of…

In this paper the bootstrap technique was applied to the evaluation of potential predictive bias for different ethnic groups using the Scholastic Aptitude Test (SAT) and high school ranks to predict college grade point averages (GPAs). Data of three ethnic groups were used; the total number of subjects was close to 5,000. Both conventional…

This paper reports the results of a Monte Carlo investigation of Type I errors in the single group repeated measures design where multiple measures are collected from each observational unit at each measurement occasion. The Type I error of three multivariate tests were examined. These were the doubly multivariate F test, the multivariate mixed…

A random sample of 113 members of the American Vocational Education Research Association (AVERA) was surveyed to obtain baseline information regarding AVERA members' perceptions of statistical significance tests. The Psychometrics Group Instrument was used to collect data from participants. Of those surveyed, 67% were male, 93% had earned a…