While tables and formulas for Fisher's z transformations are commonly included in introductory statistics books, the reverse of this transformation, namely, Fisher's z to r, is not included. Two Fisher's z to r formulas are presented. (Author)

This paper presents formulas that can be used to approach the problem of nonresponse in survey research. (Author/AL)

One argument against the G index is that, unlike phi, it is not a correlation coefficient; yet, G conforms to the Kendall and E-coefficient definitions. The G index is also equal to the Pearson product moment correlation coefficient obtained from double scoring. (Author/CP)

Presents an interpolation theorem for an extended Boolean information retrieval model. Results show that whenever two or more documents are similarly ranked at any two points for a query containing exactly two terms, then they are similarly ranked at all points in between; and that results can fail for queries with more than two terms. (Author/LRW)

Discussion of fractional frequency distributions of authors with a certain (fractional) number of papers focuses on the use of Lotka laws to model theoretical fractional frequency distributions with one parameter. Shows that irregular fractional frequency distributions are a consequence of Lotka's law, not breakdowns of the law. (Author/LRW)

Demonstrates how the addition of a third "hidden" variable to the two parameters in Lotka's law makes this law equivalent, in a strictly logical sense, with Mandelbrot's law. Similarly, Lotka's inverse square law is made equivalent with Leimkuhler's law. It is also shown how Pareto's law fits into this framework. (29 references)…

Investigates the problem of fusing collections of documents provided by multiple information retrieval systems. A parameterized approach is suggested in which a parameter determines how the documents in the individual collections are interleaved to form a fused list of documents. (Author/LRW)

Explains vocabulary mining in information retrieval and describes a framework for vocabulary mining that allows the use of rough set-based approximations even when documents and queries are described using weighted, or fuzzy, representations. Examines coordination between multiple vocabulary views and applies the framework to the Unified Medical…

In this note the authors investigate ways to shorten the amount of work involved in using the Rational Roots Theorem to find the rational roots of a polynomial with integral coefficients. The first result is a proof of a fact that we had long suspected, but were never able to find the statement of in any of the college algebra textbooks we had…

This document shows a different way of adding lists of numbers to find a way of getting general formulae for figurate numbers and use Gauss?s method to check it.

A bioeconomic model is developed for the selective harvesting of a single species, inshore-offshore fishery, assuming that the growth of the species is governed by the Gompertz law. The dynamical system governing the fishery is studied in depth; the local and global stability of its non-trivial steady state are examined. Existence of a bionomic…

A series defining the antiderivative of an n th order differentiable function is defined. This series provides an explicit expression for the second part of the Fundamental Theorem of Calculus and can facilitate the establishment of new antiderivative functions.

Students gain greater understanding of the relationships between conics and their equations when they create art-based projects as a culminating activity. Students create drawings that include parabolas, circles, ellipses, and hyperbolas on grid paper and write equations used to create drawings on a different paper, which helps the students to…

Computerized adaptive testing is subject to security problems, as the item bank content remains operative over long periods and administration time is flexible for examinees. Spreading the content of a part of the item bank could lead to an overestimation of the examinees' trait level. The most common way of reducing this risk is to impose a…

This article describes a student-oriented classroom activity for exploring polynomials. In this activity teacher candidates apply technology to explore mathematics that they will teach but that they have not studied since high school. (Contains 10 figures.)