ERIC Number: ED246763
Record Type: RIE
Publication Date: 1984-May
Reference Count: 0
Applications of Nonlinear Models. AIR 1984 Annual Forum Paper.
Stewart, Ian; Johnson, F. Craig
Some of the conceptual qualitative ideas needed to test nonlinear models empirically and to modify them are described. Relationships among these ideas and computer applications are also examined to elucidate the general process of nonlinear modeling. Two examples are presented along with a discussion of bifurcation, catastrophe, and maximum likelihood estimate methods. The first example concerns administrators' responses to innovation and uses a verbal description of events. The model is developed based on variables such as the amount of voluntary effort committed to the innovative project and the level of funding agreed to by the institution. An equation consistent with the hypotheses is presented. The second example starts with a mathematical model of promotions within an organization and shows how to go beyond the verbal statements. It is concluded that many observed phenomena in institutions are suggestive of nonlinear dynamics models. A number of standard types of dynamic behavior are well understood mathematics (catastrophe, periodicity, stochastic effects) and may be used to construct plausible models. (Author/SW)
Publication Type: Opinion Papers; Speeches/Meeting Papers
Education Level: N/A
Authoring Institution: N/A
Identifiers: AIR Forum; Catastrophe Theory; Nonlinear Models
Note: Paper presented at the Annual Forum of the Association for Institutional Research (24th, Fort Worth, TX, May 6-9, 1984).