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.
Deldossi, L., Osmetti, S. A., Tommasi, C., “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), in Kunert, J., Muller, C., Atkinson, A. (ed.), mODa11 - Advances in Model-Oriented Design and Analysis, Springer, Geneva, Switzerland 2016: <<CONTRIBUTIONS TO STATISTICS>>, 79- 86 [http://hdl.handle.net/10807/86455]
Autori: | ||
Titolo: | “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) | |
Data di pubblicazione: | 2016 | |
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: | Inglese | |
Titolo del libro: | mODa11 - Advances in Model-Oriented Design and Analysis | |
Editore: | Springer | |
ISBN: | 9783319312644 | |
Serie: | ||
Citazione: | Deldossi, L., Osmetti, S. A., Tommasi, C., “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), in Kunert, J., Muller, C., Atkinson, A. (ed.), mODa11 - Advances in Model-Oriented Design and Analysis, Springer, Geneva, Switzerland 2016: <<CONTRIBUTIONS TO STATISTICS>>, 79- 86 [http://hdl.handle.net/10807/86455] | |
Appare nelle tipologie: | In libro con curatela: Capitolo o saggio; Prefazione/Postfazione; Breve introduzione; Schede di catalogo, repertorio o corpus |
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