Date of Award


Document Type


Degree Name

Doctor of Philosophy (PhD)


Mathematical Sciences

Committee Member

Dr. William Bridges, Committee Chair

Committee Member

Dr. Brook Russell, Co-Chair

Committee Member

Dr. Colin Gallagher

Committee Member

Dr. Patrick Gerard


In this dissertation, our objective is to determine the impact of air temperature and rainfall on soil temperature with proximity to sidewalk. First, we concerned the many missing values in our data set. Some traditional and commonly used methods of imputation are introduced and then applied to the data set. Then, we concerned the relationships among the soil temperature, air temperature, and rainfall data. Since these data are time series, Granger Causality is used to estimate the relationships. Lastly, we focused on the analysis of the actual study design. The four distances are considered as treatments and the three locations were considered blocks resulting in a Randomized Complete Block Design (RCBD). Results from the time series analyses were incorporated into the study design to determine the effect of sidewalk on soil temperature.