DETECT is a nonparametric methodology to identify the dimensional structure underlying test data. The associated DETECT index, "D[subscript max]," denotes the degree of multidimensionality in data. Conditional covariances (CCOV) are the building blocks of this index. In specifying population CCOVs, the latent test composite [theta][subscript TT]…

Nonparametric or kernel regression estimation of item response curves (IRCs) is often used in item analysis in testing programs. These estimates are biased when the observed scores are used as the regressor because the observed scores are contaminated by measurement error. Accuracy of this estimation is a concern theoretically and operationally.…

Pay for performance plans are spreading across the country due to the Obama administration's $4 billion Race to the Top initiative, which places a high priority on merit pay. Through a program that involved public accountability and bonuses, the state of North Carolina awarded more than $1 billion in school-based performance bonuses for meeting…

Problem statement: Two of the techniques used in the meta-analysis of single-case research are calculating the percentage of nonoverlapping data (PND) and the percentage of data points that exceed the median of the baseline phase (PEM). The PND is a nonparametric approach in which the researcher calculates the percentage of data points in the…

Test of homogeneity of covariances (or homoscedasticity) among several groups has many applications in statistical analysis. In the context of incomplete data analysis, tests of homoscedasticity among groups of cases with identical missing data patterns have been proposed to test whether data are missing completely at random (MCAR). These tests of…

This study combined the kernel smoothing procedure and a nonparametric differential item functioning statistic--Cochran's Z--to statistically test the difference between the kernel-smoothed item response functions for reference and focal groups. Simulation studies were conducted to investigate the Type I error and power of the proposed…

Blended Learning (BL) strategies play an important role in collaboration, communication skills, motivation, attitudes, interaction with the subject and practical skills. However, their relationship with students' learning and self efficacy were not studied enough and this was the focus of this study. Therefore, the aim of the study was to…

In this paper, we provide evidence of the impact of early algebra (EA) over time. We document this impact in the following ways: (a) by showing the performance over time of an experimental group of 15 children on an algebra assessment, from 3rd to 5th grade; and (b) by showing how the performance on an algebra assessment of children from an…

This study surveyed current third-, fourth- and fifth-grade teachers in two small school districts in the southeast. One school district has initiated a technology initiative in its elementary schools. The other school district involved in the study incorporates technology but does not have a specified technology initiative. This dissertation was…

The "evidence-centered design" (ECD) framework is a powerful tool that supports careful and critical thinking about the identification and accumulation of evidence in assessment contexts. In this paper, we demonstrate how the ECD framework provides critical support for designing simulation studies to investigate statistical methods…

The current study explores first, second and third-year UK accounting students' perceptions of authorial identity and their implications for unintentional plagiarism. The findings suggest that, whilst all students have reasonably positive perceptions of their authorial identity, there is room for improvement. Significant differences in second-year…

Likert questionnaires are widely used in survey research, but it is unclear whether the item data should be investigated by means of parametric or nonparametric procedures. This study compared the Type I and II error rates of the "t" test versus the Mann-Whitney-Wilcoxon (MWW) for five-point Likert items. Fourteen population…

This study investigated the effect of non-traditional guided inquiry instruction on middle school students' conceptual understandings of lunar concepts. Multiple data sources were used to describe participants' conceptions of lunar phases and their cause, including drawings, interviews, and a lunar shapes card sort. The data were analyzed via a…

The Wilcoxon statistics are usually taught as nonparametric alternatives for the 1- and 2-sample Student-"t" statistics in situations where the data appear to arise from non-normal distributions, or where sample sizes are so small that we cannot check whether they do. In the past, critical values, based on exact tail areas, were…

This study was conducted with 93 freshmen and 82 senior prospective mathematicians and mathematics teachers in order to investigate how they construct and evaluate proofs and whether there are any significant differences in their proof construction (with respect to department and grade) and proof evaluation (with respect to department)…