2002
DOI: 10.1111/j.0006-341x.2002.00171.x
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Dose Finding Using the Biased Coin Up‐and‐Down Design and Isotonic Regression

Abstract: We are interested in finding a dose that has a prespecified toxicity rate in the target population. In this article, we investigate five estimators of the target dose to be used with the up-and-down biased coin design (BCD) introduced by Durham and Flournoy (1994, Statistical Decision Theory and Related Topics). These estimators are derived using maximum likelihood, weighted least squares, sample averages, and isotonic regression. A linearly interpolated isotonic regression estimate is shown to be simple to de… Show more

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Cited by 211 publications
(217 citation statements)
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“…The ED 90 and 95% CI were estimated using two non-parametric methods, the truncated Dixon and Mood method (simple average of Brownlee, Hodges and Rosenblatt) 21 and the isotonic regression method with the pooled-adjacent-violators algorithm (PAVA) approach with linear calibration. 22 The latter was used only to confirm our findings and supplement our results. Patient characteristics and secondary outcomes were presented as median (range) or n (%).…”
Section: A Sample Size and Statistical Analysissupporting
confidence: 59%
“…The ED 90 and 95% CI were estimated using two non-parametric methods, the truncated Dixon and Mood method (simple average of Brownlee, Hodges and Rosenblatt) 21 and the isotonic regression method with the pooled-adjacent-violators algorithm (PAVA) approach with linear calibration. 22 The latter was used only to confirm our findings and supplement our results. Patient characteristics and secondary outcomes were presented as median (range) or n (%).…”
Section: A Sample Size and Statistical Analysissupporting
confidence: 59%
“…Most studies with this approach in anesthesiology study 20-40 patients [21][22][23][24][25][26][27][28][29] .…”
Section: Discussionmentioning
confidence: 99%
“…The isotonic regression estimator for the MTD has been proposed by Leung and Wang (2001), Stylianou and Flournoy (2002), Ivanova et al (2003), and Ji et al (2007). In simulations by Ivanova et al, an isotonic regression estimator outperformed both an empirical estimator and a parametric maximum likelihood estimator for the MTD.…”
Section: Isotonic Regression and The Standard Designmentioning
confidence: 99%