This article presents the results of a qualitative research with a group of 15 university students of social sciences on informal inferential reasoning developed in a computer environment on concepts involved in the confidence intervals. The results indicate that students developed a correct reasoning about sampling variability and visualized…

A growing body of research suggests that accounting for student specific variability in educational data can improve modeling accuracy and may have implications for individualizing instruction. The Additive Factors Model (AFM), a logistic regression model used to fit educational data and discover/refine skill models of learning, contains a…

Amid the implementation of new curriculum standard regarding statistics and new recommendations for preservice secondary mathematics teachers [PSMTs] to teach statistics, there is a need to examine the current state of PSMTs' common statistical knowledge. This study reports on the statistical knowledge 217 PSMTs from a purposeful sample of 18…

The research reported here uses a pre/post-test model and stimulated recall interviews to assess teachers' statistical reasoning about comparing distributions, when enrolled in a graduate-level statistics education course. We discuss key aspects of the course design aimed at improving teachers' learning and teaching of statistics, and the…

The widely-used Tukey's HSD index is not produced in the current version of SPSS (i.e., PASW Statistics, version 18), and a computer program named "HSD Calculator" has been chosen to amend this problem. In comparison to hand calculation, this program application does not require table checking, which eliminates potential concern on the size of a…

The problem with "classical" statistics all invoking the mean is that these estimates are notoriously influenced by atypical scores (outliers), partly because the mean itself is differentially influenced by outliers. In theory, "modern" statistics may generate more replicable characterizations of data, because at least in some…

Clinical significance is an important concept in research, particularly in education and the social sciences. The present article first compares clinical significance to other measures of "significance" in statistics. The major methods used to determine clinical significance are explained and the strengths and weaknesses of clinical significance…

Many students share a popular misconception that statistics is a subject-free methodology derived from invariant and timeless mathematical axioms. It is proposed that statistical education should include the aspect of history/philosophy of science. This article will discuss how statistical methods developed by Karl Pearson and R. A. Fisher are…

Twenty Monte Carlo studies on multiple comparison (MC) techniques were conducted to examine which MC technique was the "method of choice." The results from these studies had several apparent contradictions when different techniques were investigated under varying sample size and variance conditions. Box's coefficient of variance…

This investigation had two major purposes. The first was to explore the use of an inferential technique called Tukey's Jackknife in establishing a confidence interval about cooefficient alpha reliability. The second purpose was to study the robustness of the Feldt and the jackknife procedures when the data fails to satisfy usual normality…

This paper demonstrates some characteristics that all parametric statistics have in common, using the general linear model as a framework and emphasizing that canonical correlation analysis is the general linear model. Four characteristics of the general linear model are delineated and explained using a program for the Statistical Package for the…

Minitab is a statistical computing system which uses simple language, produces clear output, and keeps track of bookkeeping automatically. Error checking with English diagnostics and inclusion of several default options help to facilitate use of the system by students. Minitab II is an improved and expanded version of the original Minitab which…

The purpose of this paper is to indicate a procedure for the analysis of data in which aptitude-treatment interactions are suspected. Procedures used in preliminary examination of data are discussed, after which the focus is on when to use analysis of covariance and aptitude-treatment interaction analysis. Finally, the steps in determining…

Doublespeak--inflated, involved, and often deliberately ambiguous language--can occur in the interpretation of statistics when a "credible" statistic is misused, when an unsupported number is passed off as a credible statistic, or when the limitations of a statistic are not known. This paper, intended for English teachers who are…

An explanation of the misuse of statistical significance testing and the true meaning of "significance" is offered. Literature about the criticism of current practices of researchers and publications is reviewed in the context of tests of significance. The problem under consideration occurs when researchers attempt to do more than just establish…