Description
Return mean, population variance and observed share with missing-cell denominators.
Feature transformations depend on training-derived parameters, category vocabularies and explicit missing-value conventions. A local formula or token rule does not ensure that fitting, application and validation avoid data leakage.
Return mean, population variance and observed share with missing-cell denominators.
When to use this tool
Use Standardization Missing Cell Denominator when checking one supplied feature-transform or encoding component.
How to use the tool and how it works
- Enter sum, squaredSum, observed, total. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read mean, populationVariance, observedFraction. Use the output convention below.
Return mean, population variance and observed share with missing-cell denominators. Require positive whole total/observed with observed <= total and consistent nonnegative squaredSum; divide sum and squaredSum by observed.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| sum | Sum | Required. Finite number. |
| squaredSum | Squared Sum | Required. Finite number; minimum 0. |
| observed | Observed | Required. Safe integer; minimum 1. |
| total | Total | Required. Safe integer; minimum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| mean | Mean | Required. Finite number. |
| populationVariance | Population Variance | Required. Finite number. |
| observedFraction | Observed Fraction | Required. Finite number. |
{
"input": {
"sum": 6,
"squaredSum": 14,
"observed": 3,
"total": 4
},
"output": {
"mean": 2,
"populationVariance": 0.666666666666667,
"observedFraction": 0.75
}
}Limitations and assumptions
- This is a population-moment formula, not sample variance; input consistency uses exact floating-point comparisons.
- 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
Use a correctly fitted preprocessing pipeline and suitable validation design for complete data transformation and model assessment.
References
Similar or alternative tools
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