Abstract/Details

Exploratory methods for censored data

Gentleman, Robert Clifford. 
 University of Washington ProQuest Dissertations Publishing,  1988. 0564493.

Abstract (summary)

This thesis examines several exploratory methods for data that is subject to right censoring. An exploratory method is one that examines the observed data for relationships that exist in it. This may be contrasted with methods that assume the data arises from a given model and check whether the model is correct. Graphical methods play an important role in exploratory analysis. Several new plots for censored data are developed and some revisions are suggested for existing plots.

A second way in which data can be explored is to model the data with a very flexible model. The methods of spline smoothing and local likelihood fit into this class of exploratory technique. Applications of the method of local likelihood to the full likelihood based on a proportional hazards model are given. Another flexible model is the estimation of conditional distribution functions. Estimating conditional distribution functions for all observed values of the covariate can provide useful information about how the response depends upon the covariate. The estimates of conditional distribution functions may then be used to estimate conditional means, variances, and a variety of other statistics. These methods are studied with regard to censored data.

Since the methods are exploratory and in some sense data-driven inference about the estimated covariate effects is not possible. However, it will sometimes be possible to use a method such as local likelihood to control for one covariate and allow for inference about another covariate. Such a method based on the permutation test is proposed for local likelihood estimation in the proportional hazards model.

Indexing (details)


Subject
Statistics
Classification
0463: Statistics
Identifier / keyword
Pure sciences
Title
Exploratory methods for censored data
Author
Gentleman, Robert Clifford
Number of pages
1
Degree date
1988
School code
0250
Source
DAI-B 49/11, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
Crowley, John
University/institution
University of Washington
University location
United States -- Washington
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
0564493
ProQuest document ID
303589316
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303589316