{"product_id":"analysis-of-multivariate-survival-data-statistics-for-biology-and-health-9780387988733","title":"Analysis of Multivariate Survival Data (Statistics for Biology and Health)","description":"\u003cp\u003eSurvival data or more general time-to-event data occur in many areas  including medicine  biology  engineering  economics  and demography  but previously standard methods have requested that all time variables are univariate and independent. This book extends the field by allowing for multivariate times. Applications where such data appear are survival of twins  survival of married couples and families  time to failure of right and left kidney for diabetic patients  life history data with time to outbreak of disease  complications and death  recurrent episodes of diseases and cross-over studies with time responses. As the field is rather new  the concepts and the possible types of data are described in detail and basic aspects of how dependence can appear in such data is discussed. Four different approaches to the analysis of such data are presented. The multi-state models where a life history is described as the subject moving from state to state is the most classical approach. The Markov models make up an important special case  but it is also described how easily more general models are set up and analyzed. Frailty models  which are random effects models for survival data  made a second approach  extending from the most simple shared frailty models  which are considered in detail  to models with more complicated dependence structures over individuals or over time. Marginal modelling has become a popular approach to evaluate the effect of explanatory factors in the presence of dependence  but without having specified a statistical model for the dependence. Finally  the completely non-parametric approach to bivariate censored survival data is described. This book is aimed at investigators who need to analyze multivariate survival data  but due to its focus on the concepts and the modelling aspects  it is also useful for persons interested in such data  but\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45651868418101,"sku":"ByrdShop_0387988734","price":143.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780387988733.jpg?v=1781843032","url":"https:\/\/atxbooks.com\/products\/analysis-of-multivariate-survival-data-statistics-for-biology-and-health-9780387988733","provider":"ATX Books","version":"1.0","type":"link"}