| Equation | Excluded | chi2 | df | Prob> chi2 |
| ΔGold | ΔOil | 6.5857 | 2 | 0.037 |
| ΔGold | ΔEUR/USD | 3.3154 | 2 | 0.191 |
| ΔGold | ALL | 9.4601 | 4 | 0.051 |
| ΔOil | ΔGold | 15.394 | 2 | 0.000 |
| ΔOil | ΔEUR/USD | 0.06038 | 2 | 0.970 |
| ΔOil | ALL | 16.233 | 4 | 0.003 |
| ΔEUR/USD | ΔOil | 6.2113 | 2 | 0.045 |
| ΔEUR/USD | ΔGold | 5.1681 | 2 | 0.075 |
| ΔEUR/USD | ALL | 13.292 | 4 | 0.010 |