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. Author manuscript; available in PMC: 2023 Sep 1.
Published in final edited form as: Ann Epidemiol. 2022 Jun 17;73:30–37. doi: 10.1016/j.annepidem.2022.06.002

Table 3.

Spatial Linear Models of Child Maltreatment Report Rates (per 1,000 children) by Age and Maltreatment Type, Illinois Zip Codes, 2011-2018.

Coefficient (95% confidence interval)
Coefficient relative to mean Y (95% confidence interval)
Age-specific report rate Age 0-5
N1=10,545; N2=1,347
Age 6-11
N1=10,547; N2=1,350
Age 12-17
N1=10,575; N2=1,348
Age 0-5
Mean Y=51.6
Age 6-11
Mean Y=45.2
Age 12-17
Mean Y=34.9
Food insecurity rate
(1 unit=10-percentage-point)
 Within-effect 6.8 (3.2, 10.3) 10.8 (7.7, 13.8) 9.2 (6.7, 11.6) 13.1% (6.2, 20.0) 23.8% (16.9, 30.6) 26.3% (19.3, 33.2)
 Within-effect×Small urban 12.3 (6.8, 17.8) 13.3 (8.6, 18.0) 9.8 (6.2, 13.3) 23.9% (13.2, 34.6) 29.4% (18.9, 39.9) 28.0% (17.8, 38.2)
 Within-effect×Rural 8.5 (2.6, 14.4) 6.7 (1.7, 11.7) −0.8 (−4.7, 3.2) 16.5% (5.1, 27.9) 14.8% (3.7, 25.9) −2.2% (−13.4, 9.1)
 Between-effect 16.0 (5.7, 26.4) 15.8 (7.5, 24.2) 12.3 (6.6, 18.0) 30.9% (11.1, 51.1) 34.9% (16.6, 53.5) 35.2% (18.9, 51.7)
 
Type-specific report rate Neglect
N1=10,720; N2=1,358
Physical abuse
N1=10,720; N2=1,358
Sexual abuse
N1=10,720; N2=1,358
Neglect
Mean Y=21.5
Physical abuse
Mean Y=10.3
Sexual abuse
Mean Y=5.2

Food insecurity rate
(1 unit=10-percentage-point)
 Within-effect 6.2 (4.8, 7.6) 1.5 (0.8, 2.2) 0.4 (−0.2, 0.9) 28.8% (22.2, 35.4) 14.6% (7.9, 21.2) 7.2% (−3.2, 17.6)
 Within-effect×Small urban 4.5 (2.2, 6.7) 3.8 (2.9, 4.8) 2.9 (2.2, 3.5) 20.7% (10.4, 31.0) 37.1% (27.7, 46.8) 55.0% (42.1, 67.8)
 Within-effect×Rural −0.7 (−3.0, 1.6) 1.8 (0.7, 2.9) 2.4 (1.5, 3.2) −3.3% (−14.1, 7.4) 17.0% (6.5, 27.7) 45.5% (28.9, 61.9)
 Between-effect 10.0 (5.7, 14.4) 3.3 (1.6, 5.0) 2.3 (1.3, 3.5) 46.5% (26.5, 66.7) 32.0% (15.6, 48.1) 44.9% (24.0, 66.0)

Note. N1 = number of zip code-year observations. N2 = number of zip codes. Each model included a first-order temporal autoregressive random effect, a spatially conditional autoregressive random effect based on a first-order queen contiguity matrix, and all control variables (i.e., year-fixed effects, urbanicity, % children in poverty, % single-parent households, % persons aged ≥ 25 years with no high school diploma, median owner-occupied house values, % vacant housing units, % Black among children, % Latino among children, % foreign-born among persons, % children aged ≤ 17 years among persons, % male among adults aged 20-64 years, % elderly persons aged ≥ 65 years, % moved within one year among persons, and % children with disabilities). All estimates were weighted by the child population in each zip code. Boldface indicates statistical significance (p < .05).