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Confusion Cell Expected Independence Term Tool

Compute confusion cell expected independence term from explicit bounded inputs.

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Description

Return one expected confusion count under independence.

Classifier metrics count particular outcomes on a declared population and positive-label convention. Precision, recall and accepted-only measures use different denominators. A reporting value at an empty denominator is a policy choice, while one cell, derivative or contribution does not constitute a complete performance evaluation.

Return one expected confusion count under independence.

When to use this tool

Use Confusion Cell Expected Independence Term when checking the stated confusion-count, metric contribution or abstention-denominator convention.

How to use the tool and how it works

  1. Enter rowTotal, columnTotal, total. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read expected. Use the output convention below.

Return one expected confusion count under independence. Require whole total >= 1 and row/column totals in [0,total]; expected = rowTotal*columnTotal/total.1

Input fieldMeaning and unitsAccepted input
rowTotalRow TotalRequired. Safe integer; minimum 0.
columnTotalColumn TotalRequired. Safe integer; minimum 0.
totalTotalRequired. Safe integer; minimum 1.
Output fieldInterpretationReturned shape
expectedExpectedRequired. Finite number.
json
{
  "input": {
    "rowTotal": 4,
    "columnTotal": 5,
    "total": 10
  },
  "output": {
    "expected": 2
  }
}

Limitations and assumptions

  • These supplied marginals are not a verified complete contingency table, hypothesis test or significance result.
  • 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

Evaluate the complete confusion table, relevant class supports and abstention coverage together; use suitable uncertainty and validation methods for conclusions about predictive performance.

References

  1. Calculation and input contract: classification/confusion-cell-expected-independence-term — tool.io

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