Testing heterogeneity in family firm efficiency terciles
| Panel A: Summary of family firm efficiency groups | |||||
|---|---|---|---|---|---|
| Efficiency terciles | No. obs. | Mean | Std dev | Min | Max |
| 1 | 2,928 | 0.5141 | 0.1214 | 0.0138 | 0.6831 |
| 2 | 2,947 | 0.6587 | 0.0464 | 0.5097 | 0.7452 |
| 3 | 2,937 | 0.7375 | 0.0394 | 0.6210 | 0.8568 |
| Panel A: Summary of family firm efficiency groups | |||||
|---|---|---|---|---|---|
| Efficiency terciles | No. obs. | Mean | Std dev | Min | Max |
| 1 | 2,928 | 0.5141 | 0.1214 | 0.0138 | 0.6831 |
| 2 | 2,947 | 0.6587 | 0.0464 | 0.5097 | 0.7452 |
| 3 | 2,937 | 0.7375 | 0.0394 | 0.6210 | 0.8568 |
| Panel B: Tests of equality of means | |||
|---|---|---|---|
| Difference | t-value | p-value | |
| Tercile 1 vs. 2 | −0.1446 | −60.38 | <0.0001 |
| Tercile 1 vs. 3 | −0.2234 | −94.85 | <0.0001 |
| Tercile 2 vs. 3 | −0.0788 | −70.17 | <0.0001 |
| Panel B: Tests of equality of means | |||
|---|---|---|---|
| Difference | |||
| Tercile 1 vs. 2 | −0.1446 | −60.38 | <0.0001 |
| Tercile 1 vs. 3 | −0.2234 | −94.85 | <0.0001 |
| Tercile 2 vs. 3 | −0.0788 | −70.17 | <0.0001 |
| Panel C: Tests of equality of variances | ||
|---|---|---|
| F-value | p-value | |
| Tercile 1 vs. 2 | 6.83 | <0.0001 |
| Tercile 1 vs. 3 | 9.51 | <0.0001 |
| Tercile 2 vs. 3 | 1.39 | <0.0001 |
| Panel C: Tests of equality of variances | ||
|---|---|---|
| F-value | ||
| Tercile 1 vs. 2 | 6.83 | <0.0001 |
| Tercile 1 vs. 3 | 9.51 | <0.0001 |
| Tercile 2 vs. 3 | 1.39 | <0.0001 |
Note(s): The table presents results for tests of Hypothesis 1 from Section 4. Panel A shows summary statistics of the three terciles in family firm efficiency. Tercile 1 is the lowest efficiency group, and Tercile 3 is the highest efficiency group. Panel B presents tests of equality in average efficiency across the different terciles, based on the Satterthwaite test, which allows for unequal variances. Panel C presents tests for equality in variance across terciles, based on the Folded F test. For background on the tests, see Casella and Berger (1990). Observations are based on efficiency as in Figure 4. The sample period comprises fiscal years 1992–2018
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