Closer than they appear: A Bayesian perspective on individual‐level heterogeneity in risk assessment
Risk assessment instruments are used across the criminal justice system to estimate the probability of some future event, such as failure to appear for a court appointment or re‐arrest. The estimated probabilities are then used in making decisions at the individual level. In the past, there has been...
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Veröffentlicht in: | Journal of the Royal Statistical Society. Series A, Statistics in society Statistics in society, 2022-04, Vol.185 (2), p.588-614 |
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creator | Lum, Kristian Dunson, David B. Johndrow, James |
description | Risk assessment instruments are used across the criminal justice system to estimate the probability of some future event, such as failure to appear for a court appointment or re‐arrest. The estimated probabilities are then used in making decisions at the individual level. In the past, there has been controversy about whether the probabilities derived from group‐level calculations can meaningfully be applied to individuals. Using Bayesian hierarchical models applied to a large longitudinal dataset from the court system in the state of Kentucky, we analyse variation in individual‐level probabilities of failing to appear for court and the extent to which it is captured by covariates. We find that individuals within the same risk group vary widely in their probability of the outcome. In practice, this means that allocating individuals to risk groups based on standard approaches to risk assessment, in large part, results in creating distinctions among individuals who are not meaningfully different in terms of their likelihood of the outcome. This is because uncertainty about the probability that any particular individual will fail to appear is large relative to the difference in average probabilities among any reasonable set of risk groups. |
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The estimated probabilities are then used in making decisions at the individual level. In the past, there has been controversy about whether the probabilities derived from group‐level calculations can meaningfully be applied to individuals. Using Bayesian hierarchical models applied to a large longitudinal dataset from the court system in the state of Kentucky, we analyse variation in individual‐level probabilities of failing to appear for court and the extent to which it is captured by covariates. We find that individuals within the same risk group vary widely in their probability of the outcome. In practice, this means that allocating individuals to risk groups based on standard approaches to risk assessment, in large part, results in creating distinctions among individuals who are not meaningfully different in terms of their likelihood of the outcome. 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In practice, this means that allocating individuals to risk groups based on standard approaches to risk assessment, in large part, results in creating distinctions among individuals who are not meaningfully different in terms of their likelihood of the outcome. This is because uncertainty about the probability that any particular individual will fail to appear is large relative to the difference in average probabilities among any reasonable set of risk groups.</description><subject>algorithmic fairness</subject><subject>automated decision making</subject><subject>Bayesian</subject><subject>Bayesian analysis</subject><subject>Crime</subject><subject>Criminal justice system</subject><subject>Decision making</subject><subject>Heterogeneity</subject><subject>multilevel model</subject><subject>Probability</subject><subject>Risk allocation</subject><subject>Risk assessment</subject><subject>State courts</subject><subject>Uncertainty</subject><issn>0964-1998</issn><issn>1467-985X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kM1Kw0AQxxdRsFYvPsGCNyF1d5Psh7da_IKCYBW8LdtkYremSdxJK7n5CD6jT2JqPfs_zMDwmxn4EXLK2Yj3uQiIbsSFMmKPDHgiVWR0-rJPBszIJOLG6ENyhLhk2yg1IMWkrBECbReu6gt01DUNuHBJx_TKdYC-nzcQsIGs9RugdUV9lfuNz9eu_P78KmEDJV1AC6F-hQp82_UADR7fqEMExBVU7TE5KFyJcPLXh-T55vppchdNH27vJ-NplMVSiEiqmOWZ5MJA7gzL0kSZhPPYSC1FnKUi1Ukyh4ILcFooUejCMJ5rJcRcCc3iITnb3W1C_b4GbO2yXoeqf2mFTGMmYmPinjrfUVmoEQMUtgl-5UJnObNbj3br0f567GG-gz98Cd0_pH2czca7nR-jf3Z8</recordid><startdate>202204</startdate><enddate>202204</enddate><creator>Lum, Kristian</creator><creator>Dunson, David B.</creator><creator>Johndrow, James</creator><general>Oxford University Press</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8BJ</scope><scope>8FD</scope><scope>FQK</scope><scope>JBE</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0003-2637-5612</orcidid></search><sort><creationdate>202204</creationdate><title>Closer than they appear: A Bayesian perspective on individual‐level heterogeneity in risk assessment</title><author>Lum, Kristian ; Dunson, David B. ; Johndrow, James</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3622-6730dc6129eda90c54794113968623c525844bef12ea8272f8f901d8722b72803</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>algorithmic fairness</topic><topic>automated decision making</topic><topic>Bayesian</topic><topic>Bayesian analysis</topic><topic>Crime</topic><topic>Criminal justice system</topic><topic>Decision making</topic><topic>Heterogeneity</topic><topic>multilevel model</topic><topic>Probability</topic><topic>Risk allocation</topic><topic>Risk assessment</topic><topic>State courts</topic><topic>Uncertainty</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lum, Kristian</creatorcontrib><creatorcontrib>Dunson, David B.</creatorcontrib><creatorcontrib>Johndrow, James</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>International Bibliography of the Social Sciences (IBSS)</collection><collection>Technology Research Database</collection><collection>International Bibliography of the Social Sciences</collection><collection>International Bibliography of the Social Sciences</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of the Royal Statistical Society. 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issn | 0964-1998 1467-985X |
language | eng |
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source | EBSCOhost Business Source Complete; Access via Wiley Online Library; Oxford University Press Journals All Titles (1996-Current) |
subjects | algorithmic fairness automated decision making Bayesian Bayesian analysis Crime Criminal justice system Decision making Heterogeneity multilevel model Probability Risk allocation Risk assessment State courts Uncertainty |
title | Closer than they appear: A Bayesian perspective on individual‐level heterogeneity in risk assessment |
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