Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On marginal and conditional parameters in logistic regression models   A fundamental research question is how much a variation in a covariate
influences a binary response variable in a logistic regression model, both
directly or through mediators. We derive the exact formula linking the
parameters of marginal and conditional regression models with binary mediators
when no conditional independence assumptions can be made. The formula has the
appealing property of being the sum of terms that vanish whenever parameters of
the conditional models vanish, thereby recovering well-known results as
particular cases. It also permits to quantify the distortion induced by
omission of some relevant covariates, opening the way to sensitivity analysis.
Also in this case, as the parameters of the conditional models are multiplied
by terms that are always positive or bounded, the formula may be used to
construct reasonable bounds on the parameters of interest. We assume that,
conditionally on a set of covariates, the data-generating process can be
represented by a Directed Acyclic Graph. We also show how the results here
presented lead to the extension of path analysis to a system of binary random
variables.

28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
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
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn