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Table 3 Beta regression model for predicting jail population per capita

From: The relationship between community public health, behavioral health service accessibility, and mass incarceration

 

Estimate

standard error

Z-score

p-value

(Intercept)

-5.263

0.016

-332.413

 < .001

Income inequality

0.009

0.015

0.554

0.580

High school graduation rate

-0.054

0.013

-4.046

 < .001**

County size Medium vs Small

-0.156

0.059

-2.659

0.008**

County size Large vs Small

-0.335

0.123

-2.712

0.007**

Poor physically unhealthy days

0.144

0.017

8.616

 < .001**

Primary care physician rate

0.007

0.018

0.405

0.686

Health care costs

0.089

0.016

5.701

 < .001**

Percent of drug treatment paid by Medicaid

-0.049

0.013

-3.664

 < .001**

Psychiatrists per capita

-0.039

0.018

-2.159

0.031*

Community MH centers per capita

0.009

0.014

0.604

0.546

Violent crime rate

-0.011

0.019

-0.59

0.555

Police per capita

0.150

0.017

8.736

 < .001**

  1. ** represents significance at the 0.01 level in a two-tailed test; * represents significance at the 0.05 level in a two-tailed test
  2. Note 1: Considering that beta regression models use a log transformation when modeling the response variable, estimates/coefficients need to be exponentiated before reporting/interpreting the strength to which they contribute to explaining the response variation
  3. Note 2: The z-scores indicate the strength of the relationship between each predictor and the outcome variable while holding everything else constant, and the p-value column is used to evaluate whether each variable plays a statistically significant role in predicting the outcome. The direction of the relationship is designated by whether the z-score is negative or positive