Theses and Dissertations

Issuing Body

Mississippi State University

Advisor

Woody, Jonathan

Committee Member

DuBien, Janice

Committee Member

Patil, Prakash

Date of Degree

8-10-2018

Document Type

Graduate Thesis - Open Access

Major

Statistics

Degree Name

Master of Science

College

College of Arts and Sciences

Department

Department of Mathematics and Statistics

Abstract

Ordinary Least Squares (OLS) models are popular tools among field scientists, because they are easy to understand and use. Although OLS estimators are unbiased, it is often advantageous to introduce some bias in order to lower the overall variance in a model. This study focuses on comparing ridge regression and the LASSO methods which both introduce bias to the regression problem. Both approaches are modeled after the OLS but also implement a tuning parameter. Additionally, this study will compare the use of two different functions in R, one of which will be used for ridge regression and the LASSO while the other will be used strictly for the LASSO. The techniques discussed are applied to a real set of data involving some physiochemical properties of wine and how they affect the overall quality of the wine.

URI

https://hdl.handle.net/11668/19879

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