Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
8-2008
Committee Chair or Co-Chairs
Robert M. Price Jr.
Committee Members
Yali Liu, Robert B. Gardner, Edith Seier
Abstract
Percentiles are used everyday in descriptive statistics and data analysis. In real life, many quantities are normally distributed and normal percentiles are often used to describe those quantities. In life sciences, distributions like exponential, uniform, Weibull and many others are used to model rates, claims, pensions etc. The need to compare two or more independent populations can arise in data analysis. The ratio of percentiles is just one of the many ways of comparing populations. This thesis constructs a large sample confidence interval for the ratio of percentiles whose underlying distributions are known. A simulation study is conducted to evaluate the coverage probability of the proposed interval method. The distributions that are considered in this thesis are the normal, uniform and exponential distributions.
Document Type
Thesis - unrestricted
Recommended Citation
Muindi, Pius Matheka, "Interval Estimation for the Ratio of Percentiles from Two Independent Populations." (2008). Electronic Theses and Dissertations. Paper 1969. https://dc.etsu.edu/etd/1969
Copyright
Copyright by the authors.