This paper explores the use of post-stratification to compensate for the unit nonresponse in the 1987 U.S. Characteristics of Business Owners (CBO) Survey. As is often the case, post-stratification leads to estimators with desirable properties under both a quasi-random (response) and a parametric (superpopulation) model. Some care is necessary in setting up these simple models because the CBO is a survey both of firm characteristics and of the characteristics of firm owners. Variance estimation methods are proposed that measure parametric model variance and quasi-design mean squared error simultaneously even when finite population correction cannot be ignored.
Reweighting and variance estimation for the characteristics of business owners survey
Kott, P. (1994). Reweighting and variance estimation for the characteristics of business owners survey. Journal of Official Statistics, 10(4), 407-418. http://www.jos.nu/Articles/abstract.asp?article=104407