(a) Nonparametric causal diagram (DAG) representing the hypothesised
data-generating process for k longitudinal measurements
of exposure x (i.e.
x1,x2,…,xk),
one distal outcome y , and one time-invariant
confounder m . The terms
em,
ex1,…,exk
and ey represent all unexplained causes of
m,
x1,…,xk,
and y, respectively, and are included to explicitly
reflect uncertainty in all endogenous nodes (whether modelled or
not).(b) Path diagrams depicting the k standard
regression models that would be constructed to estimate the total causal
effect of each of
x1,x2,…,xk
on y (i.e. equation (9)). For each model,
only the final coefficient may be interpreted as a total causal effect;
all other coefficients are greyed to illustrate that no such
interpretation should be made for them. (c) Path diagrams depicting the
UR model, consisting of k − 1 preparation regressions
(i.e. equation (10)) and a final
composite regression model (i.e. equation (11), with
i = k ).