Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian Checking of the Second Levels of Hierarchical Models   Hierarchical models are increasingly used in many applications. Along with
this increased use comes a desire to investigate whether the model is
compatible with the observed data. Bayesian methods are well suited to
eliminate the many (nuisance) parameters in these complicated models; in this
paper we investigate Bayesian methods for model checking. Since we contemplate
model checking as a preliminary, exploratory analysis, we concentrate on
objective Bayesian methods in which careful specification of an informative
prior distribution is avoided. Numerous examples are given and different
proposals are investigated and critically compared.

18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math