Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

8-2004

Committee Chair or Co-Chairs

Robert M. Price Jr.

Committee Members

Anant P. Godbole, Edith Seier, Robert B. Gardner

Abstract

In this thesis, I am interested in estimating the difference between dependent proportions from a 2 × 2 contingency table when there are missing data. The Expectation-Maximization (EM) algorithm is used to obtain an estimate for the difference between correlated proportions. To obtain the standard error of this difference I employ a resampling technique known as bootstrapping. The performance of the bootstrap standard error is evaluated for different sample sizes and different fractions of missing information. Finally, a 100(1-α)% bootstrap confidence interval is proposed and its coverage is evaluated through simulation.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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