This paper discusses how a seldom-used statistical procedure, recursive regression (RR), can numerically and graphically illustrate data-driven nonlinear relationships and interaction of variables. This routine falls into the family of exploratory techniques, yet a few interesting features make it a valuable compliment to factor analysis and…

The process of discriminant analysis is reviewed in four different aspects: focusing on formulations, interpretations, and uses of discrimination, estimation and classification. Other issues, problems, and recent developments in discriminant analysis are also reviewed. (Author/DEP)

Examines how discriminant analysis techniques can be used in music education research. Provides examples of the technique. Concludes that music researchers can use discriminant analysis to gain new insights into their data. (RKM)

Used a current attrition study to show the usefulness of discriminative analysis and a cross validation technique applied to student nonpersister questionnaire respondents and nonrespondents. Results of the techniques allowed delineation of several areas of sample under-representation and established the instability of the regression weights…

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…

A subset of a real data set from a national survey on alcohol use and driving in Canada (original sample of 6,457) is used to illustrate an ad hoc analysis with missing data on multiple response variables. A complete-case analysis initiates this strategy, determining variables that may be deleted without losing effects of interest. By such a…

Demonstrates that in research about prison sentencing different definitions and alternate techniques yield different results. Offers two conceptualizations of the sentencing decision and then applies either discriminate or multivariate analysis accordingly. Concludes that such definitions shape the research question, direct the focus of inquiry,…

Presents several multivariate analyses of variance (MANOVA) test procedures. Discusses guidelines for choosing an overall MANOVA test statistic and post hoc tests that determine the dependent variable or variables responsible for any significant effects. Concludes that guidelines based on recent comparisons of the various test statistics be used.…

An evaluation of 275 titles of adult individual biography selected at random reveals no essential correlation between a quality estimate and any of several measures of circulation. The titles were evaluated for their quality by determining whether or not each title was found listed in eight reviewing journals, five book selection tools, and five…

Equations are derived to enable the graphic approximation of the item parameters of the stochastic mental test models, i.e., the generalized normal ogive and logistic models. The item parameters for the models are discriminatory power, difficulty, and probability of chance success. Suggested uses for the approximations were to provide a basis for…

Propensity score analysis is one statistical technique that can be applied to observational data to mimic randomization and thus can be used to estimate causal effects in studies in which the researchers have not applied randomization. In this article the authors (a) describe propensity score methodology and (b) demonstrate its application using…

A technique for classifying hospitals on a multidimensional basis was developed. Three major sets of attributes were examined: patient case mix, facility mix, and personnel mix. Using multivariate techniques (factor analysis, cluster analysis, and discriminant analysis), 83 variables were examined for 547 hospitals. A total of six factors were…

GREATER UNDERSTANDING OF INFERENTIAL STATISTICAL METHODS AND EXPERIMENTAL DESIGN WOULD ENABLE LANGUAGE TEACHERS TO INTERPRET OBJECTIVELY AVAILABLE RESEARCH REPORTS AND HOPEFULLY WOULD ENCOURAGE MORE EXPERIMENTATION. TO UNDERSTAND THE EXPERIMENTAL PROCESS, EDUCATORS MUST REALIZE THAT ANY EXPERIMENT IS AS SUCCESSFUL AS THE EXPERIMENTER IS IN…

This study was concerned with various schemes for reducing the number of variables in a multivariate analysis. Two sets of illustrative data were used; the numbers of criterion groups were 3 and 5. The proportion of correct classifications was employed as an index of discriminatory power of each subset of variables selected. Of the four procedures…

Compared the efficacy of two methods of cluster analysis, the unweighted pair-groups method using arithmetic averages (UPGMA) and Ward's method, for students grouped on intelligence, achievement, and social adjustment by both clustering methods. Found UPGMA more efficacious based on output, on cophenetic correlation coefficients generated by each…