Fig 1.
A. Specify a threshold (x-axis) for weight change above (below) which absolute value positive/negative weight changes are classified as R-naught(gain) and R-naught(loss) from a neutral level.
B. Perform ordinary least squares regression on each of six non-self transitions between these three classes, for each subject eligible to so transition against their number of contacts likewise transitioning in the previous period. Coefficients from the four transitions involving loss (gain) are used to compute R0,l (R0,g), which difference yields R0 (previous panel y-axis). C. Performing the preceding steps for the treatment arm and the control arms separately yields R0,A (R0,C), respectively, which difference divided by the absolute value of the latter yields Rc. D. Numerically integrating Rc up to the qth percentile of the histogram of all subjects’ weight changes (shown), weighted by the latter, yields the so-weighted average, or the overall Net Social R-naught(weighted).
Fig 2.
A. Net R0(Loss-Gain) calculation: For a given threshold, subjects are classified as gained, lost or neutral; OLS regression is done for each of the corresponding pairwise transitions; and those not involving gained (lost) are combined to yield R0,l (R0,g); the difference of which yields Net R0(Loss-Gain) at each weight change threshold.
B. This procedure is separately applied to treatment and control subjects, respectively yielding R0,A and R0,C; the difference of which, divided by the absolute value of the latter, yields Rc; which is then numerically integrated with respect to the histogram of (all subjects’) weight changes to yield , e.g., in case q = 90, up to the 90th percentile.
Table 1.
Baseline characteristics of Kentucky trial participants.
Table 2.
Causal Effect Ratio of Social R0 Reproductive Number (0-90th percentile) in Classrooms over all intervention and control sessions of the randomized trial.
Table 3.
Body Weight histogram threshold-weighted average Rc up to 75th, 80th, and 90th percentiles.