Abstract

The mathematics behind two statistical methods used for prediction are developed: principal component analysis and naive Bayesian classifier. Principal component analysis uses variables from a data set to create a smaller number of new, uncorrelated variables. The naive Bayesian classifier method predicts which class each sample in a data set belongs to based on an independence assumption, conditional probabilities, and Bayes' theorem. To illustrate each method we implement to predict first year retention for College of Wooster students. The data from College of Wooster students is used to show how the methods are implemented and how results from each method are analyzed.

Advisor

Ramsay, John

Department

Mathematics

Disciplines

Applied Mathematics

Publication Date

2013

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis

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© Copyright 2013 John Angelo