How can we know how many cluster to take as a sample in cluster sampling?

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David Eugene Booth

See either Cochran, Sampling Techniques or Schaefer et al, Elementary Survey Sampling. Best wishes, David Booth

James R Knaub

Also, perhaps see the following open access paper by Valliant, Dever, and Kreuter(2015):

https://www.researchgate.net/publication/289175596_Effects_of_Cluster_Sizes_on_Variance_Components_in_Two-Stage_Sampling.

The article is found under the DOI shown there for the Journal of Official Statistics: http://dx.doi.org/10.1515/JOS-2015-0044.

Josue Garcia Arch

Check Nbclust package in R.