1 AIT Asian Institute of Technology

Some problems in multiple linear regression

AuthorNg, Kwang Iak
Call NumberAIT SSPR no.CA-82-10
Subject(s)Regression analysis--Computer programs
NoteA special study submitted in partial fulfillment of the requirements for the degree of Master of Science, School of Engineering and Technology
PublisherAsian Institute of Technology
AbstractThe study deals with stepwise procedure of selecting subset of regressor variables and a brief review of two popular methods to overcome undesirable behaviors of least squares estimation of regression coefficients when regressor variables exhibit mild or strong multicollinearity. In stepwise regression , the use of AIC as selecting criterion is investigated. It is found that AIC does not differ from other criteria. The serious effects of arbitrary chosen F Values on the ways the selection procedure behaves arc illustrated . A solution for automatic generation of F values based on reduction factor SSE(p)/SSE(p-1) is also presented. An attempt has been made to compare the performance of ridge regression and regression on principal components to overcome multicollinearity. The comparison statistics are obtained from sample data simulated by Owen and Steck scheme. The developed computer programs for this study include stepwise regression program (STPRGA), ridge regression program (RIDGE) for respective k values, program to simulate sample data (SIMU), predictive performance and reporting programs for obtaining the results of analysis. The distinct feature of STPRGA is its capability to include ridge regression analysis and has rooms tor many useful features to be added .
Year1982
TypeSpecial Study Project Report (SSPR)
SchoolSchool of Engineering and Technology
DepartmentDepartment of Information and Communications Technologies (DICT)
Chairperson(s)Huynh, Ngoc Phien
Examination Committee(s)Malik, Ghulam M. ; Vilas Wuwongse
Scholarship Donor(s)The Australian Government
DegreeSpecial Studies Project Report (M. Sc.) - Asian Institute of Technology, 1982


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