Causal Inference in the Presence of Latent Variables and Selection Bias

We show that there is a general, informative and reliable procedure for discovering causal relations when, for all the investigator knows, both latent variables and selection bias may be at work. Given information about conditional independence and dependence relations between measured variables, even when latent variables and selection bias may be present, there are sufficient conditions for reliably concluding that there is a causal path from one variable to another, and sufficient conditions for reliably concluding when no such causal path exists.

[1]  S. Wright The Method of Path Coefficients , 1934 .

[2]  Roy J. Epstein,et al.  A History of Econometrics , 1987 .

[3]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems , 1988 .

[4]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[5]  P. Spirtes,et al.  Causality From Probability , 1989 .

[6]  Gregory F. Cooper,et al.  The ALARM Monitoring System: A Case Study with two Probabilistic Inference Techniques for Belief Networks , 1989, AIME.

[7]  Judea Pearl,et al.  Equivalence and Synthesis of Causal Models , 1990, UAI.

[8]  Steffen L. Lauritzen,et al.  Independence properties of directed markov fields , 1990, Networks.

[9]  P. Spirtes,et al.  An Algorithm for Fast Recovery of Sparse Causal Graphs , 1991 .

[10]  Peter Spirtes,et al.  Equivalence of causal models with latent variables , 1992 .

[11]  P. Spirtes,et al.  Causation, prediction, and search , 1993 .

[12]  Moninder Singh,et al.  An Algorithm for the Construction of Bayesian Network Structures from Data , 1993, UAI.

[13]  David Heckerman,et al.  Learning Bayesian Networks: Search Methods and Experimental Results , 1995 .

[14]  David Maxwell Chickering,et al.  Learning Bayesian networks: The combination of knowledge and statistical data , 1995, Mach. Learn..

[15]  Christopher Meek,et al.  Strong completeness and faithfulness in Bayesian networks , 1995, UAI.

[16]  Peter Spirtes,et al.  Building causal graphs from statistical data in the presence of latent variables , 1995 .

[17]  J. Pearl Causal diagrams for empirical research , 1995 .

[18]  Christopher Meek,et al.  Learning Bayesian Networks with Discrete Variables from Data , 1995, KDD.

[19]  Thomas S. Richardson,et al.  A Discovery Algorithm for Directed Cyclic Graphs , 1996, UAI.

[20]  Richard Scheines,et al.  Using D-Separation to Calculate Zero Partial Correlations in Linear Models with Correlated Errors , 1996 .