Date on Honors Thesis

Spring 5-2022

Major

Mathematics

Minor

Biology

Examining Committee Member

Dr. Christopher Mecklin, Advisor

Examining Committee Member

Dr. Gopal Nath, Committee Member

Examining Committee Member

Dr. Manoj Pathak, Committee Member

Abstract/Description

Various techniques are used to create predictions based on count data. This type of data takes the form of a non-negative integers such as the number of claims an insurance policy holder may make. These predictions can allow people to prepare for likely outcomes. Thus, it is important to know how accurate the predictions are. Traditional statistical approaches for predicting count data include Poisson regression as well as negative binomial regression. Both methods also have a zero-inflated version that can be used when the data has an overabundance of zeros. Another procedure is to use computer algorithms, also known as machine learning, for predictions. Two specific algorithms used here are artificial neural networks (ANN) and k-nearest neighbors (KNN). This project aims to consider both traditional statistical modeling and algorithmic modeling to find which technique is the most accurate and therefore most effective. This will be accessed by using two datasets to test the assorted models.

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