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. Author manuscript; available in PMC: 2016 Apr 1.
Published in final edited form as: Am J Prev Med. 2015 Jan 6;48(4):436–444. doi: 10.1016/j.amepre.2014.10.022

Table 1.

Key Mediation Model Regression Coefficients

Coefficienta Association Interpretation:
1-1-1 State-District-School Models
(Policy/School Availability)
2-2-1 State-School-Student Models
(Policy/School Availability/Student
Consumption)
A X→M Direct association between state policy
banning school competitive venue soda (X)
and the likelihood that a district has a similar
ban (M)
Direct association between state policy
banning school competitive venue soda (X)
and the likelihood that a school has
competitive venue soda available (M)
B M→Y Direct association between district policy
banning school competitive venue soda (M)
and the likelihood that a school has
competitive venue soda (Y), controlling for
state policy (X)
Direct association between school
competitive venue soda (M) and the
proportion of students in a school reporting
drinking soda daily (latent school-level Y),
controlling for state policy (X)
C X→Y Direct association between state policy
banning school competitive venue soda (X)
and the likelihood that a school has
competitive venue soda (Y), controlling for
district policy (M)
Direct association between state policy
banning school competitive venue soda (X)
and the proportion of students in a school
reporting drinking soda daily (latent school-
level Y), controlling for school availability (M)
a*b X→M→Y Association sequence between state policy
(X) and school competitive venue soda (Y):

Mediation: Significant overall association
between state policy (X) and school soda
(Y); district policy (M) transmits at least part
of the significant association.

Indirect effect: No significant overall
association between state policy (X) and
school soda (Y); state policy indirectly
effects school soda by having a significant
effect on district policy (M), which then has
a significant effect on school soda (Y).
Association sequence between state policy
(X) and student daily soda consumption
(latent school-level Y):

Mediation: Significant overall association
between state policy (X) and student
consumption (latent school-level Y); school
availability (M) transmits at least part of the
significant association.

Indirect effect: No significant overall
association between state policy (X) and
student consumption (latent school-level Y);
state policy indirectly effects student
consumption by having a significant effect
on school soda availability (M), which then
has a significant effect on student
consumption (latent school-level Y).
a

Coefficients listed indicate non-standardized multivariate regression coefficients.