Combining Multiple Diagnostic Tests with NonParametric Transformation Models for Classifying Censored Event Times
Recent advancement in technology promises to yield a multitude of tests for
disease diagnosis and prognosis. When there are multiple sources of information
available, it is often of interest to construct a composite score that can
provide better classification accuracy than an individual test. In this paper
we consider robust procedures for optimally combining tests when test results
are measured prior to disease onset and the disease status evolves over time.
The most commonly used approach for combining tests to detect subsequent
disease status is to fit a proportional hazards model (Cox, 1972) and use the
estimated risk score. However, simulation studies suggested that such a risk
score may have poor accuracy when the proportional hazards assumption fails. We
propose the use of a nonparametric transformation model (Han, 1987) as a
working model to derive an optimal composite score with theoretical
justification. We demonstrate that the proposed score is the optimal score when
the model holds and is optimal ``on average'' among linear scores even if the
model fails. Time-dependent sensitivity, specificity and ROC functions are used
to quantify the accuracy of the resulting composite score. We provide
consistent and asymptotically Gaussian estimators of these accuracy measures. A
simple model-free resampling procedure is proposed to obtain all consistent
variance estimators. We illustrate the new proposals with simulation studies
and an analysis of a breast cancer gene-expression dataset.
For more information, visit
NA
- What
- Meeting
- When
-
2005-09-28
from
12:00
to
13:00
- Where
- FHCRC Arnold Building M1-A307
- Name
- Helen Pagal
- Contact Email
- hpagal@scharp.org
- Contact Phone
- 206.667.6099