The National Agricultural Statistics Service of the U.S. Department of Agriculture has been using the delete-a-group jackknife (DAGJK) in an increasing number of its surveys. This article discusses the theory behind the DAGJK when the first-phase of sampling is stratified and there are a large number of sampled units per stratum, which is the case for many list-based surveys. It goes on to propose an extension of the DAGJK for use when the number of sampled units per stratum is less than the number of jackknife replicates.
The delete-a-group jackknife
Kott, P. (2001). The delete-a-group jackknife. Journal of Official Statistics, 17(4), 521-526. http://www.jos.nu/Articles/abstract.asp?article=174521