A model which approaches the problem of characterizing distributions of test validity correlation coefficients from the perspective of finite mixture theory is presented. This estimation method offers advantages over validity generalization procedures. Examples are provided to illustrate applications of the method. (SLD)

The phenomenon of 2 x 2 x 2 arrays having nonmaximal rank with positive probability, pointed out by J. Kruskal (1989), is generalized to 2 x "n" x "n" arrays. It is concluded that a pair of asymmetric square matrices can be diagonalized simultaneously with positive probability. (SLD)

Submitted the Mathematics Anxiety Rating Scale (MARS) (F. Richardson and R. Suinn, 1972) to a reliability generalization analysis to characterize the variability of measurement error in MARS scores across administrations and identify characteristics predictive of score reliability variations. Results for 67 analyses generally support the internal…

The meta-analysis of coefficient alpha across many studies is becoming more common in psychology by a methodology labeled reliability generalization. Existing reliability generalization studies have not used the sampling distribution of coefficient alpha for precision weighting and other common meta-analytic procedures. A framework is provided for…

It is reasonably well known that the ratios of consecutive terms of a Fibonacci series converge to the golden ratio. This note presents a simple, complete proof of an interesting generalization of this result to a whole family of 'precious metal ratios'.

A review of studies since 1980 reporting social interaction interventions for preschool and kindergarten aged children is provided. Focus is on generalization and maintenance efforts. Reviewed studies fall into two categories, peer-mediated and child specific, and are classified by types of generalization strategies used based upon Stokes and…

Four experiments explored participants' understanding of the abstract principles governing computer simulations of complex adaptive systems. Experiments 1, 2, and 3 showed better transfer of abstract principles across simulations that were relatively dissimilar, and that this effect was due to participants who performed relatively poorly on the…

This note considers the problem of determining, for fixed k and m, all values of r, 0 [less than] r [less than] [empty set](m), such that k[superscript [empty set](m)+1] [equivalent to] k[superscript r](mod m). More generally, if k, m and c are given, necessary and sufficient conditions are given for k[superscript c] [equivalent to] k[superscript…

Research investigating algebra students' abilities to generalize and justify suggests that they experience difficulty in creating and using appropriate generalizations and proofs. Although the field has documented students' errors, less is known about what students do understand to be general and convincing. This study examines the ways in which…

Purpose: To extend formal models of language learnability to applications in clinical treatment of children with functional phonological delays. Method: The focus of the narrative review is on phonological complexity. This follows from learnability theory, whereby complexity in the linguistic input to children has been shown to trigger language…

Purpose: This study examined the benefits of a self-administered, clinician-guided, computer-based, cued naming therapy. Results of intense and nonintense treatment schedules were compared. Method: A single-participant design with multiple baselines across behaviors and varied treatment intensity for 2 trained lists was replicated over 4…

Current views on the acquisition of PRO can roughly be divided into two areas: lexical and syntactic accounts. We present data on one verb, "decide," that yields data that not only differs from the data for other similar verbs with the same children, but does not lend itself easily to either type of account. Data from a sentence elicitation task…

A sequential design utilizing identical samples was used to classify mixed methods studies via a two-dimensional model, wherein sampling designs were grouped according to the time orientation of each study's components and the relationship of the qualitative and quantitative samples. A quantitative analysis of 121 studies representing nine fields…

Objective: To evaluate the extent to which anger management training provided within a learning disabilities day service generalizes to residential settings. Method: Eleven day-service users participated in one of two anger management groups. Treatment was delivered by day-service staff and an assistant psychologist, using a standard…

Generic noun phrases ("Birds lay eggs") are important for expressing knowledge about abstract kinds. The authors hypothesized that genericity would be part of gist memory, such that young children would appropriately recall whether sentences were presented as generic or specific. In 4 experiments, preschoolers and college students (N = 280) heard…