Table 3 Interaction of each independent variable in the SCR of deciduous tooth extraction

The rate of S-FMR utilization (per person) (%)

-0.10

(-0.21; 0.003)

-0.11

(-0.20; -0.01)*

-0.104

(-0.200; -0.008)*

-0.46

(-0.70; -0.21)*

-0.63

(-1.32; 0.05)

-0.11

(-0.20; -0.01)*

Subsidy policy (REF: Co-pay until children enters elementary school)

No co-payment until children enters elementary school

8.70

(-3.3; 20.71)

12.34

(-3.91; 28.58)

51.12

(1.15; 101.09)*

11.45

(3.47; 19.44)*

11.13

(2.84; 19.42)*

11.42

(3.12; 19.71)*

Co-payment continuing beyond elementary school

2.56

(-1.5; 6.62)

-10.37

(-24.14; 3.39)

15.72

(-13.73; 45.16)

2.79

(-0.85; 6.43)

2.56

(-1.21; 6.32)

2.00

(-1.76; 5.75)

SCR of dental sealants

0.12

(0.05; 0.19)*

0.11

(0.01; 0.21)

0.13

(0.07; 0.20)*

0.04

(-0.04; 0.13)

0.12

(0.05; 0.19)*

0.40

(0.03; 0.77)*

Per capita prefectural income (1,000 JPY)

0.01

(0.0003; 0.02)*

0.01

(0.002; 0.017)*

0.010

(0.002; 0.024)*

0.01

(-0.001; 0.014)

0.01

(-0.002; 0.014)

0.020

(0.003; 0.029)*

The rate of Industrial Structure 3 (Service / Commerce) (%)

0.52

(0.05; 0.98)*

0.50

(0.05; 0.96)*

0.49

(0.03; 0.96)*

0.53

(0.09; 0.96)*

0.58

(0.12; 1.03)*

0.450

(-0.008; 0.914)

Number of families (per household)

14.59

(-4.50; 33.69)

16.17

(-1.75; 34.1)

14.63

(-3.23; 32.50)

14.26

(-3.21; 31.73)

18.38

(0.07; 36.68)*

14.42

(-3.75; 32.58)

Percentage of the nuclear family (%)

-0.34

(-1.17; 0.49)

-0.30

(-1.09; 0.49)

-0.26

(-1.05; 0.53)

-0.31

(-1.08; 0.46)

-0.37

(-1.17; 0.43)

-0.41

(-1.22; 0.40)

Percentage of households living with older adults (%)

0.39

(-0.26; 1.04)

0.46

(-0.17; 1.09)

0.36

(-0.29; 1.01)

0.47

(-0.15; 1.08)

0.36

(-0.28; 0.99)

0.41

(-0.22; 1.05)

Total fertility rate (%)

-13.21

(-33.83; 7.41)

-10.84

(-30.87; 9.18)

-8.77

(-29.12; 11.57)

-14.7

(-34.23; 4.84)

-10.44

(-30.49; 9.62)

-7.74

(-28.25; 12.76)

Percentage of college graduates (%)

-0.79

(-1.71; 0.14)

-0.69

(-1.60; 0.21)

-0.83

(-1.74; 0.09)

-0.70

(-1.59; 0.19)

-0.72

(-1.64; 0.20)

-0.65

(-1.58; 0.28)

The unemployment rate (%)

1.03

(-0.32; 2.38)

1.03

(-0.29; 2.35)

1.11

(-0.22; 2.44)

1.11

(-0.17; 2.39)

1.089

(-0.23; 2.41)

1.05

(-0.26; 2.37)

The number of dentists working in private dental office (per 100,000 people)

0.08

(-0.14; 0.30)

0.05

(-0.17; 0.26)

0.09

(-0.12; 0.31)

0.12

(-0.08; 0.33)

0.13

(-0.09; 0.35)

0.07

(-0.14; 0.28)

Interaction term policy and S-FMR (REF: Co-pay until children enters elementary school * S-FMR)

No co-payment until children enters elementary school * S-FMR

0.21

(-0.45; 0.87)

Co-payment continuing beyond elementary school * S-FMR

-0.04

(-0.25; 0.17)

Interaction term policy and dental sealant (REF: Co-pay until children enters elementary school * SCR of dental sealants)

No co-payment until children enters elementary school * S-FMR

-0.02

(-0.16; 0.13)

Co-payment continuing beyond elementary school * S-FMR

0.12

(-0.01; 0.24)

Interaction term policy and prefectural income (REF: Co-pay until children enters elementary school * Per capita prefectural income)

No co-payment until children enters elementary school * S-FMR

-0.013

(-0.03; 0.003)

Co-payment continuing beyond elementary school * S-FMR

-0.005

(-0.015; 0.006)

Interaction term S-FMR and SCR of dental sealants

0.004

(0.001;0.01)*

Interaction term S-FMR and Per capita prefectural income

0.0002

(-0.0001; 0.0004)

Interaction term SCR of dental sealants and per capita prefectural income

-0.00009

(-0.0002; 0.00003)