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The Effects of Sanction Intensity on Criminal Conduct - JDAI Helpdesk

The Effects of Sanction Intensity on Criminal Conduct - JDAI Helpdesk

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<str<strong>on</strong>g>of</str<strong>on</strong>g>fender’s m<strong>on</strong>thly <str<strong>on</strong>g>of</str<strong>on</strong>g>fending rate in the year pre-random assignment. <str<strong>on</strong>g>The</str<strong>on</strong>g> m<strong>on</strong>thly<br />

<str<strong>on</strong>g>of</str<strong>on</strong>g>fending rate was calculated by dividing the number <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>of</str<strong>on</strong>g>fenses for which the <str<strong>on</strong>g>of</str<strong>on</strong>g>fender<br />

was charged that took place in the year prior to random assignment by the number <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

m<strong>on</strong>ths during that year that the <str<strong>on</strong>g>of</str<strong>on</strong>g>fender was able to <str<strong>on</strong>g>of</str<strong>on</strong>g>fend (i.e., was not in jail). Our<br />

dataset c<strong>on</strong>tained dummy variables showing whether or not the <str<strong>on</strong>g>of</str<strong>on</strong>g>fender was in jail<br />

during each m<strong>on</strong>th in that time period. We checked for multicollinearity between the<br />

race and SES variables by obtaining the correlati<strong>on</strong> coefficient for the two variables,<br />

which was 0.44. Although this is a fairly large coefficient, we also obtained the variance<br />

inflati<strong>on</strong> factors, which were all between 1 and 1.5 – well within the c<strong>on</strong>venti<strong>on</strong>al<br />

threshold for assessing multicollinearity.<br />

We account for time at risk post-random assignment slightly differently in each<br />

model. In count models, the logged number <str<strong>on</strong>g>of</str<strong>on</strong>g> m<strong>on</strong>ths at risk post-random assignment is<br />

included as the exposure or <str<strong>on</strong>g>of</str<strong>on</strong>g>fset variable, allowing us to estimate the incidence rate<br />

ratios for pers<strong>on</strong>-m<strong>on</strong>ths <str<strong>on</strong>g>of</str<strong>on</strong>g> follow-up time for the LIS versus SAU groups. In the binary<br />

and two-stage least squares models, we include the number <str<strong>on</strong>g>of</str<strong>on</strong>g> m<strong>on</strong>ths at risk as a c<strong>on</strong>trol<br />

variable. 13<br />

We lacked detailed informati<strong>on</strong> about time at risk, which is an important<br />

limitati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> our analysis. 14<br />

<str<strong>on</strong>g>The</str<strong>on</strong>g> format <str<strong>on</strong>g>of</str<strong>on</strong>g> our jail time data causes the most problems for assessing time at<br />

risk in the survival analysis model. As previously explained, survival analysis techniques<br />

allow us to assess whether experimental participants were <str<strong>on</strong>g>of</str<strong>on</strong>g>fenders or n<strong>on</strong>-<str<strong>on</strong>g>of</str<strong>on</strong>g>fenders <strong>on</strong><br />

a daily basis. Because we are <strong>on</strong>ly interested in the time to first <str<strong>on</strong>g>of</str<strong>on</strong>g>fense, <str<strong>on</strong>g>of</str<strong>on</strong>g>fenders who<br />

fail are removed from the risk set because they are no l<strong>on</strong>ger at risk <str<strong>on</strong>g>of</str<strong>on</strong>g> that first failure.<br />

However, <str<strong>on</strong>g>of</str<strong>on</strong>g>fenders who are in jail cannot <str<strong>on</strong>g>of</str<strong>on</strong>g>fend, so the days <strong>on</strong> which they are<br />

83

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