Description
Subtract a supplied count of independent parameter restrictions.
Econometric calculations separate supplied residuals, regressors, weights, restrictions, panel groups and reference periods. One score or moment contribution is not a fitted estimator, and one scalar covariance term is not a standard error. Unit rescaling and event-time arithmetic preserve conventions without establishing model identification or causal interpretation.
Subtract a supplied count of independent parameter restrictions.
When to use this tool
Use Econometric Restriction Degrees of Freedom when you already have unrestrictedParameters, independentRestrictions and need to subtract a supplied count of independent parameter restrictions.
How to use the tool and how it works
- Enter unrestrictedParameters, independentRestrictions. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read restrictedParameters. Use the output convention below.
Require nonnegative safe unrestrictedParameters and independentRestrictions within that count; return unrestricted-restrictions.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| unrestrictedParameters | Unrestricted Parameters | Required. Safe integer; minimum 0. |
| independentRestrictions | Independent Restrictions | Required. Safe integer; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| restrictedParameters | Unrestricted parameter count minus assumed independent restrictions; not sample residual degrees of freedom. | Required. Safe integer. |
{
"input": {
"unrestrictedParameters": 8,
"independentRestrictions": 3
},
"output": {
"restrictedParameters": 5
}
}Limitations and assumptions
- Independence and model rank are supplied assumptions. This is remaining parameter count, not residual degrees of freedom, a test statistic or an identified model.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Fit and evaluate the full specified model with appropriate data, grouping and uncertainty treatment for inference. Aggregate the required score/moment terms and use the complete covariance calculation; a local residual, cutoff flag or supplied coefficient transformation does not validate the estimator.
References
Similar or alternative tools
- Weighted Regression Single Score Term
Calculate one weighted regression score contribution.
- Heteroskedasticity Robust Meat Row
Calculate one scalar squared weighted-score contribution for a robust-covariance calculation.