Compute Innocent Suspect ID Rate with Effective Size Correction — innocent_id_rate

Estimates innocent-suspect identification rate using effective lineup size, accounting for implausible fillers and lineup bias.

Usage

innocent_id_rate_effective(error_rate, effective_size)

Arguments

error_rate: Numeric. Overall mistaken identification rate from culprit-absent lineups.
effective_size: Numeric. Effective size computed from the distribution of mistaken IDs (typically via esize_T).

Value

Numeric. Estimated innocent-suspect identification rate.

Details

This represents a more realistic estimate when lineup fairness is uncertain. Uses the distribution of mistaken IDs to estimate the number of plausible lineup members. The formula is: innocent_id_rate = error_rate / effective_size

When effective size < nominal size, this indicates lineup bias and increases the estimated innocent-suspect risk.

References

Fitzgerald, R. J., Tredoux, C. G., & Juncu, S. (2023). Estimation of eyewitness error rates in fair and biased lineups. Law and Human Behavior.

Tredoux, C. G. (1998). Statistical inference on measures of lineup fairness. Law and Human Behavior, 22(2), 217-237.

Examples

# 30% mistaken ID rate with an effective size of 4.2
innocent_id_rate_effective(0.30, 4.2)
#> [1] 0.07142857