Description
For nonnegative weight return contribution=weight*(value-mean).
Normalization depends on the supplied center, scale, norm, range, reference distribution, or denominator. A zero spread and a missing denominator need an explicit policy, and clipping differs from fitting a scaler. Evaluating one scalar or derivative term does not estimate every parameter or establish a distributional improvement.
For nonnegative weight return contribution=weight*(value-mean).
When to use this tool
Use Weighted Center One Cell Residual when you already have the required normalization parameters and need this local scalar, range, policy, or derivative term.
How to use the tool and how it works
- Enter value, mean, weight. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read contribution. Use the output convention below.
For nonnegative weight return contribution=weight*(value-mean).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| value | Supplied scalar or returned value under the stated operation. | Required. Finite number. |
| mean | Mean | Required. Finite number. |
| weight | Weight | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| contribution | Contribution | Required. Finite number. |
{
"input": {
"value": 8,
"mean": 5,
"weight": 2
},
"output": {
"contribution": 6
}
}Limitations and assumptions
- Value and supplied mean need one unit and the weight has the intended weighting interpretation. The tool does not estimate the mean, normalize weights, or compute the full centered sum or variance.
- 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 or verify the intended scaler parameters and statistical model separately. Check units, zero policies, missingness, clipping, inverse conventions, and whether supplied norms or denominators belong to the same data.
References
Similar or alternative tools
- Normalizer Center Inverse Offset
For nonzero signed scale return original=normalized*scale+center and offsetContribution=center.
- Rowwise Normalization Selected Cell
Return denominator=sum(row) and value=row[index]/denominator.