Erratum for “Implementing the Extended Multivariate Approach in Design with Partial Factors for a Retaining Wall in Clay” by Anders Prästings, Johan Spross, Rasmus Müller, Stefan Larsson, William Bjureland, and Fredrik Johansson

In Eqs. (8) and (9), the braces defining the measured or evaluated property, ${\delta }_i$, and transformation factor, $C_i$, are incorrectly stated. The correct equations are provided as follows:

An incorrect version of Table 4 was published. A mistake in the calculation of ${\mathrm{COV}}_{e,D_i}$ was found for which corrections are provided in the revised Table 4. The correct equation is ${\mathrm{COV}}_{e,D_i}^2=0.15{\mathrm{COV}}_{D_i}^2$ (in footnote e) and ${\mathrm{COV}}_{e,D_i}^2=0.3{\mathrm{COV}}_{D_i}^2$ (in footnote f). This causes subsequent errors in the estimation of the inherent (spatial) variability, ${\mathrm{COV}}_{sp,D_i}$, and the statistical uncertainty, ${\mathrm{COV}}_{st,{\overline{D}}_i}$, which were calculated according to Müller et al. (2014). In the corrected version of Table 4 both ${\mathrm{COV}}_{e,D_i}$ and ${\mathrm{COV}}_{e,{\overline{D}}_i}$ are incorporated for clarification. Corrected values in the table are in bold.

The correction to the coefficients of variation (COVs) in Table 4 requires a small subsequent modification of the total uncertainty ${\mathrm{COV}}_{{\overline{s}}_u|D_i}$ and of the posterior uncertainty ${\mathrm{COV}}_{{\overline{s}}_{\mathit{u}}}^{″}$ in Fig. 7. The effect on Fig. 8 is negligible.

The correction of ${\mathrm{COV}}_{{\overline{s}}_u}^{″}$ requires a small subsequent modification of the mean value of the posterior uncertainty, ${\overline{\mathrm{COV}}}_{{\overline{s}}_u}^{″}$ into 0.054, and the evaluated conversion factor, $\eta$, in Fig. 9. Thus, when $\alpha$ varies between 1.0 and 0.6, $\eta$ ranges from 1.16 to 1.29.

The correction of ${\overline{\mathrm{COV}}}_{{\overline{s}}_u}^{″}$ requires a subsequent modification of the evaluated flexible partial factor, ${\gamma }_M/\eta$, in Fig. 10. Thus, when $\alpha$ varies between 1.0 and 0.6, ${\gamma }_M/\eta$ ranges from 1.16 to 1.29.