Table 4 Standardized Estimates for Model 1 and Model 4 on descriptive and injunctive parental and peer norms and snacking behavior

 Parental norm T1 → Parental norm T2

.35***

.05

.32***

.17*

.07

.17*

 Parental norm T2 → Parental norm T3

.46***

.05

.43***

.40***

.07

.35***

 Peer norm T1 → Peer norm T2

.22***

.06

.20***

.27***

.07

.27***

 Peer norm T2 → Peer norm T3

.36***

.08

.35***

.47***

.07

.44***

 Non-core T1 → Non-core T2

.26***

.04

.27***

.27***

.04

.27***

 Non-core T2 → Non-core T3

.27***

.07

.25***

.25***

.07

.25***

 Core T1 → Core T2

.30***

.04

.28***

.28***

.04

.28***

 Core T2 → Core T3

.24***

.06

.24***

.25***

.06

.24***

 Parental norm T1 → Non-core T2

–

–

−.04

−.05

.06

−.04

 Parental norm T2 → Non-core T3

–

–

−.17

−.21*

.10

−.13

 Parental norm T1 → Core T2

–

–

−.00

.16**

.05

.16**

 Parental norm T2 → Core T3

–

–

.17

.11

.10

.04

 Peer norm T1 → Non-core T2

–

–

.01

.05

.06

.06

 Peer norm T2 → Non-core T3

–

–

−.03

.03

.11

.08

 Peer norm T1 → Core T2

–

–

.07

−.13*

.06

−.15*

 Peer norm T2 → Core T3

–

–

.00

−.08

.13

−.14

 Non-core T1 → Parental norm T2

–

–

−.20*

-.19 ms

.11

−.17

 Non-core T2 → Parental norm T3

–

–

-.16 ms

.14

.09

.14

 Non-core T1 → Peer norm T2

–

–

−.12

−.02

.11

−.02

 Non-core T2 → Peer norm T3

–

–

−.12

−.06

.09

−.06

 Core T1 → Parental norm T2

–

–

−.07 .

−.14

.11

−.13

 Core T2 → Parental norm T3

–

–

−.07 .

.15

.09

.15

 Core T1 → Peer norm T2

–

–

−.05 .

.05

.11

.04

 Core T2 → Peer norm T3

–

–

−.03 .

−.10

.09

−.08

 Parental norm T1 ↔ Peer norm T1

.44***

.04

.40***

.48***

.03

.43***

 Parental norm T2 ↔ Peer norm T2

.50***

.05

.48***

.45***

.06

.42***

 Parental norm T3 ↔ Peer norm T3

.35***

.07

.35***

.32***

.06

.33***

 Parental norm T1 ↔ Non-core T1

−.24***

.04

−.22***

−.22***

.05

−.19***

 Parental norm T2 ↔ Non-core T2

−.17**

.06

−.15*

-.12 ms

.07

−.09

 Parental norm T3 ↔ Non-core T3

−.05

.08

.00

.06

.09

.03

 Parental norm T1 ↔ Core T1

.18***

.04

.16***

.18***

.04

.17***

 Parental norm T2 ↔ Core T2

.13

.06

.11 ms

.10 ms

.06

.12*

 Parental norm T3 ↔ Core T3

.08

.07

.05

.01

.07

.03

 Peer norm T1 ↔ Non-core T1

−.15***

.04

−.11**

−.12**

.04

-.08 ms

 Peer norm T2 ↔ Non-core T2

−.15*

.07

-.12 ms

−.10

.08

−.06

 Peer norm T3 ↔ Non-core T3

−.05

.08

−.04

.02

.08

−.03

 Peer norm T1 ↔ Core T1

.09*

.04

.06

.04

.04

.01

 Peer norm T2 ↔ Core T2

.03

.06

.00

.11

.07

.07

 Peer norm T3 ↔ Core T3

.08

.07

.08

.04

.08

.10

 Non-core T1 ↔ Core T1

−.79***

.02

−.79***

−.79***

.02

−.79***

 Non-core T2 ↔ Core T2

−.66***

.04

−.66***

−.66***

.04

−.66***

 Non-core T3 ↔ Core T3

−.74***

.05

−.73***

−.74***

.05

−.74***

 Parental DN T1 ↔ Parental IN T1

–

–

−.22***

–

–

.22***

 Parental DN T2 ↔ Parental IN T2

–

–

.17**

–

–

.17**

 Parental DN T3 ↔ Parental IN T3

–

–

.36***

–

–

.36***

 Parental DN T1 ↔ Peer IN T1

–

–

.40***

–

–

.40***

 Parental DN T2 ↔ Peer IN T2

–

–

.48***

–

–

.48***

 Parental DN T3 ↔ Peer IN T3

–

–

.35***

–

–

.35***

 Peer DN T1 ↔ Peer IN T1

–

–

.17***

–

–

.17***

 Peer DN T2 ↔ Peer IN T2

–

–

.11 ms

–

–

.11 ms

 Peer DN T3 ↔ Peer IN T3

–

–

.30***

–

–

.30***

 BMI T1 → Core T1

.02

.04

.02

.02

.04

.02

 Age T1 → Core T1

−.11**

.04

−.11**

−.11**

.04

−.11**

 Sex T1 → Core T1

.05

.04

.05

.05

.04

.05

 BMI T1 → Non-core T1

−.07*

.04

−.07*

−.07*

.04

−.07*

 Age T1 → Non-core T1

.12**

.04

.12**

.12**

.04

.12**

 Sex T1 → Non-core T1

−.02

.04

−.02

−.02

.04

−.02

 BMI T1 → Parental norms T1

.05

.04

.05

−.05

.04

−.05

 Age T1 → Parental norms T1

−.11**

.04

−.11**

.04

.04

.04

 Sex T1 → Parental norms T1

.08*

.04

.09*

.05

.04

.05

 BMI T1 → Peer norms T1

.05

.04

.05

.02

.04

.01

 Age T1 → Peer norms T1

−.11**

.04

−.10**

−.03

.04

−.03

 Sex T1 → Peer norms T1

.08*

.04

.08*

.06

.04

.07