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Cost-Benefit Analysis for Justice
Policy: A Step-By-Step Guide




January 25, 2011
Mike Wilson, Oregon Criminal Justice Commission
Lora Krsulich, Vera Institute of Justice



                                                  Slide 1
Cost-Benefit Analysis for Justice Policy:
A Step-by-Step Guide
January 25, 2011
Michael Wilson                       Lora Krsulich
Oregon Criminal Justice Commission   Vera Institute of Justice




                                                                 Slide 2
The Cost-Benefit Knowledge Bank for Criminal Justice
(CBKB) is a project of the Vera Institute of Justice
funded by the U.S. Department of Justice’s Bureau of
Justice Assistance.
   •Website (cbkb.org)
   •CBA toolkit
   •Snapshots of CBA literature
   •Podcasts, videocasts, and webinars
   •Roundtable discussions
   •Community of practice


                                                       Slide 3
Today’s Agenda
Introduction and Housekeeping                 5 minutes

Review Data Tables                            5 minutes
Calculate the Cost of an Offense             15 minutes
(Example 1)
Apply Cost-Benefit Analysis to               20 minutes
Oregon State Drug Courts
(Example 2)

Question and Answer                          10 minutes

Wrap-Up                                       5 minutes

                                   Slide 4
Housekeeping items

          Questions
             Use the chat feature to send us
              questions during the webinar.

             Raise your hand to ask a question
              during a question and answer period. I
              will call on you and give you
              instructions for how to un-mute your
              phone line.




                            Slide 5
Housekeeping items (continued)

Webinar support and troubleshooting
    Call: (800) 843-9166
    E-mail: help@readytalk.com

Handout
This webinar is being recorded.




                                  Slide 6
Series Preview

You will learn how to:
   Assess your state’s return on investment
    from criminal justice expenditures
   Explain the costs of crime and benefits
    from crime avoided
   Consume and produce high-quality
    cost-benefit analysis


                            Slide 7
Part 1 Recap

Discussed prison economics and return on
 investment from incarceration
Deconstructed costs into their component parts:
 estimates, probabilities, and sentencing
 distributions
Interpreted an effect size and demonstrated how
  effects sizes are used to produce CBA findings



                               Slide 8
Part 2 Preview

You will learn how to:
     Calculate the cost of an offense using
      real numbers from Oregon

     Build a cost-benefit model

     Use cost-benefit analysis in
      decision making



                              Slide 9
Review Data Tables




             Slide 10
Table 1: Oregon Cost Estimates

Costs by
crime type




Costs by
resource
use




Taxpayer
and victim
costs




                         Slide 11
Figure 1: Probability of Arrest, Conviction and
Incarceration

     Offense




Unreported Offenses   Reported Offenses




                          No Arrest          Arrest




                                          No Conviction      Conviction




                                          Department of
                                                              Local Jail   Probation
                                           Corrections




                                           Post-Prison
                                           Supervision




                                                          Slide 12
Table 2: Estimated Probability of Arrest and
Conviction
             Probability   Probability   Probability   Probability
             offense       offense       offense       arrest
             reported      leads to      leads to      leads to
                           arrest        conviction    conviction




                                         Slide 13
Table 3: Sentencing Distribution
  Probability   Probability     Probability   Average
  conviction    conviction      conviction    length of
  leads to      leads to jail   leads to      sentence
  prison                        probation




                                              Slide 14
Questions?

Please raise your
hand. If the
moderator calls on
you, press *7 on
your phone to
un-mute your line.




                     Slide 15
Example 1:
Calculating the Cost
of an Offense




                  Slide 16
Example 1

What is the estimated cost of an assault?

   Victimization       $_______
   Arrest              $_______
   Conviction          $_______
   Adult Corrections   $_______
   Jail                $_______
   Probation           $_______
   Post-Prison         $_______
   Supervision

                           Slide 17
What is the estimated cost of an assault?

Victimization:

 Out-of-pocket victim costs      $7,921 Table 1
 Quality-of-life victim costs   $12,232 Table 1
 Total cost                     $20,153


 Add out-of-pocket costs and quality-of-life
 costs.



                                   Slide 18
What is the estimated cost of an assault?

 Arrest:

 Cost of arrest                $670 Table 1
 Probability of arrest         0.32 Table 2
 Total cost                    $214


  Multiply cost of an arrest by probability of
  arrest.



                                Slide 19
What is the estimated cost of an assault?

 Conviction:

 Cost of conviction          $4,877 Table 1
 Probability of conviction     0.15 Table 2
 Total cost                    $732


  Multiply cost of a conviction by probability
  of conviction.



                               Slide 20
What is the estimated cost of an assault?
 Adult Corrections:
  Number of convictions per            0.15 Table 2
  offense
  Probability of adult corrections     0.35 Table 3
  given conviction for assault
  Present value of prison costs                 Must
                                                calculate
  Total cost

  Multiply number of convictions per
  offense by probability of adult corrections
  and present value of prison costs.

                                     Slide 21
What is the estimated cost of an assault?

Present value of adult corrections costs:
  Unit of measurement   Measure                Source

  Cost per year         $13,851                Table 1

  Average length of     46.87 months           Table 3
  sentence              (4 years)


  Discount rate         3 percent              Common
                                               practice




                                    Slide 22
What is the estimated cost of an assault?

Present value of adult corrections costs:
   Cost of Year 1          $13,851/(1+0.03)
   Cost of Year 2        $13,851/(1+0.03)^2
   Cost of Year 3        $13,851/(1+0.03)^3
   Cost of Year 4        $13,851/(1+0.03)^4
   Total present value             $51,485

   Add cost per year of imprisonment and
   incorporate time value of money.


                             Slide 23
What is the estimated cost of an assault?

 Adult Corrections:
  Number of convictions per offense           0.15 Table 2
  Probability of adult corrections given      0.35 Table 3
  conviction for assault
  Present value of prison costs            $51,485 See previous
                                                   slide.
  Total cost                                $2,703


  Multiply number of convictions per
  offense by probability of adult corrections
  and present value of prison costs.


                                            Slide 24
What is the estimated cost of an assault?

Use the same formula from prison costs to
calculate the costs for jail, probation, and
post-prison supervision:
      Number of convictions
      Probability of resource use
      Present value of costs




                                Slide 25
Example 1

What is the estimated cost of an assault?
    Victimization                    $20,153
    Arrest                              $214
    Conviction                          $732
    Adult Corrections                 $2,703
    Jail                                $560
    Probation                           $773
    Post-Prison Supervision             $553
    Total cost                       $25,688


                              Slide 26
The cost of an assault and other types
of crime
The cost of one assault is $25,688.
It is possible to calculate the cost of multiple
offenses.
It is also possible to change the unit measured
to calculate the cost of fewer arrests,
convictions, inmates, parolees, or probationers.




                                Slide 27
Questions?

Please raise your
hand. If the
moderator calls on
you, press *7 on
your phone to
un-mute your line.




                     Slide 28
Example 2:
Applying cost-benefit analysis
to Oregon drug courts




                  Slide 29
Example 2: Oregon Drug Courts

Are Oregon’s drug courts cost-beneficial for
100 drug court participants?
   Determine the impact of the initiative.
   Determine whose perspective(s) matter.
   Measure costs.
   Measure benefits (in dollars).
   Compare costs and benefits.



                              Slide 30
Determine the impact of the initiative.

Do we have an evaluation of drug courts in
our state?
   No, but WSIPP meta-analysis estimates a
    crime reduction of about 12% based on 57
    studies.




                              Slide 31
Determine the impact of the initiative.

Other considerations:
   Does the effectiveness of the program go
    down over time?
     Decay rate
   What crimes does the program apply to?
   How many years out does the program
    measure recidivism?



                            Slide 32
Determine whose perspectives matter.


State, federal, and local funding
Total costs or compared to alternative?




                              Slide 33
Measure costs.

What we know in Oregon:
   How much state funding goes to drug
    courts
   How many participants
   Can estimate state dollars per participant
Don’t know how much local funding
Don’t know how much “business as usual” costs


                              Slide 34
Measure benefits (in dollars).

Need to be clear on what benefits are being
measured
Tax benefits are a mixture of state and local
benefits
For Oregon drug court model, most benefits
were “costs avoided” (both taxpayer and victim )




                             Slide 35
Table 4: Recidivism of Drug Court and
Property Probationers Convicted in 1997




                         Slide 36
Table 5: Conviction Distribution for 100 Drug or
Property Probationers, 1997




                              Slide 37
Table 6: Estimated Convictions Avoided for 100
Drug Court Participants




                             Slide 38
Measure benefits (in dollars).
Taxpayer benefits (avoided costs):
   Costs per felony conviction
   Average number of convictions per 100
    participants (Table 6)
Victimization benefits (avoided costs):
   Costs per felony conviction
   Average number of convictions per 100
    participants (Table 6)

                               Slide 39
Table 7: Cost of an Adult Felony Conviction




                          Slide 40
Table 7: Cost of an Adult Felony Conviction

Table 7 changes the unit measured from the
 cost of an offense (as in Example 1) to cost of
 conviction.
To calculate cost of conviction, must use cost
 estimates (Table 1) and probabilities (Table 2).
Number of convictions averted is most common
 outcome measured in drug court evaluations.




                              Slide 41
Table 8: Estimated Taxpayer Benefit for 100
Drug Court Participants




                             Slide 42
Table 9: Estimated Crime Victim Benefit for 100
Drug Court Participants




                             Slide 43
Compare costs and benefits.

Total costs: $2,000 to $4,000 per participant
Total benefits: $4,100 per participant
For every dollar invested, we avoid $2.05 to
 $1.02 in costs.
Oregon decided to continue to fund drug courts,
 in part because of the vast amount of research
 on effectiveness of drug courts.




                               Slide 44
Questions?

            Mike Wilson
     SAC Director/Economist
Oregon Criminal Justice Commission
   Michael.K.Wilson@state.or.us
          (503) 378-4850



                       Slide 45
Wrap-Up




          Slide 46
Part 2 Review
Calculated the cost of an offense using real
numbers from Oregon

Built a cost-benefit analysis of an Oregon drug
court

Demonstrated how cost-benefit analysis can be
used in decision making




                              Slide 47
Series Review

Learned how to:
   Assess your state’s return on investment
    from criminal justice expenditures
   Explain the costs of crime and benefits
    from crime avoided
   Consume and produce high-quality
    cost-benefit analysis


                            Slide 48
Follow-up

Please complete the evaluation form as you leave this
 training.
To receive information and notifications about upcoming
 webinars and other events:
   • Visit the Cost-Benefit Knowledge Bank for Criminal Justice at
     http://www.cbkb.org.
   • Follow us on Twitter at http://www.twitter.com/CBKBank.




                                             Slide 49
Contact Information

Lora Krsulich
lkrsulich@vera.org
(917) 453-0931


cbkb@cbkb.org
http://www.cbkb.org




                      Slide 50
This project is supported by Grant No. 2009-MU-BX K029 awarded by the
Bureau of Justice Assistance. The Bureau of Justice Assistance is a
component of the Office of Justice Programs, which also includes the
Bureau of Justice Statistics, the National Institute of Justice, the Office of
Juvenile Justice and Delinquency Prevention, and the Office of Sex
Offender Sentencing, Monitoring, Apprehending, Registering, and
Tracking. Points of view or opinions in this document are those of the
author and do not represent the official position or policies of the United
States Department of Justice.




                                                                                 Slide 51
Thank you!




             Slide 52

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Part 2, Cost-Benefit Analysis for Justice Policy: A Step-By-Step Guide, PowerPoint Presentation

  • 1. Cost-Benefit Analysis for Justice Policy: A Step-By-Step Guide January 25, 2011 Mike Wilson, Oregon Criminal Justice Commission Lora Krsulich, Vera Institute of Justice Slide 1
  • 2. Cost-Benefit Analysis for Justice Policy: A Step-by-Step Guide January 25, 2011 Michael Wilson Lora Krsulich Oregon Criminal Justice Commission Vera Institute of Justice Slide 2
  • 3. The Cost-Benefit Knowledge Bank for Criminal Justice (CBKB) is a project of the Vera Institute of Justice funded by the U.S. Department of Justice’s Bureau of Justice Assistance. •Website (cbkb.org) •CBA toolkit •Snapshots of CBA literature •Podcasts, videocasts, and webinars •Roundtable discussions •Community of practice Slide 3
  • 4. Today’s Agenda Introduction and Housekeeping 5 minutes Review Data Tables 5 minutes Calculate the Cost of an Offense 15 minutes (Example 1) Apply Cost-Benefit Analysis to 20 minutes Oregon State Drug Courts (Example 2) Question and Answer 10 minutes Wrap-Up 5 minutes Slide 4
  • 5. Housekeeping items Questions  Use the chat feature to send us questions during the webinar.  Raise your hand to ask a question during a question and answer period. I will call on you and give you instructions for how to un-mute your phone line. Slide 5
  • 6. Housekeeping items (continued) Webinar support and troubleshooting  Call: (800) 843-9166  E-mail: help@readytalk.com Handout This webinar is being recorded. Slide 6
  • 7. Series Preview You will learn how to:  Assess your state’s return on investment from criminal justice expenditures  Explain the costs of crime and benefits from crime avoided  Consume and produce high-quality cost-benefit analysis Slide 7
  • 8. Part 1 Recap Discussed prison economics and return on investment from incarceration Deconstructed costs into their component parts: estimates, probabilities, and sentencing distributions Interpreted an effect size and demonstrated how effects sizes are used to produce CBA findings Slide 8
  • 9. Part 2 Preview You will learn how to: Calculate the cost of an offense using real numbers from Oregon Build a cost-benefit model Use cost-benefit analysis in decision making Slide 9
  • 10. Review Data Tables Slide 10
  • 11. Table 1: Oregon Cost Estimates Costs by crime type Costs by resource use Taxpayer and victim costs Slide 11
  • 12. Figure 1: Probability of Arrest, Conviction and Incarceration Offense Unreported Offenses Reported Offenses No Arrest Arrest No Conviction Conviction Department of Local Jail Probation Corrections Post-Prison Supervision Slide 12
  • 13. Table 2: Estimated Probability of Arrest and Conviction Probability Probability Probability Probability offense offense offense arrest reported leads to leads to leads to arrest conviction conviction Slide 13
  • 14. Table 3: Sentencing Distribution Probability Probability Probability Average conviction conviction conviction length of leads to leads to jail leads to sentence prison probation Slide 14
  • 15. Questions? Please raise your hand. If the moderator calls on you, press *7 on your phone to un-mute your line. Slide 15
  • 16. Example 1: Calculating the Cost of an Offense Slide 16
  • 17. Example 1 What is the estimated cost of an assault? Victimization $_______ Arrest $_______ Conviction $_______ Adult Corrections $_______ Jail $_______ Probation $_______ Post-Prison $_______ Supervision Slide 17
  • 18. What is the estimated cost of an assault? Victimization: Out-of-pocket victim costs $7,921 Table 1 Quality-of-life victim costs $12,232 Table 1 Total cost $20,153 Add out-of-pocket costs and quality-of-life costs. Slide 18
  • 19. What is the estimated cost of an assault? Arrest: Cost of arrest $670 Table 1 Probability of arrest 0.32 Table 2 Total cost $214 Multiply cost of an arrest by probability of arrest. Slide 19
  • 20. What is the estimated cost of an assault? Conviction: Cost of conviction $4,877 Table 1 Probability of conviction 0.15 Table 2 Total cost $732 Multiply cost of a conviction by probability of conviction. Slide 20
  • 21. What is the estimated cost of an assault? Adult Corrections: Number of convictions per 0.15 Table 2 offense Probability of adult corrections 0.35 Table 3 given conviction for assault Present value of prison costs Must calculate Total cost Multiply number of convictions per offense by probability of adult corrections and present value of prison costs. Slide 21
  • 22. What is the estimated cost of an assault? Present value of adult corrections costs: Unit of measurement Measure Source Cost per year $13,851 Table 1 Average length of 46.87 months Table 3 sentence (4 years) Discount rate 3 percent Common practice Slide 22
  • 23. What is the estimated cost of an assault? Present value of adult corrections costs: Cost of Year 1 $13,851/(1+0.03) Cost of Year 2 $13,851/(1+0.03)^2 Cost of Year 3 $13,851/(1+0.03)^3 Cost of Year 4 $13,851/(1+0.03)^4 Total present value $51,485 Add cost per year of imprisonment and incorporate time value of money. Slide 23
  • 24. What is the estimated cost of an assault? Adult Corrections: Number of convictions per offense 0.15 Table 2 Probability of adult corrections given 0.35 Table 3 conviction for assault Present value of prison costs $51,485 See previous slide. Total cost $2,703 Multiply number of convictions per offense by probability of adult corrections and present value of prison costs. Slide 24
  • 25. What is the estimated cost of an assault? Use the same formula from prison costs to calculate the costs for jail, probation, and post-prison supervision: Number of convictions Probability of resource use Present value of costs Slide 25
  • 26. Example 1 What is the estimated cost of an assault? Victimization $20,153 Arrest $214 Conviction $732 Adult Corrections $2,703 Jail $560 Probation $773 Post-Prison Supervision $553 Total cost $25,688 Slide 26
  • 27. The cost of an assault and other types of crime The cost of one assault is $25,688. It is possible to calculate the cost of multiple offenses. It is also possible to change the unit measured to calculate the cost of fewer arrests, convictions, inmates, parolees, or probationers. Slide 27
  • 28. Questions? Please raise your hand. If the moderator calls on you, press *7 on your phone to un-mute your line. Slide 28
  • 29. Example 2: Applying cost-benefit analysis to Oregon drug courts Slide 29
  • 30. Example 2: Oregon Drug Courts Are Oregon’s drug courts cost-beneficial for 100 drug court participants?  Determine the impact of the initiative.  Determine whose perspective(s) matter.  Measure costs.  Measure benefits (in dollars).  Compare costs and benefits. Slide 30
  • 31. Determine the impact of the initiative. Do we have an evaluation of drug courts in our state?  No, but WSIPP meta-analysis estimates a crime reduction of about 12% based on 57 studies. Slide 31
  • 32. Determine the impact of the initiative. Other considerations:  Does the effectiveness of the program go down over time? Decay rate  What crimes does the program apply to?  How many years out does the program measure recidivism? Slide 32
  • 33. Determine whose perspectives matter. State, federal, and local funding Total costs or compared to alternative? Slide 33
  • 34. Measure costs. What we know in Oregon:  How much state funding goes to drug courts  How many participants  Can estimate state dollars per participant Don’t know how much local funding Don’t know how much “business as usual” costs Slide 34
  • 35. Measure benefits (in dollars). Need to be clear on what benefits are being measured Tax benefits are a mixture of state and local benefits For Oregon drug court model, most benefits were “costs avoided” (both taxpayer and victim ) Slide 35
  • 36. Table 4: Recidivism of Drug Court and Property Probationers Convicted in 1997 Slide 36
  • 37. Table 5: Conviction Distribution for 100 Drug or Property Probationers, 1997 Slide 37
  • 38. Table 6: Estimated Convictions Avoided for 100 Drug Court Participants Slide 38
  • 39. Measure benefits (in dollars). Taxpayer benefits (avoided costs):  Costs per felony conviction  Average number of convictions per 100 participants (Table 6) Victimization benefits (avoided costs):  Costs per felony conviction  Average number of convictions per 100 participants (Table 6) Slide 39
  • 40. Table 7: Cost of an Adult Felony Conviction Slide 40
  • 41. Table 7: Cost of an Adult Felony Conviction Table 7 changes the unit measured from the cost of an offense (as in Example 1) to cost of conviction. To calculate cost of conviction, must use cost estimates (Table 1) and probabilities (Table 2). Number of convictions averted is most common outcome measured in drug court evaluations. Slide 41
  • 42. Table 8: Estimated Taxpayer Benefit for 100 Drug Court Participants Slide 42
  • 43. Table 9: Estimated Crime Victim Benefit for 100 Drug Court Participants Slide 43
  • 44. Compare costs and benefits. Total costs: $2,000 to $4,000 per participant Total benefits: $4,100 per participant For every dollar invested, we avoid $2.05 to $1.02 in costs. Oregon decided to continue to fund drug courts, in part because of the vast amount of research on effectiveness of drug courts. Slide 44
  • 45. Questions? Mike Wilson SAC Director/Economist Oregon Criminal Justice Commission Michael.K.Wilson@state.or.us (503) 378-4850 Slide 45
  • 46. Wrap-Up Slide 46
  • 47. Part 2 Review Calculated the cost of an offense using real numbers from Oregon Built a cost-benefit analysis of an Oregon drug court Demonstrated how cost-benefit analysis can be used in decision making Slide 47
  • 48. Series Review Learned how to:  Assess your state’s return on investment from criminal justice expenditures  Explain the costs of crime and benefits from crime avoided  Consume and produce high-quality cost-benefit analysis Slide 48
  • 49. Follow-up Please complete the evaluation form as you leave this training. To receive information and notifications about upcoming webinars and other events: • Visit the Cost-Benefit Knowledge Bank for Criminal Justice at http://www.cbkb.org. • Follow us on Twitter at http://www.twitter.com/CBKBank. Slide 49
  • 50. Contact Information Lora Krsulich lkrsulich@vera.org (917) 453-0931 cbkb@cbkb.org http://www.cbkb.org Slide 50
  • 51. This project is supported by Grant No. 2009-MU-BX K029 awarded by the Bureau of Justice Assistance. The Bureau of Justice Assistance is a component of the Office of Justice Programs, which also includes the Bureau of Justice Statistics, the National Institute of Justice, the Office of Juvenile Justice and Delinquency Prevention, and the Office of Sex Offender Sentencing, Monitoring, Apprehending, Registering, and Tracking. Points of view or opinions in this document are those of the author and do not represent the official position or policies of the United States Department of Justice. Slide 51
  • 52. Thank you! Slide 52