caa a22 4500 378926063 CHVBK 20180305123617.0 cr unu---uuuuu 161128e20041227xx s 000 0 eng 10.2202/1544-6115.1104 doi (NATIONALLICENCE)gruyter-10.2202/1544-6115.1104 Validation and Discovery in Markov Models of Genetics Data [Elektronische Daten] [Victor De Gruttola, Andrea S Foulkes] Markov models provide a natural framework for modeling cellular and molecular level changes over time. Kalbfleisch and Lawless propose using a Chi-squared statistic for assessing the appropriateness of assuming a first-order, homogeneous Markov process. While this statistic provides a global test of the Markov assumption, it does not permit identification of individual departures. We consider two approaches for discovering specific departures from the Markov assumption. First, we propose a diagnostic that tests whether the number of observed transitions out of a given state at a given time point is different than expected. Second, we construct statistics based on the number of observations in each state at each time point. In both cases, we construct multiple correlated statistics and testing is achieved through simulations. These approaches are applied to HIV genetics sequences measured over time. ©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston Computational Biology/Bioinformatics nationallicence Disease Modeling nationallicence Genetics nationallicence Longitudinal Data Analysis and Time Series nationallicence Markov process nationallicence stationarity nationallicence first-order nationallicence genetics nationallicence HIV-1 nationallicence biomarkers nationallicence repeated measures nationallicence De Gruttola Victor Harvard School of Public Health aut Foulkes Andrea S. University of MA aut Statistical Applications in Genetics and Molecular Biology De Gruyter 3/1(2004-12-27), 1-15 3:1<1 2004 3 sagmb https://doi.org/10.2202/1544-6115.1104 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2202/1544-6115.1104 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- De Gruttola Victor Harvard School of Public Health aut NATIONALLICENCE 700 1- Foulkes Andrea S. University of MA aut NATIONALLICENCE 773 0- Statistical Applications in Genetics and Molecular Biology De Gruyter 3/1(2004-12-27), 1-15 3:1<1 2004 3 sagmb CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter