Invariance procedures have been known for over three decades. Through the years, these procedures have not been widely used by researchers. One reason for the lack of use is that most of the articles on invariance procedures have been mathematically oriented. This mathematical orientation and the lack of mathematical background on the part of most…

A detailed comparison of four computer programs for analyzing hierarchical linear models is presented. The programs are: VARCL; HLM; ML2; and GENMOD. All are compiled, stand-alone, and specialized. All use maximum likelihood (ML) estimation for decomposition of the variance into different parts; and in all cases, computing the ML estimates…

Regression analysis is one of the more common analytic tools used by researchers. However, multicollinearity between the predictor variables can cause problems in using the results of regression analyses. Problems associated with multicollinearity include entanglement of relative influences of variables due to reduced precision of estimation,…

A constrained component analysis method, which bears a formal resemblance to the confirmatory factor analysis methods developed by K. G. Joreskog (1969) and others, is presented. In confirmatory factor analysis, the constraints allow the testing of formally structural hypotheses within a model that is falsifiable, even in its "just…

The Auto-Regressive Integrated Moving Average (ARIMA) Models, often referred to as Box-Jenkins models, are regression methods for analyzing sequential dependent observations with large amounts of data. The Box-Jenkins approach, a three-stage procedure consisting of identification, estimation and diagnosis, was used to select the most appropriate…

The effectiveness of 19 methods of smoothing was investigated as those methods apply to the equipercentile method of test equating. Seven methods involved smoothing the score distribution before the tests were equated (presmoothing). Seven involved smoothing the resultant points after the equating (postsmoothing). Five methods involved combining…

Vendors frequently compete to have their technology adopted as part of a voluntary consensus standard, and this paper reports the results of an empirical study of the factors that influence the choice of technologies by voluntary technical standards committees. Participation in standards committees is viewed as an aspect of the product development…

Three topics within the domain of regression-based analyses of multilevel data from quasi-experiments and field studies in educational research and evaluation are presented. The paper begins with a discussion of the general question of choice of unit of analysis, or what may be the more appropriate question of choice of analytical model. It then…

Data from three separate experiments were employed. College undergraduates were taught laws of logarithms by means of the same lesson material, and received the same twenty-item posttest after they were instructed under one of three learner control conditions. In the complete learner control condition, students chose both the sequence and number…

Statistical procedures of the regression discontinuity and regression projection designs were compared to determine which design was more able to detect treatment effect in remedial or gifted programs. Neither test was more precise in all situations. Tables list the more precise test usder specific conditions. The regression projection model…

The conceptualization of analysis of covariance (ANCOVA), as an analysis of variance (ANOVA) on the residual scores that are obtained when the dependent variable is regressed on the covariate, is mathematically incorrect. If residuals are obtained from the pooled within-groups regression coefficient, ANOVA on the residuals results in an inflated…

Discusses the advantages and limitations of three enrollment projection techniques: (1) preschool census, (2) regression line, and (3) entry-grade to live birth ratio. Four tables illustrate the methods. (MLF)

Psychometricians working in factor analysis and econometricians working in regression with measurement error in all variables are both interested in the rank of dispersion matrices under variation of diagonal elements. This paper reviews both fields; points out various small errors; and presents a methodological comparision of factor analysis and…

Shows how an introductory social science statistics course can improve the treatment of regression assumptions, the problem of outliers, and the important idea that some outliers have greater influence than others through the use of Anscombe's now classic 1973 example and Cook's (1977; 1979) extension of the idea of influence. (JDH)

One method to correct for selection bias in comparing Scholastic Aptitude Test (SAT) scores among states is presented, which is a modification of J. J. Heckman's Selection Bias Correction (1976, 1979). Empirical results suggest that sample selection bias is present in SAT score regressions. (SLD)