Abstract
In the literature, a simple formula has been proposed which relates the design effect, deff, to a ratio of homogeneity among population elements within primary sampling units, roh. The formula is deff=1+(m- 1) roh, where m is the average number of elements sampled per selected primary unit. In this paper, we analyse the validity of the above formula in a general framework of a complex multistage sampling design and from a randomization theory point of view. The analy-sis is carried out for expansion and ratio estimators of population and domain means. The chief analytical results consist in expressing the ratio of homogeneity as a sum of a population parameter and other components related to different design features. It is then shown that departures from self-weighting and from simple random sampling within primary units are the main design components that may not comply with the desidered independence of roh from m.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
