Robustness test 1, OLS regression with firm-clustered standard errors
| Variables | Business partner tasks | Business partner/entrepreneurial skills | Traditional tasks | Traditional traits | Digitalization | Sustainability |
|---|---|---|---|---|---|---|
| Year (base: 2016) | ||||||
| 2017 | 0.001 (0.100) | 0.024 (0.072) | −0.223 (0.295) | 0.239 (0.249) | 0.013 (0.053) | 0.012 (0.014) |
| 2018 | −0.009 (0.106) | 0.098 (0.076) | 0.199 (0.280) | 0.236 (0.253) | 0.095 (0.063) | 0.029 (0.016) |
| 2019 | −0.039 (0.096) | 0.059 (0.069) | 0.462 (0.290) | 0.270 (0.214) | 0.195* (0.083) | 0.026 (0.017) |
| 2020 | 0.101 (0.102) | 0.021 (0.073) | 0.853** (0.300) | 0.423 (0.226) | 0.290*** (0.075) | 0.035* (0.016) |
| 2021 | 0.010 (0.101) | 0.056 (0.070) | 0.923** (0.285) | 0.281 (0.210) | 0.304*** (0.083) | 0.065** (0.022) |
| 2022 | 0.173 (0.102) | 0.157* (0.071) | 0.980** (0.291) | 0.488* (0.213) | 0.289*** (0.061) | 0.108** (0.041) |
| 2023 | 0.132 (0.098) | 0.094 (0.067) | 1.577*** (0.297) | 0.468* (0.213) | 0.304*** (0.065) | 0.304** (0.089) |
| Public adm. | −0.017 (0.103) | −0.116 (0.063) | 0.034 (0.272) | −0.533** (0.203) | 0.043 (0.071) | −0.040 (0.038) |
| Sales (ln of 1,000 EUR) | 0.046* (0.021) | −0.008 (0.013) | 0.164*** (0.047) | 0.118*** (0.032) | 0.034* (0.013) | 0.021** (0.008) |
| Employees (1,000) | −0.005 (0.009) | −0.005 (0.003) | 0.016 (0.015) | 0.000 (0.008) | 0.003 (0.006) | −0.003 (0.002) |
| Constant | 0.090 (0.255) | 0.549** (0.160) | 1.798** (0.561) | 1.159** (0.406) | −0.341*(0.160) | −0.194* (0.076) |
| Theme predictors | ||||||
| Digitalization | 0.156* (0.063) | n/a | 0.176 (0.109) | n/a | n/a | n/a |
| Sustainability | −0.015 (0.019) | n/a | −0.131* (0.061) | n/a | n/a | n/a |
| Business partner tasks | n/a | n/a | n/a | n/a | 0.075** (0.028) | −0.005 (0.013) |
| Traditional tasks | n/a | n/a | n/a | n/a | 0.005 (0.006) | −0.009 (0.006) |
| F (10,956)/F (12,956) | 2.43 | 2.13 | 7.16 | 6.07 | 6.55 | 1.89 |
| Prob > F | 0.004 | 0.020 | 0.000 | 0.000 | 0.000 | 0.032 |
| R2 | 0.035 | 0.013 | 0.059 | 0.051 | 0.062 | 0.019 |
| Obs | 3,599 | 3,599 | 3,599 | 3,599 | 3,599 | 3,599 |
| Variables | Business partner tasks | Business partner/entrepreneurial skills | Traditional tasks | Traditional traits | Digitalization | Sustainability |
|---|---|---|---|---|---|---|
| 2017 | 0.001 (0.100) | 0.024 (0.072) | −0.223 (0.295) | 0.239 (0.249) | 0.013 (0.053) | 0.012 (0.014) |
| 2018 | −0.009 (0.106) | 0.098 (0.076) | 0.199 (0.280) | 0.236 (0.253) | 0.095 (0.063) | 0.029 (0.016) |
| 2019 | −0.039 (0.096) | 0.059 (0.069) | 0.462 (0.290) | 0.270 (0.214) | 0.195 | 0.026 (0.017) |
| 2020 | 0.101 (0.102) | 0.021 (0.073) | 0.853 | 0.423 (0.226) | 0.290 | 0.035 |
| 2021 | 0.010 (0.101) | 0.056 (0.070) | 0.923 | 0.281 (0.210) | 0.304 | 0.065 |
| 2022 | 0.173 (0.102) | 0.157* (0.071) | 0.980 | 0.488* (0.213) | 0.289 | 0.108 |
| 2023 | 0.132 (0.098) | 0.094 (0.067) | 1.577 | 0.468 | 0.304 | 0.304 |
| Public adm. | −0.017 (0.103) | −0.116 (0.063) | 0.034 (0.272) | −0.533 | 0.043 (0.071) | −0.040 (0.038) |
| Sales (ln of 1,000 | 0.046 | −0.008 (0.013) | 0.164 | 0.118 | 0.034 | 0.021 |
| Employees (1,000) | −0.005 (0.009) | −0.005 (0.003) | 0.016 (0.015) | 0.000 (0.008) | 0.003 (0.006) | −0.003 (0.002) |
| Constant | 0.090 (0.255) | 0.549 | 1.798 | 1.159 | −0.341 | −0.194 |
| Digitalization | 0.156 | n/a | 0.176 (0.109) | n/a | n/a | n/a |
| Sustainability | −0.015 (0.019) | n/a | −0.131 | n/a | n/a | n/a |
| Business partner tasks | n/a | n/a | n/a | n/a | 0.075 | −0.005 (0.013) |
| Traditional tasks | n/a | n/a | n/a | n/a | 0.005 (0.006) | −0.009 (0.006) |
| F (10,956)/F (12,956) | 2.43 | 2.13 | 7.16 | 6.07 | 6.55 | 1.89 |
| Prob > F | 0.004 | 0.020 | 0.000 | 0.000 | 0.000 | 0.032 |
| 0.035 | 0.013 | 0.059 | 0.051 | 0.062 | 0.019 | |
| Obs | 3,599 | 3,599 | 3,599 | 3,599 | 3,599 | 3,599 |
Note(s): Firm-clustered standard errors reported in parentheses; *p < 0.05, **p < 0.01, ***p < 0.001
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