Johansen cointegration tests for log prices of dairy commodities
| Commodity | Cointegration rank | Trace test | Maximum eigenvalue test |
|---|---|---|---|
| WMP | r = 0 | 106.918*** | 56.474*** |
| r ≤ l | 50.444*** | 32.925*** | |
| r ≤ 2 | 17.519 | 13.976* | |
| r ≤ 3 | 3.542 | 3.542 | |
| SMP | r = 0 | 103.933*** | 47.915*** |
| r ≤ l | 56.019*** | 29.642*** | |
| r ≤ 2 | 26.376*** | 24.306*** | |
| r ≤ 3 | 2.070 | 2.070 | |
| Butter | r = 0 | 82.010*** | 56.624*** |
| r ≤ l | 25.386 | 15.326 | |
| r ≤ 2 | 10.061 | 6.948 | |
| r ≤ 3 | 3.113 | 3.113 | |
| Cheddar | r = 0 | 79.295*** | 41.968*** |
| r ≤ l | 37.326** | 24.852** | |
| r ≤ 2 | 12.474 | 10.340 | |
| r ≤ 3 | 2.134 | 2.134 |
| Commodity | Cointegration rank | Trace test | Maximum eigenvalue test |
|---|---|---|---|
| WMP | 106.918*** | 56.474*** | |
| 50.444*** | 32.925*** | ||
| 17.519 | 13.976* | ||
| 3.542 | 3.542 | ||
| SMP | 103.933*** | 47.915*** | |
| 56.019*** | 29.642*** | ||
| 26.376*** | 24.306*** | ||
| 2.070 | 2.070 | ||
| Butter | 82.010*** | 56.624*** | |
| 25.386 | 15.326 | ||
| 10.061 | 6.948 | ||
| 3.113 | 3.113 | ||
| Cheddar | 79.295*** | 41.968*** | |
| 37.326** | 24.852** | ||
| 12.474 | 10.340 | ||
| 2.134 | 2.134 |
| Trace test-critical values | |||
|---|---|---|---|
| 0.01 | 0.05 | 0.1 | |
| r = 0 | 61.267 | 54.079 | 50.525 |
| r ≤ l | 41.195 | 35.193 | 32.268 |
| r ≤ 2 | 25.078 | 20.262 | 17.98 |
| r ≤ 3 | 12.761 | 9.165 | 7.557 |
| Trace test-critical values | |||
|---|---|---|---|
| 0.01 | 0.05 | 0.1 | |
| 61.267 | 54.079 | 50.525 | |
| 41.195 | 35.193 | 32.268 | |
| 25.078 | 20.262 | 17.98 | |
| 12.761 | 9.165 | 7.557 | |
| Maximum eigenvalue test-critical values | |||
| 0.01 | 0.05 | 0.1 | |
| r = 0 | 33.733 | 28.588 | 26.121 |
| r ≤ l | 27.068 | 22.3 | 20.05 |
| r ≤ 2 | 20.161 | 15.892 | 13.906 |
| r < 3 | 12.761 | 9.165 | 7.557 |
| Maximum eigenvalue test-critical values | |||
| 0.01 | 0.05 | 0.1 | |
| 33.733 | 28.588 | 26.121 | |
| 27.068 | 22.3 | 20.05 | |
| 20.161 | 15.892 | 13.906 | |
| 12.761 | 9.165 | 7.557 | |
Note(s): ***, ** and * denote significance level of 1%, 5% and 10%, respectively
Source(s): Own calculations
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