| Trace statistic | Critical value | Prob.** | Max-Eigen Statistic | Critical value | Prob.** | |
None * At most 1 * At most 2 * At most 3 At most 4 | 125.2629 72.63127 34.74131 10.66412 1.723530 | 69.81889 47.85613 29.79707 15.49471 3.841466 | 0.0000 0.0001 0.0124 0.2330 0.1892 | 52.63160 37.88995 24.07719 8.940593 1.723530 | 33.87687 27.58434 21.13162 14.26460 3.841466 | 0.0001 0.0017 0.0187 0.2911 0.1892 | |