Inferring causal relations by modelling structures

Authors

  • Michel Mouchart Université Catholique de Louvain
  • Federica Russo University of Kent at Canterbury
  • Guillaume Wunsch Université Catholique de Louvain

DOI:

https://doi.org/10.6092/issn.1973-2201/3596

Abstract

This paper provides an overview of structural modelling in its close relation to explanation and causation. It stems from previous works by the authors and stresses the role and importance of the notions of invariance, recursive decomposition, exogeneity and background knowledge. It closes with some considerations about the importance of the structural approach for practicing scientists.

References

O. BARNDORFF-NIELSEN, (1978), Information and Exponential Families in Statistical Theory, New York: John Wiley.

A. BRADFORD HILL, (1966), Principles of Medical Statistics, “The Lancet Limited”, London.

R. BEAGLEHOLE, R. BONITA, T. KJELLSTRÖM, (1994), Eléments d’Épidémiologie, World Health Organization, Geneva.

W. BECHTEL, A. ABRAHAMSEN, (2005), Explanation: a mechanist alternative, “Studies in the History and Philosophy of the Biological and Biomedical Sciences”, 36, 421-441.

N. CARTWRIGHT, (2007), Hunting causes and using them: approaches in philosophy and economics. Cambridge University Press, Cambridge.

L. DARDEN, C. CRAVER, (2002), Strategies in the interfield discovery of the mechanism of protein synthesis, “Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences”, 33(1), 1-28.

R. F. ENGLE, D. F. HENDRY, J. F. RICHARD, (1983), Exogeneity, “Econometrica”, 51(2), 277-304.

D. J. FENNELL, (2011), The structural theory of causation. In P. McKay Illari, F. Russo, J. Williamson (eds), “Causality in the Sciences”, Oxford University Press.

J. P. FLORENS, M. MOUCHART, (1980), Initial and sequential reduction of Bayesian experiments, CORE Discussion Paper 8015, Université catholique de Louvain, Louvain-la-Neuve.

J. P. FLORENS, M. MOUCHART, (1985), Conditioning in Dynamic models, “Journal of Times Series Analysis”, 53 (1), 15-35.

J. P. FLORENS, M. MOUCHART, J. M. ROLIN, (1980), Réduction dans les expériences bayé - siennes séquentielles, “Cahiers du Centre d’Études de Recherche Opérationnelle”, 22(3-4), 353-362.

J. P. FLORENS, M. MOUCHART, J. M. ROLIN, (1990), Elements of Bayesian Statistics, New York: Marcel Dekker.

P. W. HOLLAND, (1986), Statistics and causal inference, “Journal of the American Statistical Association”, 81(396), 945-960.

P. W. HOLLAND, (2001), The false linking of race and causality: lessons from standardized testing, “Race & Society”, 4, 219-233.

K. HOOVER, (2001), Causality in macroeconomics, Cambridge: Cambridge University Press.

K. HOOVER, (2011), Counterfactuals and Causal Structure. In P. McKay Illari, F. Russo, J. Williamson

(eds), “Causality in the Sciences”, Oxford University Press.

T. C. KOOPMANS, (1950), When is an equation system complete for statistical purposes?, in Koopmans T.C. (ed.), “Statistical Inference in Dynamic Economic Models”, New-York: John Wiley, 393-490.

B. LAPLANTE, C. FLICK, (2010), Le mariage, l’union de fait et la santé des conjoints au Québec et en Ontario, “Cahiers Québécois de Démographie”, 39(1), 1-26.

P. MACHAMER, (2004), Activities and Causation: The Metaphysics and Epistemology of Mechanisms, “International Studies in the Philosophy of Science”, 18(1), 27-39.

P. MACHAMER, L. DARDEN, C. F. CRAVER, (2000), Thinking about Mechanisms, “Philosophy of Science”, 67, 1-25.

M. MOUCHART, A. OULHAJ, (2000), On Identification in Conditional Models, Discussion Paper DP0015, Institut de statistique, Université catholique de Louvain, Louvain-la-Neuve.

M. MOUCHART, F. RUSSO, (2011), Causal explanation: mechanisms and recursive decomposition. In P. McKay Illari, F. Russo, J. Williamson (eds), “Causality in the sciences”, Oxford University Press.

M. MOUCHART, F. RUSSO, G. WUNSCH, (2009), Structural modelling, exogeneity and causality. In H. Engelhardt, H-P Kohler, A. Prskawetz (Ed.), “Causal analysis in population studies: concepts, methods, applications”, Dordrecht: Springer, 59-82.

A. OULHAJ, M. MOUCHART, (2003), The Role of the Exogenous Randomness in the Identification of Conditional Models, “Metron”, LXI(2), 267-283.

J. PEARL, (2000), Causality. Models, Reasoning, and Inference, Cambridge University Press, Cambridge.

J. PEARL, (2011), The structural theory of causation. In P. McKay Illari, F. Russo, J. Williamson (eds), “Causality in the Sciences”. Oxford University Press.

K. POPPER, (1959), The logic of scientific discovery, London: Hutchinson.

K. J. ROTHMAN, S. GREENLAND, (1998), Modern Epidemiology, 2nd edition, Lippincott-Raven, Philadelphia.

D. RUBIN, (1974), Estimating causal effects of treatments in randomized and non randomized studies, “Journal of Educational Psychology”, 66(5), 688-701.

F. RUSSO, (2009), Causality and Causal Modelling in the Social Sciences: Measuring Variations, Methodos Series Vol.5, Springer, New York.

F. RUSSO, (2011a), Correlational data, causal hypotheses, and validity, “Journal for General Philosophy of Science”, In press.

F. RUSSO, (2012), On empirical generalisations, in D. Dieks, W. J. Gonzalez, S. Hartmann, M. Stoeltzner, M. Weber (eds), “Probabilities, Laws, and Structures”, Springer, Berlin.

F. RUSSO, (2011b), Explaining causal modelling. Or, what a causal model ought to explain, in D’Agostino, M., Giorello G., Laudisa F., Pievani T., Sinigaglia, C. (eds), “New Essays in Logic and Philosophy of Science”, College Publications, London.

F. RUSSO, G. WUNSCH, M. MOUCHART, (2011), Inferring Causality through Counterfactuals in Observational Studies, “Discussion Paper” 1029, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA), Université catholique de Louvain, Louvain-la-Neuve.

H. SIMON, (1953), Causal ordering and identifiability. In W. C. Hood, T. C. Koopmans (Ed.), “Studies in econometric method” (pp. 49-74). New York: Wiley.

H. SIMON, (1954), Spurious correlation: a causal interpretation, “Journal of the American Statistical Association”, 49(267), 467-479.

M. E. SOBEL, (2000), Causal inference in the social sciences, “Journal of the American Statistical Association”, 95(450), 647-651.

P. SPIRTES, C. GLYMOUR, R. SCHEINES, (2000), Causation, Prediction and Search, second edition, Cambridge (Mass.): The MIT Press.

J. H. STOCK, M. W. WATSON, (2003), Introduction to Econometrics, Addison-Wesley, Boston.

J. WOODWARD, (2003), Making things happen: a theory of causal explanation, Oxford University Press, Oxford.

G. WUNSCH, (2007), Confounding and control, “Demographic Research”, 16:15-35.

G. WUNSCH, F. RUSSO, M. MOUCHART, (2010), Do we necessarily need longitudinal data to infer causal relations?, “Bulletin de Méthodologie Sociologique”, 106(1), 1-14.

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Published

2010-12-31

How to Cite

Mouchart, M., Russo, F., & Wunsch, G. (2010). Inferring causal relations by modelling structures. Statistica, 70(4), 411–432. https://doi.org/10.6092/issn.1973-2201/3596

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