Description
Return rescaledVariance=variance*oldDenominator/newDenominator, requiring nonnegative variance and positive denominators.
A statistical term depends on its data summaries, weighting convention, centering, denominator, and boundary rules. A contribution, derivative, domain check, or converted summary answers a narrower question than a complete estimator. Those conventions must match before terms are combined or compared.
Return rescaledVariance=variance*oldDenominator/newDenominator, requiring nonnegative variance and positive denominators.
When to use this tool
Use Variance Denominator Rescale when you need this specific summary conversion, contribution, domain rule, or sensitivity term with matching statistical conventions.
How to use the tool and how it works
- Enter variance, oldDenominator, newDenominator. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read rescaledVariance. Use the output convention below.
Return rescaledVariance=variance*oldDenominator/newDenominator, requiring nonnegative variance and positive denominators.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| variance | Variance | Required. Finite number; minimum 0. |
| oldDenominator | Old Denominator | Required. Finite number; strictly above 0. |
| newDenominator | New Denominator | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| rescaledVariance | Rescaled Variance | Required. Finite number. |
{
"input": {
"variance": 4,
"oldDenominator": 3,
"newDenominator": 4
},
"output": {
"rescaledVariance": 3
}
}Limitations and assumptions
- This preserves the implied sum of squared deviations under a supplied denominator change. It does not choose sample versus population conventions, verify data, or apply changes in centering.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- 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. Signed zero is exported as zero.
Alternative or Complementary methods
Use a complete estimator or model when a contribution, sensitivity, or domain check is insufficient. Verify the weight semantics, centering, denominator, and sampling assumptions before combining summaries.
References
Similar or alternative tools
- Sample Variance Denominator Residual
Calculate denominator=sampleCount-correction, expectedVariance=sumSquaredDeviations/denominator, and residual=reportedVariance-expectedVariance.
- Correlation Sign Rescale Policy
Correlation under nonzero linear rescaling; a collapsed variable returns an undefined flag and zero placeholder.