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EnglishIn 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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