{"id":{"repo_id":"etsu","oai_identifier":"oai:dc.etsu.edu:etd-2076"},"canonical_url":"https://search.dev.ndltd.org/etd/etsu/oai:dc.etsu.edu:etd-2076","repository":{"repo_id":"etsu","name":"East Tennessee State University","base_url":"https://dc.etsu.edu/do/oai/"},"display":{"title":"Using the EM Algorithm to Estimate the Difference in Dependent Proportions in a 2 x 2 Table with Missing Data.","abstract":"<p>In this thesis, I am interested in estimating the difference between dependent proportions from a 2 &#215; 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-&#945;)% bootstrap confidence interval is proposed and its coverage is evaluated through simulation.</p>","abstract_html":"&lt;p&gt;In this thesis, I am interested in estimating the difference between dependent proportions from a 2 &amp;#215; 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-&amp;#945;)% bootstrap confidence interval is proposed and its coverage is evaluated through simulation.&lt;/p&gt;","abstract_has_math":false,"creators":["Talla Souop, Alain Duclaux"],"institution":null,"degree_name":"MS (Master of Science)","degree_level":"Thesis - unrestricted","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2004,"date_issued":"2004-08-18T07:00:00Z","date_published":"2004-08-18T07:00:00Z","updated_at":"2026-07-24T02:19:35Z","subjects":["EM algorithm","missing data","dependent proportions","bootstrap","Physical Sciences and Mathematics"],"languages":[],"rights":["Copyright by the authors."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dc.etsu.edu/etd/919","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Talla Souop, Alain Duclaux"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2004-08-18T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - unrestricted"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS (Master of Science)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["EM algorithm","missing data","dependent proportions","bootstrap","Physical Sciences and Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["Copyright by the authors."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dc.etsu.edu/context/etd/article/2076/viewcontent/Souop08102004.pdf","https://dc.etsu.edu/etd/919"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>In this thesis, I am interested in estimating the difference between dependent proportions from a 2 &#215; 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-&#945;)% bootstrap confidence interval is proposed and its coverage is evaluated through simulation.</p>"]},{"key":"dc:title","label":"Title","values":["Using the EM Algorithm to Estimate the Difference in Dependent Proportions in a 2 x 2 Table with Missing Data."]}]}],"canonical_facts":{"dc:creator":["Talla Souop, Alain Duclaux"],"dc:date.issued":["2004-08-18T07:00:00Z"],"dc:description.abstract":["<p>In this thesis, I am interested in estimating the difference between dependent proportions from a 2 &#215; 2 contingency table when there are missing data. 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