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Cohort Retention Denominator Delta Tool

Isolate a supplied retention denominator revision while holding retained records fixed.

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Description

Compare retention rates after a denominator revision.

Business timing and cohort summaries depend on event origins, bucket boundaries and the treatment of incomplete records. A time difference or bucket label is a supplied record convention rather than proof of customer behavior, completed service or future retention.

Compare retention rates after a denominator revision.

When to use this tool

Use Cohort Retention Denominator Delta when checking the stated business timing or cohort convention.

How to use the tool and how it works

  1. Enter retained, originalBase, revisedBase. 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 oldRate, revisedRate, delta. Use the output convention below.

Compare retention rates after a denominator revision. Require positive whole original/revised bases and retained within both; oldRate = retained/original, revisedRate = retained/revised, delta = revised-old.1

Input fieldMeaning and unitsAccepted input
retainedRetainedRequired. Safe integer; minimum 0.
originalBaseOriginal BaseRequired. Safe integer; minimum 1.
revisedBaseRevised BaseRequired. Safe integer; minimum 1.
Output fieldInterpretationReturned shape
oldRateOld RateRequired. Finite number.
revisedRateRevised RateRequired. Finite number.
deltaDeltaRequired. Finite number.
json
{
  "input": {
    "retained": 40,
    "originalBase": 100,
    "revisedBase": 80
  },
  "output": {
    "oldRate": 0.4,
    "revisedRate": 0.5,
    "delta": 0.09999999999999998
  }
}

Limitations and assumptions

  • The numerator stays fixed; no justified cohort revision, data correction or genuine behavioral retention change is established.
  • 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 complete event records and a defined cohort/period policy; evaluate commercial performance and uncertainty with appropriate complete analyses.

References

  1. Calculation and input contract: business-analytics/cohort-retention-denominator-delta — tool.io

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