Description
Require safe-integer sampleSize at least two and return (observation - sampleMean)²/(sampleSize - 1).
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.
Require safe-integer sampleSize at least two and return (observation - sampleMean)²/(sampleSize - 1).
When to use this tool
Use Sample Variance Deviation Term when you need one stated statistical component with explicit handling of boundary cases.
How to use the tool and how it works
- Enter observation, sampleMean, sampleSize. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read contribution. Use the output convention below.
Require safe-integer sampleSize at least two and return (observation - sampleMean)²/(sampleSize - 1).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| observation | Observation | Required. Finite number. |
| sampleMean | Sample Mean | Required. Finite number. |
| sampleSize | Sample Size | Required. Safe integer; minimum 2. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| contribution | Contribution | Required. Finite number. |
{
"input": {
"observation": 7,
"sampleMean": 5,
"sampleSize": 5
},
"output": {
"contribution": 1
}
}Limitations and assumptions
- This is one sample-variance contribution in squared measurement units; mean, sample size, and all other observations must be established separately.
- 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
- Zscore Zero Spread Policy
At zero spread reject or return defined false and zscore zero; otherwise calculate (value - center)/spread.
- Sample Size Missingness Denominator
Return their difference as observedCount and missing/total as missingFraction.