Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal experimental designs for treatment contrasts in heteroscedastic
  models with covariates   In clinical trials, the response of a given subject often depends on the
selected treatment as well as on some covariates. We study optimal approximate
designs of experiments in the models with treatment and covariate effects. We
allow for the variances of the responses to depend on the chosen treatments,
which introduces heteroscedasticity into the models. For estimating systems of
treatment contrasts and linear functions of the covariates, we extend known
results on D-optimality of product designs by providing product designs that
are optimal with respect to general eigenvalue-based criteria. In particular,
A- and E-optimal product designs are obtained. We then formulate a method based
on linear programming for constructing optimal designs with smaller supports
from the optimal product designs. The sparser designs can be more easily
converted to practically applicable exact designs. The provided results and the
proposed sparsification method are demonstrated on some examples.

4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol