anderson_rubin_test
Test hypotheses on an endogenous coefficient in instrumental variables regression, with inference that remains valid when instruments are weak. Obtain reliable p-values and confidence sets for causal parameters.
Instructions
Anderson-Rubin (1949) test -- size-correct under weak instruments. Validation: certified parity evidence.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| y | Yes | Outcome variable. | |
| h0 | No | Null hypothesis value for the endogenous coefficient. | |
| exog | No | Included exogenous controls. | |
| vcov | No | Variance estimator used for the Olea-Pflueger effective F reported alongside AR. | HC1 |
| alpha | No | Significance level. | |
| endog | Yes | Endogenous regressor (single). | |
| absorb | No | High-dimensional fixed effects to partial out of ``y``, the endogenous regressor, the instruments and the controls before the test -- the same residualisation ``sp.iv(absorb=...)`` performs. | |
| detail | No | Payload depth: 'minimal' (~150 tokens) for sub-step calls where only the point estimate is needed; 'standard' (~1K tokens) for diagnostics + coefficient table; 'agent' (~2K tokens, default) adds violations / next_steps / suggested_functions so the LLM can plan its next call without another round-trip. | agent |
| cluster | No | Cluster the AR statistic. Switches from the homoskedastic F-form to the (multiway) cluster-robust quadratic form ``(Z'e)' Omega^-1 (Z'e)`` with ``Omega`` the cluster-sum variance of the moment vector, referred to ``F(k_z, G-1)``. Without this, a panel AR test over-rejects exactly as a homoskedastic t-test | |
| as_handle | No | If true, cache the fitted result on the server and return result_id + result_uri alongside the JSON payload so a subsequent tools/call can chain without re-running. | |
| data_path | Yes | Absolute path or URL to a data file. Supported: .csv / .tsv / .txt (delimited), .parquet / .pq, .feather / .arrow, .xlsx / .xls, .dta (Stata), .json / .jsonl. Schemes: file://, s3://, gs://, https://. | |
| result_id | No | Optional handle to a previously-fitted result (returned by an earlier call when as_handle=true). Tools that operate on a fitted object accept this in place of re-supplying data_path + columns. | |
| instruments | Yes | Excluded instruments. | |
| data_columns | No | Optional column projection. Parquet/Feather/Stata loaders honour this for fast partial reads. | |
| data_sample_n | No | Optional uniform random subsample size (seed=0, deterministic) — useful on huge panels. |
Output Schema
| Name | Required | Description | Default |
|---|---|---|---|
No arguments | |||