I am trying to understand the merits and demerits of each of the different types of probability and probability sampling methods.
Each have their positives and negatives with probability sampling preferred in scholarly research when possible. Here are some articles that you might find helpful:
http://jah.sagepub.com/content/18/4/565.short
http://search.proquest.com/openview/8f5b4db1aaef4935145dd5f441bf5142/1?pq-origsite=gscholar
http://poq.oxfordjournals.org/content/early/2011/10/05/poq.nfr020.short
http://www.anatomyfacts.com/research/researchmethodsknowledgebase.pdf
https://jssam.oxfordjournals.org/content/1/2/90.full
The usual way is to buy good books about the area. I suggest to read this link:
https://www.researchgate.net/post/Which_are_the_most_complete_books_on_Practical_Sampling_Theory_in_English_Spanish_French_and_other_languages
Mohamed -
You might find this to be of interest:
Ken Brewer's Waksberg Award article:
Brewer, K.R.W. (2014), “Three controversies in the history of survey sampling,” Survey Methodology,
(December 2013/January 2014), Vol 39, No 2, pp. 249-262. Statistics Canada, Catalogue No. 12-001-X.
http://www.statcan.gc.ca/pub/12-001-x/2013002/article/11883-eng.htm
Note that the model-based example he gave, equation (4.3), is for the classical ratio estimator.
Cheers - Jim
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