Table 2 Factors associated with an ADHD diagnosis (results of two-level multivariable logistic regression analysis with approximately six million children and adolescents (level 1) residing in 402 districts (level 2). *The models adjusted for all variables in the table. The MOR and PCV were calculated using the formulas proposed by Merlo et al.18.

From: Trends and regional variations in the administrative prevalence of attention-deficit/hyperactivity disorder among children and adolescents in Germany

Variables

Total sample (n = 402 districts)

Rural areas with a low population density (n = 96 districts)

Rural areas with population concentrations (n = 103 districts)

Urban districts (n = 136 districts)

Big urban municipalities (n = 66 districts)

Fixed effects at the individual level

AOR & 95% CI

AOR & 95% CI

AOR & 95% CI

AOR & 95% CI

AOR & 95% CI

Sex: boys vs. girls

3.10 (3.07–3.13)

3.09 (3.02–3.16)

3.15 (3.08–3.22)

3.11 (3.06–3.15)

3.06 (3.01–3.12)

Age

   6 vs. 5 years

1.70 (1.65–1.76)

1.65 (1.53–1.78)

1.67 (1.55–1.80)

1.75 (1.66–1.84)

1.69 (1.59–1.80)

   7 vs. 5 years

3.04 (2.95–3.13)

2.73 (2.54–2.93)

2.86 (2.66–3.06)

3.23 (3.09–3.39)

3.08 (2.91–3.26)

   8 vs. 5 years

4.61 (4.48–4.74)

3.97 (3.71–4.25)

4.41 (4.13–4.72)

4.92 (4.70–5.15)

4.71 (4.46–4.97)

   9 vs. 5 years

5.67 (5.52–5.83)

4.84 (4.53–5.18)

5.61 (5.26–5.99)

6.03 (5.77–6.31)

5.75 (5.46–6.06)

   10 vs. 5 years

6.15 (5.98–6.32)

5.35 (5.01–5.72)

6.00 (5.62–6.40)

6.54 (6.26–6.84)

6.22 (5.91–6.56)

   11 vs. 5 years

6.21 (6.04–6.38)

5.32 (4.98–5.69)

6.15 (5.76–6.57)

6.64 (6.35–6.94)

6.22 (5.90–6.56)

   12 vs. 5 years

6.08 (5.91–6.24)

5.26 (4.92–5.61)

6.18 (5.79–6.59)

6.45 (6.17–6.75)

6.01 (5.70–6.34)

   13 vs. 5 years

5.86 (5.70–6.02)

5.08 (4.75–5.42)

5.91 (5.53–6.31)

6.23 (5.96–6.51)

5.80 (5.51–6.13)

   14 vs. 5 years

5.32 (5.18–5.47)

4.55 (4.26–4.87)

5.54 (5.19–5.91)

5.57 (5.32–5.83)

5.34 (5.06–5.63)

Fixed effects at the district level

Place of residence

   rural areas with a low population density

1.14 (1.00–1.30)

   rural areas with population concentrations

1.07 (0.94–1.21)

   urban districts

1.12 (0.99–1.25)

   big urban municipalities

reference

    

Socioeconomic deprivation index

   lowest deprivation

reference

reference

reference

reference

reference

   low deprivation

0.97 (0.88–1.08)

1.47 (0.74–2.91)

0.95 (0.76–1.19)

0.91 (0.79–1.05)

1.10 (0.87–1.40)

   medium deprivation

1.01 (0.91–1.13)

1.48 (0.76–2.89)

0.98 (0.79–1.23)

0.95 (0.82–1.11)

0.95 (0.74–1.21)

   high deprivation

1.12 (1.00–1.26)

1.62 (0.83–3.15)

1.14 (0.91–1.42)

1.09 (0.93–1.28)

1.03 (0.79–1.34)

   highest deprivation

1.00 (0.90–1.12)

1.42 (0.72–2.79)

1.11 (0.88–1.41)

0.95 (0.78–1.17)

0.89 (0.72–1.11)

Proportion of individuals with a foreign citizenship

   lowest quintile

1.29 (1.10–1.51)

0.78 (0.54–1.14)

1.71 (0.89–3.31)

1.55 (1.20–2.00)

1.32 (0.95–1.84)

   low quintile

1.24 (1.07–1.44)

0.84 (0.56–1.25)

1.68 (0.88–3.21)

1.42 (1.12–1.80)

0.96 (0.72–1.28)

   middle quintile

1.22 (1.05–1.40)

0.80 (0.53–1.20)

1.63 (0.86–3.09)

1.43 (1.13–1.81)

1.04 (0.82–1.33)

   high quintile

1.10 (0.96–1.26)

1.52 (0.77–2.99)

1.16 (0.94–1.45)

1.14 (0.94–1.39)

   highest quintile

reference

reference

reference

reference

reference

Density of paediatric psychiatrists (per 100,000 citizens)

   lowest quintile (<0.61)

reference

reference

reference

reference

reference

   low quintile (0.61–0.90)

1.02 (0.93–1.12)

1.12 (0.96–1.32)

1.04 (0.88–1.23)

0.92 (0.78–1.07)

0.93 (0.71–1.22)

   middle quintile (0.91–1.20)

1.23 (0.91–1.13)

0.98 (0.79–1.21)

1.32 (1.13–1.54)

1.24 (1.09–1.41)

1.16 (0.90–1.50)

   high quintile (1.21–1.80)

1.22 (1.00–1.26)

1.08 (0.83–1.40)

1.17 (0.92–1.50)

1.19 (1.01–1.39)

1.21 (0.86–1.69)

   highest quintile (>1.80)

1.22 (0.90–1.12)

1.22 (0.99–1.50)

1.20 (0.99–1.45)

1.40 (1.15–1.71)

1.03 (0.79–1.36)

Density of paediatricians (per 100,000 citizens)

   lowest quintile (<5.40)

reference

reference

reference

reference

reference

   low quintile (5.40–6.20)

0.94 (0.86–1.03)

1.02 (0.85–1.22)

0.86 (0.73–1.01)

0.93 (0.78–1.07)

0.83 (0.43–1.61)

   middle quintile (6.21–7.10)

0.96 (0.87–1.06)

1.08 (0.89–1.32)

0.82 (0.68–0.98)

1.24 (1.09–1.41)

0.97 (0.48–2.00)

   high quintile (7.11–8.50)

1.06 (0.95–1.19)

1.17 (0.85–1.63)

1.03 (0.83–1.28)

1.19 (1.01–1.39)

0.77 (0.40–1.47)

   highest quintile (>8.50)

1.12 (1.01–1.24)

1.06 (0.82–1.37)

1.08 (0.88–1.33)

1.22 (1.01–1.47)

0.90 (0.47–1.71)

Random effects

   Variance (SE) from the empty model

0.107 (0.0077)

0.098 (0.0147)

0.099 (1.0143)

0.111 (0.0137)

0.108 (0.0192)

   Variance (SE) from the final model

0.092 (0.0067)

0.089 (0.0133)

0.081 (0.0116)

0.070 (0.0087)

0.080 (0.0143)

   MOR (95% Crl) from the empty model

1.36 (1.33–1.39)

1.35 (1.29–1.40)

1.35 (1.29–1.40)

1.37 (1.32–1.42)

1.37 (1.29–1.44)

   MOR (95% Crl) from the final model

1.33 (1.30–1.36)

1.33 (1.27–1.38)

1.31 (1.26–1.36)

1.29 (1.24–1.32)

1.31 (1.24–1.37)

   PCV

−14%

−10%

−19%

−37%

−25%

  1. AOR, adjusted odds ratio; CI, confidence intervals; Crl, credible interval; MOR, median odds ratio; PCV, proportional change in variance; SE, standard error.