tobit
Fit a censored regression model for outcomes with known lower/upper thresholds, yielding coefficient estimates and confidence intervals to guide data-driven decisions.
Instructions
Tobit model for censored dependent variables. Validation: certified parity evidence. Assumptions: Latent outcome is linear in covariates with normally distributed errors; Censoring threshold is known and exogenous. Pre-conditions: Outcome censoring point and censoring direction are known; Covariates are numeric or properly encoded. Failure modes: MLE fails to converge or sigma is near zero -> Rescale covariates, simplify the model, or compare with censored quantile alternatives. Alternatives: sp.qreg, sp.regress. Typical minimum N: 100.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| x | Yes | Regressors | |
| y | Yes | Censored outcome variable | |
| ll | No | Lower censoring limit (set -inf for none) | |
| ul | No | Upper censoring limit (default: none) | |
| alpha | No | Significance level for confidence intervals | |
| 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 |
| 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. | |
| 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 | |||