{"attempt":1,"datasets":{"bcg":{"description_shown":"The trials of BCG vaccine against tuberculosis analysed by Colditz et al. (1994), as metadat's dat.bcg holds them: one row per trial. Columns: trial, the trial number; author and year of the report; tpos and tneg, the vaccinated people who did and did not get tuberculosis; cpos and cneg, the same for the unvaccinated; ablat, the trial's absolute latitude; alloc, how treatment was allocated. Built columns: n_t and n_c, the arm sizes; risk_t and risk_c, the arms' tuberculosis risks; rr, their ratio; yi, the log relative risk; vi, its large-sample variance (tneg/(tpos\u00b7n_t) + cneg/(cpos\u00b7n_c)); sei, its standard error.","file_sha256":"8508024604252ddecbbba88a5ebbbf76ddec7d32f9e5df56521f602ce5398fdb","frame_sha256":null,"role":"agent","transforms":[{"args":{"columns":["trial"],"to":"str"},"op":"cast"},{"args":{"args":{"columns":["tpos","tneg"]},"name":"n_t","op":"sum"},"op":"derive"},{"args":{"args":{"columns":["cpos","cneg"]},"name":"n_c","op":"sum"},"op":"derive"},{"args":{"args":{"left":"tpos","right":"n_t"},"name":"risk_t","op":"ratio"},"op":"derive"},{"args":{"args":{"left":"cpos","right":"n_c"},"name":"risk_c","op":"ratio"},"op":"derive"},{"args":{"args":{"left":"risk_t","right":"risk_c"},"name":"rr","op":"ratio"},"op":"derive"},{"args":{"args":{"column":"rr"},"name":"yi","op":"log"},"op":"derive"},{"args":{"args":{"columns":["tpos","n_t"]},"name":"tpos_n_t","op":"product"},"op":"derive"},{"args":{"args":{"columns":["cpos","n_c"]},"name":"cpos_n_c","op":"product"},"op":"derive"},{"args":{"args":{"left":"tneg","right":"tpos_n_t"},"name":"v_t","op":"ratio"},"op":"derive"},{"args":{"args":{"left":"cneg","right":"cpos_n_c"},"name":"v_c","op":"ratio"},"op":"derive"},{"args":{"args":{"columns":["v_t","v_c"]},"name":"vi","op":"sum"},"op":"derive"},{"args":{"args":{"column":"vi"},"name":"log_vi","op":"log"},"op":"derive"},{"args":{"args":{"column":"log_vi","factor":0.5},"name":"half_log_vi","op":"scale"},"op":"derive"},{"args":{"args":{"column":"half_log_vi"},"name":"sei","op":"exp"},"op":"derive"}]}},"epoch":1,"event":"sample_init","question":"","question_sha256":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855","run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":0,"skills":[],"task_id":"paper_repro.colditz_1994.trials_rr.tool","task_sha256":"0370cbd184c3bf6f84222c6ae6afebbed6f0c867d7026ece91e8a382d15865a0","timestamp":"2026-10-15T16:59:21.969836Z"}
{"attempt":1,"call_id":"call_b49f1240","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"5b0b175097dcfaabbf38b7ecaf068fa83b5d825b0b60abc89976564a6fbd8eab","frame_sha256_before":"04c90e9b74f38c25402f45d2636dfce87f25c1dc6ad7ddd8325fc0829ee364ce","index":0,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":1,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.969836Z","transform":{"args":{"columns":["trial"],"to":"str"},"op":"cast"}}
{"attempt":1,"call_id":"call_63020320","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"04bb078fa6e0b5ae072b7ceeb24c74c9958d30db7230ecca51b132db561b0044","frame_sha256_before":"5b0b175097dcfaabbf38b7ecaf068fa83b5d825b0b60abc89976564a6fbd8eab","index":1,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":2,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.971256Z","transform":{"args":{"args":{"columns":["tpos","tneg"]},"name":"n_t","op":"sum"},"op":"derive"}}
{"attempt":1,"call_id":"call_abec561c","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"5e452e05cc4e30e8a5eaa6d72bfac7ea8c579502d46a68e7a1885de62df8febc","frame_sha256_before":"04bb078fa6e0b5ae072b7ceeb24c74c9958d30db7230ecca51b132db561b0044","index":2,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":3,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.975052Z","transform":{"args":{"args":{"columns":["cpos","cneg"]},"name":"n_c","op":"sum"},"op":"derive"}}
{"attempt":1,"call_id":"call_38aec6ad","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"8fef9bdd4eb8c0d58644810f8d282176ddbe73d31fcc001384e9a4f079cad790","frame_sha256_before":"5e452e05cc4e30e8a5eaa6d72bfac7ea8c579502d46a68e7a1885de62df8febc","index":3,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":4,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.976546Z","transform":{"args":{"args":{"left":"tpos","right":"n_t"},"name":"risk_t","op":"ratio"},"op":"derive"}}
{"attempt":1,"call_id":"call_000b7039","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"e027760d38e96ce5031d3a32496374d90a45c9663bd7f0f9867b7cb68ad74be5","frame_sha256_before":"8fef9bdd4eb8c0d58644810f8d282176ddbe73d31fcc001384e9a4f079cad790","index":4,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":5,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.978335Z","transform":{"args":{"args":{"left":"cpos","right":"n_c"},"name":"risk_c","op":"ratio"},"op":"derive"}}
{"attempt":1,"call_id":"call_d496c39d","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"6eafc30000918e38286ded66c13e1b23273dd96a005e2510c6586187fd8a944a","frame_sha256_before":"e027760d38e96ce5031d3a32496374d90a45c9663bd7f0f9867b7cb68ad74be5","index":5,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":6,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.979847Z","transform":{"args":{"args":{"left":"risk_t","right":"risk_c"},"name":"rr","op":"ratio"},"op":"derive"}}
{"attempt":1,"call_id":"call_95f81462","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"7603dce3f18cc4ce855499d60bb184b202bc6983d09861f85a773b1b97b49f8c","frame_sha256_before":"6eafc30000918e38286ded66c13e1b23273dd96a005e2510c6586187fd8a944a","index":6,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":7,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.981786Z","transform":{"args":{"args":{"column":"rr"},"name":"yi","op":"log"},"op":"derive"}}
{"attempt":1,"call_id":"call_249e020a","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"71c9857fa6ef3531e00fcf23df78a24e5f9d61d9df5a99bc2688fcce1cfcaed2","frame_sha256_before":"7603dce3f18cc4ce855499d60bb184b202bc6983d09861f85a773b1b97b49f8c","index":7,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":8,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.983460Z","transform":{"args":{"args":{"columns":["tpos","n_t"]},"name":"tpos_n_t","op":"product"},"op":"derive"}}
{"attempt":1,"call_id":"call_6a810d90","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"d8d7394c769f4a6f69262d3536dbe35a0461048feddb09901760dceca8b0a91a","frame_sha256_before":"71c9857fa6ef3531e00fcf23df78a24e5f9d61d9df5a99bc2688fcce1cfcaed2","index":8,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":9,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.985745Z","transform":{"args":{"args":{"columns":["cpos","n_c"]},"name":"cpos_n_c","op":"product"},"op":"derive"}}
{"attempt":1,"call_id":"call_bda68e0b","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"c1cbb1940c85264ba0a580b8e7b698d7b090863d0e530a5b9b0c6cf9a257f75a","frame_sha256_before":"d8d7394c769f4a6f69262d3536dbe35a0461048feddb09901760dceca8b0a91a","index":9,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":10,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.987761Z","transform":{"args":{"args":{"left":"tneg","right":"tpos_n_t"},"name":"v_t","op":"ratio"},"op":"derive"}}
{"attempt":1,"call_id":"call_fac9be50","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"e2a7d80863602deb14e99177a881a2c937d692f0ddc27a3674ac08805fcd7353","frame_sha256_before":"c1cbb1940c85264ba0a580b8e7b698d7b090863d0e530a5b9b0c6cf9a257f75a","index":10,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":11,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.991859Z","transform":{"args":{"args":{"left":"cneg","right":"cpos_n_c"},"name":"v_c","op":"ratio"},"op":"derive"}}
{"attempt":1,"call_id":"call_36406b44","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"975270d4d3d20148c2429f52926957568859f4576d209f8aff9819e286d395cc","frame_sha256_before":"e2a7d80863602deb14e99177a881a2c937d692f0ddc27a3674ac08805fcd7353","index":11,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":12,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.995421Z","transform":{"args":{"args":{"columns":["v_t","v_c"]},"name":"vi","op":"sum"},"op":"derive"}}
{"attempt":1,"call_id":"call_39991781","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"364b2a8edbfffefdc759fa448218ed234f160a48ce549aeb2f6bbcc86c833dcf","frame_sha256_before":"975270d4d3d20148c2429f52926957568859f4576d209f8aff9819e286d395cc","index":12,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":13,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.997111Z","transform":{"args":{"args":{"column":"vi"},"name":"log_vi","op":"log"},"op":"derive"}}
{"attempt":1,"call_id":"call_34578627","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"cd0e4c1398a23df084f750f13dd7d53d0e0bbc2eed4c9ea60eb8c7614dfcc27e","frame_sha256_before":"364b2a8edbfffefdc759fa448218ed234f160a48ce549aeb2f6bbcc86c833dcf","index":13,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":14,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:21.999134Z","transform":{"args":{"args":{"column":"log_vi","factor":0.5},"name":"half_log_vi","op":"scale"},"op":"derive"}}
{"attempt":1,"call_id":"call_932f2527","dataset_id":"bcg","epoch":1,"event":"transform","frame_sha256_after":"7470c42c4c3f5b5c92884014f883af332bf6f27a89d797faaf88c21a0ba94c97","frame_sha256_before":"cd0e4c1398a23df084f750f13dd7d53d0e0bbc2eed4c9ea60eb8c7614dfcc27e","index":14,"rows_after":13,"rows_before":13,"run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":15,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:22.000951Z","transform":{"args":{"args":{"column":"half_log_vi"},"name":"sei","op":"exp"},"op":"derive"}}
{"arguments":{"estimates":[{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":-0.8893113339202054,"id":"1","se":0.5706003548929508,"study_id":"1"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":-1.5853886572014306,"id":"2","se":0.4411135017182583,"study_id":"2"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":-1.348073148299693,"id":"3","se":0.644490469571091,"study_id":"3"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":-1.4415511900213054,"id":"4","se":0.14145681992130169,"study_id":"4"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":-0.2175473222112957,"id":"5","se":0.2262966463950159,"study_id":"5"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":-0.786115585818864,"id":"6","se":0.08310005087789514,"study_id":"6"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":-1.6208982235983924,"id":"7","se":0.4722470196542432,"study_id":"7"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":0.011952333523841173,"id":"8","se":0.06294107798423641,"study_id":"8"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":-0.4694176487381487,"id":"9","se":0.2375588568402554,"study_id":"9"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":-1.3713448034727846,"id":"10","se":0.2702310004663212,"study_id":"10"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":-0.33935882833839015,"id":"11","se":0.1114101161096232,"study_id":"11"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":0.4459134005713783,"id":"12","se":0.7297299810204818,"study_id":"12"},{"ci_high":null,"ci_level":0.95,"ci_low":null,"estimate":-0.017313948216879493,"id":"13","se":0.26721650339001574,"study_id":"13"}],"level":0.95,"unit":"log relative risk"},"attempt":1,"cached":false,"call_id":"call_ffdefaa3","card_version":"0.1.0","code_version":"62cdbe0860ad","dataset_digests":{},"decided_by":"code","duration_ms":0.44466694816946983,"epoch":1,"error":null,"event":"tool","informed_by":[],"input_digest":"33a3fa849d181b5314d0aab16599afe4b5ff2ec41b3592929030a5ad6b23794a","llm_name":null,"output_digest":"2d7ccbac2a7f7e2b4640bb61b6051dc65c94514208e4a4945631ef79f0304284","rationale":"","replay_class":"replayed","result":{"assumptions":["every estimate measures the same effect in 'log relative risk'","each study contributes one independent estimate"],"call_id":"call_ffdefaa3","datasets":{},"diagnostics":[{"flag":false,"name":"k","note":"independent studies","value":13},{"flag":false,"name":"tau2","note":"between-study variance, (log relative risk)\u00b2","value":0.30876026286237646},{"flag":true,"name":"i2","note":"high heterogeneity: report the spread, not only the mean","value":92.11734685456207},{"flag":false,"name":"q","note":"Cochran's Q","value":152.2330080823734},{"flag":false,"name":"n_se_from_interval","note":"standard errors taken from published intervals","value":0}],"figures":[{"ci_high":-0.36378916406240297,"ci_level":0.95,"ci_low":-1.064445280084051,"derivation":{"note_pt":"","steps":[{"formula":"w_1 = 1 / ep_1\u00b2 ; w_2 = 1 / ep_2\u00b2 ; w_3 = 1 / ep_3\u00b2 ; w_4 = 1 / ep_4\u00b2 ; w_5 = 1 / ep_5\u00b2 ; w_6 = 1 / ep_6\u00b2 ; w_7 = 1 / ep_7\u00b2 ; w_8 = 1 / ep_8\u00b2 ; w_9 = 1 / ep_9\u00b2 ; w_10 = 1 / ep_10\u00b2 ; w_11 = 1 / ep_11\u00b2 ; w_12 = 1 / ep_12\u00b2 ; w_13 = 1 / ep_13\u00b2","result":null,"terms":[{"note":"1 (1)","symbol":"y_1","unit":"log relative risk","value":-0.8893113339202054},{"note":"erro-padr\u00e3o publicado","symbol":"ep_1","unit":"log relative risk","value":0.5706003548929508},{"note":"","symbol":"w_1","unit":"","value":3.0713967835314193},{"note":"2 (2)","symbol":"y_2","unit":"log relative risk","value":-1.5853886572014306},{"note":"erro-padr\u00e3o publicado","symbol":"ep_2","unit":"log relative risk","value":0.4411135017182583},{"note":"","symbol":"w_2","unit":"","value":5.13924471610913},{"note":"3 (3)","symbol":"y_3","unit":"log relative risk","value":-1.348073148299693},{"note":"erro-padr\u00e3o publicado","symbol":"ep_3","unit":"log relative risk","value":0.644490469571091},{"note":"","symbol":"w_3","unit":"","value":2.407503908285565},{"note":"4 (4)","symbol":"y_4","unit":"log relative risk","value":-1.4415511900213054},{"note":"erro-padr\u00e3o publicado","symbol":"ep_4","unit":"log relative risk","value":0.14145681992130169},{"note":"","symbol":"w_4","unit":"","value":49.97493281795706},{"note":"5 (5)","symbol":"y_5","unit":"log relative risk","value":-0.2175473222112957},{"note":"erro-padr\u00e3o publicado","symbol":"ep_5","unit":"log relative risk","value":0.2262966463950159},{"note":"","symbol":"w_5","unit":"","value":19.52737039601342},{"note":"6 (6)","symbol":"y_6","unit":"log relative risk","value":-0.786115585818864},{"note":"erro-padr\u00e3o publicado","symbol":"ep_6","unit":"log relative risk","value":0.08310005087789514},{"note":"","symbol":"w_6","unit":"","value":144.80962224959802},{"note":"7 (7)","symbol":"y_7","unit":"log relative risk","value":-1.6208982235983924},{"note":"erro-padr\u00e3o publicado","symbol":"ep_7","unit":"log relative risk","value":0.4722470196542432},{"note":"","symbol":"w_7","unit":"","value":4.483958128286655},{"note":"8 (8)","symbol":"y_8","unit":"log relative risk","value":0.011952333523841173},{"note":"erro-padr\u00e3o publicado","symbol":"ep_8","unit":"log relative risk","value":0.06294107798423641},{"note":"","symbol":"w_8","unit":"","value":252.42458242622047},{"note":"9 (9)","symbol":"y_9","unit":"log relative risk","value":-0.4694176487381487},{"note":"erro-padr\u00e3o publicado","symbol":"ep_9","unit":"log relative risk","value":0.2375588568402554},{"note":"","symbol":"w_9","unit":"","value":17.719748212854313},{"note":"10 (10)","symbol":"y_10","unit":"log relative risk","value":-1.3713448034727846},{"note":"erro-padr\u00e3o publicado","symbol":"ep_10","unit":"log relative risk","value":0.2702310004663212},{"note":"","symbol":"w_10","unit":"","value":13.693979133979813},{"note":"11 (11)","symbol":"y_11","unit":"log relative risk","value":-0.33935882833839015},{"note":"erro-padr\u00e3o publicado","symbol":"ep_11","unit":"log relative risk","value":0.1114101161096232},{"note":"","symbol":"w_11","unit":"","value":80.56580415801031},{"note":"12 (12)","symbol":"y_12","unit":"log relative risk","value":0.4459134005713783},{"note":"erro-padr\u00e3o publicado","symbol":"ep_12","unit":"log relative risk","value":0.7297299810204818},{"note":"","symbol":"w_12","unit":"","value":1.8779136586268463},{"note":"13 (13)","symbol":"y_13","unit":"log relative risk","value":-0.017313948216879493},{"note":"erro-padr\u00e3o publicado","symbol":"ep_13","unit":"log relative risk","value":0.26721650339001574},{"note":"","symbol":"w_13","unit":"","value":14.004688271405163}],"text_pt":"Cada um dos 13 estudos entra com uma estimativa y e o seu erro-padr\u00e3o ep (derivado do intervalo publicado, ao n\u00edvel que o estudo declara, quando o erro-padr\u00e3o n\u00e3o \u00e9 publicado); o peso de efeitos fixos \u00e9 o inverso da vari\u00e2ncia.","unit":""},{"formula":"\u0233_F = (w_1\u00b7y_1 + w_2\u00b7y_2 + w_3\u00b7y_3 + w_4\u00b7y_4 + w_5\u00b7y_5 + w_6\u00b7y_6 + w_7\u00b7y_7 + w_8\u00b7y_8 + w_9\u00b7y_9 + w_10\u00b7y_10 + w_11\u00b7y_11 + w_12\u00b7y_12 + w_13\u00b7y_13) / (w_1 + w_2 + w_3 + w_4 + w_5 + w_6 + w_7 + w_8 + w_9 + w_10 + w_11 + w_12 + w_13)","result":-0.4302851636540906,"terms":[],"text_pt":"A m\u00e9dia de efeitos fixos pondera cada estudo pela sua precis\u00e3o.","unit":"log relative risk"},{"formula":"Q = w_1\u00b7(y_1 \u2212 \u0233_F)\u00b2 + w_2\u00b7(y_2 \u2212 \u0233_F)\u00b2 + w_3\u00b7(y_3 \u2212 \u0233_F)\u00b2 + w_4\u00b7(y_4 \u2212 \u0233_F)\u00b2 + w_5\u00b7(y_5 \u2212 \u0233_F)\u00b2 + w_6\u00b7(y_6 \u2212 \u0233_F)\u00b2 + w_7\u00b7(y_7 \u2212 \u0233_F)\u00b2 + w_8\u00b7(y_8 \u2212 \u0233_F)\u00b2 + w_9\u00b7(y_9 \u2212 \u0233_F)\u00b2 + w_10\u00b7(y_10 \u2212 \u0233_F)\u00b2 + w_11\u00b7(y_11 \u2212 \u0233_F)\u00b2 + w_12\u00b7(y_12 \u2212 \u0233_F)\u00b2 + w_13\u00b7(y_13 \u2212 \u0233_F)\u00b2","result":152.2330080823734,"terms":[],"text_pt":"A estat\u00edstica Q mede quanto os estudos discordam da m\u00e9dia de efeitos fixos al\u00e9m do acaso.","unit":""},{"formula":"C = (w_1 + w_2 + w_3 + w_4 + w_5 + w_6 + w_7 + w_8 + w_9 + w_10 + w_11 + w_12 + w_13) \u2212 (w_1\u00b2 + w_2\u00b2 + w_3\u00b2 + w_4\u00b2 + w_5\u00b2 + w_6\u00b2 + w_7\u00b2 + w_8\u00b2 + w_9\u00b2 + w_10\u00b2 + w_11\u00b2 + w_12\u00b2 + w_13\u00b2) / (w_1 + w_2 + w_3 + w_4 + w_5 + w_6 + w_7 + w_8 + w_9 + w_10 + w_11 + w_12 + w_13)","result":454.18088060405427,"terms":[],"text_pt":"C \u00e9 a constante de escala de DerSimonian e Laird.","unit":""},{"formula":"\u03c4\u00b2 = max(0, (Q \u2212 (k \u2212 1)) / C)","result":0.30876026286237646,"terms":[{"note":"","symbol":"k","unit":"estudos","value":13.0}],"text_pt":"A vari\u00e2ncia entre estudos \u03c4\u00b2 \u00e9 zero quando Q n\u00e3o excede k \u2212 1, o que o acaso sozinho produziria.","unit":"(log relative risk)\u00b2"},{"formula":"I\u00b2 = max(0, (Q \u2212 (k \u2212 1)) / Q) \u00d7 100","result":92.11734685456207,"terms":[],"text_pt":"I\u00b2 \u00e9 a parcela da dispers\u00e3o observada que vem da varia\u00e7\u00e3o entre estudos, n\u00e3o do acaso.","unit":"%"},{"formula":"w*_1 = 1 / (ep_1\u00b2 + \u03c4\u00b2) ; w*_2 = 1 / (ep_2\u00b2 + \u03c4\u00b2) ; w*_3 = 1 / (ep_3\u00b2 + \u03c4\u00b2) ; w*_4 = 1 / (ep_4\u00b2 + \u03c4\u00b2) ; w*_5 = 1 / (ep_5\u00b2 + \u03c4\u00b2) ; w*_6 = 1 / (ep_6\u00b2 + \u03c4\u00b2) ; w*_7 = 1 / (ep_7\u00b2 + \u03c4\u00b2) ; w*_8 = 1 / (ep_8\u00b2 + \u03c4\u00b2) ; w*_9 = 1 / (ep_9\u00b2 + \u03c4\u00b2) ; w*_10 = 1 / (ep_10\u00b2 + \u03c4\u00b2) ; w*_11 = 1 / (ep_11\u00b2 + \u03c4\u00b2) ; w*_12 = 1 / (ep_12\u00b2 + \u03c4\u00b2) ; w*_13 = 1 / (ep_13\u00b2 + \u03c4\u00b2)","result":null,"terms":[{"note":"","symbol":"w*_1","unit":"","value":1.5764291608993408},{"note":"","symbol":"w*_2","unit":"","value":1.9867231888137737},{"note":"","symbol":"w*_3","unit":"","value":1.3809708847338356},{"note":"","symbol":"w*_4","unit":"","value":3.0416373252818607},{"note":"","symbol":"w*_5","unit":"","value":2.7780059212670714},{"note":"","symbol":"w*_6","unit":"","value":3.167906508691391},{"note":"","symbol":"w*_7","unit":"","value":1.8804856925644875},{"note":"","symbol":"w*_8","unit":"","value":3.1977299477781354},{"note":"","symbol":"w*_9","unit":"","value":2.7382670687580495},{"note":"","symbol":"w*_10","unit":"","value":2.619274859084015},{"note":"","symbol":"w*_11","unit":"","value":3.113591830339357},{"note":"","symbol":"w*_12","unit":"","value":1.1886845201728637},{"note":"","symbol":"w*_13","unit":"","value":2.630437319945124}],"text_pt":"Os pesos de efeitos aleat\u00f3rios somam \u03c4\u00b2 \u00e0 vari\u00e2ncia de cada estudo, o que aproxima os pesos entre si quando os estudos discordam.","unit":""},{"formula":"ep(\u0233) = \u221a(1 / (w*_1 + w*_2 + w*_3 + w*_4 + w*_5 + w*_6 + w*_7 + w*_8 + w*_9 + w*_10 + w*_11 + w*_12 + w*_13))","result":0.1787420895354032,"terms":[],"text_pt":"O erro-padr\u00e3o da m\u00e9dia agrupada vem da soma dos pesos de efeitos aleat\u00f3rios.","unit":"log relative risk"},{"formula":"\u0233 = (w*_1\u00b7y_1 + w*_2\u00b7y_2 + w*_3\u00b7y_3 + w*_4\u00b7y_4 + w*_5\u00b7y_5 + w*_6\u00b7y_6 + w*_7\u00b7y_7 + w*_8\u00b7y_8 + w*_9\u00b7y_9 + w*_10\u00b7y_10 + w*_11\u00b7y_11 + w*_12\u00b7y_12 + w*_13\u00b7y_13) / (w*_1 + w*_2 + w*_3 + w*_4 + w*_5 + w*_6 + w*_7 + w*_8 + w*_9 + w*_10 + w*_11 + w*_12 + w*_13)","result":-0.7141172220732269,"terms":[],"text_pt":"A m\u00e9dia agrupada \u00e9 a m\u00e9dia das estimativas ponderada pelos pesos de efeitos aleat\u00f3rios.","unit":"log relative risk"},{"formula":"IC95 = \u0233 \u00b1 z\u00b7ep(\u0233)","result":null,"terms":[{"note":"quantil 0.975 da normal padr\u00e3o","symbol":"z","unit":"","value":1.959963984540054}],"text_pt":"O intervalo de 95% usa o valor cr\u00edtico da normal.","unit":""}]},"key":"pooled","label":"Random-effects pooled estimate (DerSimonian\u2013Laird) over 13 studies","se":0.1787420895354032,"unit":"log relative risk","value":-0.7141172220732269}],"notes":"","reason":"","status":"ok","tables":{"studies":[{"estimate":-0.8893113339202054,"id":"1","se":0.5706003548929508,"se_source":"reported","study_id":"1","weight_fixed":3.0713967835314193,"weight_pct":5.036491683231727,"weight_random":1.5764291608993408},{"estimate":-1.5853886572014306,"id":"2","se":0.4411135017182583,"se_source":"reported","study_id":"2","weight_fixed":5.13924471610913,"weight_pct":6.347329182641975,"weight_random":1.9867231888137737},{"estimate":-1.348073148299693,"id":"3","se":0.644490469571091,"se_source":"reported","study_id":"3","weight_fixed":2.407503908285565,"weight_pct":4.41202722473061,"weight_random":1.3809708847338356},{"estimate":-1.4415511900213054,"id":"4","se":0.14145681992130169,"se_source":"reported","study_id":"4","weight_fixed":49.97493281795706,"weight_pct":9.717646356814289,"weight_random":3.0416373252818607},{"estimate":-0.2175473222112957,"id":"5","se":0.2262966463950159,"se_source":"reported","study_id":"5","weight_fixed":19.52737039601342,"weight_pct":8.875377381656724,"weight_random":2.7780059212670714},{"estimate":-0.786115585818864,"id":"6","se":0.08310005087789514,"se_source":"reported","study_id":"6","weight_fixed":144.80962224959802,"weight_pct":10.121060419345175,"weight_random":3.167906508691391},{"estimate":-1.6208982235983924,"id":"7","se":0.4722470196542432,"se_source":"reported","study_id":"7","weight_fixed":4.483958128286655,"weight_pct":6.007913825721248,"weight_random":1.8804856925644875},{"estimate":0.011952333523841173,"id":"8","se":0.06294107798423641,"se_source":"reported","study_id":"8","weight_fixed":252.42458242622047,"weight_pct":10.216342533284292,"weight_random":3.1977299477781354},{"estimate":-0.4694176487381487,"id":"9","se":0.2375588568402554,"se_source":"reported","study_id":"9","weight_fixed":17.719748212854313,"weight_pct":8.748416776558122,"weight_random":2.7382670687580495},{"estimate":-1.3713448034727846,"id":"10","se":0.2702310004663212,"se_source":"reported","study_id":"10","weight_fixed":13.693979133979813,"weight_pct":8.368251724263134,"weight_random":2.619274859084015},{"estimate":-0.33935882833839015,"id":"11","se":0.1114101161096232,"se_source":"reported","study_id":"11","weight_fixed":80.56580415801031,"weight_pct":9.947531895144719,"weight_random":3.113591830339357},{"estimate":0.4459134005713783,"id":"12","se":0.7297299810204818,"se_source":"reported","study_id":"12","weight_fixed":1.8779136586268463,"weight_pct":3.7976966224232367,"weight_random":1.1886845201728637},{"estimate":-0.017313948216879493,"id":"13","se":0.26721650339001574,"se_source":"reported","study_id":"13","weight_fixed":14.004688271405163,"weight_pct":8.403914374184746,"weight_random":2.630437319945124}]},"tool":"evidence.pool_dl","version":"0.1.0","warnings":["I\u00b2 of 75% or more: most of the spread is between studies; report the range of estimates and \u03c4\u00b2, not only the mean"]},"result_for_model_ref":null,"result_sha256":"7a8048f466fa87f6c170becb651298e6bec0d22d4e20ebc7339a72c4ce7ae3d2","run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":16,"synthetic":false,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:22.006353Z","tool_id":"evidence.pool_dl","turn_id":null}
{"attempt":1,"check":{"check_index":0,"detail":"-0.7141172221 vs -0.7141172220732273","expected":-0.7141172220732273,"failure_class":null,"kind":"figure_close","observed":-0.7141172220732269,"passed":true,"required":true,"source_id":"colditz_1994.trials_rr.software","tolerance":{"abs_tol":1.7874208953540318e-07,"interval":null,"min_lre":null,"open_interval":false,"rel_tol":1e-06,"rule":null},"trace_call_id":null,"weight":1.0},"epoch":1,"event":"score","run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":17,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:22.006991Z"}
{"attempt":1,"check":{"check_index":1,"detail":"0.1787420895 vs 0.1787420895354032","expected":0.1787420895354032,"failure_class":null,"kind":"figure_close","observed":0.1787420895354032,"passed":true,"required":true,"source_id":"colditz_1994.trials_rr.software","tolerance":{"abs_tol":1.7874208953540318e-07,"interval":null,"min_lre":null,"open_interval":false,"rel_tol":1e-06,"rule":null},"trace_call_id":null,"weight":1.0},"epoch":1,"event":"score","run_id":"20261015T165911Z-suite-paper_repro-baseline-8b4f85","seq":18,"task_id":"paper_repro.colditz_1994.trials_rr.tool","timestamp":"2026-10-15T16:59:22.006991Z"}
