Lambda Offenses Per Active Year Lookup
Observed lambda event rate per independently established active-career year, not predict offending. 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
An active-year offense rate divides recorded offenses by matched observed career time.
An active-year offense rate divides recorded offenses by matched observed career time.1
It describes the adopted observation window rather than an unobserved person's offending propensity. Use this tool to calculate the stated observation or conditional model from supplied measurements.
When to use Lambda Offenses Per Active Year Lookup
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 Lambda Offenses Per Active Year Lookup and understand its results
- Establish the jurisdiction or research scope, observation and event definitions, reference date, matched period and denominator basis.
- Enter verifiedRecordedOffenseCounts, matchedObservedActiveCareerYears, using the field meanings and rules below, then run the tool.
- Read result.observedPooledRate, result.observedNumeratorTotal, result.observedDenominatorTotal. Interpret each field using the units, signs and evidence rules below.
- 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 field | Meaning | Value type | Requirement |
|---|---|---|---|
| verifiedRecordedOffenseCounts | Verified recorded offense counts | list of number | Required |
| matchedObservedActiveCareerYears | Matched observed active career years | list of number | Required |
Enter nonempty aligned finite verifiedRecordedOffenseCounts and matchedObservedActiveCareerYears lists with all values nonnegative and positive pooled denominator. Sum numerators and denominators separately; divide pooled totals and scale by 1. 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=1×Σnumerators/Σdenominators; totals=(Σnumerators,Σdenominators) Apply the field units and exact ordering, boundary and evidence rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Structured result containing the calculation or selected reference fields below | object |
| result.observedPooledRate | Scaled pooled numerator total divided by pooled denominator total, using the units and scale above | number |
| result.observedNumeratorTotal | Sum of submitted nonnegative numerator values | number |
| result.observedDenominatorTotal | Positive sum of submitted nonnegative denominator values | number |
{
"input": {
"verifiedRecordedOffenseCounts": [
2,
4
],
"matchedObservedActiveCareerYears": [
10,
20
]
},
"output": {
"result": {
"observedPooledRate": 0.2,
"observedNumeratorTotal": 6,
"observedDenominatorTotal": 30
}
}
}Limitations and assumptions
It describes the adopted observation window rather than an unobserved person's offending propensity. 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 Criminal Career Length Years Average Lookup to examine a related aspect: Criminal-career duration studies depend on observation windows and outcome definitions.
Use Crime Rate Per 100K Standardization Calculator where its separate inputs and scope apply: A standardized crime rate relates recorded offenses to population exposure.
References
-
Lambda Offenses Per Active Year Lookup — tool.io
Similar or alternative tools
- Criminal Career Length Years Average Lookup
Criminal-career duration studies depend on observation windows and outcome definitions.
- Crime Rate Per 100K Standardization Calculator
A standardized crime rate relates recorded offenses to population exposure.