{"type":"ScholarlyArticle","title":"Parameter Identification in a Class of Linear Structural Equation Models","authors":[{"name":"Jin Tian","slug":"jin-tian","given":"Jin","family":"Tian","affiliation":"Department of Computer Science Iowa State University Ames , IA 50011"}],"abstract":"Linear causal models known as structural equation models (SEMs) are widely used for data analysis in the social sciences, economics, and artificial intelligence, in which random variables are assumed to be continuous and normally distributed. This paper deals with one fundamental problem in the applications of SEMs -- parameter identification. The paper uses the graphical models approach and provides a procedure for solving the identification problem in a special class of SEMs.Jin Tian","doi":null,"url":"https://ijcai.org/proceedings/2009/325","pdf":"https://ijcai.org/proceedings/2009/0325.pdf","markdown":"https://ijcai.org/proceedings/2009/325.md","bibtex":"https://ijcai.org/proceedings/2009/bibtex/325","volume":{"slug":"2009","title":"Proceedings of the Twenty-First International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2009","url":"https://ijcai.org/proceedings/2009/","year":2009,"location":"Pasadena, California, USA","dates":"","editors":"Hiroaki Kitano","isbn":"","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":null,"track":"","number":325,"pages":{"first":1970,"last":1974},"keywords":[],"videos":[],"references":[{"position":1,"raw":"[Bekker et al., 1994] P.A. Bekker, A. Merckens, and T.J. Wansbeek. Identification, equivalent models, and com- puter algebra. Academic, 1994.","title":"Identification, equivalent models, and computer algebra","authors":"P A Bekker, A Merckens, T J Wansbeek","year":"1994","venue":null,"doi":null,"url":null,"internal_url":null},{"position":2,"raw":"[Bollen, 1989] K.A. Bollen. Structural Equations with La- tent Variables. John Wiley, New York, 1989.","title":"Structural Equations with Latent Variables","authors":"K A Bollen","year":"1989","venue":null,"doi":null,"url":null,"internal_url":null},{"position":3,"raw":"[Bowden and Turkington, 1984] R.J. Bowden and D.A. Turkington. Instrumental Variables. Cambridge Univer- sity Press, Cambridge, England, 1984.","title":"Instrumental Variables","authors":"R J Bowden, D A Turkington","year":"1984","venue":null,"doi":null,"url":null,"internal_url":null},{"position":4,"raw":"[Brito and Pearl, 2002a] C. Brito and J. Pearl. Generalized instrumental variables. In Proceedings of the UAI, 2002.","title":"Generalized instrumental variables","authors":"Pearl ; Brito, C Brito, J Pearl","year":"2002","venue":"Proceedings of the UAI","doi":null,"url":null,"internal_url":null},{"position":5,"raw":"[Brito and Pearl, 2002b] C. Brito and J. Pearl. A graphical criterion for the identification of causal effects in linear models. In Proceedings of the AAAI, 2002.","title":"A graphical criterion for the identification of causal effects in linear models","authors":"Pearl ; Brito, C Brito, J Pearl","year":"2002","venue":"Proceedings of the AAAI","doi":null,"url":null,"internal_url":null},{"position":6,"raw":"[Brito and Pearl, 2002c] C. Brito and J. Pearl. A new identi- fication condition for recursive models with correlated er- rors. Structural Equation Modelling, 9(4):459-474, 2002.","title":"A new identification condition for recursive models with correlated errors","authors":"Pearl ; Brito, C Brito, J Pearl","year":"2002","venue":"Structural Equation Modelling","doi":null,"url":null,"internal_url":null},{"position":7,"raw":"[Brito and Pearl, 2006] C. Brito and J. Pearl. Graphical con- dition for identification in recursive sem. In Proceedings of the UAI, 2006.","title":"Graphical condition for identification in recursive sem","authors":"C Brito, J Pearl","year":"2006","venue":"Proceedings of the UAI","doi":null,"url":null,"internal_url":null},{"position":8,"raw":"[Cormen et al., 1990] Thomas H. Cormen, Charle E. Leiser- son, and Ronald L. Rivest. Introduction to Algorithms. The MIT Press, 1990.","title":"Introduction to Algorithms","authors":"H Thomas, Charle E Cormen, Ronald L Leiserson, Rivest","year":"1990","venue":null,"doi":null,"url":null,"internal_url":null},{"position":9,"raw":"[Even, 1979] S. Even. Graph Algorithms. Computer Science Press, Rockville, Md, 1979.","title":"Graph Algorithms","authors":"S Even","year":"1979","venue":null,"doi":null,"url":null,"internal_url":null},{"position":10,"raw":"[Fisher, 1966] F.M. Fisher. The Identification Problem in Econometrics. McGraw-Hill, 1966.","title":"The Identification Problem in Econometrics","authors":"F M Fisher","year":"1966","venue":null,"doi":null,"url":null,"internal_url":null},{"position":11,"raw":"[Kenny et al., 1998] D.A. Kenny, D.A. Kashy, and N. Bol- ger. Data analysis in social psychology. In D. Gilbert, S. Fiske, and G. Lindzey, editors, The Handbook of Social Psychology, pages 233-265.","title":"Data analysis in social psychology","authors":"D A Kenny, D A Kashy, N Bolger","year":null,"venue":"The Handbook of Social Psychology","doi":null,"url":null,"internal_url":null},{"position":12,"raw":"[Pearl, 1998] J. Pearl. Graphs, causality, and structural equa- tion models. Socioligical Methods and Research, 27:226- 284, 1998.","title":"Graphs, causality, and structural equation models","authors":"J Pearl","year":"1998","venue":"Socioligical Methods and Research","doi":null,"url":null,"internal_url":null},{"position":13,"raw":"[Pearl, 2000] J. Pearl. Causality: Models, Reasoning, and Inference. Cambridge University Press, NY, 2000.","title":"Causality: Models, Reasoning, and Inference","authors":"J Pearl","year":"2000","venue":null,"doi":null,"url":null,"internal_url":null},{"position":14,"raw":"[Rigdon, 1995] E.E. Rigdon. A necessary and suficient iden- tification rule for structural models estimated in practice. Multivariate Behavioral Research, 30:359-383, 1995.","title":"A necessary and suficient identification rule for structural models estimated in practice","authors":"E E Rigdon","year":"1995","venue":"Multivariate Behavioral Research","doi":null,"url":null,"internal_url":null},{"position":15,"raw":"[Spirtes et al., 1998] P. Spirtes, T. Richardson, C. Meek, R. Scheines, and C. Glymour. Using path diagrams as a structural equation modeling tool. Socioligical Methods and Research, 27:182-225, 1998.","title":"Using path diagrams as a structural equation modeling tool","authors":"P Spirtes, T Richardson, C Meek, R Scheines, C Glymour","year":"1998","venue":"Socioligical Methods and Research","doi":null,"url":null,"internal_url":null},{"position":16,"raw":"[Spirtes et al., 2001] P. Spirtes, C. Glymour, and R. Scheines. Causation, Prediction, and Search (2nd Edition). MIT Press, Cambridge, MA, 2001.","title":"Causation, Prediction, and Search","authors":"P Spirtes, C Glymour, R Scheines","year":"2001","venue":null,"doi":null,"url":null,"internal_url":null},{"position":17,"raw":"[Tian, 2004] J. Tian. Identifying linear causal effects. In Pro- ceedings of the AAAI, 2004.","title":"Identifying linear causal effects","authors":"J Tian","year":"2004","venue":"Proceedings of the AAAI","doi":null,"url":null,"internal_url":null},{"position":18,"raw":"[Tian, 2005] J. Tian. Identifying direct causal effects in lin- ear models. In Proceedings of the AAAI, 2005.","title":"Identifying direct causal effects in linear models","authors":"J Tian","year":"2005","venue":"Proceedings of the AAAI","doi":null,"url":null,"internal_url":null},{"position":19,"raw":"[Tian, 2007a] J. Tian. A criterion for parameter identification in structural equation models. Proceedings of UAI, 2007.","title":"A criterion for parameter identification in structural equation models","authors":"] J Tian ; A, Tian","year":"2007","venue":"Proceedings of UAI","doi":null,"url":null,"internal_url":null},{"position":20,"raw":"[Tian, 2007b] J. Tian. On the identification of a class of lin- ear models. In Proceedings of the AAAI, 2007.","title":"On the identification of a class of linear models","authors":"] J Tian ; B, Tian","year":"2007","venue":"Proceedings of the AAAI","doi":null,"url":null,"internal_url":null},{"position":21,"raw":"[Wright, 1934] S. Wright. The method of path coefficients. Ann. Math. Statist., 5:161-215, 1934.","title":"The method of path coefficients","authors":"S Wright","year":"1934","venue":"Ann. Math. Statist","doi":null,"url":null,"internal_url":null}],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}