Behavioral dynamics of social propagation for weight loss: Evidence from a randomized controlled trial in a low-income Appalachian community
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).