As someone familiar with sampling concepts who has read through a few such textbooks, let me sort of order three mentioned by others in this thread and add another one that just may be the best one for Dr. Kurland's student:
- Elementary Survey Sampling by Scheaffer, Mendenhall, Ott, and Kenneth Gerow (who seems to be the one putting together the next (8th) edition): The level of this fine textbook is truly for Sampling 101 and the coverage is quite good.
- Sampling: Design and Analysis by Sharon Lohr: Superb! This sampling textbook, first published in 1999 (now in its second edition) is likely the leading sampling textbook today with respect to Sampling 101 and Sampling 102 with excellent up-to-date coverage. Theory-wise, it is Cochran sans explicit theorems and proofs but still with much theory within and between its reader-friendly-but-serious-minded prose.
- Sampling Techniques by William G. Cochran: A/The classic mathematical treatment of sampling, which needs no further comment.
With respect to Dr. Kurland's student, a rather concise treatment of many of the concepts she mentioned could be found in the book Sampling by Steven K. Thompson. [Note: I have only the first edition; I believe the book is now in its third edition.]
BTW, since this is not the SRMS Forum, presumably many persons here have not focused on sampling and would like a short primer on such. If so, then feel free to let me know (at davidbee2009@gmail.com) and I'll forward such to you as an Attachment. (I've put together a few; if the first one is worthwhile, then I'll send the next one(s), upon request.)
HTH
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David Bernklau
(David Bee on Internet)