Table 4. Social and Program Costs per Child When Sensitivity Threshold for Externalizing Problems Is Set at.50.
True condition (%) | Screened as (%) | % of sample | Program cost ($) | Chance of becoming lifetime criminal (%) | Costs of a lifetime of crime ($) | Expected social costs ($) | Expected social costs + program cost ($) | |
---|---|---|---|---|---|---|---|---|
Positive (20) | TP | 50 | 10 | 20,000 | 15 | 2,000,000 | 300,000 | 320,000 |
FN | 50 | 10 | 0 | 30 | 2,000,000 | 600,000 | 600,000 | |
Negative (80) | TN | 90 | 72 | 0 | 5 | 2,000,000 | 100,000 | 100,000 |
FP | 10 | 8 | 20,000 | 5 | 2,000,000 | 100,000 | 120,000 |
Note. Program cost is based on data from Washington State Institute for Public Policy (1998). Chance of becoming a lifetime criminal and costs of a lifetime of crime is based on data from Cohen (1998). Expected social costs = chance of becoming lifetime criminal × costs of a lifetime of crime. The expected cost of society per child (Expected social and program costs × % of sample, summed across all four groups) is $173,600. TP = true positive; FN = false negative; TN = true negative; FP = false positive.