Specialization Versatility Index Converter

Actual offense-type concentrationΣp²and complement under independently declared exhaustive type categories. Not identity-based specialization, normalized diversity or future risk.

Description

Offense-type concentration summarizes how recorded counts are distributed among categories.

Offense-type concentration summarizes how recorded counts are distributed among categories.1

Its complement describes diversity within that adopted category scheme. Use this tool to calculate the stated observation or conditional model from supplied measurements.

When to use Specialization Versatility Index Converter

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 Specialization Versatility Index Converter and understand its results

  1. Establish the jurisdiction or research scope, observation and event definitions, reference date, matched period and denominator basis.
  2. Enter independentlyClassifiedOffenseTypeCounts, using the field meanings and rules below, then run the tool.
  3. Read result.observedTypeConcentration, result.observedTypeVersatility. 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
independentlyClassifiedOffenseTypeCountsIndependently classified offense type countslist of numberRequired

Supply a nonempty nonnegative finite offense-type count list with positive total. Convert each to its share, sum squared shares for concentration and subtract from one for versatility. Fractional counts are permitted; zero-count categories are allowed. No unseen types or observation correction is inferred.

p_i=count_i/Σcounts; concentration=Σp_i²; versatility=1−concentration

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.observedTypeConcentrationObserved Type Concentration; use the units, sign convention and calculation stated abovenumber
result.observedTypeVersatilityObserved Type Versatility; use the units, sign convention and calculation stated abovenumber
json
{
  "input": {
    "independentlyClassifiedOffenseTypeCounts": [
      2,
      2
    ]
  },
  "output": {
    "result": {
      "observedTypeConcentration": 0.5,
      "observedTypeVersatility": 0.5
    }
  }
}

Limitations and assumptions

Its complement describes diversity within that adopted category scheme. 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 Moffitt Typology Life Course Classifier to examine a related aspect: Moffitt's developmental typology distinguishes research patterns across life stages.

Use Criminal Career Length Years Average Lookup where its separate inputs and scope apply: Criminal-career duration studies depend on observation windows and outcome definitions.

References

  1. Specialization Versatility Index Converter — tool.io

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