Description
Require lower ≤ upper and positive referenceSpan, then divide interval width by referenceSpan.
Normalizing a metric divides by a declared reference scale or changes it according to its dimensional exponent. Different scales can produce different comparisons from identical errors.
Require lower ≤ upper and positive referenceSpan, then divide interval width by referenceSpan.
When to use this tool
Use Interval Width Reference Normalization when you need a transparent reference-scale calculation.
How to use the tool and how it works
- Enter lower, upper, referenceSpan. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read normalizedWidth. Use the output convention below.
Require lower ≤ upper and positive referenceSpan, then divide interval width by referenceSpan.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| lower | Lower | Required. Finite number. |
| upper | Upper | Required. Finite number. |
| referenceSpan | Reference Span | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| normalizedWidth | Normalized Width | Required. Finite number. |
{
"input": {
"lower": 2,
"upper": 8,
"referenceSpan": 12
},
"output": {
"normalizedWidth": 0.5
}
}Limitations and assumptions
- All lengths must share a unit; the reference span is supplied and the ratio does not measure interval coverage.
- 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
Report the chosen scale and reference set alongside the original metric, especially when scales are near zero.
References
Similar or alternative tools
- Metrics: Interval Score Observation
Add width, 2/alpha times any shortfall below lower, and 2/alpha times any exceedance above upper.
- Absolute Error Rounding Uncertainty Envelope
Add nonnegative actualHalfwidth and predictedHalfwidth to h.