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oai:recercat.cat:2117/888202025-07-23T05:46:17Zcom_2072_1033col_2072_452951

Testing Goodness-of-Fit of Parametric Survival Models for Right Censored Data Besalú Mayol, Mireia Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa Gómez Melis, Guadalupe Langohr, Klaus Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica Survival analysis (Biometry) Goodness-of-fit Right-censored Chi-squared Implementation Anàlisi de supervivència (Biometria) Classificació AMS::62 Statistics::62N Survival analysis and censored data The main goal of this work it is to present a review of the existing methods to deal with the goodness-of-fit for right-censored data. Goodness-of-fit tests are developed to assess whether a given distribution is suited to a data set. Literature on goodness-of-fit tests for right-censored data is scarce and scattered. This master s degree thesis is divided into three different parts. The first part is devoted to review the bibliography of goodness-of-fit test for parametric models with right-censored data. We classify them according to the type of censoring and the methodology used, and we also propose a unified notation. The second part it focuses on the theoretic explanation of the Generalized Chi Squared test. Finally, the last part of the work presents an implementation in R of the Generalized Chi-Squared test for complete and right-censored data. We also have applied the above methods to some data sets and we have analyzed the results. 2016-06 Master thesis https://hdl.handle.net/2117/88820 FME-1346 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access application/pdf Universitat Politècnica de Catalunya Universitat de Barcelona