Applications of Nonlinear Models. AIR 1984 Annual Forum Paper.
Saved in:
| Title: | Applications of Nonlinear Models. AIR 1984 Annual Forum Paper. |
|---|---|
| Language: | English |
| Authors: | Stewart, Ian, Johnson, F. Craig |
| Peer Reviewed: | N |
| Page Count: | 31 |
| Publication Date: | 1984 |
| Document Type: | Opinion Papers Speeches/Meeting Papers |
| Descriptors: | College Administration, Equations (Mathematics), Estimation (Mathematics), Higher Education, Institutional Research, Mathematical Models, Maximum Likelihood Statistics, Prediction, Statistical Studies |
| Abstract: | 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) |
| Entry Date: | 1984 |
| Accession Number: | ED246763 |
| Database: | ERIC |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=ED246763 Name: ERIC Full Text Category: fullText Text: Full Text from ERIC |
|---|---|
| Header | DbId: eric DbLabel: ERIC An: ED246763 AccessLevel: 3 PubType: Editorial & Opinion PubTypeId: editorialOpinion PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Applications of Nonlinear Models. AIR 1984 Annual Forum Paper. – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Stewart%2C+Ian%22">Stewart, Ian</searchLink><br /><searchLink fieldCode="AR" term="%22Johnson%2C+F%2E+Craig%22">Johnson, F. Craig</searchLink> – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: N – Name: Pages Label: Page Count Group: Src Data: 31 – Name: DatePubCY Label: Publication Date Group: Date Data: 1984 – Name: TypeDocument Label: Document Type Group: TypDoc Data: Opinion Papers<br />Speeches/Meeting Papers – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22College+Administration%22">College Administration</searchLink><br /><searchLink fieldCode="DE" term="%22Equations+%28Mathematics%29%22">Equations (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Estimation+%28Mathematics%29%22">Estimation (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Higher+Education%22">Higher Education</searchLink><br /><searchLink fieldCode="DE" term="%22Institutional+Research%22">Institutional Research</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Models%22">Mathematical Models</searchLink><br /><searchLink fieldCode="DE" term="%22Maximum+Likelihood+Statistics%22">Maximum Likelihood Statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Prediction%22">Prediction</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+Studies%22">Statistical Studies</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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) – Name: DateEntry Label: Entry Date Group: Date Data: 1984 – Name: AN Label: Accession Number Group: ID Data: ED246763 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=ED246763 |
| RecordInfo | BibRecord: BibEntity: Languages: – Text: English PhysicalDescription: Pagination: PageCount: 31 Subjects: – SubjectFull: College Administration Type: general – SubjectFull: Equations (Mathematics) Type: general – SubjectFull: Estimation (Mathematics) Type: general – SubjectFull: Higher Education Type: general – SubjectFull: Institutional Research Type: general – SubjectFull: Mathematical Models Type: general – SubjectFull: Maximum Likelihood Statistics Type: general – SubjectFull: Prediction Type: general – SubjectFull: Statistical Studies Type: general Titles: – TitleFull: Applications of Nonlinear Models. AIR 1984 Annual Forum Paper. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Stewart, Ian – PersonEntity: Name: NameFull: Johnson, F. Craig IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Type: published Y: 1984 |
| ResultId | 1 |
