create_R_matrix

graph

Vector of observed variable vertices from the graph

obsvars

Response function, as returned by <a rd-options="" href="/link/create_response_function?package=causaloptim&version=0.9.1" data-mini-rdoc="causaloptim::create_response_function">create_response_function</a>

respvars

p.vals

parameters

List with q matrices, as returned by <a rd-options="" href="/link/create_q_matrix?package=causaloptim&version=0.9.1" data-mini-rdoc="causaloptim::create_q_matrix">create_q_matrix</a>

q.list

variables

Matrix and text representation of constraints on observed probabilities

When causal quantities are not identifiable from the observed data, it still may be possible
to bound these quantities using the observed data. We outline a class of problems for which the
derivation of tight bounds is always a linear programming problem and can therefore, at least
theoretically, be solved using a symbolic linear optimizer. We extend and generalize the
approach of Balke and Pearl (1994) <doi:10.1016/B978-1-55860-332-5.50011-0> and we provide
a user friendly graphical interface for setting up such problems via directed acyclic
graphs (DAG), which only allow for problems within this class to be depicted. The user can
then define linear constraints to further refine their assumptions to meet their specific
problem, and then specify a causal query using a text interface. The program converts this
user defined DAG, query, and constraints, and returns tight bounds. The bounds can be
converted to R functions to evaluate them for specific datasets, and to latex code for
publication. The methods and proofs of tightness and validity of the bounds are described in
a preprint by Sachs, Gabriel, and Sj<c3><b6>lander (2021)
<https://sachsmc.github.io/causaloptim/articles/CausalBoundsMethods.pdf>.

Michael Sachs

causaloptim

An Interface to Specify Causal Graphs and Compute Bounds on
Causal Effects

Michael C Sachs

Erin E Gabriel

Arvid Sj<c3><b6>lander

Gustav Jonzon

Alexander A Balke

Colorado Reed

create_R_matrix function

Response function, as returned by <a rd-options='' href='create_response_function'>create_response_function</a>

List with q matrices, as returned by <a rd-options='' href='create_q_matrix'>create_q_matrix</a>

create_R_matrix: Create constraint matrix

Description

Usage

Arguments

Value