Correction to: Trend estimation for complex survey designs of water chemistry indicators from Sierra Nevada Lakes

Correction to: Environ Monit Assess (October 2018) 190:596

10.1007/s10661-018-6963-1

The original version of this article contained a misaligned equation. The following equation replaces the online printed on the 5th page of the article.

In our simulation, we considered detecting trend in the mean of a resource. We computed a design-based estimate of the mean in year j using the a Horvitz-Thompson estimator (Horvitz and Thompson 1952, Cordy 1993):

$${\widehat{\mu }}_j=\raisebox{1ex}{${\sum }_{i=1}^{n_j}\frac{y_{\mathit{ij}}}{{\pi }_{\mathit{ij}}}$}\!\left/ \!\raisebox{-1ex}{${\sum }_{i=1}^{n_j}\frac{1}{{\pi }_{\mathit{ij}}}$}\right.$$

where n_j is the sample size in year j, and is the inclusion probability evaluated at site i during year j.