title: Reasoning about causal relationships: Inferences on causal networks.
abstract: Over the last decade, a normative framework for making causal inferences, Bayesian Probabilistic Causal Networks, has come to dominate psychological studies of inference based on causal relationships. The following causal networks-[X→Y→Z, X←Y→Z, X→Y←Z]-supply answers for questions like, "Suppose both X and Y occur, what is the probability Z occurs?" or "Suppose you intervene and make Y occur, what is the probability Z occurs?" In this review, we provide a tutorial for how normatively to calculate these inferences. Then, we systematically detail the results of behavioral studies comparing human qualitative and quantitative judgments to the normative calculations for many network structures and for several types of inferences on those networks. Overall, when the normative calculations imply that an inference should increase, judgments usually go up; when calculations imply a decrease, judgments usually go down. However, 2 systematic deviations appear. First, people's inferences violate the Markov assumption. For example, when inferring Z from the structure X→Y→Z, people think that X is relevant even when Y completely mediates the relationship between X and Z. Second, even when people's inferences are directionally consistent with the normative calculations, they are often not as sensitive to the parameters and the structure of the network as they should be. We conclude with a discussion of productive directions for future research.
authors.affiliation: Section of Hospital Medicine, Department of Medicine, University of Chicago.
authors.forename: Benjamin Margolin
authors.initials: BM
authors.lastname: Rottman
authors.affiliation: University of Chicago Booth School of Business.
authors.forename: Reid
authors.initials: R
authors.lastname: Hastie
mesh_terms: D006801:Humans; D008128:Logic; D008960:Models, Psychological; D013850:Thinking / Q000502:physiology*
references.citation: J Exp Psychol Learn Mem Cogn. 2006 May;32(3):451-60
references.pmid: 16719658
references.citation: Psychol Bull. 2011 Mar;137(2):195-210
references.pmid: 21142348
references.citation: J Exp Psychol Learn Mem Cogn. 2004 Jul;30(4):856-76
references.pmid: 15238029
references.citation: Mem Cognit. 1995 Sep;23(5):646-58
references.pmid: 7476249
references.citation: J Exp Psychol Learn Mem Cogn. 2003 Jul;29(4):680-93
references.pmid: 12924867
references.citation: Cogn Psychol. 2007 Feb;54(1):62-97
references.pmid: 16839539
references.citation: Organ Behav Hum Perform. 1982 Apr;29(2):270-8
references.pmid: 10254929
references.citation: Am Psychol. 2003 Sep;58(9):697-720
references.pmid: 14584987
references.citation: Cogn Sci. 2010 Mar;34(2):175-221
references.pmid: 21564210
references.citation: Q J Exp Psychol (Hove). 2007 Mar;60(3):330-55
references.pmid: 17366304
references.citation: Mem Cognit. 1994 Nov;22(6):742-58
references.pmid: 7808283
references.citation: Cognition. 2001 Nov;82(1):27-58
references.pmid: 11672704
references.citation: J Exp Psychol Learn Mem Cogn. 2010 Sep;36(5):1171-206
references.pmid: 20804292
references.citation: Cognition. 2011 Jun;119(3):403-18
references.pmid: 21392739
references.citation: Psychol Rev. 2006 Oct;113(4):677-99
references.pmid: 17014300
references.citation: Mem Cognit. 2005 Oct;33(7):1315-23
references.pmid: 16532862
references.citation: Behav Brain Sci. 2011 Aug;34(4):169-88; disuccsion 188-231
references.pmid: 21864419
references.citation: Psychon Bull Rev. 2008 Feb;15(1):75-80
references.pmid: 18605483
references.citation: J Exp Psychol Learn Mem Cogn. 2013 Sep;39(5):1327-43
references.pmid: 23565785
references.citation: Mem Cognit. 2003 Jun;31(4):581-95
references.pmid: 12872874
references.citation: Cogn Psychol. 2005 May;50(3):264-314
references.pmid: 15826612
references.citation: J Exp Psychol Learn Mem Cogn. 2009 May;35(3):678-93
references.pmid: 19379043
references.citation: Q J Exp Psychol (Hove). 2012;65(7):1361-75
references.pmid: 22494344
references.citation: Psychol Rev. 2004 Jan;111(1):3-32
references.pmid: 14756583
references.citation: Mem Cognit. 2009 Sep;37(6):744-58
references.pmid: 19679855
references.citation: Psychol Bull. 2008 Mar;134(2):207-22
references.pmid: 18298269
references.citation: Cogn Sci. 2005 Jan 2;29(1):5-39
references.pmid: 21702766
references.citation: J Exp Psychol. 1953 Aug;46(2):81-6
references.pmid: 13084849
references.citation: Cogn Sci. 2007 Sep 10;31(5):765-814
references.pmid: 21635317
references.citation: J Exp Psychol Gen. 2001 Sep;130(3):323-60
references.pmid: 11561914
references.citation: J Exp Psychol Learn Mem Cogn. 2000 Jul;26(4):883-99
references.pmid: 10946369
references.citation: Science. 2006 Feb 17;311(5763):1020-2
references.pmid: 16484500
references.citation: J Exp Psychol Anim Behav Process. 2009 Apr;35(2):153-68
references.pmid: 19364225
references.citation: J Exp Psychol Gen. 2009 Feb;138(1):22-38
references.pmid: 19203168
references.citation: Mem Cognit. 1991 May;19(3):274-82
references.pmid: 1861613
references.citation: Trends Cogn Sci. 2006 Sep;10(9):407-12
references.pmid: 16899398
references.citation: Cognition. 1998 Sep;68(3):B93-101
references.pmid: 9852669
references.citation: Psychol Rev. 2009 Oct;116(4):661-716
references.pmid: 19839681
references.citation: Mem Cognit. 2002 Sep;30(6):908-20
references.pmid: 12450094
references.citation: Cogn Psychol. 2005 Dec;51(4):334-84
references.pmid: 16168981
references.citation: Annu Rev Psychol. 2011;62:135-63
references.pmid: 21126179
references.citation: J Exp Psychol Learn Mem Cogn. 2013 Jan;39(1):33-50
references.pmid: 22686840
references.citation: Psychol Rev. 2007 Jul;114(3):657-77
references.pmid: 17638500
references.citation: Cogn Psychol. 2012 Feb;64(1-2):93-125
references.pmid: 22155679
references.citation: J Exp Psychol Gen. 2011 May;140(2):168-85
references.pmid: 21219081
references.citation: J Exp Psychol Learn Mem Cogn. 2003 Mar;29(2):321-35
references.pmid: 12696819
references.citation: J Exp Psychol Learn Mem Cogn. 2005 Mar;31(2):216-27
references.pmid: 15755240
references.citation: Psychol Rev. 2008 Oct;115(4):955-84
references.pmid: 18954210
references.citation: Cogn Sci. 2007 Mar 4;31(2):233-56
references.pmid: 21635296
references.citation: Exp Psychol. 2008;55(1):9-22
references.pmid: 18271349
references.citation: Psychol Monogr. 1965;79:SUPPL 1:1-17
references.pmid: 14300511
references.citation: J Exp Psychol Gen. 2007 Aug;136(3):430-50
references.pmid: 17696692
references.citation: Psychol Rev. 2004 Apr;111(2):455-85
references.pmid: 15065918
references.citation: Mem Cognit. 2009 Apr;37(3):249-64
references.pmid: 19246341