Articles via Databases
Articles via Journals
Online Catalog
E-books
Research & Information Literacy
Interlibrary loan
Theses & Dissertations
Collections
Policies
Services
About / Contact Us
Administration
Littman Architecture Library

The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title: Problems related to efficacy measurement and analyses
Author: Banerjee, Sibabrata
View Online: njit-etd2007-041
(x, 81 pages ~ 4.5 MB pdf)
Department: Department of Mathematical Sciences
Degree: Doctor of Philosophy
Program: Mathematical Sciences
Document Type: Dissertation
Advisory Committee: Dhar, Sunil Kumar (Committee chair)
Bhattacharjee, Manish Chandra (Committee member)
Kianifard, Farid (Committee member)
Sinharay, S. (Committee member)
Spencer, Thomas (Committee member)
Ghosh, Kaushik (Committee member)
Date: 2007-05
Keywords: Dependant kernal density estimate
Empirical area under ROC
UMVU for exponential P(Y>X)
Availability: Unrestricted
Abstract:

In clinical research it is very common to compare two treatments on the basis of an efficacy variable. More specifically, if X and Y denote the responses of patients on the two treatments A and B, respectively, the quantity P(Y>X) (which can be called the probabilistic index for the Effect Size), is of interest in clinical statistics. The objective of this study is to derive an efficacy measure that would compare two treatments more informatively and objectively compared to the earlier approaches. Kernel density estimation is a useful non-parametric method that has not been well utilized as an applied statistical tool, mainly due to its computational complexity. The current study shows that this method is robust even under correlation structures that arise during the computation of all possible differences. The kernel methods can be applied to the estimation of the ROC (Receiver Operating Characteristic) curve as well as to the implementation of nonparametric regression of ROC. The area under the ROC curve (AUC), which is exactly equal to the quantity P(Y>X), is also explored in this dissertation. The methodology used for this study is easy to generalize to other areas of application.


If you have any questions please contact the ETD Team, libetd@njit.edu.

 
Browse ETDs by Adviser
Browse ETDs by Author
Browse ETDs by Program
Browse ETDs by Title
Browse ETDs by Year
ETD Policies & Procedures
ETD FAQ's
ETD home

Request a Scan
NDLTD

NJIT's ETD project was given an ACRL/NJ Technology Innovation Honorable Mention Award in spring 2003