Education research rarely lends itself to large scale experimental research and true randomization, leaving the researcher to quasi-experimental designs. The problem with quasi-experimental research is that underlying factors may impact group selection and lead to potentially biased results. One way to minimize the impact of non-randomization is…

This paper presents the methodology for performing and interpreting second-order factor analysis. Procedures for extracting and rotating solutions are presented. Critical issues of interpretation, such as interpreting second-order factors are discussed. Two methods for accomplishing this are explained, including multiplying the first- and…

This paper suggests that multivariate analysis techniques are very important in educational research, and that one multivariate technique--canonical correlation analysis--may be particularly useful. The logic of canonical analysis is explained. It is suggested that a backward variable elimination strategy can make the method even more powerful, by…

The need for humanistically-oriented research may be viewed as the unfinished business of humanistic psychology. Additional research is needed to support some of the theoretical positions of humanistic psychology which have emerged from clinical practice, education, and management consultation rather than from laboratories and field studies. The…

This paper outlines two types of discriminant analysis, predictive discriminant analysis (PDA) and descriptive discriminant analysis (DDA). Important differences between PDA and DDA are introduced and discussed using a heuristic data set, specifically indicating the portions of the Statistical Package for the Social Sciences (SPSS) output relevant…

This paper considers the use of heuristic methodology as a research vehicle for new science investigations in education. The paper describes heuristic methodology and its use as a means of new science-based research in schools. It also describes how heuristic methodology was used in a 2002 study to explain educational practices through the…

Part and partial correlation coefficients are used to measure the strength of a relationship between a dependent variable and an independent variable while controlling for one or more other variables. The present paper discusses the uses and limitations of partial correlations and presents a small heuristic data set to illustrate the discussion.…

Data reduction techniques seek to combine variables that account for patterns of variation in observed dependent variables in such a way that a simpler model is available for analysis. Factor analysis is a data reduction technique that attempts to model or explain a set of variables in terms of their associations. To understand why this technique…

Three procedures for evaluating the replicability of descriptive discriminant analysis (DDA) results are discussed. The techniques include cross-validation, the jackknife, and the bootstrap. Discriminant analysis is a multivariate technique used when group membership or classification is the focus of the analysis. DDA is used to describe major…

In this paper the binomial index of model fit is applied to four path-analytic or structural-equation models to demonstrate how this goodness-of-fit measure can be used and interpreted. In addition, the conclusions derived from the results of the binomial index of goodness of fit were compared to the statements presented by the authors of the…

The analysis of covariance as a procedure for statistical correction of the effects for an extraneous variable, called a "covariate," is presented. An heuristic data set is used to make the discussion of the calculation of ANCOVA partitions easier to follow. A discussion of homogeneity of regression as an essential condition to be met…

This paper explains in user-friendly terms why multivariate statistics are so important in educational research. The basic logic of canonical correlation analysis is presented as a simple or bivariate Pearson "r" procedure. It is noted that all statistical tests implicitly involve the calculation of least squares weights, and that all…

Ten different methods of inquiry are outlined in this overview of research methodologies currently being employed in the field of curriculum studies: (1) philosophical, (2) historical, (3) scientific, (4) artistic, (5) moral, (6) religious, (7) interpretive, (8) instrumental, (9) deliberative, and (10) action oriented. Each of the 10 methods is…

Stepwise methods are frequently employed in educational and psychological research, both to select useful subsets of variables and to evaluate the order of importance of variables. Three problems with stepwise applications are explored in some detail. First, computer packages use incorrect degrees of freedom in their stepwise computations,…

It is recognized that parametric methods (e.g., t-tests, discriminant analysis, and methods based on analysis of variance) are special cases of canonical correlation analysis. In canonical correlation it has been argued that structure coefficients must be computed to correctly interpret results. It follows that structure coefficients may be useful…