Description
Return product=(x-meanX)*(y-meanY) and its sign.
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 product=(x-meanX)*(y-meanY) and its sign.
When to use this tool
Use Covariance One Pair Sign Contribution 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 x, meanX, y, meanY. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read product, sign. Use the output convention below.
Return product=(x-meanX)*(y-meanY) and its sign.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| x | X | Required. Finite number. |
| meanX | Mean X | Required. Finite number. |
| y | Y | Required. Finite number. |
| meanY | Mean Y | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| product | Product | Required. Finite number. |
| sign | Sign | Required. Safe integer. |
{
"input": {
"x": 5,
"meanX": 3,
"y": 1,
"meanY": 4
},
"output": {
"product": -6,
"sign": -1
}
}Limitations and assumptions
- Means and observations must use their respective matching units. This is one unnormalized covariance contribution, not a correlation, complete covariance estimate, or inference about association.
- 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
- Correlation Sign Rescale Policy
Correlation under nonzero linear rescaling; a collapsed variable returns an undefined flag and zero placeholder.
- Correlation Squared Sign Loss Label
Return squared=correlation² and the original correlation's sign, requiring correlation within minus one through one.