{"answer":"Na regress\u00e3o por m\u00ednimos quadrados ordin\u00e1rios (MQO) correspondente \u00e0 Tabela 2, coluna (2), de Acemoglu, Johnson e Robinson (2001), utilizando a amostra base de ex-col\u00f4nias (baseco == 1, com 64 observa\u00e7\u00f5es), o coeficiente estimado para a prote\u00e7\u00e3o m\u00e9dia contra o risco de desapropria\u00e7\u00e3o (avexpr) sobre o logaritmo do PIB per capita de 1995 \u00e9 de 0,522107 (erro padr\u00e3o cl\u00e1ssico de 0,061185; IC 95%: [0,3998, 0,644414]; com erro padr\u00e3o robusto HC1 de 0,0499225; IC 95%: [0,422313, 0,621901]). O R\u00b2 da regress\u00e3o \u00e9 de 0,540115.\n\nIn the OLS regression replicating Table 2, column (2) of Acemoglu, Johnson, and Robinson (2001) for the base sample of 64 former colonies (baseco == 1), the estimated coefficient on average protection against expropriation risk (avexpr) on log GDP per capita in 1995 (logpgp95) is 0.522107 (classical standard error of 0.061185, 95% CI [0.3998, 0.644414]; HC1 robust standard error of 0.0499225, 95% CI [0.422313, 0.621901]), with an R\u00b2 of 0.540115.\n\nRessalvas: A regress\u00e3o por MQO reflete uma correla\u00e7\u00e3o e n\u00e3o identifica necessariamente um efeito causal devido a potenciais problemas de vari\u00e1veis omitidas e causalidade reversa, o que motivou a estrat\u00e9gia de vari\u00e1veis instrumentais dos autores. A amostra \u00e9 restrita a 64 ex-col\u00f4nias com dados v\u00e1lidos na amostra base (baseco == 1).","attempt":1,"attempts":[{"attempt":1,"error":null,"error_kind":null,"trace":"traces/paper_repro.ajr_2001.tab2_c2.agent.e1.a1.jsonl","usage":{"cache_read_tokens":34954,"cache_write_tokens":0,"cached_tokens":34954,"input_tokens":59422,"model_calls":3,"output_tokens":3060,"thought_tokens":2363,"turns":3}}],"caveats":["A regress\u00e3o por MQO reflete uma correla\u00e7\u00e3o e n\u00e3o identifica necessariamente um efeito causal devido a potenciais problemas de vari\u00e1veis omitidas e causalidade reversa, o que motivou a estrat\u00e9gia de vari\u00e1veis instrumentais dos autores.","A amostra \u00e9 restrita a 64 ex-col\u00f4nias com dados v\u00e1lidos na amostra base (baseco == 1)."],"checks":[{"check_index":0,"detail":"every number 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{"answer":"Na replica\u00e7\u00e3o da Tabela 4, Painel A, coluna (1) de Acemoglu, Johnson e Robinson (2001), a estima\u00e7\u00e3o por M\u00ednimos Quadrados em Dois Est\u00e1gios (2SLS) na amostra base de 64 ex-col\u00f4nias indica que o coeficiente do \u00edndice de prote\u00e7\u00e3o contra risco de expropria\u00e7\u00e3o (avexpr) sobre o log do PIB per capita em 1995 (logpgp95) \u00e9 de 0,944279 (erro padr\u00e3o de 0,156525; IC 95% [0,631389; 1,25717]). \n\nO instrumento (log da mortalidade dos colonizadores europeus, logem4) \u00e9 forte no primeiro est\u00e1gio, com estat\u00edstica F de 22,946797 (R\u00b2 parcial de 0,270131).\n\nRessalvas: A validade causal depende crucialmente da hip\u00f3tese de exclus\u00e3o, ou seja, de que a mortalidade dos colonizadores afete o produto per capita contempor\u00e2neo unicamente por meio das institui\u00e7\u00f5es legadas, sem canais diretos persistentes (como condi\u00e7\u00f5es epidemiol\u00f3gicas ou geogr\u00e1ficas). Como o modelo \u00e9 exatamente identificado (um instrumento para um regressor end\u00f3geno), n\u00e3o \u00e9 poss\u00edvel realizar teste de sobreidentifica\u00e7\u00e3o (Sargan).","attempt":1,"attempts":[{"attempt":1,"error":null,"error_kind":null,"trace":"traces/paper_repro.ajr_2001.tab4_pa_c1.agent.e1.a1.jsonl","usage":{"cache_read_tokens":16729,"cache_write_tokens":0,"cached_tokens":16729,"input_tokens":38530,"model_calls":2,"output_tokens":1530,"thought_tokens":1055,"turns":2}}],"caveats":["A validade causal depende crucialmente da hip\u00f3tese de exclus\u00e3o, ou seja, de que a mortalidade dos colonizadores afete o produto per capita contempor\u00e2neo unicamente por meio das institui\u00e7\u00f5es legadas, sem canais diretos persistentes (como condi\u00e7\u00f5es epidemiol\u00f3gicas ou geogr\u00e1ficas).","Como o modelo \u00e9 exatamente identificado (um instrumento para um regressor end\u00f3geno), n\u00e3o \u00e9 poss\u00edvel realizar teste de 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{"answer":"Yes, institutions protecting property rights have a positive and statistically significant causal effect on income. \n\nUsing historical European settler mortality (`logem4`) as an instrumental variable for average protection against expropriation risk (`avexpr`) in a two-stage least squares (2SLS) regression among the 64 former colonies in the base sample (`baseco == 1`):\n\n- **First stage**: Settler mortality strongly and negatively predicts institutional quality (coefficient of -0.606778, SE = 0.150197). The first-stage Wald F-statistic is 16.32, which is above the conventional threshold of 10, indicating a strong instrument.\n- **2SLS causal estimate**: A 1-point increase in average protection against expropriation risk increases 1995 log GDP per capita by 0.944 log points (SE = 0.179; 95% CI: [0.587, 1.302]).\n- **Economic magnitude**: Transforming this effect from log points, a 1-point improvement in expropriation protection increases GDP per capita by approximately 157.10% (95% CI: [79.79%, 267.64%]).\n- **Comparison with OLS**: The corresponding OLS estimate is 0.522 (SE = 0.050; 95% CI: [0.422, 0.622]). The 2SLS estimate is larger than OLS, which is consistent with attenuation bias from measurement error in institutional quality dampening the OLS coefficient.\n\nRessalvas: The exclusion restriction relies on the assumption that historical European settler mortality affects modern GDP per capita solely through its persistent effect on institutions, and not directly via modern health/disease environments or geography. The causal estimate applies specifically to the 64 former colonies in the base sample for which historical mortality and institutional data were available.","attempt":1,"attempts":[{"attempt":1,"error":null,"error_kind":null,"trace":"traces/paper_repro.ajr_2001.tab4_pa_c1.design.e1.a1.jsonl","usage":{"cache_read_tokens":116282,"cache_write_tokens":0,"cached_tokens":116282,"input_tokens":152509,"model_calls":7,"output_tokens":3551,"thought_tokens":2644,"turns":7}}],"caveats":["The exclusion restriction relies on the assumption that historical European settler mortality affects modern GDP per capita solely through its persistent effect on institutions, and not directly via modern health/disease environments or geography.","The causal estimate applies specifically to the 64 former colonies in the base sample for which historical mortality and institutional data were available."],"checks":[{"check_index":0,"detail":"every number 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