| Age Difference | OLS | 2SLS | 2SLS | Observations |
|---|---|---|---|---|
| Math (SD) | ||||
| 1–3 years | 0.107*** | 0.122 | 0.056 | 31,505 |
| (0.012) | (0.104) | (0.100) | ||
| 4–6 years | −0.128*** | −0.032 | −0.115 | 14,024 |
| (0.019) | (0.183) | (0.174) | ||
| 7–9 years | −0.132*** | 1.065** | 0.985** | 4,557 |
| (0.034) | (0.392) | (0.355) | ||
| Danish essay (SD) | ||||
| 1–3 years | −0.066*** | 0.134 | 0.116 | 31,505 |
| (0.012) | (0.104) | (0.098) | ||
| 4–6 years | −0.079*** | 0.096 | 0.003 | 14,024 |
| (0.018) | (0.182) | (0.171) | ||
| 7–9 years | −0.119*** | 0.037 | 0.101 | 4,557 |
| (0.033) | (0.345) | (0.311) | ||
| Danish grammar (SD) | ||||
| 1–3 years | −0.102*** | 0.106 | 0.079 | 31,505 |
| (0.012) | (0.103) | (0.099) | ||
| 4–6 years | −0.121*** | 0.279 | 0.189 | 14,024 |
| (0.018) | (0.184) | (0.175) | ||
| 7–9 years | −0.139*** | 0.768* | 0.763* | 4,557 |
| (0.033) | (0.368) | (0.336) | ||
| Danish oral (SD) | ||||
| 1–3 years | −0.081*** | 0.097 | 0.076 | 31,505 |
| (0.012) | (0.103) | (0.099) | ||
| 4–6 years | −0.101*** | −0.043 | −0.123 | 14,024 |
| (0.019) | (0.182) | (0.174) | ||
| 7–9 years | −0.105** | −0.124 | −0.070 | 4,557 |
| (0.034) | (0.342) | (0.316) | ||
| Distance to cutoff | X | X | X | |
| Covariates | X | X | ||
↵Notes: Table shows the estimated effects of being old-for-grade based on OLS and 2SLS regressions of older siblings’ grades at the end of Grade 9. Each table cell represents an estimate for one specific subgroup defined by age distance between siblings. Cutoff dummy (January = 1) used as instrument. Conditioning set includes distance to cutoff, cohort fixed effects, and background characteristics (see Table 2). Standard errors in parentheses +p < 0.10, *p < 0.05, **p < 0.01, ***p < 0.001.