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Virginia Polytechnic Institute and State University

Entropy measures on the induced course load matrix

Abstract

dc:description.abstract

Matrices have been developed by the National Center for Higher Education Management Systems at Western Interstate Commission for Higher Education that illustrate and quantify the relationships between and among credit hours produced (in courses, departments, disciplines, and other aggregations) and the degree programs (lower division, upper division, and graduate students in various majors) that consume the credits. A matter of interest is the extent to which course offerings (herein referred to as disciplines) complement and are complemented by the various student programs. A numerical measure of complementation among disciplines and programs has been developed. This measure, based on the entropy concept of information theory, is always a number between zero and one. Applied to a discipline, the measure expresses the extent to which that discipline's credit hour output is either monopolized by a subset of programs or consumed evenly by all programs. Similarly, applied to a program the measure expresses the extent to which it is interdisciplinary in content. Hence, the measure provides an expression of monopoly or equilibrium on a scale from zero to one, and an expression of interdisciplinarity, also on a scale of zero to one. This permits both disciplines and programs (at whatever levels of aggregation) to be quantified and ranked, for purposes of description, analysis, projection, goal-setting, programming, budgeting, and other processes of institutional management. In addition, certain global measures are developed which express the complementation between all disciplines, between all programs, and between all disciplines and programs. These are measures of curriculum integration and can be applied to a single institution or portion thereof at a single point in time; they can be applied through time. Under certain conditions and subject to various precautions, they can be applied to produce interinstitutional comparisons. The development of these measures is presented at length, and their application is illustrated at length. Potential uses and appropriate lines of related inquiry are enumerated.

Degree

thesis:*
Name thesis:degree_name
Doctor of Education
Level thesis:degree_level
doctoral
Department dc:contributor.department
Higher Education Administration
Grantor dc:publisher
Virginia Polytechnic Institute and State University
Year dc:date.issued
1976

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Hudgins, Merit William

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en_US

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/10919/88692
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/88692

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
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related terms
citation

Hudgins, Merit William. Entropy measures on the induced course load matrix. doctoral thesis, Virginia Polytechnic Institute and State University, 1976. http://hdl.handle.net/10919/88692