The information that is gained through various analyses of the residual scores yielded by the least squares regression model is explored. In fact, the most widely used methods for detecting data that do not fit this model are based on an analysis of residual scores. First, graphical methods of residual analysis are discussed, followed by a review…

A modification of the usual graphical representation of heterogeneous regressions is described that can aid in interpreting significant regions for linear or quadratic surfaces. The standard Johnson-Neyman graph is a bivariate plot with the criterion variable on the ordinate and the predictor variable on the abscissa. Regression surfaces are drawn…

The aim of good data graphics is to display data accurately and clearly. This definition is used as a point of departure for developing 12 rules of bad data display: (1) show as little data as possible (minimize the data density); (2) hide what data you do show (minimize the data-ink ratio); (3) ignore the visual metaphor altogether; (4) only…

This document presents an application of cost-benefit analysis to a hypothetical university parking problem. After discussing cost-benefit analysis in general, the document applies this technique to hypothetical data in light of a checklist for general cost-benefit procedure. The checklist includes the following steps: (1) examine and quantify…

The aim of this catalogue of wallcharts is to provide a list of charts and flannelgraphs suitable for use in schools so that teachers, education authorities, and others may have on hand a concise reference to all charts available on any particular topic. All charts of specific teaching value designed especially for wall display and at least 10…

Graphical methods for evaluating the fit of Johnson's hierarchical clustering schemes are presented together with an example. These evaluation methods examine the extent to which the clustering algorithm can minimize the overlap of the distributions of intracluster and intercluster distances. (Author)

This study tested the effectiveness of teaching concepts in high school economics first by verbal instruction and then by graphs or other imagery. Eighty-three high school seniors were taught by the method above, by reversing the order of that method, and by verbal instruction only. Results are discussed. (Author/MT)

Discusses the use of quantitative graphs in newspapers and identifies 10 common problems to avoid in the use of informational graphics, including (1) the tilted graph; (2) the stacked graph; (3) the convention-violating graph; (4) the unnecessarily three-dimensional graph; and (5) the overly complex graph. (MM)

An interesting graphical interpretation of complex roots is presented, since it is probably unfamiliar to many mathematics teachers. (MNS)

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…

Describes a kinship graph system implemented in the APL computer language, including the way in which information about individuals is entered into the database and the various ways in which the computer can trace and display family relationships. (MBR)

This guide provides students with practice for all the major types of graphs they are likely to encounter. It includes information on graphs of various families of algebraic functions; bar, line, and circle graphs; the creation, reading, and interpretation of graphs; and the use of graphing calculators. (MVL)

This report is a compilation of input and output measures and other statistics in reference to Idaho's public libraries, covering the period from October 1997 through September 1998. The introductory sections include notes on the statistics, definitions of performance measures, Idaho public library rankings for fiscal year 1996, and a state map…

Three examples of the use of intuitive geometrical ideas in clarifying analytical results. (MM)