Abstract
The aim of this article is to highlight that some economic correlates of Islamist political violence matter differently when they are considered in a specific path. In order to show this, we use a Generalized Mixed Effects Regression Tree analysis. This methodology combines the structure of random effects models for longitudinal data with the flexibility of a tree regression method. The latter is a nonparametric method for estimating a regression function.
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Notes
The “Manchester Manual” was found by British police and was considered to be Al Qaeda’s handbook way of operating [http://justice.gov/sites/default/files/ag/legacy/2002/10/08/manualpart1_2.pdf].
Unfortunately, the GTD does not distinguish between transnational and domestic attacks.
By using a negative binomial model and a traditional Hausman test, we do not reject the validity of an RE specification.
We estimate Eq. (2) by using the penalized quasi-likelihood method suggested by Hajjem et al. (2010). In this case, the error term becomes \(v^{-1}\left( {\mu _{it}^b } \right) \varepsilon _{it}\), where \(v^{-1}\left( {\mu _{it}^b } \right) \) is a power function for the relationship between the variance and the predicted means.
For further details on conditional inference trees, see Hothorn et al. (2006).
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Appendix: Stability analysis
Appendix: Stability analysis
Table 3 reports the leave-one-out results for all the regression trees presented in this article. Column 1 contains the name of the splitting variable and the number identifying the corresponding node. Column 2 reports the number of times in which the splitting variable did not appear in the validation exercise. Column 3 reports the number of leave-one-out replications in which the splitting variable appeared with a different threshold. Columns 4 and 5 give the relative incidence of numbers found in Columns 2 and 3, respectively. According to our validation tests, Fig. 1 is extremely stable; we identified the same splitting variables and their critical values in all leave-one-out tests. In 24 out of 446 trees, we also found an additional splitting variable after node 2. In particular, for highly educated countries, the expected number of attacks was 60.3 for countries with an inflation rate less or equal than 4.28 and was 29.9 for countries with an inflation rate higher than 4.28. The leave-one-out validation test for Fig. 2 revealed that node 5 fails to be identified 4.9% of the times; node 6 has a failure rate of 8.3%; the failure rate for node 8 is 4.5%; and node 9 is not selected 6.3% of times. Vice versa, the remaining nodes are always included in the tree, although in a few cases (less than 1.8%), their threshold values are slightly different. Finally, Fig. 3 is robust even if democracy is not selected 6.5% of the times. Vice versa, both per capita income and education always enter the tree.
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Bassetti, T., Caruso, R. & Schneider, F. The tree of political violence: a GMERT analysis. Empir Econ 54, 839–850 (2018). https://doi.org/10.1007/s00181-016-1214-1
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DOI: https://doi.org/10.1007/s00181-016-1214-1