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A wild bootstrap approach for the Aalen-Johansen estimator.
Bluhmki, Tobias; Schmoor, Claudia; Dobler, Dennis; Pauly, Markus; Finke, Juergen; Schumacher, Martin; Beyersmann, Jan.
Afiliação
  • Bluhmki T; Institute of Statistics, Ulm University, Ulm, Germany.
  • Schmoor C; Clinical Trials Unit, Medical Center Freiburg, University of Freiburg, Freiburg, Germany.
  • Dobler D; Institute of Statistics, Ulm University, Ulm, Germany.
  • Pauly M; Institute of Statistics, Ulm University, Ulm, Germany.
  • Finke J; Department of Hematology, Oncology, and Stem-Cell Transplantation, Medical Center Freiburg, University of Freiburg, Freiburg, Germany.
  • Schumacher M; Institute for Medical Biometry and Statistics, Faculty of Medicine and Medical Center, University of Freiburg, Freiburg, Germany.
  • Beyersmann J; Institute of Statistics, Ulm University, Ulm, Germany.
Biometrics ; 74(3): 977-985, 2018 09.
Article em En | MEDLINE | ID: mdl-29451947
We suggest a wild bootstrap resampling technique for nonparametric inference on transition probabilities in a general time-inhomogeneous Markov multistate model. We first approximate the limiting distribution of the Nelson-Aalen estimator by repeatedly generating standard normal wild bootstrap variates, while the data is kept fixed. Next, a transformation using a functional delta method argument is applied. The approach is conceptually easier than direct resampling for the transition probabilities. It is used to investigate a non-standard time-to-event outcome, currently being alive without immunosuppressive treatment, with data from a recent study of prophylactic treatment in allogeneic transplanted leukemia patients. Due to non-monotonic outcome probabilities in time, neither standard survival nor competing risks techniques apply, which highlights the need for the present methodology. Finite sample performance of time-simultaneous confidence bands for the outcome probabilities is assessed in an extensive simulation study motivated by the clinical trial data. Example code is provided in the web-based Supplementary Materials.
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Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Assunto principal: Análise de Sobrevida / Probabilidade / Modelos Estatísticos / Estatísticas não Paramétricas Tipo de estudo: Risk_factors_studies Limite: Humans Idioma: En Ano de publicação: 2018 Tipo de documento: Article

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Assunto principal: Análise de Sobrevida / Probabilidade / Modelos Estatísticos / Estatísticas não Paramétricas Tipo de estudo: Risk_factors_studies Limite: Humans Idioma: En Ano de publicação: 2018 Tipo de documento: Article