The results of this study determined that community college students who transfer to for-profit institutions are indeed different from students who follow traditional routes defined as public and non-profit institutions. This study compares the demographic characteristics, academic experiences, and socioeconomic factors of California community…

Continuous exponential families are applied to linking forms via a single-group design. In this application, a distribution from the continuous bivariate exponential family is used that has selected moments that match those of the bivariate distribution of scores on the forms to be linked. The selected continuous bivariate distribution then yields…

Background: Despite a powerful civil rights movement and legislation barring discrimination in housing markets, residential neighborhoods remain racially segregated. Purpose: This study examines the extent to which neighborhoods' racial composition is inherited across generations and the extent to which high schools' and colleges' racial…

A general diagnostic model was used to specify and compare two multidimensional item-response-theory (MIRT) models for longitudinal data: (a) a model that handles repeated measurements as multiple, correlated variables over time (Andersen, 1985) and (b) a model that assumes one common variable over time and additional orthogonal variables that…

The authors identify 2 major types of statistical data from which semantic representations can be learned. These are denoted as "experiential data" and "distributional data". Experiential data are derived by way of experience with the physical world and comprise the sensory-motor data obtained through sense receptors. Distributional data, by…

Although molecular clock theory is a commonly discussed facet of evolutionary biology, undergraduates are rarely presented with the underlying information of how this theory is examined relative to empirical data. Here a simple contextual exercise is presented that not only provides insight into molecular clocks, but is also a useful exercise for…

Examines significant studies, published from 1934 through 1987, which have contributed to an understanding of three central concerns in the specialty associated with Bradford's law: the appropriate formulation for Bradford's law, the parameters of the Bradford distribution, and the Bradford distribution's relationships to other distributions. (79…

Measuring the incidence of public spending in education requires an intergenerational framework distinguishing between what current and future generations--that is, parents and children--give and receive. In standard distributional incidence analysis, households are assumed to receive a benefit equal to what is spent on their children enrolled in…

Describes available variance component tests and presents three new score tests. One test uses the asymptotic normal distribution of the test statistic as a reference distribution; the others use a Satterthwaite approximation for the null distribution of the test statistic. Evaluates the performance of these tests through Monte Carlo simulation.…

Emphasis on problem solving in mathematics has gained considerable attention in recent years. While statistics teaching has always been problem driven, the same cannot be said for the teaching of probability where discrete examples involving coins and playing cards are often the norm. This article describes an application of simple probability…

Explains two basic approaches to bibliometric models (frequency-size, frequency-rank); cites 28 models; and analyzes three models--Price, Bookstein, and Brookes--by considering their internal properties, interrelationships, and generality. Validity of the generalizations is noted. Appendices include 32 references and list of 28 additional…

A model for preferential and triadic choice is derived in terms of weighted sums of central F distribution functions. It is a probabilistic generalization of Coombs' (1964) unfolding model from which special cases can be derived easily. This model for binary choice can be easily related to preference ratio judgments. (SLD)

Four empirical laws of bibliometrics--anomalous number, Lotka's, Zipf's, and Bradford's--together with Laplace's "law of succession" and de Solla Price's cumulative advantage distribution are shown to be almost identical. A simple model shows that the frequency forms conform with inverse square law over appropriate interval. (Fifteen…

Examines the properties of bibliometric distributions (application of mathematics and statistical methods to books and other written communications) in a nontechnical manner, covering similarities of the Lotka, Bradford, and Zipf distributions, the relationship between empirical laws and theories, and bibliometric concepts and theory construction.…

Explains Zipf's Law of Vocabulary Distribution (i.e., relationship between frequency of a word in a corpus and its rank), noting the discovery of the law, alternative forms, and literature relating to the search for a rationale for Zipf's Law. Thirty-eight references are cited. (EJS)