Description
Return estimate minus lowerBound and upperBound minus estimate separately.
A statistic summarizes data under chosen conventions for missing values, ties, spread, and denominators. A component calculation uses the supplied values; it does not check whether the data collection or statistical model is appropriate.
Return estimate minus lowerBound and upperBound minus estimate separately.
When to use this tool
Use Confidence Interval Asymmetric Margin when you need one stated statistical component with explicit handling of boundary cases.
How to use the tool and how it works
- Enter estimate, lowerBound, upperBound. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read lowerMargin, upperMargin. Use the output convention below.
Require lowerBound ≤ estimate ≤ upperBound. Return estimate minus lowerBound and upperBound minus estimate separately.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| estimate | Estimate | Required. Finite number. |
| lowerBound | Lower Bound | Required. Finite number. |
| upperBound | Upper Bound | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| lowerMargin | Lower Margin | Required. Finite number. |
| upperMargin | Upper Margin | Required. Finite number. |
{
"input": {
"estimate": 10,
"lowerBound": 7,
"upperBound": 15
},
"output": {
"lowerMargin": 3,
"upperMargin": 5
}
} Limitations and assumptions
- This decomposes a supplied interval without estimating uncertainty, coverage probability, or a confidence level.
- 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
Inspect the data distribution and the full estimation method before drawing a statistical conclusion.
References
Similar or alternative tools
- Catalogue Circa Date Interval Field
Validate bounded integer centralYear and nonnegative earlier/later tolerances.
- Sample Variance Deviation Term
Require safe-integer sampleSize at least two and return (observation - sampleMean)²/(sampleSize - 1).