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. 2022 Feb 1;147:106419. doi: 10.1016/j.jbankfin.2022.106419

Table 3.

Coefficient stability - test for omitted variable bias.

Total Supply
Total CG RR DP SIFI
[1] [2] [3] [4] [5] [6]
Full model β1 0.0207 0.0343 0.2465 0.1086 0.1797 -0.1854
(Table 2) R2 0.352 0.36 0.393 0.351 0.377 0.369
Restricted model β1 0.0185 0.0277 0.2275 0.0657 0.1759 -0.1456
(no country-level controls) R2 0.261 0.266 0.314 0.255 0.216 0.281
Oster Delta (Rmax=1) -1.3 -0.8 -1.7 -0.4 -12.2 -0.6
Oster Delta (Rmax=1.3*Rfull) -8.1 -4.5 -8.7 -2.3 -67.3 -3.7

This table reports the results of the coefficient stability test of Oster (2019). β1 is the coefficient of macroprudential variable, the one that is significant at the conventional level in Table 2, along with the associated R-squared, obtained by estimating Eq. (1) in a restricted version (omitting all country-level control variables) and in a full model (as presented in Table 2). The Oster Delta statistic represents the degree of selection on unobserved variables relative to that on observed variables, where we set Rmax=1.3*Rfull or Rmax=1. Note that Rmax is described as the R-squared for a speculative regression that contains unobserved confounders.