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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 \( x \)