Table 2. Regression model and estimates of annual percent variation of the tooth extraction ratio and the average of supervised toothbrushing and the difference in time variation according to the Municipal Human Development Index (MHDI) from 2008 to 2015 in Brazil.

		Tooth extraction ratio	Average of supervised toothbrushing
Year (time)		-0.0397 (-0.0479 to -0.0315)	-0.0981 (-0.1158 to -0.0800)
MHDI
	Medium	23.35 (2.39–44.32)	-104.87 (-149.91 to -59.83)
	High + very high	20.33 (-1.09–41.76)	-152.89 (-198.98 to -106.80)
Population size
	< 5 k
	5–9.9 k	0.0982 (0.0450–0.1515)	-0.3699 (-0.4828 to -.2571)
	10–49.9 k	0.2030 (0.1539–0.2521)	-0.7794 (-0.8834 to -0.6755)
	> 50 k	0.1057 (0.0338–0.1777)	-1.0731 (-1.2246 to -0.9217
Interaction MHDI * year
	Medium	-0.0118 (-0.0222 to - 0.0014)	0.0523 (0.0300–0.0748)
	High + very high	-0.0105 (-0.0212 to - 0.0002)	0.0764 (0.0539–0.0992)
	Intercept	82.50 (65.93–99.07)	196.95 (161.24–232.66)
Random effects parameters
	Variance (standard error) (year)	0.0153 (0.0004)	0.0644 (0.0020)
	Variance (standard error) (_cons)	6204.22 (181.72)	26102.7 (813.6)
	Covariance (standard error) (year,_cons)	-30.85 (0.90)	-129.74 (4.04)
Marginal estimates – Annual variation of indicator (Y variation / time variation – DY/DT)
	Low + very low MHDI	-0.0397 (-0.0479 to -.0315)	-0.0981 (-0.1158 to -0.0803)
	Medium MHDI	-0.0515 (-0.0579 to -0.0451)	-0.0457 (-0.0593 to -0.0320)
	High + very high MHDI	-0.0502 (-0.0569 to -0.0434)	-0.0217 (-0.0362 to -0.0072)
Wald test – difference among slopes
	Low + very low x medium	0.0118 (p = 0.026)	-0.0524 (p < 0.001)
	Low + very low x high + very high	0.0105 (p = 0.053)	-0.0763 (p < 0.001)
	Medium x high + very high	-0.0013 (p = 0.781)	-0.0239 (p = 0.018)

^*The models were adjusted for the proportion of women, older adults, residents in rural areas, and fluoride presence in water supply.