The purpose of this study was to empirically evaluate the impact of loglinear presmoothing accuracy on equating bias and variability across chained and post-stratification equating methods, kernel and percentile-rank continuization methods, and sample sizes. The results of evaluating presmoothing on equating accuracy generally agreed with those of…

Ramsay curve item response theory (RC-IRT) was recently developed to detect and correct for nonnormal latent variables when unidimensional IRT models are fitted to data using maximum marginal likelihood estimation. The purpose of this research is to evaluate the performance of RC-IRT for Likert-type item responses with varying test lengths, sample…

The search for cut-off criteria of fit indices for model fit evaluation (e.g., Hu & Bentler, 1999) assumes that these fit indices are sensitive to model misspecification, but not to different types of models. If fit indices were sensitive to different types of models that are misspecified to the same degree, it would be very difficult to establish…

Confidence intervals are widely accepted as a preferred way to present study results. They encompass significance tests and provide an estimate of the magnitude of the effect. However, comparisons of correlations still rely heavily on significance testing. The persistence of this practice is caused primarily by the lack of simple yet accurate…

Mediators are variables that explain the association between an independent variable and a dependent variable. Structural equation modeling (SEM) is widely used to test models with mediating effects. This article illustrates how to construct confidence intervals (CIs) of the mediating effects for a variety of models in SEM. Specifically, mediating…

In this study, the authors assess several strategies created on the basis of the Mantel-Haenszel (MH) procedure for conducting differential item functioning (DIF) analysis with small samples. One of the analytical strategies is a loss function (LF) that uses empirical Bayes Mantel-Haenszel estimators, whereas the other strategies use the classical…

This study compares the performance of three nonparametric item characteristic curve (ICC) estimation procedures: isotonic regression, smoothed isotonic regression, and kernel smoothing. Smoothed isotonic regression, employed along with an appropriate kernel function, provides better estimates and also satisfies the assumption of strict…

Mackintosh and Bennett's [Mackintosh, N. J. and Bennett, E. S, (2005). ''What do Raven's Matrices measure? An analysis in terms of sex differences.'' Intelligence 33: 663-674.] study shows that males outperform females in some APM items but not in others, implicating that these items are measuring discriminable mental processes. The present…

The primary purpose of this study was to examine the differences in teacher quality, student achievement, and graduation rates among select North Carolina urban high schools based on their racial segregation when measured by the entropy index. The entropy index is a measure of evenness among racial groups used to determine the level of segregation…

This study explored the influence of strengths-based development on leadership practices among undergraduate college students while controlling for gender, years of leadership experience, and number of completed leadership courses using a quasi-experimental approach with a randomized control-group pretest-posttest research design. The sample…

R. C. Blair (1991) developed tables of critical values for the generalized "t" and generalized rank sum tests that do not suffer inflation of Type I error. This study evaluated the critical values generated by Blair for situations in which sample size varies more than a maximum of a factor of two. The accuracy of the values was explored…

Research on tests for scale equality have focused exclusively on an overall test statistic and have not examined procedures for identifying specific differences in multiple group designs. The present study compares four contrast analysis procedures for scale differences in the single factor four-group design: (1) Tukey HSD; (2) Kramer-Tukey; (3)…

This paper explores the use of K. G. Joreskog's (1970) congeneric modeling approach to reliability using censored quantitative variables. Two Monte Carlo studies were conducted. The first explored the robustness of Normal Theory Generalized Least-Squares (NTGLS) estimates for a single-factor congeneric model across several sample sizes…

The purposes of this study are to compare alternative statistical techniques for analysis of the kinds of qualitative data commonly obtained in educational settings. Distinctions between chi-square based measures for contingency tables and proportional reduction of error measures of the strength of association are reviewed, and it is argued that…

Provides a framework based on rook methodology for constructing exact unweighted tests in the matching paradigm. This paradigm tests whether a one-to-one pairing configuration between objects in two arrays contains more pairings of a particular kind than expected under the null hypothesis. The procedure is particularly useful for small samples.…