Description
Bound a ratio over explicit ordered closed numerator/denominator intervals that do not include zero; all four endpoint ratios establish monotone bounds.
A ratio compares quantities under a stated numerator and denominator. Fractions, percentage numerals, and percentage-point changes use different conventions, and changing a part can also change its whole. Unit consistency, zero denominators, rounding, and the order of adjustments determine the result.
Bound a ratio over explicit ordered closed numerator/denominator intervals that do not include zero; all four endpoint ratios establish monotone bounds.
When to use this tool
Use Proportions: Ratio Uncertainty One Sided Bound when you need this specific ratio, allocation, transformation, interval, or adjustment-order calculation with an explicit base.
How to use the tool and how it works
- Enter numeratorLower, numeratorUpper, denominatorLower, denominatorUpper. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read result. Expand result to inspect the returned fields.
Evaluate all four numerator-bound/denominator-bound corner ratios and return their minimum and maximum plus denominatorSign inside result. Require ordered bounds and a denominator interval wholly positive or wholly negative.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| numeratorLower | Numerator Lower | Required. Finite number. |
| numeratorUpper | Numerator Upper | Required. Finite number. |
| denominatorLower | Denominator Lower | Required. Finite number. |
| denominatorUpper | Denominator Upper | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| result | Result | Required. Object. |
{
"input": {
"numeratorLower": 2,
"numeratorUpper": 4,
"denominatorLower": 1,
"denominatorUpper": 2
},
"output": {
"result": {
"ratioLower": 1,
"ratioUpper": 4,
"denominatorSign": "positive"
}
}
}Limitations and assumptions
- Zero-spanning denominator intervals are rejected. These are deterministic rectangular-input bounds without covariance or probability coverage, not a fitted ratio uncertainty model.
- Outputs are nested inside result. 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
Check numerator, denominator, units, and adjustment order before comparing results. Use a complete allocation or physical mixture model when a single arithmetic term leaves relevant constraints unspecified.
References
Similar or alternative tools
- Proportion Interval Common Denominator Bound
Divide ordered numerator bounds by a nonzero common denominator, reversing their assignment to lower and upper when the denominator is negative.
- Ratio Component Reversal
Return reversedRatio=denominator/numerator, requiring both original components nonzero.