Student state testing, annual teacher evaluation, and A-to-F campus and school district rating are here. And all of these have real policy implications for every school system. With seven thousand students a day dropping out of the public schools in the United States at a rate of one student every 26 seconds, what might be done to help these…

Structural equation modeling (SEM) is one of the most popular multivariate statistical techniques in Turkish educational research. This study elaborates the SEM procedures employed by 75 educational research articles which were published from 2010 to 2015 in Turkey. After documenting and coding 75 academic papers, categorical frequencies and…

Standard errors for maximum likelihood estimates of factor loadings are expressed in terms of the inverse of an augmented information matrix. This formulation arises naturally by viewing the problem as one in constrained maximum likelihood estimation. The constraints correspond to the form of rotation used. Results are given for canonical rotation…

Evidence is given to indicate that Lawley's formulas for the standard errors of maximum likelihood loading estimates do not produce exact asymptotic results. A small modification is derived which appears to eliminate this difficulty. (Author)

Gradient methods are employed in orthogonal oblique analytic rotation. Constraints are imposed on the elements of the transformation matrix by means of reparameterisations. (Author)

The formulas which give the standard errors of factor loading estimates while available and computable are complicated, and our understanding of them is limited. A nontechnical description of their behavior under favorable and unfavorable conditions is given. Of particular interest is their behavior in the presence of singularities arising from…

In this methodological paper two indices are developed: a complexity index and an interpretation index. The complexity index is a positive number indicating on the average how many factors are used to explain each variable in a factor solution. The interpretation index will be positive ranging from zero to unity; unity representing a perfect…

In a manner similar to that used in the orthogonal case, formulas for the asymptotic standard errors of analytically rotated oblique factor loading estimates are obtained. This is done by finding expressions for the partial derivatives of an oblique rotation algorithm and using previously derived results for unrotated loadings. These include the…

Beginning with the results of Girschick on the asymptotic distribution of principal component loadings and those of Lawley on the distribution of unrotated maximum likelihood factor loadings, the asymptotic distributions of the corresponding analytically rotated loadings is obtained. The principal difficulty is the fact that the transformation…

The aims of this study were (1) to explore the factor structure of the Personality Research Form (PRF) and (2) to examine the inventory's relations with response styles. In general the PRF content scales correlated moderately with each other and with measures of acquiesence, social desirability, and defensiveness response Biases. Six oblique…

The final volume of The Study of Junior Colleges contains the measurements and instrumentation derived from the project for future evaluation surveys. Part One, Prediction of Student Outcomes: Multivariate Analysis of the Survey Data, provides: an introduction to the analyses; data reduction, factors, and scales; students' objectives and…

In measuring attitudes by Semantic Differential, bipolar adjective scales with high loadings on an evaluative factor derived by Principal Components Analysis are used typically as unidimensional attitude measures. Komorita and Bass, using conventional statistical techniques, report the discovery of more than one evaluative factor. This paper…

Factor loadings, used directly or as the basis of binary values, are not appropriate as weights to produce component scores from a rotated solution. A series of examples showing the results of an incorrect measurement of components is given. Several correlation matrices were taken from books on factor analysis and multivariate analysis. Each…

A very general model for the computation of independent cluster solutions in factor analysis is presented. The model is discussed as being either orthogonal or oblique. Furthermore, it is demonstrated that for every orthogonal independent cluster solution there is an oblique analog. Using three illustrative examples, certain generalities are made…

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.…