Date of Award

Summer 2025

Document Type

Open Access Thesis

Department

Statistics

First Advisor

Ian Dryden

Abstract

This study analyzes the life expectancy for 237 countries from 1950-2023 and the healthcare expenditure for 50 countries from 1970-2022, and how life expectancy and healthcare expenditure relate to each other. Functional Principal Components Analysis was used to analyze the life expectancy and healthcare expenditure for each of the countries. Additionally, the regions of the countries were analyzed to identify any regional trends for the life expectancy data. Due to missing data and the structure of the healthcare data, multiple imputation methods and Principal Component Analysis techniques were explored for the healthcare data. Furthermore, a simulation study was conducted to assess the accuracy of these methods. Additionally, Canonical Correlation Analysis was used to understand the relationship between life expectancy and healthcare expenditure. To better understand the variability of the analysis and stability of the Principal Component loading and eigenfunctions, a boot-strapping simulation was conducted to see how repeatable the results are.

Rights

© 2025, Hagen Sanchez

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