Poisson-Based Regression Analysis of Aggregate Crime Rates
This article introduces the use of regression models based on the Poisson distribution as a tool for resolving common problems in analyzing aggregate crime rates. When the population size of an aggregate unit is small relative to the offense rate, crime rates must be computed from a small number of...
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| Published in | Journal of quantitative criminology Vol. 16; no. 1; pp. 21 - 43 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
New York
Kluwer Academic/Plenum Publishers
01.03.2000
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0748-4518 1573-7799 |
| DOI | 10.1023/A:1007521427059 |
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| Abstract | This article introduces the use of regression models based on the Poisson distribution as a tool for resolving common problems in analyzing aggregate crime rates. When the population size of an aggregate unit is small relative to the offense rate, crime rates must be computed from a small number of offenses. Such data are ill-suited to least-squares analysis. Poisson-based regression models of counts of offenses are preferable because they are built on assumptions about error distributions that are consistent with the nature of event counts. A simple elaboration transforms the Poisson model of offense counts to a model of per capita offense rates. To demonstrate the use and advantages of this method, this article presents analyses of juvenile arrest rates for robbery in 264 nonmetropolitan counties in four states. The negative binomial variant of Poisson regression effectively resolved difficulties that arise in ordinary least-squares analyses. |
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| AbstractList | This article introduces the use of regression models based on the Poisson distribution as a tool for resolving common problems in analyzing aggregate crime rates. When the population size of an aggregate unit is small relative to the offense rate, crime rates must be computed from a small number of offenses. This article introduces the use of regression models based on the Poisson distribution as a tool for resolving common problems in analyzing aggregate crime rates. When the population size of an aggregate unit is small relative to the offense rate, crime rates must be computed from a small number of offenses. Such data are ill-suited to least-squares analysis. Poisson-based regression models of counts of offenses are preferable because they are built on assumptions about error distributions that are consistent with the nature of event counts. A simple elaboration transforms the Poisson model of offense counts to a model of per capita offense rates. To demonstrate the use and advantages of this method, this article presents analyses of juvenile arrest rates for robbery in 264 nonmetropolitan counties in four states. The negative binomial variant of Poisson regression effectively resolved difficulties that arise in ordinary least-squares analyses. This article introduces the use of regression models based on the Poisson distribution as a tool for resolving common problems in analyzing aggregate crime rates. When the population size of an aggregate unit is small relative to the offense rate, crime rates must be computed from a small number of offenses. Such data are ill-suited to least-squares analysis. Poisson-based regression models of counts of offenses are preferable because they are built on assumptions about error distributions that are consistent with the nature of event counts. A simple elaboration transforms the Poisson model of offense counts to a model of per capita offense rates. To demonstrate the use & advantages of this method, this article presents analyses of juvenile arrest rates for robbery in 264 nonmetropolitan counties in four states. The negative binomial variant of Poisson regression effectively resolved difficulties that arise in ordinary least-squares analyses. 2 Tables, 3 Figures, 18 References. Adapted from the source document. This article introduces the use of regression models based on the Poissondistribution as a tool for resolving common problems in analyzing aggregatecrime rates. When the population size of an aggregate unit is small relativeto the offense rate, crime rates must be computed from a small number ofoffenses. Such data are ill-suited to least-squares analysis. Poisson-basedregression models of counts of offenses are preferable because they arebuilt on assumptions about error distributions that are consistent withthe nature of event counts. A simple elaboration transforms the Poissonmodel of offense counts to a model of per capita offense rates. Todemonstrate the use and advantages of this method, this article presentsanalyses of juvenile arrest rates for robbery in 264 nonmetropolitancounties in four states. The negative binomial variant of Poisson regressioneffectively resolved difficulties that arise in ordinary least-squaresanalyses. |
| Author | Osgood, D. Wayne |
| Author_xml | – sequence: 1 givenname: D. Wayne surname: Osgood fullname: Osgood, D. Wayne |
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| CODEN | JQCRE6 |
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| Cites_doi | 10.1016/0277-9536(94)90037-X 10.1111/j.1745-9125.2000.tb00884.x 10.1037/0033-2909.118.3.392 10.1111/j.1745-9125.1993.tb01133.x 10.4135/9781412984577 10.1111/j.1745-9125.1993.tb01139.x 10.1017/CBO9780511814365 10.1111/j.1745-9125.1991.tb01057.x 10.1126/science.277.5328.918 10.1007/978-1-4899-3242-6 10.1111/j.1745-9125.1990.tb01325.x |
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| SubjectTerms | Aggregate Data Arrest rates Arrests Binomials Censuses Crime Crime Rates Criminal offenses Criminal statistics Criminology Elaboration Juvenile Offenders Methodology (Data Analysis) Minors Modeling Offenses Per capita Poisson distribution Population Population size Regression Analysis Robbery Statistical variance Variables |
| Title | Poisson-Based Regression Analysis of Aggregate Crime Rates |
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