diff --git a/paper/paper.tex b/paper/paper.tex index 5b13f77..e97fb97 100644 --- a/paper/paper.tex +++ b/paper/paper.tex @@ -233,7 +233,7 @@ \subsection{Jackknife} This object can be passed to estimators to obtain an estimate of variance alongside the point estimate. -$\hat{\theta}$ represents the estimator computed using the original weights, and $\hat{\theta_{(hj)}}$ represents the estimator computed from the replicate weights obtained when PSU $j$ from cluster $h$ is removed. The variance is given by: +$\hat{\theta}$ represents the estimator computed using the original weights, and $\hat{\theta_{(hj)}}$ represents the estimator computed from the replicate weights obtained when PSU $j$ from cluster $h$ is removed. The variance is estimated as: \begin{equation} \hat{V}_{\text{JK}}(\hat{\theta}) = \sum_{h = 1}^H \dfrac{n_h - 1}{n_h}\sum_{j = 1}^{n_h}(\hat{\theta}_{(hj)} - \hat{\theta})^2