Description
For correlation within minus one through one return boundaryGap=1-abs(correlation) and defined only inside the two endpoints.
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.
For correlation within minus one through one return boundaryGap=1-abs(correlation) and defined only inside the two endpoints.
When to use this tool
Use Fisher Z Correlation Domain Gap 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 correlation. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read defined, boundaryGap. Inspect defined before interpreting the associated values.
For correlation within minus one through one return boundaryGap=1-abs(correlation) and defined only inside the two endpoints.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| correlation | Correlation | Required. Finite number; minimum -1; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| defined | Whether a real finite Fisher-z transform exists; no transform returned. | Required. Boolean. |
| boundaryGap | Boundary Gap | Required. Finite number. |
{
"input": {
"correlation": 0.75
},
"output": {
"defined": true,
"boundaryGap": 0.25
}
}Limitations and assumptions
- The flag describes the real finite Fisher-z transform domain; no transform is returned. It does not validate how the supplied correlation was estimated or assess significance.
- 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 Attenuation Reliability Factor
Calculate corrected=observed/sqrt(firstReliability*secondReliability) and return withinCorrelationRange for magnitude at most one.
- Correlation Sign Rescale Policy
Correlation under nonzero linear rescaling; a collapsed variable returns an undefined flag and zero placeholder.