×
Aalen, Odd O.; Frigessi, Arnold

What can statistics contribute to a causal understanding? (English) Zbl 1142.62001

Scand. J. Stat. 34, No. 1, 155-168 (2007).
Philosophical and methodological problems of causality analysis in probability and statistics are discussed in a broad manner. Different statistical concepts of causality, such as Granger causality for time series and Schweder causality for Markov processes, are discussed. The role of time in the causality models is emphasized. The authors describe their own model of causality which is based on the Doob-Meyer decomposition for stochastic processes. Applications to medical and genetic studies are discussed.
Reviewer: R. E. Maiboroda (Kyïv)

Cited in 9 Documents

MSC:

62A01 Foundations and philosophical topics in statistics
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
60G99 Stochastic processes
62P10 Applications of statistics to biology and medical sciences; meta analysis

Keywords:

Schweder causality; Granger causality; Doob-Meyer decomposition
Cite Review PDF
Full Text: DOI

References:

[1] Aalen O. O., Ann. Statist. 6 pp 701– (1978)
[2] Aalen O. O., Scand. Actuar. J. pp 177– (1987) · Zbl 0691.62087 · doi:10.1080/03461238.1987.10413826
[3] Aalen O. O., Scand. J. Statist. 7 pp 161– (1980)
[4] Andersen P. K., Statistical models based on counting processes (1993) · Zbl 0769.62061 · doi:10.1007/978-1-4612-4348-9
[5] Bollen K. A., Structural equations with latent variables (1989) · Zbl 0731.62159 · doi:10.1002/9781118619179
[6] DOI: 10.1073/pnas.0308538101 · doi:10.1073/pnas.0308538101
[7] DOI: 10.1073/pnas.91.6.2130 · doi:10.1073/pnas.91.6.2130
[8] DOI: 10.1006/drev.1996.0007 · doi:10.1006/drev.1996.0007
[9] Cox D. R., Int. Statist. Rev. 72 pp 285– (2004)
[10] Didelez V., Graphical models for event history analysis based on local independence (2000) · Zbl 0970.62084
[11] DOI: 10.1111/j.1467-9469.2006.00528.x · Zbl 1142.62052 · doi:10.1111/j.1467-9469.2006.00528.x
[12] Diggle P. J., Analysis of longitudinal data, 2nd edn (2002)
[13] DOI: 10.1056/NEJM200001063420108 · doi:10.1056/NEJM200001063420108
[14] DOI: 10.1007/s10985-006-9004-2 · Zbl 1134.62367 · doi:10.1007/s10985-006-9004-2
[15] DOI: 10.1093/nar/gni141 · doi:10.1093/nar/gni141
[16] DOI: 10.1111/1541-0420.00063 · Zbl 1210.62161 · doi:10.1111/1541-0420.00063
[17] DOI: 10.1126/science.1076641 · doi:10.1126/science.1076641
[18] DOI: 10.2307/1912791 · Zbl 1366.91115 · doi:10.2307/1912791
[19] Hume D., An abstract of a treatise on human nature, 1740 (1965)
[20] Kalbfleisch J. D., The statistical analysis of failure time data, 2nd edn (2002) · Zbl 1012.62104 · doi:10.1002/9781118032985
[21] Lauritzen S. L., Graphical models (1996) · Zbl 0907.62001
[22] DOI: 10.1158/0008-5472.CAN-04-4407 · doi:10.1158/0008-5472.CAN-04-4407
[23] DOI: 10.1086/392759 · doi:10.1086/392759
[24] DOI: 10.1186/gb-2005-6-13-r114 · doi:10.1186/gb-2005-6-13-r114
[25] DOI: 10.1086/378900 · doi:10.1086/378900
[26] Pearl J., Causality: models, reasoning and inference (2000) · Zbl 0959.68116
[27] DOI: 10.1016/S0140-6736(03)14571-0 · doi:10.1016/S0140-6736(03)14571-0
[28] Penrose R., The emperor’s new mind (1990) · Zbl 0749.00009
[29] DOI: 10.1097/00131746-200105000-00007 · doi:10.1097/00131746-200105000-00007
[30] DOI: 10.1093/esr/17.1.21 · doi:10.1093/esr/17.1.21
[31] DOI: 10.1126/science.2475911 · doi:10.1126/science.2475911
[32] DOI: 10.1016/0270-0255(86)90088-6 · Zbl 0614.62136 · doi:10.1016/0270-0255(86)90088-6
[33] Robins J. M., Health service research methodology: a focus on AIDS pp 113– (1989)
[34] DOI: 10.1097/00001648-200009000-00011 · doi:10.1097/00001648-200009000-00011
[35] DOI: 10.1037/h0037350 · doi:10.1037/h0037350
[36] DOI: 10.2307/3211973 · Zbl 0198.22603 · doi:10.2307/3211973
[37] N. Serban, and L. Wasserman (2003 ). Identifying genes altered by a drug in a temporal microarray data: a case study . Available at http://www.isye.gatech.edu/ nserban/jsm.pdf (accessed November 3, 2006).
[38] Shen-Orr S. S., Nat. Genet. (2002)
[39] Spellman P. T., Mol. Biol. Cell 9 pp 3273– (1998) · doi:10.1091/mbc.9.12.3273
[40] DOI: 10.1038/35065725 · Zbl 1370.90052 · doi:10.1038/35065725
[41] Suppes P., A probabilistic theory of causality (1970)
[42] DOI: 10.1073/pnas.0506577102 · doi:10.1073/pnas.0506577102
[43] DOI: 10.1158/1055-9965.EPI-06-0252 · doi:10.1158/1055-9965.EPI-06-0252
[44] DOI: 10.1101/gr.193902 · doi:10.1101/gr.193902
[45] Wright S., J. Agric. Res. 20 pp 557– (1921)
[46] DOI: 10.1038/438743a · doi:10.1038/438743a
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.