Wan, Tim S. (2021) Mathematical modelling in behavioural and social science. PhD thesis, University of Warwick.

PDF WRAP_THESIS_Wan_2021.pdf - Submitted Version Embargoed item. Restricted access to Repository staff only until 3 January 2025. Contact author directly, specifying your specific needs. - Requires a PDF viewer. Download (2866Kb)

Request Changes to record.

Abstract

Mathematical modelling is considered a bridge between mathematics and other scientific areas. It provides helpful tools for studies and analysis of phenomena that discover in different areas. This doctoral thesis presents the difference between applying mathematical modelling to physical and psychological measurements and why it is necessary to build up new mathematical models for application in behavioural and social science. And then, we present three different mathematical models of correlation analysis and regression models to show the improvement of using these modelling the analysis of human behaviour process phenomena. The thesis introduces three different mathematical models. The theory, development, the application is summarised, analysed, and discussed using coordinates transformation, ordinary differential equations, dynamic systems, sigmoid function, and non-linear systems, with these complex theories being used in this thesis. The results presented in this thesis show the benefit of using advanced mathematics to develop an estimated model in behavioural science and translate complex mathematical theory into the social science domain. This thesis presents a correlation reduction method and two regression models for data analysis. The thesis will show how the brand-new correlation reduction method could benefit factor analysis in behavioural science and differs from other methods, such as principal component analysis, as well as how to better understand and fit one U-shaped and S-shaped relationship via two different regression models.

Item Type:	Thesis (PhD)
Subjects:	B Philosophy. Psychology. Religion > BF Psychology H Social Sciences > H Social Sciences (General) Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Mathematics, Social sciences -- Mathematical models, Psychology -- Mathematical models, Human behavior -- Mathematical models, Numerical analysis, Social sciences -- Research
Official Date:	October 2021
Dates:	Date Event October 2021 UNSPECIFIED
Institution:	University of Warwick
Theses Department:	Department of Engineering
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Pecchia, Leandro ; Massaro, Sebastiano
Format of File:	pdf
Extent:	v, 143 pages : illustrations
Language:	eng

Request changes or add full text files to a record

Repository staff actions (login required)

View Item