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Table 4 Bias-corrected bootstrapped \( 95\% \) confidence intervals for the monotonic mediation model for child adaptation as a function of family functioning as mediated by difficulty controlling for having Crohn’s disease or a bowel disorder and as moderated by having diabetes with independent omitted factors or errors

From: Incorporating nonlinearity into mediation analyses

Diabetesa Family functioning x Lower bound \( L(x) \) on natural indirect effectb Upper bound \( U(x) \) on natural indirect effectb Normalized width W of the confidence intervalc
no 1 0.029 0.18 0.84
no 2 0.93 5.72 0.84
no 3 7.09 43.43 0.84
no 4 29.88 183.00 0.84
  1. aThere was no mediation for the diabetes = yes case
  2. bUsing 1,000 resamples
  3. c W = (U(x) − L(x))/U(x), which is constant in \( x \)