{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

[生物书合集].Advances.in.Clinical.TBiostatisti

[生物书合集].Advances.in.Clinical.TBiostatisti

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

View Full Document Right Arrow Icon
3. A loss function quantifying the total cost associated with the administration of any permissible dose level. The loss will be expressed through a function L defined on S ± Q , where S is the set of dose levels available for use in the trial. Hence, L ( x , N ) denotes the loss incurred by treating a patient at dose level x 2 S when N 2 Q obtains. Through an application of Bayes’ theorem the dose-toxicity model and prior distribution can be used to derive the posterior distribution of N given D k . Hence, we obtain a function C k defined on the parametric space Q such that m I C k ð u Þ d u is the conditional probability that N is contained in I p Q given the data available after k patients have been observed. We can then compute EL k ð x Þ ¼ Z H L ð x ; u Þ C k ð u Þ d u representing the posterior expected loss associated with dose x 2 S after observation of k patients. When a phase I trial is designed according to strict Bayesian decision-theoretic principles, dose escalation proceeds by
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern