Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Propensity score weighting for causal inference with multi-stage
  clustered data   Propensity score weighting is a tool for causal inference to adjust for
measured confounders. Survey data are often collected under complex sampling
designs such as multistage cluster sampling, which presents challenges for
propensity score modeling and estimation. In addition, for clustered data,
there may also be unobserved cluster effects related to both the treatment and
the outcome. When such unmeasured confounders exist and are omitted in the
propensity score model, the subsequent propensity score adjustment will be
biased. We propose a calibrated propensity score weighting adjustment for
multi-stage clustered data in the presence of unmeasured cluster-level
confounders. The propensity score is calibrated to balance design-weighted
covariate distributions and cluster effects between treatment groups. In
particular, we consider a growing number of calibration constraints increasing
with the number of clusters, which is necessary for removing asymptotic bias
that is associated with the unobserved cluster-level confounders. We show that
our estimator is robust in the sense that the estimator is consistent without
correct specification of the propensity score model. We extend the results to
the multiple treatments case. In simulation studies we show that the proposed
estimator is superior to other competitors. We estimate the effect of School
Body Mass Index Screening on prevalence of overweight and obesity for
elementary schools in Pennsylvania.

10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th