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Positive Label Threshold Tie Tool

Calculate positive label threshold tie from explicit caller-supplied inputs.

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Description

Return positive-label selection under explicit score direction and equality policy.

Classification scores rank labels or locate a prediction relative to a chosen decision boundary. Raw scores and logits need not be calibrated probabilities; exact ties, score direction and inclusion of boundary values are separate policy choices that can change the reported decision.

Return positive-label selection under explicit score direction and equality policy.

When to use this tool

Use Positive Label Threshold Tie when checking the stated score comparison, tie or decision-band policy.

How to use the tool and how it works

  1. Enter score, threshold, equalityPositive, higherPositive. 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 positive, tied. Inspect positive, tied before interpreting the associated values.

Return positive-label selection under explicit score direction and equality policy. Orient score-threshold by higherPositive; positive requires positive oriented difference or equality with equalityPositive, tied tests exact equality.1

Input fieldMeaning and unitsAccepted input
scoreScoreRequired. Finite number.
thresholdThresholdRequired. Finite number.
equalityPositiveEquality PositiveRequired. Boolean.
higherPositiveHigher PositiveRequired. Boolean.
Output fieldInterpretationReturned shape
positivePositiveRequired. Boolean.
tiedTiedRequired. Boolean.
json
{
  "input": {
    "score": 0.5,
    "threshold": 0.5,
    "equalityPositive": true,
    "higherPositive": true
  },
  "output": {
    "positive": true,
    "tied": true
  }
}

Limitations and assumptions

  • The score need not be a probability; no threshold optimization, measurement tolerance or performance guarantee is supplied.
  • 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

Use a complete evaluation dataset and an explicit decision policy to assess performance; fit and validate calibration separately when a probability interpretation is required.

References

  1. Calculation and input contract: classification/positive-label-threshold-tie — tool.io

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