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   <dc:title>Evaluation of surrogate endpoints using information-theoretic measure of association based on Havrda and Charvat entropy</dc:title>
   <dc:creator>Pardo Llorente, María del Carmen</dc:creator>
   <dc:creator>Zhao, Qian</dc:creator>
   <dc:creator>Jin, Hua</dc:creator>
   <dc:creator>Lu, Ying</dc:creator>
   <dcterms:abstract>Surrogate endpoints have been used to assess the efficacy of a treatment and can potentially reduce the duration and/or number of required patients for clinical trials. Using information theory, Alonso et al. (2007) proposed a unified framework based on Shannon entropy, a new definition of surrogacy that departed from the hypothesis testing framework. In this paper, a new family of surrogacy measures under Havrda and Charvat (H-C) entropy is derived which contains Alonso’s definition as a particular case. Furthermore, we extend our approach to a new model based on the information-theoretic measure of association for a longitudinally collected continuous surrogate endpoint for a binary clinical endpoint of a clinical trial using H-C entropy. The new model is illustrated through the analysis of data from a completed clinical trial. It demonstrates advantages of H-C entropy-based surrogacy measures in the evaluation of scheduling longitudinal biomarker visits for a phase 2 randomized controlled clinical trial for treatment of multiple sclerosis.</dcterms:abstract>
   <dcterms:dateAccepted>2023-06-22T12:41:19Z</dcterms:dateAccepted>
   <dcterms:available>2023-06-22T12:41:19Z</dcterms:available>
   <dcterms:created>2023-06-22T12:41:19Z</dcterms:created>
   <dcterms:issued>2022-01-31</dcterms:issued>
   <dc:type>journal article</dc:type>
   <dc:identifier>https://hdl.handle.net/20.500.14352/73049</dc:identifier>
   <dc:identifier>2227-7390</dc:identifier>
   <dc:identifier>10.3390/math10030465</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:rights>open access</dc:rights>
   <dc:publisher>MDPI</dc:publisher>
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