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Table 2 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 with independent omitted factors or errors

From: Incorporating nonlinearity into mediation analyses

Family functioning x Lower bound \( L(x) \) on natural indirect effecta Upper bound \( U(x) \) on natural indirect effecta Normalized width \( W \) of the confidence intervalb
1 2.28 8.19 0.72
2 9.14 32.76 0.72
3 20.56 73.72 0.72
4 36.55 130.05 0.72
  1. aUsing 1,000 resamples
  2. b W = (U(x) − L(x))/U(x), which is constant in \( x \)