Hughes, Phillip John (1988) Design and estimation issues for rotating business surveys. University of Southampton, Doctoral Thesis.
Abstract
Considerable theoretical developments have occurred in the past forty years for the design and estimation of rotating surveys. A number of issues, relating particularly to rotating business surveys, have received little attention. It is conjectured that this has hindered the application of such techniques to these surveys in spite of their potential for greatly increased sampling efficiency. We address three of these issues - the use of auxiliary information in rotating surveys; design for rotating surveys with changing frames; and the additive consistency of optimal composite estimates of level and change. We derive composite regression estimators which use auxiliary information as well as the information from past responses of survey units. We show that these estimators combine the desirable properties of both composite and regression estimators. Composite ratio estimators are also developed. We consider also the use of auxiliary information in stratification in rotating surveys. We consider design for rotating surveys with changing frames, deriving optimal sampling rates for births and rotation rates for other units. We also consider designs in which the sampling rate of births is optimised given a fixed rotation rate for other units. In both cases these designs may be significantly more efficient than the usual designs. The implication for estimation and for the complex selection procedures which are usually employed for rotating business surveys are clarified. Unless past estimates are revised optimal composite estimates of level and change will not be additively consistent yet we show that revision may be undesirable. We derive optimal unrevised composite estimates of change which may be considerably more efficient than the standard unrevised composite estimates. We also consider alternative designs for improving the efficiency of these estimators. (DX84117)
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