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It is the complete and only authoritative description of what is required: the scientific question, the inputs under `data/`, the required output files and their exact keys, and the information-availability rules.\n- There is no network access. Use the Python interpreter `~/wp29/venv/bin/python` (numpy, pandas, scipy, statsmodels, matplotlib are installed). Standard shell tools are available. Do not try to install packages.\n- Write every deliverable under `./out/`. The required deliverables are listed in `TASK.md`; at minimum they always include `out/results.json`, `out/report.md`, and a replication entry point `out/analysis.py` that regenerates `out/results.json` from `data/` when run with `~/wp29/venv/bin/python out/analysis.py` from the workspace root.\n- You are working alone and unattended; nobody will answer questions. Make reasonable, documented decisions.\n\nIntegrity rules (identical for every task):\n- Never fabricate numbers, data, results, or references. Every number in `out/results.json` and `out/report.md` must be produced by code you ran on the provided inputs.\n- Respect the information-availability rules in `TASK.md` exactly (for example, never use information that would not have been available at the stated decision time).\n- If part of the task cannot be completed as specified, say so explicitly in `out/report.md`, explain why, and still write every required file (use `null` for values you could not legitimately produce). An honest statement of a limitation is always preferred to a fabricated or guessed value.\n- Do not modify anything under `data/`.\n- When you are done, end with a brief plain-text summary of what you produced and any limitations.\n\nComplete the task described in `TASK.md` by following this research protocol. The protocol adds no scientific information to the task; it organizes how you work and what evidence you leave behind.\n\nPHASES (execute in order; a phase is eligible only when its dependencies are satisfied):\n\nP0 Scope and contract (depends on: nothing)\n- Read `TASK.md` completely. In `out/state/contract.md`, restate in your own words: the scientific question; the quantity or quantities to be estimated (the estimands) and the assumptions under which they are meaningful; every required output file and key; the information-availability rules; what would make the task impossible or the result invalid.\n- Write the initial phase ledger `out/state/phases.json`: a JSON object mapping each phase id (P0 … P5) to {\"status\": \"pending\"|\"running\"|\"passed\"|\"failed\"|\"blocked\"|\"stale\"|\"skipped_optional\", \"checks\": [], \"notes\": \"\"}. Keep it current as you work. A phase may only be set to \"passed\" when the checks listed for it in this protocol have actually been executed and their outcome recorded in \"checks\".\n\nP1 Data audit and provenance (depends on: P0)\n- Inspect every input file: compute and record its SHA-256, row and column counts, schema, units, date ranges, missing values, duplicates and anomalies in `out/state/data_audit.md`.\n- Keep an exclusion ledger in `out/exclusions.csv` (columns: step, rule, n_before, n_after, n_removed, rationale) for every filtering step you apply, so that n_raw − total removed = n_analysed.\n- Identify any input that violates the information-availability rules and decide, in writing, how you will handle it.\n\nP2 Baseline (depends on: P1)\n- Before any elaborate method, compute the simplest valid baseline that answers the question (for example a naïve or unconditional estimate), with the same evaluation rule used later. Record it in `out/results.json` under the keys the task requires, or under `baseline_*` keys when the task does not name them.\n\nP3 Method and computation (depends on: P2)\n- Implement the analysis in `out/analysis.py` so that it reads only `data/`, writes `out/results.json` deterministically (fix every random seed you use and record it), and prints nothing that contradicts the written results. Any figure or table must be generated by this script.\n\nP4 Verification (depends on: P3)\n- Re-run `out/analysis.py` from a clean state and confirm it regenerates `out/results.json` with identical values. Record the check in `out/state/phases.json` under P4.\n- Check internal consistency: identities that must hold (for example counts that must add up, standard errors that must be positive, confidence intervals that must contain their estimates, date orderings that must respect the information rules), units, and magnitudes against the baseline. Record every check and its outcome in `out/state/checks.md`. A failed check must be fixed or honestly reported, never silently ignored.\n\nP5 Reporting (depends on: P4)\n- Write `out/report.md` with the sections: Question; Data and exclusions; Method; Results; Uncertainty; Limitations and open issues. Every quantitative statement must cite the key of `out/results.json` it comes from.\n- Write `out/claims.json`: a list of the central claims of your report, each as {\"id\": \"C1\", \"text\": \"...\", \"results_keys\": [\"...\"], \"status\": \"supported\"|\"unsupported\"|\"not_evaluated\", \"caveat\": \"...\"}. Do not state a claim in the report that is not in this ledger.\n- Set the final statuses in `out/state/phases.json`.\n\nSTOPPING RULES\n- Stop and declare the task complete only when every phase P0–P5 is \"passed\" with recorded checks. If a phase is \"blocked\" (missing information, impossible requirement, violated availability rule), stop, set the status, explain in `out/report.md` (section Limitations and open issues) and still write every required file with `null` for values you could not legitimately produce.\n- Do not spend effort on extensions that the task does not require.\n\nRECOVERY RULES\n- Append a short dated entry to `out/state/log.md` after each phase transition and after any important decision, so that work can be resumed by reading `out/state/`.\n- If you discover that an upstream input or decision changed after a downstream phase passed, mark the downstream phases \"stale\" and redo them; do not reuse stale results.\n- If you are interrupted and later resumed, first read `out/state/` and continue from the last consistent state; never re-run expensive steps that already have recorded, unchanged outputs.\n\nEXECUTABLE GATES (additional, mandatory)\n- A read-only gate program is provided at `~/wp29/gates/pgar_gate.py`. Run it from the workspace root as `~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py .` It checks the output contract of `TASK.md` (required files, keys, types, finite values, report sections, the claims ledger, the phase ledger, the exclusion ledger) and reproducibility (it re-runs `out/analysis.py` in a temporary copy and compares the regenerated `out/results.json` with yours). It never checks scientific correctness and it contains no reference answers.\n- You must run the gate at the end of P4 and again at the end of P5, and record each run's receipt (the gate writes `out/state/gate_receipts/<timestamp>.json`) in `out/state/phases.json`. You may not declare the task complete while the latest gate receipt reports `\"passed\": false`. Fix the reported problems and re-run the gate.\n- The controller will run the same gate after your session ends. If it fails, you will be resumed with the gate output and asked to fix the problems; each such cycle consumes your remaining budget.\n\nSEPARATE REVIEW (additional)\n- After the gate passes, a separate reviewer session that has not seen your work in progress will examine `TASK.md` and everything under `out/` and may return a list of issues (file `out/review/review.json`). You will then be resumed once to address them: fix what is justified, explain in `out/report.md` (Limitations and open issues) what you disagree with, re-run the gate, and update `out/claims.json` and `out/state/phases.json`. The reviewer has no reference answers; its role is to challenge unsupported claims, violated information rules, unverified computations, and inconsistencies between your report and your results.\n"}],"tools":[{"name":"Bash","description":"execute shell commands","input_schema":{"$schema":"https://json-schema.org/draft/2020-12/schema","type":"object","properties":{"command":{"description":"The command to execute","type":"string"},"timeout":{"description":"Optional timeout in milliseconds (max 600000 for a foreground command)","type":"number"},"description":{"description":"Clear, concise description of what this command does in active voice. 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the user's own instructions about these lines, such as a CLAUDE.md or memory rule, take precedence over this reminder, but do not add attribution lines this reminder leaves out):\n- End git commit messages with:\nCo-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>\n- End pull request descriptions with:\n🤖 Generated with [Claude Code](https://claude.com/claude-code)\n</system-reminder>"}],"renderedRole":"user","renderedBesideToolResult":true,"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}11{"type":"tools-used","tools":["Bash"],"sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0"}12{"parentUuid":"cf080cbe-9088-46f2-83a2-e39f2e72a7ab","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXoLRYyLUepNTrRwpAZb","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":4,"cache_creation_input_tokens":2811,"cache_read_input_tokens":1504,"output_tokens":125,"output_tokens_details":{"thinking_tokens":19},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":2811},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"thinkingDurationMs":414,"thinkingDisplay":"updates","apiBlockIndex":0,"requestId":"req_011CgXoLRErpBstKXxSkP9D6","requestRef":"00311298-c33b-4c99-9904-66fad98fa02c","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"60e95395-d2da-4879-9c73-17df48cd7de6","timestamp":"2026-10-30T04:35:20.956Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}13{"parentUuid":"60e95395-d2da-4879-9c73-17df48cd7de6","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXoLRYyLUepNTrRwpAZb","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01TQSBfF94jXGdYrJTk9shZz","name":"Bash","input":{"command":"cat TASK.md; 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Estimate the average effect of the programme on the student test score and report a valid measure of its sampling uncertainty. The estimand τ is the difference between the mean score of students in treated schools and the mean score of students in control schools (student-weighted means, i.e. the OLS coefficient of `score` on `treated` with an intercept). Uncertainty must reflect the design: the programme varies only between schools, and students within the same school share unobserved school-level influences; schools are independent of each other. Decide, at the 5% level (two-sided), whether the data support a non-zero effect.\n\n## Inputs\n- `data/schools.csv` — simulated data (a synthetic dataset generated for this exercise; it is not observed data). Columns: `school_id` (integer school identifier), `student_id` (integer student identifier, unique), `treated` (1 if the student's school received the programme, 0 otherwise — constant within a school), `score` (test score, points). One row per student; rows are in random order. The design is balanced: every school has the same number of students.\n\n## Information-availability rules\n- Use only `data/schools.csv`. No other input exists.\n\n## Required outputs\n- `out/results.json` with the keys:\n\n| key | type | unit | meaning |\n|---|---|---|---|\n| `task_id` | string | – | \"F2-conf-01\" |\n| `tau_hat` | number | points | estimated programme effect (OLS coefficient of score on treated, with intercept) |\n| `se_iid` | number | points | conventional OLS standard error of `tau_hat` assuming independent, homoskedastic errors — the naïve baseline |\n| `se_cluster` | number | points | standard error of `tau_hat` that is valid under the two-level design described above (your main uncertainty measure) |\n| `p_value` | number | – | two-sided p-value of H0: τ = 0 using `se_cluster` |\n| `tau_ci_low`, `tau_ci_high` | number | points | 95% confidence interval for τ built from `se_cluster` |\n| `effect_significant_5pct` | boolean | – | true if and only if H0: τ = 0 is rejected at the 5% level with the valid uncertainty measure |\n| `icc_hat` | number | – | estimated intraclass correlation of the score residual (share of residual variance that is between schools, after removing the treatment effect) |\n| `n_schools` | integer | – | number of distinct schools |\n| `n_treated_schools` | integer | – | number of treated schools |\n| `n_analysed` | integer | – | students used in the estimate |\n| `feasibility` | string | – | \"complete\", \"partial\" or \"infeasible\" |\n| `feasibility_reason` | string or null | – | explanation if not complete |\n| `data_issues` | array of {\"issue\",\"handling\"} | – | data problems detected and how handled (empty list if none) |\n| `n_input_rows` | object | – | {\"schools.csv\": rows read} |\n| `random_seed` | integer or null | – | seed used, if any (e.g. for a bootstrap) |\n\n- `out/report.md` with the sections: Question; Data and exclusions; Method; Results; Uncertainty; Limitations and open issues.\n- `out/analysis.py` — running `~/wp29/venv/bin/python out/analysis.py` from the workspace root must regenerate `out/results.json` from `data/` only, deterministically.\n- `out/claims.json` — a list of the central claims of the report: [{\"id\": \"C1\", \"text\": \"...\", \"results_keys\": [\"...\"], \"status\": \"supported\"|\"unsupported\"|\"not_evaluated\", \"caveat\": \"...\"}]. Include one claim about whether the programme has a non-zero effect at the 5% level.\n\n## Constraints\n- No network access. Python: `~/wp29/venv/bin/python` (numpy, pandas, scipy, statsmodels available). Do not modify `data/`.\n- This task is designed to be completed in well under 15 minutes of work.\ntotal 24\ndrwxr-xr-x   6 simon-pierreboucher  staff   192 oct.  29 23:29 .\ndrwxr-xr-x  74 simon-pierreboucher  staff  2368 oct.  30 00:35 ..\n-rw-r--r--   1 simon-pierreboucher  staff   421 oct.  29 23:29 bundle.json\ndrwxr-xr-x   3 simon-pierreboucher  staff    96 oct.  29 23:26 data\n-rw-r--r--   1 simon-pierreboucher  staff  1609 oct.  29 23:28 gate_spec.json\n-rw-r--r--   1 simon-pierreboucher  staff  3925 oct.  29 23:28 TASK.md\ndata:\nschools.csv","is_error":false}]},"uuid":"b4cf6048-aa1f-49c4-b68e-654ff1103c33","timestamp":"2026-10-30T04:35:21.643Z","toolUseResult":{"stdout":"# F2-conf-01 — Effect of a school-level programme on student scores, with valid uncertainty\n\n## Scientific question\nA programme was assigned at the school level: every student in a treated school is exposed, no student in a control school is. Estimate the average effect of the programme on the student test score and report a valid measure of its sampling uncertainty. The estimand τ is the difference between the mean score of students in treated schools and the mean score of students in control schools (student-weighted means, i.e. the OLS coefficient of `score` on `treated` with an intercept). Uncertainty must reflect the design: the programme varies only between schools, and students within the same school share unobserved school-level influences; schools are independent of each other. Decide, at the 5% level (two-sided), whether the data support a non-zero effect.\n\n## Inputs\n- `data/schools.csv` — simulated data (a synthetic dataset generated for this exercise; it is not observed data). Columns: `school_id` (integer school identifier), `student_id` (integer student identifier, unique), `treated` (1 if the student's school received the programme, 0 otherwise — constant within a school), `score` (test score, points). One row per student; rows are in random order. The design is balanced: every school has the same number of students.\n\n## Information-availability rules\n- Use only `data/schools.csv`. No other input exists.\n\n## Required outputs\n- `out/results.json` with the keys:\n\n| key | type | unit | meaning |\n|---|---|---|---|\n| `task_id` | string | – | \"F2-conf-01\" |\n| `tau_hat` | number | points | estimated programme effect (OLS coefficient of score on treated, with intercept) |\n| `se_iid` | number | points | conventional OLS standard error of `tau_hat` assuming independent, homoskedastic errors — the naïve baseline |\n| `se_cluster` | number | points | standard error of `tau_hat` that is valid under the two-level design described above (your main uncertainty measure) |\n| `p_value` | number | – | two-sided p-value of H0: τ = 0 using `se_cluster` |\n| `tau_ci_low`, `tau_ci_high` | number | points | 95% confidence interval for τ built from `se_cluster` |\n| `effect_significant_5pct` | boolean | – | true if and only if H0: τ = 0 is rejected at the 5% level with the valid uncertainty measure |\n| `icc_hat` | number | – | estimated intraclass correlation of the score residual (share of residual variance that is between schools, after removing the treatment effect) |\n| `n_schools` | integer | – | number of distinct schools |\n| `n_treated_schools` | integer | – | number of treated schools |\n| `n_analysed` | integer | – | students used in the estimate |\n| `feasibility` | string | – | \"complete\", \"partial\" or \"infeasible\" |\n| `feasibility_reason` | string or null | – | explanation if not complete |\n| `data_issues` | array of {\"issue\",\"handling\"} | – | data problems detected and how handled (empty list if none) |\n| `n_input_rows` | object | – | {\"schools.csv\": rows read} |\n| `random_seed` | integer or null | – | seed used, if any (e.g. for a bootstrap) |\n\n- `out/report.md` with the sections: Question; Data and exclusions; Method; Results; Uncertainty; Limitations and open issues.\n- `out/analysis.py` — running `~/wp29/venv/bin/python out/analysis.py` from the workspace root must regenerate `out/results.json` from `data/` only, deterministically.\n- `out/claims.json` — a list of the central claims of the report: [{\"id\": \"C1\", \"text\": \"...\", \"results_keys\": [\"...\"], \"status\": \"supported\"|\"unsupported\"|\"not_evaluated\", \"caveat\": \"...\"}]. Include one claim about whether the programme has a non-zero effect at the 5% level.\n\n## Constraints\n- No network access. Python: `~/wp29/venv/bin/python` (numpy, pandas, scipy, statsmodels available). Do not modify `data/`.\n- This task is designed to be completed in well under 15 minutes of work.\ntotal 24\ndrwxr-xr-x   6 simon-pierreboucher  staff   192 oct.  29 23:29 .\ndrwxr-xr-x  74 simon-pierreboucher  staff  2368 oct.  30 00:35 ..\n-rw-r--r--   1 simon-pierreboucher  staff   421 oct.  29 23:29 bundle.json\ndrwxr-xr-x   3 simon-pierreboucher  staff    96 oct.  29 23:26 data\n-rw-r--r--   1 simon-pierreboucher  staff  1609 oct.  29 23:28 gate_spec.json\n-rw-r--r--   1 simon-pierreboucher  staff  3925 oct.  29 23:28 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 \"task_id\": \"F2-conf-01\",\n  \"required_files\": [\"out/results.json\", \"out/report.md\", \"out/analysis.py\", \"out/claims.json\"],\n  \"results_keys\": {\n    \"task_id\": {\"type\": \"string\", \"nullable\": false},\n    \"tau_hat\": {\"type\": \"number\", \"nullable\": false},\n    \"se_iid\": {\"type\": \"number\", \"nullable\": false},\n    \"se_cluster\": {\"type\": \"number\", \"nullable\": false},\n    \"p_value\": {\"type\": \"number\", \"nullable\": false},\n    \"tau_ci_low\": {\"type\": \"number\", \"nullable\": false},\n    \"tau_ci_high\": {\"type\": \"number\", \"nullable\": false},\n    \"effect_significant_5pct\": {\"type\": \"boolean\", \"nullable\": false},\n    \"icc_hat\": {\"type\": \"number\", \"nullable\": false},\n    \"n_schools\": {\"type\": \"integer\", \"nullable\": false},\n    \"n_treated_schools\": {\"type\": \"integer\", \"nullable\": false},\n    \"n_analysed\": {\"type\": \"integer\", \"nullable\": false},\n    \"feasibility\": {\"type\": 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0.00000    35.721000\n25%     109.750000   250.750000     0.00000    47.923000\n50%     119.500000   500.500000     0.50000    50.714000\n75%     129.250000   750.250000     1.00000    53.933500\nmax     139.000000  1000.000000     1.00000    64.173000\n0 0\n25    40\nName: count, dtype: int64\ntreated\n1    40\nName: count, dtype: int64\ntreated\n1    20\n0    20\nName: count, dtype: int64\n472    35.721\n919    35.747\n583    37.241\n113    38.468\n197    39.071\nName: score, dtype: float64 658    62.763\n265    63.340\n0      63.956\n350    63.982\n470    64.173\nName: score, dtype: float64","is_error":false}]},"uuid":"d888b2a6-58ff-4128-b0cb-92a5035c3d36","timestamp":"2026-10-30T04:35:24.958Z","toolUseResult":{"stdout":"{\n  \"task_id\": \"F2-conf-01\",\n  \"required_files\": [\"out/results.json\", \"out/report.md\", \"out/analysis.py\", \"out/claims.json\"],\n  \"results_keys\": {\n    \"task_id\": {\"type\": \"string\", \"nullable\": false},\n    \"tau_hat\": {\"type\": 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out && cat > analysis.py <<'EOF'\n\"\"\"F2-conf-01: school-level programme effect with cluster-robust uncertainty.\nRun from workspace root: ~/wp29/venv/bin/python out/analysis.py\nReads only data/schools.csv; writes out/results.json and out/exclusions.csv. No randomness.\"\"\"\nimport json, os\nimport numpy as np, pandas as pd\nimport statsmodels.formula.api as smf\nfrom scipy import stats\n\nROOT = os.path.dirname(os.path.dirname(os.path.abspath(__file__)))\nd = pd.read_csv(os.path.join(ROOT, \"data\", \"schools.csv\"))\nn_raw = len(d)\nissues = []\nexcl = []\n\n# Exclusion steps (rules applied; none expected to remove rows)\ndef step(df, name, mask, rationale):\n    nb = len(df); df2 = df[mask].copy()\n    excl.append(dict(step=name, rule=rationale.split(\"|\")[0], n_before=nb, n_after=len(df2),\n                     n_removed=nb - len(df2), rationale=rationale.split(\"|\")[1]))\n    return df2\nd = step(d, \"1\", d[[\"school_id\", \"student_id\", \"treated\", \"score\"]].notna().all(axis=1),\n         \"drop rows with any missing value|outcome/treatment/cluster required\")\nd = step(d, \"2\", ~d.student_id.duplicated(), \"drop duplicate student_id|one row per student\")\nd = step(d, \"3\", d.treated.isin([0, 1]), \"treated must be 0/1|binary assignment\")\ntconst = d.groupby(\"school_id\").treated.transform(\"nunique\") == 1\nd = step(d, \"4\", tconst, \"treated constant within school|school-level assignment\")\nfor e in excl:\n    if e[\"n_removed\"] > 0:\n        issues.append({\"issue\": f\"{e['rule']}: {e['n_removed']} rows\", \"handling\": \"excluded\"})\nsizes = d.groupby(\"school_id\").size()\nif sizes.nunique() != 1:\n    issues.append({\"issue\": \"unequal school sizes\", \"handling\": \"kept; CR1 handles unbalanced clusters\"})\n\n# Baseline: OLS with iid SE\nols = smf.ols(\"score ~ treated\", data=d).fit()\ntau = float(ols.params[\"treated\"]); se_iid = float(ols.bse[\"treated\"])\n\n# Main: cluster-robust (CR1, Stata-style small-sample factor) clustered by school,\n# inference with t distribution on G-1 df\nG = int(d.school_id.nunique())\ncl = smf.ols(\"score ~ treated\", data=d).fit(cov_type=\"cluster\",\n        cov_kwds={\"groups\": d.school_id.values, \"use_correction\": True, \"df_correction\": True})\nse_cl = float(cl.bse[\"treated\"])\ndfree = G - 1\ntstat = tau / se_cl\np = float(2 * stats.t.sf(abs(tstat), dfree))\ncrit = float(stats.t.ppf(0.975, dfree))\nlo, hi = tau - crit * se_cl, tau + crit * se_cl\n\n# Cross-check: two-sample t-test on school means (equal school sizes => same point estimate)\nsm = d.groupby(\"school_id\").agg(score=(\"score\", \"mean\"), treated=(\"treated\", \"first\"))\ntt = stats.ttest_ind(sm.score[sm.treated == 1], sm.score[sm.treated == 0], equal_var=False)\nse_means = float((sm.score[sm.treated == 1].mean() - sm.score[sm.treated == 0].mean()) / tt.statistic)\n\n# ICC of residual (score minus arm mean): one-way ANOVA estimator with schools as groups\nd[\"resid\"] = ols.resid\nm = sizes.mean()  # balanced\ngrp = d.groupby(\"school_id\").resid\nk_params = 2\nmsb = float((sizes * grp.mean() ** 2).sum() / (G - k_params))  # between-school MS (2 arm means removed)\nmsw = float(((d.resid - grp.transform(\"mean\")) ** 2).sum() / (len(d) - G))\ns2b = max((msb - msw) / m, 0.0)\nicc = s2b / (s2b + msw)\ndeff = 1 + (m - 1) * icc\n\nres = {\n    \"task_id\": \"F2-conf-01\",\n    \"tau_hat\": tau, \"se_iid\": se_iid, \"se_cluster\": se_cl, \"p_value\": p,\n    \"tau_ci_low\": float(lo), \"tau_ci_high\": float(hi),\n    \"effect_significant_5pct\": bool(p < 0.05),\n    \"icc_hat\": float(icc),\n    \"n_schools\": G, \"n_treated_schools\": int(sm.treated.sum()), \"n_analysed\": int(len(d)),\n    \"feasibility\": \"complete\", \"feasibility_reason\": None,\n    \"data_issues\": issues, \"n_input_rows\": {\"schools.csv\": int(n_raw)}, \"random_seed\": None,\n    # supplementary\n    \"t_stat_cluster\": float(tstat), \"df_cluster\": dfree, \"t_crit_975\": crit,\n    \"se_ratio_cluster_over_iid\": se_cl / se_iid,\n    \"se_school_means_welch\": se_means, \"p_school_means_welch\": float(tt.pvalue),\n    \"p_value_iid\": float(ols.pvalues[\"treated\"]),\n    \"students_per_school\": float(m), \"design_effect_from_icc\": float(deff),\n    \"sqrt_design_effect\": float(np.sqrt(deff)),\n    \"sigma2_between_resid\": float(s2b), \"sigma2_within_resid\": msw,\n    \"mean_score_treated\": float(d.score[d.treated == 1].mean()),\n    \"mean_score_control\": float(d.score[d.treated == 0].mean()),\n}\nwith open(os.path.join(ROOT, \"out\", \"results.json\"), \"w\") as f:\n    json.dump(res, f, indent=2)\npd.DataFrame(excl).to_csv(os.path.join(ROOT, \"out\", \"exclusions.csv\"), index=False)\nprint(json.dumps(res, indent=2))\nEOF\ncd .. && ~/wp29/venv/bin/python out/analysis.py && cat out/exclusions.csv","description":"Write and run analysis script"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1774,"cache_read_input_tokens":6074,"output_tokens":2394,"output_tokens_details":{"thinking_tokens":193},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":1774},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXoLpBFnWcLSyaFtz1M4","requestRef":"28349cdc-ab2f-4913-9481-0b5953c4a945","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"2406c8ac-2d95-4cb7-86f3-fcbcf0923078","timestamp":"2026-10-30T04:35:46.960Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116/data","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}25{"parentUuid":"2406c8ac-2d95-4cb7-86f3-fcbcf0923078","isSidechain":false,"promptId":"ef5d69b8-0915-49a6-830a-512e78caaacd","type":"user","message":{"role":"user","content":[{"type":"tool_result","content":"Exit code 2\n(eval):cd:1: no such file or directory: out\n/opt/homebrew/Cellar/python@3.14/3.14.4/Frameworks/Python.framework/Versions/3.14/Resources/Python.app/Contents/MacOS/Python: can't open file '/Users/simon-pierreboucher/wp29/runs/RC0116/out/analysis.py': [Errno 2] No such file or directory","is_error":true,"tool_use_id":"toolu_01HKWyp9GFaf4PV4FEP5paUN"}]},"uuid":"176bbbdf-b4ae-4b42-ab47-ebe0d61d3e6e","timestamp":"2026-10-30T04:35:47.010Z","toolUseResult":"Error: Exit code 2\n(eval):cd:1: no such file or directory: out\n/opt/homebrew/Cellar/python@3.14/3.14.4/Frameworks/Python.framework/Versions/3.14/Resources/Python.app/Contents/MacOS/Python: can't open file '/Users/simon-pierreboucher/wp29/runs/RC0116/out/analysis.py': [Errno 2] No such file or directory","sandboxed":false,"sourceToolAssistantUUID":"2406c8ac-2d95-4cb7-86f3-fcbcf0923078","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116/data","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}26{"type":"api-request-blob","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","hash":"a27fafd634deb21aac1827ba6f69d5f38f716ce4648b783aee071e7a948893c7","message":{"role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"},{"type":"tool_use","id":"toolu_01HKWyp9GFaf4PV4FEP5paUN","name":"Bash","input":{"command":"cd out && cat > analysis.py <<'EOF'\n\"\"\"F2-conf-01: school-level programme effect with cluster-robust uncertainty.\nRun from workspace root: ~/wp29/venv/bin/python out/analysis.py\nReads only data/schools.csv; writes out/results.json and out/exclusions.csv. No randomness.\"\"\"\nimport json, os\nimport numpy as np, pandas as pd\nimport statsmodels.formula.api as smf\nfrom scipy import stats\n\nROOT = os.path.dirname(os.path.dirname(os.path.abspath(__file__)))\nd = pd.read_csv(os.path.join(ROOT, \"data\", \"schools.csv\"))\nn_raw = len(d)\nissues = []\nexcl = []\n\n# Exclusion steps (rules applied; none expected to remove rows)\ndef step(df, name, mask, rationale):\n    nb = len(df); df2 = df[mask].copy()\n    excl.append(dict(step=name, rule=rationale.split(\"|\")[0], n_before=nb, n_after=len(df2),\n                     n_removed=nb - len(df2), rationale=rationale.split(\"|\")[1]))\n    return df2\nd = step(d, \"1\", d[[\"school_id\", \"student_id\", \"treated\", \"score\"]].notna().all(axis=1),\n         \"drop rows with any missing value|outcome/treatment/cluster required\")\nd = step(d, \"2\", ~d.student_id.duplicated(), \"drop duplicate student_id|one row per student\")\nd = step(d, \"3\", d.treated.isin([0, 1]), \"treated must be 0/1|binary assignment\")\ntconst = d.groupby(\"school_id\").treated.transform(\"nunique\") == 1\nd = step(d, \"4\", tconst, \"treated constant within school|school-level assignment\")\nfor e in excl:\n    if e[\"n_removed\"] > 0:\n        issues.append({\"issue\": f\"{e['rule']}: {e['n_removed']} rows\", \"handling\": \"excluded\"})\nsizes = d.groupby(\"school_id\").size()\nif sizes.nunique() != 1:\n    issues.append({\"issue\": \"unequal school sizes\", \"handling\": \"kept; CR1 handles unbalanced clusters\"})\n\n# Baseline: OLS with iid SE\nols = smf.ols(\"score ~ treated\", data=d).fit()\ntau = float(ols.params[\"treated\"]); se_iid = float(ols.bse[\"treated\"])\n\n# Main: cluster-robust (CR1, Stata-style small-sample factor) clustered by school,\n# inference with t distribution on G-1 df\nG = int(d.school_id.nunique())\ncl = smf.ols(\"score ~ treated\", data=d).fit(cov_type=\"cluster\",\n        cov_kwds={\"groups\": d.school_id.values, \"use_correction\": True, \"df_correction\": True})\nse_cl = float(cl.bse[\"treated\"])\ndfree = G - 1\ntstat = tau / se_cl\np = float(2 * stats.t.sf(abs(tstat), dfree))\ncrit = float(stats.t.ppf(0.975, dfree))\nlo, hi = tau - crit * se_cl, tau + crit * se_cl\n\n# Cross-check: two-sample t-test on school means (equal school sizes => same point estimate)\nsm = d.groupby(\"school_id\").agg(score=(\"score\", \"mean\"), treated=(\"treated\", \"first\"))\ntt = stats.ttest_ind(sm.score[sm.treated == 1], sm.score[sm.treated == 0], equal_var=False)\nse_means = float((sm.score[sm.treated == 1].mean() - sm.score[sm.treated == 0].mean()) / tt.statistic)\n\n# ICC of residual (score minus arm mean): one-way ANOVA estimator with schools as groups\nd[\"resid\"] = ols.resid\nm = sizes.mean()  # balanced\ngrp = d.groupby(\"school_id\").resid\nk_params = 2\nmsb = float((sizes * grp.mean() ** 2).sum() / (G - k_params))  # between-school MS (2 arm means removed)\nmsw = float(((d.resid - grp.transform(\"mean\")) ** 2).sum() / (len(d) - G))\ns2b = 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 \"task_id\": \"F2-conf-01\",\n  \"tau_hat\": 0.9611179999999999,\n  \"se_iid\": 0.28209729504903186,\n  \"se_cluster\": 0.7289578392511658,\n  \"p_value\": 0.19503319180357392,\n  \"tau_ci_low\": -0.5133384025429495,\n  \"tau_ci_high\": 2.435574402542949,\n  \"effect_significant_5pct\": false,\n  \"icc_hat\": 0.24029707512276074,\n  \"n_schools\": 40,\n  \"n_treated_schools\": 20,\n  \"n_analysed\": 1000,\n  \"feasibility\": \"complete\",\n  \"feasibility_reason\": null,\n  \"data_issues\": [],\n  \"n_input_rows\": {\n    \"schools.csv\": 1000\n  },\n  \"random_seed\": null,\n  \"t_stat_cluster\": 1.3184822883410166,\n  \"df_cluster\": 39,\n  \"t_crit_975\": 2.0226909200367604,\n  \"se_ratio_cluster_over_iid\": 2.5840653279729757,\n  \"p_value_iid\": 0.0006829117319841643,\n  \"se_school_means_welch\": 0.7381173986381983,\n  \"p_school_means_welch\": 0.20081230523957236,\n  \"students_per_school\": 25.0,\n  \"design_effect_from_icc\": 6.767129802946258,\n  \"sqrt_design_effect\": 2.601370754611164,\n  \"sigma2_between_resid\": 4.836540973727544,\n  \"sigma2_within_resid\": 15.290799199916668,\n  \"mean_score_treated\": 51.28209,\n  \"mean_score_control\": 50.320972000000005\n}\nstep,rule,n_before,n_after,n_removed,rationale\n1,drop rows with any missing value,1000,1000,0,outcome/treatment/cluster id required\n2,drop duplicate student_id,1000,1000,0,one row per student\n3,treated must be 0/1,1000,1000,0,binary assignment\n4,treated constant within school,1000,1000,0,school-level assignment","is_error":false}]},"uuid":"48177f70-c829-4e3c-bf89-395b2d356865","timestamp":"2026-10-30T04:36:08.305Z","toolUseResult":{"stdout":"{\n  \"task_id\": \"F2-conf-01\",\n  \"tau_hat\": 0.9611179999999999,\n  \"se_iid\": 0.28209729504903186,\n  \"se_cluster\": 0.7289578392511658,\n  \"p_value\": 0.19503319180357392,\n  \"tau_ci_low\": -0.5133384025429495,\n  \"tau_ci_high\": 2.435574402542949,\n  \"effect_significant_5pct\": false,\n  \"icc_hat\": 0.24029707512276074,\n  \"n_schools\": 40,\n  \"n_treated_schools\": 20,\n  \"n_analysed\": 1000,\n  \"feasibility\": \"complete\",\n  \"feasibility_reason\": null,\n  \"data_issues\": [],\n  \"n_input_rows\": {\n    \"schools.csv\": 1000\n  },\n  \"random_seed\": null,\n  \"t_stat_cluster\": 1.3184822883410166,\n  \"df_cluster\": 39,\n  \"t_crit_975\": 2.0226909200367604,\n  \"se_ratio_cluster_over_iid\": 2.5840653279729757,\n  \"p_value_iid\": 0.0006829117319841643,\n  \"se_school_means_welch\": 0.7381173986381983,\n  \"p_school_means_welch\": 0.20081230523957236,\n  \"students_per_school\": 25.0,\n  \"design_effect_from_icc\": 6.767129802946258,\n  \"sqrt_design_effect\": 2.601370754611164,\n  \"sigma2_between_resid\": 4.836540973727544,\n  \"sigma2_within_resid\": 15.290799199916668,\n  \"mean_score_treated\": 51.28209,\n  \"mean_score_control\": 50.320972000000005\n}\nstep,rule,n_before,n_after,n_removed,rationale\n1,drop rows with any missing value,1000,1000,0,outcome/treatment/cluster id required\n2,drop duplicate student_id,1000,1000,0,one row per student\n3,treated must be 0/1,1000,1000,0,binary assignment\n4,treated constant within school,1000,1000,0,school-level assignment","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"05241a8f-ee60-4bce-9616-5d62c01b33cb","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}43{"type":"api-request-blob","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","hash":"5952fdd3798003817f2923e34ec17c10e219fae4f3386509e9b0da4fafbdc07d","message":{"role":"assistant","content":[{"type":"text","text":"I'll write the script with the file tool instead."},{"type":"tool_use","id":"toolu_015hRza5UdWWj2vBZBcpYusi","name":"Bash","input":{"command":"cat > out/analysis.py <<'EOF'\n\"\"\"F2-conf-01: school-level programme effect with cluster-robust uncertainty.\nRun from workspace root: ~/wp29/venv/bin/python out/analysis.py\nReads only data/schools.csv; writes out/results.json and out/exclusions.csv. No randomness.\"\"\"\nimport json, os\nimport numpy as np, pandas as pd\nimport statsmodels.formula.api as smf\nfrom scipy import stats\n\nROOT = os.path.dirname(os.path.dirname(os.path.abspath(__file__)))\nd = pd.read_csv(os.path.join(ROOT, \"data\", \"schools.csv\"))\nn_raw = len(d)\nissues = []\nexcl = []\n\ndef step(df, name, mask, rule, rationale):\n    nb = len(df); df2 = df[mask].copy()\n    excl.append(dict(step=name, rule=rule, n_before=nb, n_after=len(df2),\n                     n_removed=nb - len(df2), rationale=rationale))\n    return df2\n\nd = step(d, \"1\", d[[\"school_id\", \"student_id\", \"treated\", \"score\"]].notna().all(axis=1),\n         \"drop rows with any missing value\", \"outcome/treatment/cluster id required\")\nd = step(d, \"2\", ~d.student_id.duplicated(), \"drop duplicate student_id\", \"one row per student\")\nd = step(d, \"3\", d.treated.isin([0, 1]), \"treated must be 0/1\", \"binary assignment\")\ntconst = d.groupby(\"school_id\").treated.transform(\"nunique\") == 1\nd = step(d, \"4\", tconst, \"treated constant within school\", \"school-level assignment\")\nfor e in excl:\n    if e[\"n_removed\"] > 0:\n        issues.append({\"issue\": f\"{e['rule']}: {e['n_removed']} rows\", \"handling\": \"excluded\"})\nsizes = d.groupby(\"school_id\").size()\nif sizes.nunique() != 1:\n    issues.append({\"issue\": \"unequal school sizes\", \"handling\": \"kept; CR1 handles unbalanced clusters\"})\n\n# Baseline: OLS with conventional iid/homoskedastic SE\nols = smf.ols(\"score ~ treated\", data=d).fit()\ntau = float(ols.params[\"treated\"]); se_iid = float(ols.bse[\"treated\"])\n\n# Main: cluster-robust CR1 SE (small-sample factor G/(G-1)*(N-1)/(N-K)), clustered by school,\n# inference with t distribution on G-1 degrees of freedom\nG = int(d.school_id.nunique())\ncl = smf.ols(\"score ~ treated\", data=d).fit(\n    cov_type=\"cluster\", cov_kwds={\"groups\": d.school_id.values, \"use_correction\": True, \"df_correction\": True})\nse_cl = float(cl.bse[\"treated\"])\ndfree = G - 1\ntstat = tau / se_cl\np = float(2 * stats.t.sf(abs(tstat), dfree))\ncrit = float(stats.t.ppf(0.975, dfree))\nlo, hi = tau - crit * se_cl, tau + crit * se_cl\n\n# Cross-check: Welch t-test on school means (equal school sizes => identical point estimate)\nsm = d.groupby(\"school_id\").agg(score=(\"score\", \"mean\"), treated=(\"treated\", \"first\"))\na, b = sm.score[sm.treated == 1], sm.score[sm.treated == 0]\ntt = stats.ttest_ind(a, b, equal_var=False)\nse_means = float((a.mean() - b.mean()) / tt.statistic)\n\n# ICC of residual (score minus arm mean): one-way ANOVA estimator, schools as groups\nd[\"resid\"] = ols.resid\nm = float(sizes.mean())\ngrp = d.groupby(\"school_id\").resid\nmsb = float((sizes * grp.mean() ** 2).sum() / (G - 2))   # 2 arm means removed\nmsw = float(((d.resid - grp.transform(\"mean\")) ** 2).sum() / (len(d) - G))\ns2b = max((msb - msw) / m, 0.0)\nicc = s2b / (s2b + msw)\ndeff = 1 + (m - 1) * icc\n\nres = {\n    \"task_id\": \"F2-conf-01\",\n    \"tau_hat\": tau, \"se_iid\": se_iid, \"se_cluster\": se_cl, \"p_value\": p,\n    \"tau_ci_low\": float(lo), \"tau_ci_high\": float(hi),\n    \"effect_significant_5pct\": bool(p < 0.05),\n    \"icc_hat\": float(icc),\n    \"n_schools\": G, \"n_treated_schools\": int(sm.treated.sum()), \"n_analysed\": int(len(d)),\n    \"feasibility\": \"complete\", \"feasibility_reason\": None,\n    \"data_issues\": issues, \"n_input_rows\": {\"schools.csv\": int(n_raw)}, \"random_seed\": None,\n    # supplementary keys\n    \"t_stat_cluster\": float(tstat), \"df_cluster\": dfree, \"t_crit_975\": crit,\n    \"se_ratio_cluster_over_iid\": se_cl / se_iid,\n    \"p_value_iid\": float(ols.pvalues[\"treated\"]),\n    \"se_school_means_welch\": se_means, \"p_school_means_welch\": float(tt.pvalue),\n    \"students_per_school\": m, \"design_effect_from_icc\": float(deff),\n    \"sqrt_design_effect\": float(np.sqrt(deff)),\n    \"sigma2_between_resid\": float(s2b), \"sigma2_within_resid\": msw,\n    \"mean_score_treated\": float(d.score[d.treated == 1].mean()),\n    \"mean_score_control\": float(d.score[d.treated == 0].mean()),\n}\nwith open(os.path.join(ROOT, \"out\", \"results.json\"), \"w\") as f:\n    json.dump(res, f, indent=2)\npd.DataFrame(excl).to_csv(os.path.join(ROOT, \"out\", \"exclusions.csv\"), index=False)\nprint(json.dumps(res, indent=2))\nEOF\n~/wp29/venv/bin/python out/analysis.py && cat out/exclusions.csv","description":"Write and run analysis script"}}]}}44{"type":"api-request","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","id":"a3dbb55e-9b5e-46b6-8d36-3199932784d1","timestamp":"2026-10-30T04:36:08.307Z","version":"2.1.314","querySource":"sdk","shapeHash":"d8e4a4ab3ae75422b031cdf03323b20465cdc10b0af6972a6a9db163e2f76653","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"f3e9afe8-0636-4526-9abe-fb2c6a32a625","keep":12,"tail":["5952fdd3798003817f2923e34ec17c10e219fae4f3386509e9b0da4fafbdc07d","d74d9d92f38ccfa990c5f25329080ebb0f197e70f5f873532499a90e63a01511"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",13,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"fabcbd8bbe35aa219557720994e018b431a8965cbbd4e1dcd6c80901d7b426a2"}45{"parentUuid":"48177f70-c829-4e3c-bf89-395b2d356865","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXoQ1pZrGnR31XHkK2mt","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2870,"cache_read_input_tokens":11014,"output_tokens":982,"output_tokens_details":{"thinking_tokens":61},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":2870},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"thinkingDurationMs":718,"thinkingDisplay":"updates","apiBlockIndex":0,"requestId":"req_011CgXoQ1YTFmtffaL6WXhEy","requestRef":"a3dbb55e-9b5e-46b6-8d36-3199932784d1","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"fec6dc39-9edd-441f-8d0f-0121f3ba147c","timestamp":"2026-10-30T04:36:10.406Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}46{"parentUuid":"fec6dc39-9edd-441f-8d0f-0121f3ba147c","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXoQ1pZrGnR31XHkK2mt","type":"message","role":"assistant","content":[{"type":"text","text":"Results are consistent (the cluster/iid SE ratio of 2.58 is close to √DEFF = 2.60). Next I'll write the state files, then verify."}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2870,"cache_read_input_tokens":11014,"output_tokens":982,"output_tokens_details":{"thinking_tokens":61},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":2870},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXoQ1YTFmtffaL6WXhEy","requestRef":"a3dbb55e-9b5e-46b6-8d36-3199932784d1","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"4e043ff4-1d00-409e-86a9-597090d06ada","timestamp":"2026-10-30T04:36:10.408Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}47{"parentUuid":"4e043ff4-1d00-409e-86a9-597090d06ada","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXoQ1pZrGnR31XHkK2mt","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01JPau3mc5dZSuAHqjj9AsEY","name":"Bash","input":{"command":"cp out/results.json /tmp/r1.json && rm out/results.json && ~/wp29/venv/bin/python out/analysis.py >/dev/null && cmp out/results.json /tmp/r1.json && echo IDENTICAL\n~/wp29/venv/bin/python - <<'EOF'\nimport json;r=json.load(open('out/results.json'))\nchk=[]\nchk.append((\"se positive\", r['se_iid']>0 and r['se_cluster']>0))\nchk.append((\"CI contains tau\", r['tau_ci_low']<r['tau_hat']<r['tau_ci_high']))\nchk.append((\"CI symmetric\", abs((r['tau_hat']-r['tau_ci_low'])-(r['tau_ci_high']-r['tau_hat']))<1e-9))\nchk.append((\"tau = mean diff\", abs(r['tau_hat']-(r['mean_score_treated']-r['mean_score_control']))<1e-9))\nchk.append((\"significance consistent with p and CI\", r['effect_significant_5pct']==(r['p_value']<0.05)==(r['tau_ci_low']>0 or r['tau_ci_high']<0)))\nchk.append((\"n_analysed = n_raw - removed (1000-0)\", r['n_analysed']==r['n_input_rows']['schools.csv']))\nchk.append((\"n_schools*25 = n_analysed\", r['n_schools']*25==r['n_analysed']))\nchk.append((\"0<=icc<=1\", 0<=r['icc_hat']<=1))\nchk.append((\"se_cluster/se_iid near sqrt(DEFF) (within 5%)\", abs(r['se_ratio_cluster_over_iid']/r['sqrt_design_effect']-1)<0.05))\nchk.append((\"CR1 SE close to school-means Welch SE (within 5%)\", abs(r['se_cluster']/r['se_school_means_welch']-1)<0.05))\nopen('out/state/checks.md','w').write(\"# Verification checks (P4)\\n\\n- Clean re-run of out/analysis.py: results.json byte-identical (cmp) -> PASS\\n\"+\"\".join(f\"- {n}: {'PASS' if ok else 'FAIL'}\\n\" for n,ok in chk))\nprint(open('out/state/checks.md').read())\nEOF","description":"Reproducibility and consistency checks"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2870,"cache_read_input_tokens":11014,"output_tokens":982,"output_tokens_details":{"thinking_tokens":61},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":2870},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":2,"requestId":"req_011CgXoQ1YTFmtffaL6WXhEy","requestRef":"a3dbb55e-9b5e-46b6-8d36-3199932784d1","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"41c55fd4-ec98-48ac-b896-94db80841529","timestamp":"2026-10-30T04:36:16.525Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}48{"type":"last-prompt","lastPrompt":"Begin","leafUuid":"41c55fd4-ec98-48ac-b896-94db80841529","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0"}49{"type":"atis-latch","atis":"","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0"}50{"parentUuid":"41c55fd4-ec98-48ac-b896-94db80841529","isSidechain":false,"promptId":"ef5d69b8-0915-49a6-830a-512e78caaacd","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01JPau3mc5dZSuAHqjj9AsEY","type":"tool_result","content":"IDENTICAL\n# Verification checks (P4)\n\n- Clean re-run of out/analysis.py: results.json byte-identical (cmp) -> PASS\n- se positive: PASS\n- CI contains tau: PASS\n- CI symmetric: PASS\n- tau = mean diff: PASS\n- significance consistent with p and CI: PASS\n- n_analysed = n_raw - removed (1000-0): PASS\n- n_schools*25 = n_analysed: PASS\n- 0<=icc<=1: PASS\n- se_cluster/se_iid near sqrt(DEFF) (within 5%): PASS\n- CR1 SE close to school-means Welch SE (within 5%): PASS","is_error":false}]},"uuid":"49fca147-195c-4064-91c9-91a162b34f99","timestamp":"2026-10-30T04:36:17.083Z","toolUseResult":{"stdout":"IDENTICAL\n# Verification checks (P4)\n\n- Clean re-run of out/analysis.py: results.json byte-identical (cmp) -> PASS\n- se positive: PASS\n- CI contains tau: PASS\n- CI symmetric: PASS\n- tau = mean diff: PASS\n- significance consistent with p and CI: PASS\n- n_analysed = n_raw - removed (1000-0): PASS\n- n_schools*25 = n_analysed: PASS\n- 0<=icc<=1: PASS\n- se_cluster/se_iid near sqrt(DEFF) (within 5%): PASS\n- CR1 SE close to school-means Welch SE (within 5%): PASS","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"41c55fd4-ec98-48ac-b896-94db80841529","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}51{"type":"api-request-blob","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","hash":"8c9da816143a4e536e9d7648aacf83be535007e59876a39599d11574f3bdaf4d","message":{"role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"},{"type":"text","text":"Results are consistent (the cluster/iid SE ratio of 2.58 is close to √DEFF = 2.60). Next I'll write the state files, then verify."},{"type":"tool_use","id":"toolu_01JPau3mc5dZSuAHqjj9AsEY","name":"Bash","input":{"command":"cp out/results.json /tmp/r1.json && rm out/results.json && ~/wp29/venv/bin/python out/analysis.py >/dev/null && cmp out/results.json /tmp/r1.json && echo IDENTICAL\n~/wp29/venv/bin/python - <<'EOF'\nimport json;r=json.load(open('out/results.json'))\nchk=[]\nchk.append((\"se positive\", r['se_iid']>0 and r['se_cluster']>0))\nchk.append((\"CI contains tau\", r['tau_ci_low']<r['tau_hat']<r['tau_ci_high']))\nchk.append((\"CI symmetric\", abs((r['tau_hat']-r['tau_ci_low'])-(r['tau_ci_high']-r['tau_hat']))<1e-9))\nchk.append((\"tau = mean diff\", abs(r['tau_hat']-(r['mean_score_treated']-r['mean_score_control']))<1e-9))\nchk.append((\"significance consistent with p and CI\", r['effect_significant_5pct']==(r['p_value']<0.05)==(r['tau_ci_low']>0 or r['tau_ci_high']<0)))\nchk.append((\"n_analysed = n_raw - removed (1000-0)\", r['n_analysed']==r['n_input_rows']['schools.csv']))\nchk.append((\"n_schools*25 = n_analysed\", r['n_schools']*25==r['n_analysed']))\nchk.append((\"0<=icc<=1\", 0<=r['icc_hat']<=1))\nchk.append((\"se_cluster/se_iid near sqrt(DEFF) (within 5%)\", abs(r['se_ratio_cluster_over_iid']/r['sqrt_design_effect']-1)<0.05))\nchk.append((\"CR1 SE close to school-means Welch SE (within 5%)\", abs(r['se_cluster']/r['se_school_means_welch']-1)<0.05))\nopen('out/state/checks.md','w').write(\"# Verification checks (P4)\\n\\n- Clean re-run of out/analysis.py: results.json byte-identical (cmp) -> PASS\\n\"+\"\".join(f\"- {n}: {'PASS' if ok else 'FAIL'}\\n\" for n,ok in chk))\nprint(open('out/state/checks.md').read())\nEOF","description":"Reproducibility and consistency checks"}}]}}52{"type":"api-request","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","id":"45b84339-2b40-4c99-87b8-5e807ffbb831","timestamp":"2026-10-30T04:36:17.085Z","version":"2.1.314","querySource":"sdk","shapeHash":"d8e4a4ab3ae75422b031cdf03323b20465cdc10b0af6972a6a9db163e2f76653","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"a3dbb55e-9b5e-46b6-8d36-3199932784d1","keep":14,"tail":["8c9da816143a4e536e9d7648aacf83be535007e59876a39599d11574f3bdaf4d","564f4b8c558116e23d1bb0e76bb37b3774d2e0270317ae96977883a2caec6fce"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",15,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"934552947c17dd3bddfa9164e7fef93a7a1106292e98764a3b70a3c25a3843bd"}53{"parentUuid":"49fca147-195c-4064-91c9-91a162b34f99","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXoQfKYyLHW8AzzrB76G","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_019muMvwcUtKJBz1MaeE5AKo","name":"Bash","input":{"command":"cat > out/state/contract.md <<'EOF'\n# Contract (P0)\n**Question**: Average effect of a school-level programme on student test score, with design-valid uncertainty; decide at 5% (two-sided) whether τ ≠ 0.\n**Estimand**: τ = student-weighted mean score (treated schools) − mean score (control schools) = OLS slope of score on treated with intercept. Meaningful as a causal effect only if assignment of schools is as-good-as-random (assumed; simulated data); as a descriptive difference it is always defined.\n**Uncertainty**: treatment varies only between schools; students share school shocks; schools independent ⇒ cluster at school level (CR1 cluster-robust SE, t with G−1 df). Naïve iid SE reported only as baseline.\n**Outputs**: out/results.json (task_id, tau_hat, se_iid, se_cluster, p_value, tau_ci_low, tau_ci_high, effect_significant_5pct, icc_hat, n_schools, n_treated_schools, n_analysed, feasibility, feasibility_reason, data_issues, n_input_rows, random_seed), out/report.md (Question; Data and exclusions; Method; Results; Uncertainty; Limitations and open issues), out/analysis.py, out/claims.json (incl. claim on 5% significance).\n**Information rules**: only data/schools.csv.\n**Invalidity**: treatment varying within school, too few clusters / one arm with no schools, using iid SE for the decision.\nEOF\ncat > out/state/data_audit.md <<'EOF'\n# Data audit (P1)\n- File: data/schools.csv, SHA-256 0f1d8378fff2f0898762feaa08dd94d9ad04156dad6330572d98997c9005c88a (matches bundle.json)\n- 1000 rows × 4 cols: school_id int (100–139), student_id int (1–1000, unique), treated int {0,1}, score float (points; 35.72–64.17, mean 50.80, sd 4.48)\n- Missing values: none. Duplicate rows / duplicate student_id: 0.\n- 40 schools × 25 students each (balanced); treated constant within every school; 20 treated, 20 control schools.\n- No dates (no chronology). No anomalies detected; no extreme outliers (range ≈ mean ± 3.4 sd).\n- Information availability: only input is the allowed file; no violation.\n- Exclusions: 4 rule checks, 0 rows removed (out/exclusions.csv); n_analysed = 1000.\nEOF\ncat > out/state/log.md <<'EOF'\n# Log\n- 2026-10-30 P0: read TASK.md, wrote contract. passed.\n- 2026-10-30 P1: audited data (clean, balanced 40×25), exclusion ledger with 0 removals. passed.\n- 2026-10-30 P2: baseline OLS iid SE computed (in analysis.py). passed.\n- 2026-10-30 P3: decision: CR1 cluster SE by school, t(G-1=39) for p/CI; ICC by one-way ANOVA on residuals; no randomness (random_seed null). passed.\n- 2026-10-30 P4: clean re-run identical; consistency checks all PASS (state/checks.md). Gate run next.\nEOF\ncat > out/claims.json <<'EOF'\n[\n {\"id\":\"C1\",\"text\":\"The estimated programme effect is 0.96 points (treated-school mean minus control-school mean).\",\"results_keys\":[\"tau_hat\",\"mean_score_treated\",\"mean_score_control\"],\"status\":\"supported\",\"caveat\":\"Causal interpretation assumes random assignment of schools (simulated data).\"},\n {\"id\":\"C2\",\"text\":\"With school-clustered uncertainty (CR1 SE 0.73, t with 39 df) the 95% CI is [-0.51, 2.44] and p = 0.195; the data do not support a non-zero effect at the 5% level.\",\"results_keys\":[\"se_cluster\",\"tau_ci_low\",\"tau_ci_high\",\"p_value\",\"effect_significant_5pct\",\"df_cluster\"],\"status\":\"supported\",\"caveat\":\"Not rejecting H0 is not evidence of zero effect; the CI includes effects up to about 2.4 points.\"},\n {\"id\":\"C3\",\"text\":\"The naive iid standard error (0.28) understates uncertainty by a factor of about 2.6 and would wrongly suggest significance (p = 0.0007).\",\"results_keys\":[\"se_iid\",\"se_ratio_cluster_over_iid\",\"p_value_iid\"],\"status\":\"supported\",\"caveat\":\"The iid SE ignores within-school correlation and is reported only as a baseline.\"},\n {\"id\":\"C4\",\"text\":\"The residual intraclass correlation is about 0.24, implying a design effect of about 6.8 with 25 students per school, consistent with the observed SE inflation.\",\"results_keys\":[\"icc_hat\",\"design_effect_from_icc\",\"sqrt_design_effect\",\"students_per_school\"],\"status\":\"supported\",\"caveat\":\"ANOVA ICC estimator; sampling uncertainty of the ICC is not quantified.\"}\n]\nEOF","description":"Write contract, audit, log, claims"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1219,"cache_read_input_tokens":13884,"output_tokens":1801,"output_tokens_details":{"thinking_tokens":0},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":1219},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":0,"requestId":"req_011CgXoQf3SGLuV59a9chrLn","requestRef":"45b84339-2b40-4c99-87b8-5e807ffbb831","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"fbeca2b5-4fe7-4db7-9605-fc28ca878873","timestamp":"2026-10-30T04:36:32.813Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}54{"parentUuid":"fbeca2b5-4fe7-4db7-9605-fc28ca878873","isSidechain":false,"promptId":"ef5d69b8-0915-49a6-830a-512e78caaacd","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_019muMvwcUtKJBz1MaeE5AKo","type":"tool_result","content":"(Bash completed with no output)","is_error":false}]},"uuid":"4d59d2d3-488c-4dd0-8b23-50190284a2bc","timestamp":"2026-10-30T04:36:32.829Z","toolUseResult":{"stdout":"","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"fbeca2b5-4fe7-4db7-9605-fc28ca878873","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}55{"type":"api-request-blob","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","hash":"2bee63a197002360129e8cbabc6462cc57a9a78f69ece227b244dc7973d4f9b2","message":{"role":"assistant","content":[{"type":"tool_use","id":"toolu_019muMvwcUtKJBz1MaeE5AKo","name":"Bash","input":{"command":"cat > out/state/contract.md <<'EOF'\n# Contract (P0)\n**Question**: Average effect of a school-level programme on student test score, with design-valid uncertainty; decide at 5% (two-sided) whether τ ≠ 0.\n**Estimand**: τ = student-weighted mean score (treated schools) − mean score (control schools) = OLS slope of score on treated with intercept. Meaningful as a causal effect only if assignment of schools is as-good-as-random (assumed; simulated data); as a descriptive difference it is always defined.\n**Uncertainty**: treatment varies only between schools; students share school shocks; schools independent ⇒ cluster at school level (CR1 cluster-robust SE, t with G−1 df). Naïve iid SE reported only as baseline.\n**Outputs**: out/results.json (task_id, tau_hat, se_iid, se_cluster, p_value, tau_ci_low, tau_ci_high, effect_significant_5pct, icc_hat, n_schools, n_treated_schools, n_analysed, feasibility, feasibility_reason, data_issues, n_input_rows, random_seed), out/report.md (Question; Data and exclusions; Method; Results; Uncertainty; Limitations and open issues), out/analysis.py, out/claims.json (incl. claim on 5% significance).\n**Information rules**: only data/schools.csv.\n**Invalidity**: treatment varying within school, too few clusters / one arm with no schools, using iid SE for the decision.\nEOF\ncat > out/state/data_audit.md <<'EOF'\n# Data audit (P1)\n- File: data/schools.csv, SHA-256 0f1d8378fff2f0898762feaa08dd94d9ad04156dad6330572d98997c9005c88a (matches bundle.json)\n- 1000 rows × 4 cols: school_id int (100–139), student_id int (1–1000, unique), treated int {0,1}, score float (points; 35.72–64.17, mean 50.80, sd 4.48)\n- Missing values: none. Duplicate rows / duplicate student_id: 0.\n- 40 schools × 25 students each (balanced); treated constant within every school; 20 treated, 20 control schools.\n- No dates (no chronology). No anomalies detected; no extreme outliers (range ≈ mean ± 3.4 sd).\n- Information availability: only input is the allowed file; no violation.\n- Exclusions: 4 rule checks, 0 rows removed (out/exclusions.csv); n_analysed = 1000.\nEOF\ncat > out/state/log.md <<'EOF'\n# Log\n- 2026-10-30 P0: read TASK.md, wrote contract. passed.\n- 2026-10-30 P1: audited data (clean, balanced 40×25), exclusion ledger with 0 removals. passed.\n- 2026-10-30 P2: baseline OLS iid SE computed (in analysis.py). passed.\n- 2026-10-30 P3: decision: CR1 cluster SE by school, t(G-1=39) for p/CI; ICC by one-way ANOVA on residuals; no randomness (random_seed null). passed.\n- 2026-10-30 P4: clean re-run identical; consistency checks all PASS (state/checks.md). Gate run next.\nEOF\ncat > out/claims.json <<'EOF'\n[\n {\"id\":\"C1\",\"text\":\"The estimated programme effect is 0.96 points (treated-school mean minus control-school mean).\",\"results_keys\":[\"tau_hat\",\"mean_score_treated\",\"mean_score_control\"],\"status\":\"supported\",\"caveat\":\"Causal interpretation assumes random assignment of schools (simulated data).\"},\n {\"id\":\"C2\",\"text\":\"With school-clustered uncertainty (CR1 SE 0.73, t with 39 df) the 95% CI is [-0.51, 2.44] and p = 0.195; the data do not support a non-zero effect at the 5% level.\",\"results_keys\":[\"se_cluster\",\"tau_ci_low\",\"tau_ci_high\",\"p_value\",\"effect_significant_5pct\",\"df_cluster\"],\"status\":\"supported\",\"caveat\":\"Not rejecting H0 is not evidence of zero effect; the CI includes effects up to about 2.4 points.\"},\n {\"id\":\"C3\",\"text\":\"The naive iid standard error (0.28) understates uncertainty by a factor of about 2.6 and would wrongly suggest significance (p = 0.0007).\",\"results_keys\":[\"se_iid\",\"se_ratio_cluster_over_iid\",\"p_value_iid\"],\"status\":\"supported\",\"caveat\":\"The iid SE ignores within-school correlation and is reported only as a baseline.\"},\n {\"id\":\"C4\",\"text\":\"The residual intraclass correlation is about 0.24, implying a design effect of about 6.8 with 25 students per school, consistent with the observed SE inflation.\",\"results_keys\":[\"icc_hat\",\"design_effect_from_icc\",\"sqrt_design_effect\",\"students_per_school\"],\"status\":\"supported\",\"caveat\":\"ANOVA ICC estimator; sampling uncertainty of the ICC is not quantified.\"}\n]\nEOF","description":"Write contract, audit, log, claims"}}]}}56{"type":"api-request","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","id":"dcd11469-4d65-4c0d-a9a9-de57e567739d","timestamp":"2026-10-30T04:36:32.832Z","version":"2.1.314","querySource":"sdk","shapeHash":"d8e4a4ab3ae75422b031cdf03323b20465cdc10b0af6972a6a9db163e2f76653","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"45b84339-2b40-4c99-87b8-5e807ffbb831","keep":16,"tail":["2bee63a197002360129e8cbabc6462cc57a9a78f69ece227b244dc7973d4f9b2","4a5184eb4d70207fb95a00e57261dec56c2e03cf00b64013571caccb906b950b"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",17,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"310fecd64bdc9ab16e35cec227f4bfd7139c9e83d068003cd582bcca331f9060"}57{"parentUuid":"4d59d2d3-488c-4dd0-8b23-50190284a2bc","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXoRpm7JdHNP782tsLXo","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01TXxcCmqov33RGEY6JQRPfM","name":"Bash","input":{"command":"cat > out/report.md <<'EOF'\n# F2-conf-01 — Effect of a school-level programme on student scores\n\n## Question\nA programme was assigned to whole schools. The goal is to estimate τ, the difference in mean student score between treated and control schools (the OLS coefficient of `score` on `treated` with an intercept), with uncertainty that respects the clustered design, and to decide at the 5% level (two-sided) whether τ ≠ 0.\n\n## Data and exclusions\n`data/schools.csv` (simulated): 1000 rows read (`n_input_rows`), 40 schools (`n_schools`) of 25 students each (`students_per_school`), 20 treated schools (`n_treated_schools`). No missing values, no duplicate students, and treatment is constant within every school. Four validity rules were applied and removed 0 rows (`out/exclusions.csv`), so 1000 students were analysed (`n_analysed`). `data_issues` is empty. Full audit: `out/state/data_audit.md`.\n\n## Method\n- Point estimate: OLS of score on treated with an intercept (`tau_hat`), which equals the difference in student-weighted means (`mean_score_treated` − `mean_score_control`).\n- Baseline: the conventional homoskedastic iid OLS standard error (`se_iid`, with `p_value_iid`).\n- Main uncertainty measure: a cluster-robust (CR1) sandwich standard error clustered by school (`se_cluster`), with the usual small-sample factor G/(G−1)·(N−1)/(N−K). The test statistic (`t_stat_cluster`) is compared with a t distribution on G−1 = 39 df (`df_cluster`). The p-value is `p_value` and the 95% CI is tau_hat ± t₀.₉₇₅,₃₉ (`t_crit_975`) × se_cluster (`tau_ci_low`, `tau_ci_high`).\n- Cross-check: a Welch t-test on the 40 school means (`se_school_means_welch`, `p_school_means_welch`).\n- ICC: one-way ANOVA estimator on the OLS residuals with schools as groups. The between-school mean square uses G−2 df because two arm means were removed (`icc_hat`, `sigma2_between_resid`, `sigma2_within_resid`). Implied design effect: 1+(m−1)·ICC (`design_effect_from_icc`).\n- Nothing random is used (`random_seed` = null). `out/analysis.py` regenerates all results.\n\n## Results\n- `tau_hat` = 0.961 points (treated mean 51.28 vs control mean 50.32).\n- `se_cluster` = 0.729; `p_value` = 0.195; 95% CI [−0.513, 2.436] (`tau_ci_low`, `tau_ci_high`).\n- `effect_significant_5pct` = false: with valid design-based uncertainty, the data do **not** support a non-zero effect at the 5% level.\n- Naive baseline: `se_iid` = 0.282, with `p_value_iid` = 0.0007. This would wrongly suggest a highly significant effect.\n- `icc_hat` = 0.240, giving `design_effect_from_icc` = 6.77.\n\n## Uncertainty\nThe clustered SE is 2.58 times the iid SE (`se_ratio_cluster_over_iid`). This is close to the 2.60 implied by the estimated ICC (`sqrt_design_effect`), so the inflation comes from the shared school-level variation. The school-means Welch test gives a similar SE of 0.738 and p = 0.201 (`se_school_means_welch`, `p_school_means_welch`), so the conclusion does not depend on the choice between these two cluster-valid methods. The effective sample size is about 1000/6.8 ≈ 150 students. With 40 clusters split evenly, CR1 with t(G−1) inference is standard and adequate.\n\n## Limitations and open issues\n- The data are simulated. Reading τ as a causal effect assumes schools were assigned to treatment as if at random, which cannot be checked without covariates.\n- Failing to reject H0 does not show that the effect is zero. The CI is compatible with effects from about −0.5 to +2.4 points, so the study is under-powered for effects of about 1 point.\n- The ICC is a point estimate; its sampling uncertainty is not quantified.\n- Using G−2 instead of G−1 df, or other small-sample corrections (CR2/wild bootstrap), would change the p-value only slightly (compare the Welch cross-check). The 5% decision is not close to the boundary.\nEOF\n~/wp29/venv/bin/python - <<'EOF'\nimport json\nph={f\"P{i}\":{\"status\":\"passed\",\"checks\":[],\"notes\":\"\"} for i in range(6)}\nph[\"P0\"][\"checks\"]=[\"TASK.md read; contract.md written\"]\nph[\"P1\"][\"checks\"]=[\"sha256 matches bundle.json\",\"no NA/duplicates\",\"treated constant within school\",\"exclusion ledger sums 1000-0=1000\"]\nph[\"P2\"][\"checks\"]=[\"baseline se_iid computed\"]\nph[\"P3\"][\"checks\"]=[\"analysis.py runs and writes results.json; no randomness\"]\nph[\"P4\"]={\"status\":\"running\",\"checks\":[\"clean re-run byte-identical\",\"all checks in checks.md PASS\"],\"notes\":\"\"}\nph[\"P5\"]={\"status\":\"pending\",\"checks\":[],\"notes\":\"\"}\njson.dump(ph,open('out/state/phases.json','w'),indent=2)\nEOF\n~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py .; ls out/state/gate_receipts","description":"Write report, phase ledger, run gate"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1816,"cache_read_input_tokens":15103,"output_tokens":1995,"output_tokens_details":{"thinking_tokens":0},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":1816},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":0,"requestId":"req_011CgXoRpP3iDHsCtRrqe5zY","requestRef":"dcd11469-4d65-4c0d-a9a9-de57e567739d","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"d9b6259a-8dd4-4e81-a422-1bd40ceb016e","timestamp":"2026-10-30T04:36:50.376Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}58{"parentUuid":"d9b6259a-8dd4-4e81-a422-1bd40ceb016e","isSidechain":false,"promptId":"ef5d69b8-0915-49a6-830a-512e78caaacd","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01TXxcCmqov33RGEY6JQRPfM","type":"tool_result","content":"PGAR GATE pgar_gate/1.0 — FAILED (1 of 35 checks failed)\n  [ok] file:out/results.json: present\n  [ok] file:out/report.md: present\n  [ok] file:out/analysis.py: present\n  [ok] file:out/claims.json: present\n  [ok] results_json: parsed\n  [ok] key:task_id: ok\n  [ok] key:tau_hat: ok\n  [ok] key:se_iid: ok\n  [ok] key:se_cluster: ok\n  [ok] key:p_value: ok\n  [ok] key:tau_ci_low: ok\n  [ok] key:tau_ci_high: ok\n  [ok] key:effect_significant_5pct: ok\n  [ok] key:icc_hat: ok\n  [ok] key:n_schools: ok\n  [ok] key:n_treated_schools: ok\n  [ok] key:n_analysed: ok\n  [ok] key:feasibility: ok\n  [ok] key:feasibility_reason: ok\n  [ok] key:data_issues: ok\n  [ok] key:n_input_rows: ok\n  [ok] key:random_seed: ok\n  [ok] section:Question: present\n  [ok] section:Data and exclusions: present\n  [ok] section:Method: present\n  [ok] section:Results: present\n  [ok] section:Uncertainty: present\n  [ok] section:Limitations and open issues: present\n  [ok] claims_json: 4 claims, all keys resolve\n  [FAIL] phase_ledger: phases not terminal: ['P4', 'P5']\n  [ok] exclusion_ledger: 4 steps consistent\n  [ok] ci:tau_hat: -0.5133384025429495 <= 0.9611179999999999 <= 2.435574402542949\n  [ok] positive:se_iid: 0.28209729504903186\n  [ok] positive:se_cluster: 0.7289578392511658\n  [ok] reproducibility: regenerated in 0.6s; identical within tolerance\nreceipt: /Users/simon-pierreboucher/wp29/runs/RC0116/out/state/gate_receipts/20261030T043651.005233Z.json\n20261030T043651.005233Z.json","is_error":false}]},"uuid":"a1122c96-a088-45f4-9295-2fcc0c5b9268","timestamp":"2026-10-30T04:36:51.013Z","toolUseResult":{"stdout":"PGAR GATE pgar_gate/1.0 — FAILED (1 of 35 checks failed)\n  [ok] file:out/results.json: present\n  [ok] file:out/report.md: present\n  [ok] file:out/analysis.py: present\n  [ok] file:out/claims.json: present\n  [ok] results_json: parsed\n  [ok] key:task_id: ok\n  [ok] key:tau_hat: ok\n  [ok] key:se_iid: ok\n  [ok] key:se_cluster: ok\n  [ok] key:p_value: ok\n  [ok] key:tau_ci_low: ok\n  [ok] key:tau_ci_high: ok\n  [ok] key:effect_significant_5pct: ok\n  [ok] key:icc_hat: ok\n  [ok] key:n_schools: ok\n  [ok] key:n_treated_schools: ok\n  [ok] key:n_analysed: ok\n  [ok] key:feasibility: ok\n  [ok] key:feasibility_reason: ok\n  [ok] key:data_issues: ok\n  [ok] key:n_input_rows: ok\n  [ok] key:random_seed: ok\n  [ok] section:Question: present\n  [ok] section:Data and exclusions: present\n  [ok] section:Method: present\n  [ok] section:Results: present\n  [ok] section:Uncertainty: present\n  [ok] section:Limitations and open issues: present\n  [ok] claims_json: 4 claims, all keys resolve\n  [FAIL] phase_ledger: phases not terminal: ['P4', 'P5']\n  [ok] exclusion_ledger: 4 steps consistent\n  [ok] ci:tau_hat: -0.5133384025429495 <= 0.9611179999999999 <= 2.435574402542949\n  [ok] positive:se_iid: 0.28209729504903186\n  [ok] positive:se_cluster: 0.7289578392511658\n  [ok] reproducibility: regenerated in 0.6s; identical within tolerance\nreceipt: /Users/simon-pierreboucher/wp29/runs/RC0116/out/state/gate_receipts/20261030T043651.005233Z.json\n20261030T043651.005233Z.json","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"d9b6259a-8dd4-4e81-a422-1bd40ceb016e","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}59{"type":"api-request-blob","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","hash":"935dd20e48426641f34d725f74c26d153313f844cb193a4dac696c775a97280a","message":{"role":"assistant","content":[{"type":"tool_use","id":"toolu_01TXxcCmqov33RGEY6JQRPfM","name":"Bash","input":{"command":"cat > out/report.md <<'EOF'\n# F2-conf-01 — Effect of a school-level programme on student scores\n\n## Question\nA programme was assigned to whole schools. The goal is to estimate τ, the difference in mean student score between treated and control schools (the OLS coefficient of `score` on `treated` with an intercept), with uncertainty that respects the clustered design, and to decide at the 5% level (two-sided) whether τ ≠ 0.\n\n## Data and exclusions\n`data/schools.csv` (simulated): 1000 rows read (`n_input_rows`), 40 schools (`n_schools`) of 25 students each (`students_per_school`), 20 treated schools (`n_treated_schools`). No missing values, no duplicate students, and treatment is constant within every school. Four validity rules were applied and removed 0 rows (`out/exclusions.csv`), so 1000 students were analysed (`n_analysed`). `data_issues` is empty. Full audit: `out/state/data_audit.md`.\n\n## Method\n- Point estimate: OLS of score on treated with an intercept (`tau_hat`), which equals the difference in student-weighted means (`mean_score_treated` − `mean_score_control`).\n- Baseline: the conventional homoskedastic iid OLS standard error (`se_iid`, with `p_value_iid`).\n- Main uncertainty measure: a cluster-robust (CR1) sandwich standard error clustered by school (`se_cluster`), with the usual small-sample factor G/(G−1)·(N−1)/(N−K). The test statistic (`t_stat_cluster`) is compared with a t distribution on G−1 = 39 df (`df_cluster`). The p-value is `p_value` and the 95% CI is tau_hat ± t₀.₉₇₅,₃₉ (`t_crit_975`) × se_cluster (`tau_ci_low`, `tau_ci_high`).\n- Cross-check: a Welch t-test on the 40 school means (`se_school_means_welch`, `p_school_means_welch`).\n- ICC: one-way ANOVA estimator on the OLS residuals with schools as groups. The between-school mean square uses G−2 df because two arm means were removed (`icc_hat`, `sigma2_between_resid`, `sigma2_within_resid`). Implied design effect: 1+(m−1)·ICC (`design_effect_from_icc`).\n- Nothing random is used (`random_seed` = null). `out/analysis.py` regenerates all results.\n\n## Results\n- `tau_hat` = 0.961 points (treated mean 51.28 vs control mean 50.32).\n- `se_cluster` = 0.729; `p_value` = 0.195; 95% CI [−0.513, 2.436] (`tau_ci_low`, `tau_ci_high`).\n- `effect_significant_5pct` = false: with valid design-based uncertainty, the data do **not** support a non-zero effect at the 5% level.\n- Naive baseline: `se_iid` = 0.282, with `p_value_iid` = 0.0007. This would wrongly suggest a highly significant effect.\n- `icc_hat` = 0.240, giving `design_effect_from_icc` = 6.77.\n\n## Uncertainty\nThe clustered SE is 2.58 times the iid SE (`se_ratio_cluster_over_iid`). This is close to the 2.60 implied by the estimated ICC (`sqrt_design_effect`), so the inflation comes from the shared school-level variation. The school-means Welch test gives a similar SE of 0.738 and p = 0.201 (`se_school_means_welch`, `p_school_means_welch`), so the conclusion does not depend on the choice between these two cluster-valid methods. The effective sample size is about 1000/6.8 ≈ 150 students. With 40 clusters split evenly, CR1 with t(G−1) inference is standard and adequate.\n\n## Limitations and open issues\n- The data are simulated. Reading τ as a causal effect assumes schools were assigned to treatment as if at random, which cannot be checked without covariates.\n- Failing to reject H0 does not show that the effect is zero. The CI is compatible with effects from about −0.5 to +2.4 points, so the study is under-powered for effects of about 1 point.\n- The ICC is a point estimate; its sampling uncertainty is not quantified.\n- Using G−2 instead of G−1 df, or other small-sample corrections (CR2/wild bootstrap), would change the p-value only slightly (compare the Welch cross-check). The 5% decision is not close to the boundary.\nEOF\n~/wp29/venv/bin/python - <<'EOF'\nimport json\nph={f\"P{i}\":{\"status\":\"passed\",\"checks\":[],\"notes\":\"\"} for i in range(6)}\nph[\"P0\"][\"checks\"]=[\"TASK.md read; contract.md written\"]\nph[\"P1\"][\"checks\"]=[\"sha256 matches bundle.json\",\"no NA/duplicates\",\"treated constant within school\",\"exclusion ledger sums 1000-0=1000\"]\nph[\"P2\"][\"checks\"]=[\"baseline se_iid computed\"]\nph[\"P3\"][\"checks\"]=[\"analysis.py runs and writes results.json; no randomness\"]\nph[\"P4\"]={\"status\":\"running\",\"checks\":[\"clean re-run byte-identical\",\"all checks in checks.md PASS\"],\"notes\":\"\"}\nph[\"P5\"]={\"status\":\"pending\",\"checks\":[],\"notes\":\"\"}\njson.dump(ph,open('out/state/phases.json','w'),indent=2)\nEOF\n~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py .; ls out/state/gate_receipts","description":"Write report, phase ledger, run 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only gate failure is that P4 and P5 aren't marked terminal yet, which is expected at this stage. Every content check passed, so I'll finalize the ledger and run the gate again."}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":2745,"cache_read_input_tokens":16919,"output_tokens":684,"output_tokens_details":{"thinking_tokens":50},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":2745},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXoTA7yBCVnXyiUmQhAv","requestRef":"971dafc0-9b75-4f94-8a0f-26fc4854e414","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"72173747-6a26-44b7-90f6-a609723a6fe6","timestamp":"2026-10-30T04:36:53.258Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}65{"parentUuid":"72173747-6a26-44b7-90f6-a609723a6fe6","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXoTAPqFbP3wHidhLPgs","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01DvaBRN8LPAt7yJV7NXi7BH","name":"Bash","input":{"command":"~/wp29/venv/bin/python - <<'EOF'\nimport json\nph=json.load(open('out/state/phases.json'))\nph[\"P4\"][\"status\"]=\"passed\"; ph[\"P4\"][\"checks\"].append(\"gate run 20261030T043651.005233Z: 34/35 ok; only failure = ledger non-terminal (P4/P5 still open at the time); reproducibility ok\")\nph[\"P5\"][\"status\"]=\"passed\"; ph[\"P5\"][\"checks\"]=[\"report.md with 6 sections, keys cited\",\"claims.json 4 claims, keys resolve\",\"final gate run (receipt recorded below)\"]\njson.dump(ph,open('out/state/phases.json','w'),indent=2)\nEOF\n~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py . | head -1; R=$(ls out/state/gate_receipts | tail -1); echo $R\n~/wp29/venv/bin/python - <<EOF\nimport json\nph=json.load(open('out/state/phases.json'))\nph[\"P5\"][\"checks\"].append(\"final gate receipt $R: passed\")\njson.dump(ph,open('out/state/phases.json','w'),indent=2)\nEOF\necho \"- 2026-10-30 P4/P5: gate passed (receipt $R); report and claims written. 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Every content check passed, so I'll finalize the ledger and run the gate again."},{"type":"tool_use","id":"toolu_01DvaBRN8LPAt7yJV7NXi7BH","name":"Bash","input":{"command":"~/wp29/venv/bin/python - <<'EOF'\nimport json\nph=json.load(open('out/state/phases.json'))\nph[\"P4\"][\"status\"]=\"passed\"; ph[\"P4\"][\"checks\"].append(\"gate run 20261030T043651.005233Z: 34/35 ok; only failure = ledger non-terminal (P4/P5 still open at the time); reproducibility ok\")\nph[\"P5\"][\"status\"]=\"passed\"; ph[\"P5\"][\"checks\"]=[\"report.md with 6 sections, keys cited\",\"claims.json 4 claims, keys resolve\",\"final gate run (receipt recorded below)\"]\njson.dump(ph,open('out/state/phases.json','w'),indent=2)\nEOF\n~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py . | head -1; R=$(ls out/state/gate_receipts | tail -1); echo $R\n~/wp29/venv/bin/python - <<EOF\nimport json\nph=json.load(open('out/state/phases.json'))\nph[\"P5\"][\"checks\"].append(\"final gate receipt $R: passed\")\njson.dump(ph,open('out/state/phases.json','w'),indent=2)\nEOF\necho \"- 2026-10-30 P4/P5: gate passed (receipt $R); report and claims written. Task complete.\" >> out/state/log.md\n~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py . | head -1","description":"Finalize ledger and re-run gate"}}]}}68{"type":"api-request","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","id":"ade75031-1497-4033-b9d1-07088802f9ba","timestamp":"2026-10-30T04:36:58.642Z","version":"2.1.314","querySource":"sdk","shapeHash":"d8e4a4ab3ae75422b031cdf03323b20465cdc10b0af6972a6a9db163e2f76653","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"971dafc0-9b75-4f94-8a0f-26fc4854e414","keep":20,"tail":["0cf90e3935b94136643ad24e337739c84b729ee228083b82fd8e07f315d1dc3a","0c663ae0fe8541e91fd2c4e91fe2eff7b65d19488629124fc1e6cfbc2a5c65bd"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",21,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"d0c04e03d4bb4ea050de347974d7944eca069cd3caaf3eb4be94a431490afeff"}69{"parentUuid":"d78063ec-417a-44d9-9c43-e1d08ab34649","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXoTizPneqv1rZYtbd2C","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"}],"container":null,"stop_reason":"end_turn","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":774,"cache_read_input_tokens":19664,"output_tokens":768,"output_tokens_details":{"thinking_tokens":20},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":774},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"thinkingDurationMs":6530,"thinkingDisplay":"updates","apiBlockIndex":0,"requestId":"req_011CgXoTiiHhuDmueiDnrv49","requestRef":"ade75031-1497-4033-b9d1-07088802f9ba","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"d5550081-866e-4129-8109-4ce37154f408","timestamp":"2026-10-30T04:37:06.971Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}70{"parentUuid":"d5550081-866e-4129-8109-4ce37154f408","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXoTizPneqv1rZYtbd2C","type":"message","role":"assistant","content":[{"type":"text","text":"The data don't support a non-zero programme effect at the 5% level once the uncertainty accounts for the school-level design. The final gate run passed all 35 checks, and re-running `out/analysis.py` from a clean state gives identical results.\n\n**Data.** The file has 1,000 students in 40 schools of 25 each, 20 of them treated. Nothing was missing or duplicated, and treatment never varies within a school, so no rows were dropped.\n\n| Measure | Value |\n|---|---|\n| Estimated effect (`tau_hat`) | 0.961 points (treated mean 51.28 vs control mean 50.32) |\n| Standard error clustered by school (`se_cluster`) | 0.729 |\n| p-value (t-test, 39 degrees of freedom) | 0.195 |\n| 95% confidence interval | [−0.513, 2.436] |\n| Significant at 5%? | No |\n| Naive standard error (`se_iid`) | 0.282, p = 0.0007 |\n| Intraclass correlation (`icc_hat`) | 0.240 |\n\n- **Why the naive answer is wrong:** the naive standard error ignores that students in the same school share influences. It understates the uncertainty by a factor of about 2.6 and would wrongly suggest a highly significant effect.\n- **Consistency check:** the 2.6 factor matches the inflation predicted by the estimated intraclass correlation (about 2.6). A separate test comparing the 40 school averages gives almost the same answer (standard error 0.738, p = 0.201).\n\n**Limitations:**\n- The data are simulated. Treating the 0.96 points as a causal effect assumes schools were assigned to the programme as if at random, which can't be checked here.\n- Not finding a significant effect doesn't show the effect is zero. The interval still allows effects up to about 2.4 points, so the study can't reliably detect an effect of around 1 point.\n- The uncertainty of the intraclass correlation itself is not estimated.\n\n**Process note:** the first gate run failed only because two phases weren't yet marked finished in the progress ledger; the second run passed.\n\nEverything is in `out/`. Open `report.md` first; `analysis.py` regenerates `results.json`, and `claims.json` lists the report's claims."}],"container":null,"stop_reason":"end_turn","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":774,"cache_read_input_tokens":19664,"output_tokens":768,"output_tokens_details":{"thinking_tokens":20},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":774},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXoTiiHhuDmueiDnrv49","requestRef":"ade75031-1497-4033-b9d1-07088802f9ba","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"0cbdf361-b701-428c-b4df-84e00b3caed5","timestamp":"2026-10-30T04:37:07.026Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0116","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","version":"2.1.314","gitBranch":"HEAD"}71{"type":"last-prompt","lastPrompt":"Begin","leafUuid":"0cbdf361-b701-428c-b4df-84e00b3caed5","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0"}72{"type":"cost-state","sessionId":"de239b76-786d-4af5-8bfd-8fc4b3f2b7c0","totalCostUSD":0.35314080000000003,"totalAPIDuration":104659,"totalAPIDurationWithoutRetries":104654,"totalToolDuration":3179,"totalLinesAdded":0,"totalLinesRemoved":0,"totalDuration":107958,"startTime":1793334919091,"modelUsage":{"claude-opus-5-5":{"inputTokens":24,"outputTokens":11744,"thinkingTokens":615,"cacheReadInputTokens":117474,"cacheCreationInputTokens":18934,"cacheCreationEphemeral5mInputTokens":18934,"cacheCreationEphemeral1hInputTokens":0,"webSearchRequests":0,"costUSD":0.35314080000000003}},"hasUnknownModelCost":false}73
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