The index of redundancy is a measure of association between a set of independent variables and a set of dependent variables. Properties and interpretations of redundancy variables, in a particular subset of the original variables, are discussed. (JKS)

Commonality components have been defined as a method of partitioning squared multiple correlations. The asymptotic joint distribution of all possible squared multiple correlations is derived. The asymptotic joint distribution of linear combinations of squared multiple correlations is obtained as a corollary. (Author/JKS)

This paper details a Bayesian alternative to the use of least squares and equal weighting coefficients in regression. An equal weight prior distribution for the linear regression parameters is described with regard to the conditional normal regression model, and resulting posterior distributions for these parameters are detailed. (Author/CTM)

Guttman's assumption underlying his definition of "total images" is rejected. Partial images are not generally convergent everywhere. Even divergence everywhere is shown to be possible. The convergence type always found on partial images is convergence in quadratic mean; hence, total images are redefined as quadratic mean-limits.…

An extension of Wollenberg's redundancy analysis (an alternative to canonical correlation) is proposed to derive Y-variates corresponding to the optimal X-variates. These variates are maximally correlated with the given X-variates, and depending upon the standardization chosen they also have certain properties of orthogonality. (Author/JKS)

Assuming a multiple linear regression model with q independent variables, a procedure is developed for determining the minimum statistically significant increase in the multiple correlation coefficient when an additional independent variable is considered for regression. The procedure is presented analytically and in table form. Examples are…

The squared multiple correlation of a variable with the remaining variables in a variable set is shown to be a function of the communalities and the squared canonical correlations between the observed variables and common factors. (Author/JKS)

Semipartial correlation is one of several ways of determining the relative importance of independent variables in a multiple regression analysis. A veteran teacher of statistics and related topics explains his reasons for avoiding semipartial correlations. (SV)

In a conjoint-analysis consumer-preference study, researchers must determine whether the product factor estimates, which measure consumer preferences, should be calculated and interpreted for each respondent or collectively. Multiple regression models can determine whether to aggregate data by examining factor-respondent interaction effects. This…

Executive functions have been defined in the neuropsychological literature as those cognitive processes that underlie future-oriented, goal-directed behavior such as planning, working memory, inhibition, and self-monitoring. Piaget's final stage of cognitive development, formal operations, involves a systematic approach to problem solving that…

In this article the authors demonstrate two instances where the jackknife can be used to enhance hierarchical linear model (HLM) analyses. The jackknife was used to improve the HLM estimates of composite measures by jackknifing over items. The first study examined fixed-effects and variance component estimation. The jackknife appeared to reduce…

Purpose: The purpose of this paper was to posit and test hypotheses concerned with relationships between teachers' demographics, locus of control and career stages. Design/methodology/approach: A sample consisting of 416 Australian non-executive high school teachers was gathered from 40 randomly selected high schools. Multilevel regression…

Purpose: We examined the relationship between the quality indicator for decline in activities of daily living (ADL) and the use of the Minimum Data Set (MDS) for determining Medicaid skilled nursing facility reimbursement. Design and Methods: We conducted a cross-sectional analysis using the 2004 National MDS Facility Quality Indicator reports as…

Recent studies have suggested that educational leaders enacting a balance of technical and adaptive leadership have an effect on increasing student achievement. Technical leadership focuses on problem-solving or first-order changes within existing structures and paradigms. Adaptive leadership involves deep or second-order changes that alter…