In 1881, Donald MacAlister posed a problem in the "Educational Times" that remains relevant today. The problem centers on the statistical evidence for the effectiveness of a treatment based on a comparison between two proportions. A brief historical sketch is followed by a discussion of two default Bayesian solutions, one based on a…

Multilevel models are often used to evaluate hypotheses about relations among constructs when data are nested within clusters (Raudenbush & Bryk, 2002), although alternative approaches are available when analyzing nested data (Binder & Roberts, 2003; Sterba, 2009). The overarching goal of this article is to suggest when it is appropriate…

Rising costs, burgeoning debt, and falling credit ratings are among the financial challenges faced by small, tuition-dependent private colleges, including many members of the Council for Christian Colleges & Universities (CCCU). In their efforts to generate more revenue, most of these institutions have focused on enrollment strategies as the…

Background/Context: Principles of evidential reasoning have often been discussed in the context of educational and psychological measurement with respect to construct validity and validity arguments. More recently, Mislevy proposed the metaphor of assessment as an evidentiary argument about students' learning and abilities given their…

An in-class activity is described that can be used not only to motivate hypothesis testing, but also to understand and compute the p-value and power in a statistical test. (Contains 3 figures.)

We examined the influences of different facets of psychological collectivism (Preference, Reliance, Concern, Norm Acceptance, and Goal Priority) on team functioning at 3 different performance depictions: initial team performance, end-state team performance, and team performance change over time. We also tested the extent to which team-member…

The role of the on-going social father in America has received increased attention in the last quarter century. In some quarters, the U.S. father has been viewed as supernumerary or optional. In other quarters, the U.S. father has been perceived to be essential to the optimum development of his children. Still other factions have been intermediate…

Valid statistical tests for one-subject experiments are necessary to justify statistical inferences and to ensure the acceptability of research reports to a wide range of journals and readers. The validity of randomization tests for one-subject experiments is examined. (See TM 505 800-801).(Author/JKS)

Two types of problems supposedly associated with the use of randomization tests for single-subject experiments have been discussed: the random introduction of treatments and the repeated alternation of treatments. Ways to reduce the adverse effects associated with these problems are presented. (See TM 505 799-800). (Author/JKS) (Author/JKS)

A simple example is presented that illustrates advantages of Bayesian and likelihood methods of inference relative to sampling distribution methods of inference. It is argued that Bayesian and likelihood methods of inference should be utilized more generally to analyze real data. (Author/CTM)

This article examines the intersection of age and ICT (information and communication technology) competency and critiques the "digital natives versus digital immigrants" argument proposed by Prensky (2001a, 2001b). Quantitative analysis was applied to a statistical data set collected in the context of a study with over 2,000 pre-service…

A table of critical values is presented for use with Chacko's ordered alternatives test for the analysis of variance. (Author/JKS)

Problems associated with randomization tests in single- case experiments are discussed. This article follows a discussion of randomization tests in single case studies in the same issue of this journal. (See TM 505 799; 505 801).(Author/JKS)

Formulae and graphs are presented allowing computation of the variances of three prototypical distributions over a finite number of categories. The uses of the variances of the maximum variance distribution, the uniform distribution and a unimodal triangular distribution to make inferences about distribution shapes are shown in several examples.…

Sternberg (1981) presented correlations based on independent samples of about 25 cases each with a statistical comparison in a population parameter of zero and interpreted his results as if with appropriate tests. He needed to use a nonzero population parameter and compare for the difference between the z transformations. (Author/CM)