{"call_id":"call_808afc0f","run_id":"20261015T165744Z-suite-paper_repro-scripted-def9df/paper_repro.ajr_2001.tab4_pa_c1.tool/e1a1","step":"analysis","kind":"tool","name":"infer.iv_2sls","version":"0.1.0","code_version":"62cdbe0860ad","inputs":{"dataset":"maketable4","y":"logpgp95","endog":["avexpr"],"instruments":["logem4"],"exog":[],"cluster":null,"se":"classical","subset":"baseco == 1","level":0.95},"input_digest":"1b2bb7f5f82037c03141e2199a9d95588c1c3877bc4c2ccfbc949196031e8a34","dataset_digests":{"maketable4":"dc8a5df19428e33e3bb4109922ccbd092a69bde0d19a217451baa154782debfc"},"result":{"tool":"infer.iv_2sls","version":"0.1.0","call_id":"call_808afc0f","status":"ok","reason":"","figures":[{"key":"coef.avexpr","value":0.9442793851547994,"unit":"","label":"2SLS effect of avexpr on logpgp95","se":0.15652545732957907,"ci_low":0.6313894542623473,"ci_high":1.2571693160472515,"ci_level":0.95,"derivation":{"steps":[{"text_pt":"Com um instrumento e um regressor endógeno, o MQ2E é a razão entre o coeficiente de logem4 na forma reduzida (logpgp95 sobre logem4) e no primeiro estágio (avexpr sobre logem4).","formula":"β = ρ / π","terms":[{"symbol":"ρ","value":-0.5729681917341751,"unit":"","note":"forma reduzida"},{"symbol":"π","value":-0.6067782488338938,"unit":"","note":"primeiro estágio"}],"result":0.9442793851547994,"unit":""},{"text_pt":"Erro-padrão clássico (homocedástico): a raiz da variância estimada do coeficiente.","formula":"ep = √V_jj","terms":[{"symbol":"V_jj","value":0.024500218792233876,"unit":"","note":"diagonal da matriz de covariância"}],"result":0.15652545732957907,"unit":""},{"text_pt":"Intervalo de 95% de confiança: a estimativa mais ou menos o valor crítico da distribuição t de Student com 62 graus de liberdade vezes o erro-padrão.","formula":"IC = β ± c · ep","terms":[{"symbol":"β","value":0.9442793851547994,"unit":"","note":""},{"symbol":"c","value":1.9989715170333786,"unit":"","note":"quantil 0.975"},{"symbol":"ep","value":0.15652545732957907,"unit":"","note":""}],"result":null,"unit":""}],"note_pt":""}}],"diagnostics":[{"name":"first_stage_F.avexpr","value":22.94679658705377,"flag":false,"note":"Wald F of the excluded instruments in the first stage for avexpr (classical (homoskedastic) standard errors)"},{"name":"partial_r2.avexpr","value":0.2701313941078145,"flag":false,"note":"share of the variation the instruments explain beyond the controls"},{"name":"weak_instrument","value":false,"flag":false,"note":"every first-stage F is at least 10"},{"name":"n_obs","value":64,"flag":false,"note":""},{"name":"se_type","value":"classical","flag":false,"note":"classical (homoskedastic) standard errors"},{"name":"n_clusters","value":null,"flag":false,"note":"errors not clustered"}],"tables":{"coefficients":[{"term":"Intercept","coef":1.909666540546741,"se":1.0267272828674519,"t":1.8599549972154334,"p":0.0676371961257388,"ci_low":-0.1427320536663681,"ci_high":3.9620651347598503},{"term":"avexpr","coef":0.9442793851547994,"se":0.15652545732957907,"t":6.032752762807972,"p":9.798644711494112e-8,"ci_low":0.6313894542623473,"ci_high":1.2571693160472515}],"first_stage":[{"endog":"avexpr","instrument":"logem4","coef":-0.6067782488338938,"se":0.12666860022743895,"t":-4.79028147263329,"p":0.000010765461520046432,"ci_low":-0.8599851727910319,"ci_high":-0.3535713248767556}],"reduced_form":[{"instrument":"logem4","coef":-0.5729681917341751,"se":0.07615726511746891,"t":-7.523486969370543,"p":2.6586798876505685e-10,"ci_low":-0.7252043955191552,"ci_high":-0.4207319879491951}]},"datasets":{},"warnings":[],"assumptions":["the instruments affect the outcome only through the endogenous regressors (exclusion restriction)","the instruments are as good as randomly assigned given the controls","errors are independent and have the same variance for every observation"],"notes":""},"outputs":null,"output_digest":"98f84285f217edb692d9f674412ad2fa98a8d225f6e0345f0c055d997ff189f2","params_versions":[],"sources":[],"started_at":"2026-10-15T16:57:45.068136Z","duration_ms":58.550332905724645,"error":null,"decided_by":"code","rationale":"","cached":false,"informed_by":[],"model":null,"prompt":null,"response":null,"tokens_in":null,"tokens_out":null,"meta":{}}