For hypothesis testing, a great discussion of design and proper analyses for biologists/ecologists using ANOVA is available in:
Underwood, AJ. 1997. Experiments in Ecology: Their Logical Design and Interpretation Using Analysis of Variance. Cambridge University Press: Cambridge.
Different sampling design respond to differences in population features, estimators properties and data constraints (for example in the sampling frame coverage and completeness).
If you want to take a practical approach (probably the more useful one in case of survey sampling) you can refer to Stata manual on svy functions.
It has a nice methodological introduction and describe in good details the formulas of the different estimators (mean, totals, regressions an ratios) and the associated variance estimators according to a large range of survey design (clustering, stratification, multistage) and variance estimation techniques (linearization and replication methods).
You can find the manual (for stata version 13) here: http://www.stata.com/manuals13/svy.pdf