Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A spatially varying change points model for monitoring glaucoma
  progression using visual field data   Glaucoma disease progression, as measured by visual field (VF) data, is often
defined by periods of relative stability followed by an abrupt decrease in
visual ability at some point in time. Determining the transition point of the
disease trajectory to a more severe state is important clinically for disease
management and for avoiding irreversible vision loss. Based on this, we present
a unified statistical modeling framework that permits prediction of the timing
and spatial location of future vision loss and informs clinical decisions
regarding disease progression. The developed method incorporates anatomical
information to create a biologically plausible data-generating model. We
accomplish this by introducing a spatially varying coefficients model that
includes spatially varying change points to detect structural shifts in both
the mean and variance process of VF data across both space and time. The VF
location-specific change point represents the underlying, and potentially
censored, timing of true change in disease trajectory while a multivariate
spatial boundary detection structure is introduced that accounts for the
complex spatial connectivity of the VF and optic disc. We show that our method
improves estimation and prediction of multiple aspects of disease management in
comparison to existing methods through simulation and real data application.
The R package spCP implements the new methodology.

26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph