Through a series of explorations, this article will demonstrate how the Kentucky Derby winning times dataset provides various opportunities for introductory and advanced topics, from data processing to model building. Although the final goal may be a prediction interval, the dataset is rich enough for it to appear in several places in an…

Areal data have been used to good effect in a wide range of sociological research. One of the most persistent problems associated with this type of data, however, is the need to combine data sets with incongruous boundaries. To help address this problem, we introduce a new method for identifying common geographies. We show that identifying common…

This article summarizes a conceptual framework and simple mathematical methods of estimating the probability that one event was a necessary cause of another, as interpreted by lawmakers. We show that the fusion of observational and experimental data can yield informative bounds that, under certain circumstances, meet legal criteria of causation.…

A short series of practical classroom mathematics activities employing the use of a large and publicly accessible scientific data set are presented for use by students in years 9 and 10. The activities introduce and build understanding of integral calculus and trigonometric functions through the presentation of practical problem solving that…

In educational technology and learning sciences, there are multiple uses for a predictive model of whether a student will perform a task correctly or not. For example, an intelligent tutoring system may use such a model to estimate whether or not a student has mastered a skill. We analyze the significance of data recency in making such…

This study lies at an intersection between advancing educational data mining methods for detecting students' knowledge-in-action and the broader question of how conceptual and mathematical forms of knowing interact in exploring complex chemical systems. More specifically, it investigates students' inquiry actions in three computer-based models of…

The Verhulst model can be used to forecast the sequence, which is characterized as non-monotone and fluctuant sequence or saturated S-form sequence. According to the situation of national enrollment scale of college, this paper forecasts the quantity of students taking entrance examination to college with a Verhulst model with remedy based on data…

False drops occur in a system of random superimposed coding for edge-notched, punched, and feature cards. Formulae for the false dropping fraction are derived, and figures and tables are given for the calculated values in the most popular scheme. (Author/LS)

The computation of the cost of various pay proposals may be reduced to a series of mathematical formulas that may then be utilized in conjunction with an electronic digital computer to quickly and accurately determine the maximum salaries payable with a given amount of funds. (Author)

The document covers an operational entity-simulation system designed to permit observation and selective control of a military personnel system under a variety of policy alternatives. PERSYM is modularized to facilitate conversion to different military forces and the programing and inclusion of alternative policy logic modules. The system…

Reasons/methods for standardizing discriminant function coefficients are reviewed, and use of the pooled within-groups variance estimate is examined. Use of total or pooled within-groups estimates can be justified only on purely mathematical grounds. Total variance estimates offer a more consistent and parsimonious approach than do pooled…

This three-part article introduces a population dynamics model of an information processing system. The first part describes the general model and defines the terms used, the second describes the functional relationships between components, and the third explores the hypothesized emergence of increasingly complex, hierarchical information systems.…

This report presents the rationale, motivation, and formal description underlying the General Retrieval and Information Processor for Humanities Oriented Studies (GRIPHOS) Management Information System. This system was devised to handle "card catalog" types of information; perform searches that are usually carried out in archives,…

Presented are the results of a study conducted to develop algorithms for ordering and organizing data that can be presented in a two-dimensional matrix form. The purpose of the work was to develop methods to extract latent data patterns, grouping, and structural relationships which are not apparent from the raw matrix data. The algorithms…

Training programs for data processing personnel are plagued by the rapid turnover of the technology involved. An attempt was made to provide a self-paced training plan for a large, data processing staff. Factor analyses of questionnaires about the skills and tasks involved divided the population into specialization groups. Within the…