“Contributions to Statistics” mODa11 – Advances in Model-Oriented Design and Analysis, a cura di: J. Kunert, C.H. Muller, A.C. Atkinson, Springer (ISBN: 978-3-319-31264-4)

Risultato della ricerca: Contributo in libroChapter

Abstract

In recent years, there has been an increasing interest in developing dose finding methods incorporating both efficacy and toxicity outcomes. It is reasonable to assume that efficacy and toxicity are associated; therefore, we need to model their stochastic dependence. Copula functions are very useful tools to model different kinds of dependence with arbitrary marginal distributions. We consider a binary efficacy-toxicity response with logit marginal distributions. Since the dose which maximizes the probability of efficacy without toxicity (P-optimal dose) changes depending on different copula functions, we propose a criterion which is useful for choosing between the rival copula models but also protects patients against doses that are far away from the P-optimal dose. The performance of this compromise criterion (called PKL) is illustrated for different choices of the parameter values.
Lingua originaleEnglish
Titolo della pubblicazione ospitemODa11 - Advances in Model-Oriented Design and Analysis
EditorJ. Kunert, C.H. Muller, A.C. Atkinson
Pagine79-86
Numero di pagine8
Stato di pubblicazionePubblicato - 2016

Serie di pubblicazioni

NomeCONTRIBUTIONS TO STATISTICS

Keywords

  • Phase I-II clinical trial
  • bivariate logistic model

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