Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Bayesian framework for case-cohort Cox regression: application to
  dietary epidemiology   The case-cohort study design bypasses resource constraints by collecting
certain expensive covariates for only a small subset of the full cohort.
Weighted Cox regression is the most widely used approach for analysing
case-cohort data within the Cox model, but is inefficient. Alternative
approaches based on multiple imputation and nonparametric maximum likelihood
suffer from incompatibility and computational issues respectively. We introduce
a novel Bayesian framework for case-cohort Cox regression that avoids the
aforementioned problems. Users can include auxiliary variables to help predict
the unmeasured expensive covariates with a prediction model of their choice,
while the models for the nuisance parameters are nonparametrically specified
and integrated out. Posterior sampling can be carried out using procedures
based on the pseudo-marginal MCMC algorithm. The method scales effectively to
large, complex datasets, as demonstrated in our application: investigating the
associations between saturated fatty acids and type 2 diabetes using the
EPIC-Norfolk study. As part of our analysis, we also develop a new approach for
handling compositional data in the Cox model, leading to more reliable and
interpretable results compared to previous studies. The performance of our
method is illustrated with extensive simulations. The code used to produce the
results in this paper can be found at https://github.com/andrewyiu/bayes_cc .

27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex