_Homework_homework2 - Homework 2. Due Monday 1 May. 1. The...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Homework 2. Due Monday 1 May. 1. The classic Storer design says that you treat 3 patients at dose i . If none have dose-limiting toxicities (DLT), you escalate to dose i + 1. If 2 or 3 have DLT, you stop and declare dose i- 1 to be the maximum tolerated dose (MTD). If 1 has a DLT, you give 3 more patients dose i . If none of those have DLT, you escalate, but if 1 or more have DLT, you declare dose i- 1 to be the MTD. We worked out in class and you can find in Piantadosi the probability that you escalate to dose i + 1. (That is, escalate past dose i .) Consider the modified Storer design used in the trial UCD171, where we require six patients to have been tested before we will declare a dose to be safe. Recall we declare dose i not to be safe if we have 2 or more DLT observed in either 3 or 6 patients at that dose. The modification is that if we have not already seen 6 patients at dose i- 1, we would have to treat 3 more at that dose before declaring it to be safe. Derive a formula for the probability of stopping at dose i for this design, assuming that the probability of a DLT...
View Full Document

This note was uploaded on 12/30/2010 for the course BST 252 taught by Professor Tsodikov during the Winter '06 term at UC Davis.

Ask a homework question - tutors are online