Disciplinary Incident Rate Per 1000 Inmates Calculator

Actual institutional disciplinary incident rate, not probability a particular inmate is violent. Actual aligned same-period numerator/denominator strata, pooled by exposure not unweighted mean. Nonnegative counts/exposures and positive total denominator; overlapping strata must be independently resolved. No cohort representativeness, causation or eligibility inferred.

Description

Disciplinary incident rates need a matched inmate-time denominator.

Disciplinary incident rates need a matched inmate-time denominator.1

A per-1,000 person-year measure differs from a count per current inmate population. Use this tool to calculate the stated observation or conditional model from supplied measurements.

When to use Disciplinary Incident Rate Per 1000 Inmates Calculator

Use this tool to calculate the stated observation or conditional model from supplied measurements. Establish the jurisdiction or research scope, observation and event definitions, reference date, matched period and denominator basis.

How to use Disciplinary Incident Rate Per 1000 Inmates Calculator and understand its results

  1. Establish the jurisdiction or research scope, observation and event definitions, reference date, matched period and denominator basis.
  2. Enter verifiedDisciplinaryIncidentCounts, matchedInmatePersonYears, using the field meanings and rules below, then run the tool.
  3. Read result.observedPooledRate, result.observedNumeratorTotal, result.observedDenominatorTotal. Interpret each field using the units, signs and evidence rules below.
  4. If input validation fails, correct the reported field and run again. Before applying a successful result, check the stated reference scope, units, assumptions and any retained unknown evidence.
Input fieldMeaningValue typeRequirement
verifiedDisciplinaryIncidentCountsVerified disciplinary incident countslist of numberRequired
matchedInmatePersonYearsMatched inmate person yearslist of numberRequired

Enter nonempty aligned finite verifiedDisciplinaryIncidentCounts and matchedInmatePersonYears lists with all values nonnegative and positive pooled denominator. Sum numerators and denominators separately; divide pooled totals and scale by 1000. Return both totals and the pooled rate, rather than averaging stratum-specific rates. Individual denominators may be zero; the helper neither requires integer counts nor constrains numerator≤denominator. Independently establish matched scope and exposure units.

pooledRate=1000×Σnumerators/Σdenominators; totals=(Σnumerators,Σdenominators)

Apply the field units and exact ordering, boundary and evidence rules above.

Output fieldMeaningValue type
resultStructured result containing the calculation or selected reference fields belowobject
result.observedPooledRateScaled pooled numerator total divided by pooled denominator total, using the units and scale abovenumber
result.observedNumeratorTotalSum of submitted nonnegative numerator valuesnumber
result.observedDenominatorTotalPositive sum of submitted nonnegative denominator valuesnumber
json
{
  "input": {
    "verifiedDisciplinaryIncidentCounts": [
      2,
      4
    ],
    "matchedInmatePersonYears": [
      10,
      20
    ]
  },
  "output": {
    "result": {
      "observedPooledRate": 200,
      "observedNumeratorTotal": 6,
      "observedDenominatorTotal": 30
    }
  }
}

Limitations and assumptions

A per-1,000 person-year measure differs from a count per current inmate population. Results depend on the independently established measurement basis and the exact model assumptions above.

Every listed input requires an explicit value. Unexpected fields, incorrect value types, nonfinite numbers and sparse numeric arrays fail validation; tool-specific bounds and alignment rules apply as described above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful calculation that reports a false comparison or retains unknown evidence.

Alternative or Complementary methods

Use Crime Rate Per 100K Standardization Calculator to examine a related aspect: A standardized crime rate relates recorded offenses to population exposure.

Use Victimization Rate Per 1000 Survey Style Calculator where its separate inputs and scope apply: Victimization rates compare surveyed events with a matched exposure denominator.

References

  1. Disciplinary Incident Rate Per 1000 Inmates Calculator — tool.io

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