Fig. 2

Contour plot of model-based estimates of child BMI-Z score immediately following the 1-year intervention. Children with high levels of both intensive face-to-face and maintenance phone calls had the lowest predicted BMI-Z. The data table shows predicted BMI-Z values for representative combinations of intensive and maintenance dose. This model included the main effects of face-to-face dose, maintenance dose, and their interaction, controlling for baseline child BMI-Z, child age, child gender, and parent race/ethnicity. To estimate predicted values, the following covariate profile was selected: males with the mean baseline BMI-Z, mean baseline age, who had parents of Hispanic, Mexican origin. Models using a variety of other covariate profiles generated similar results. Predicted estimates are not shown when beyond the bounds of the dose combinations present in the data (e.g., combinations of many face-to-face sessions and few maintenance phone calls). See Additional file 1 for complete distribution of dose received and additional file 5 for predicted estimates at each specific dose combination