Use of Ratios for Estimation of Official Statistics at a Statistical Agency

by James R. Knaub, Jr.

Abstract: The US Energy Information Administration (EIA) has made good use of available auxiliary data over a number of years, for a variety of surveys on energy sources and consumption, for estimating the statistics that the EIA mission requires. Such use of already available data reduces data collection burden for a given level of accuracy. Many of these instances relate to a single auxiliary variable, and involve some type of ratio. The many uses of ratios at the EIA are both disparate and unifying: disparate in that the applications can appear to be fairly distinct, but unifying in that there are interrelationships between these methods that may be esthetically pleasing, and of practical importance. Better communication and future improvements may be achieved by considering what is different between these methods, and what they have in common. Here we will explore these ideas.

Key Words: Classical ratio estimator (CRE), model-based estimation, design-based estimation, chain ratio-type estimator, alternative ratio models, regression through the origin, regression weights, survey design weights, calibration weights, raking, price

Author:
James R. Knaub, Jr., Knaub1977@comcast.net

Editor: Richard G. Graf, rgraf@sunstroke.sdsu.edu

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