Conservative variance estimation for sampling designs with zero pairwise inclusion probabilities
Information identified as archived is provided for reference, research or recordkeeping purposes. It is not subject to the Government of Canada Web Standards and has not been altered or updated since it was archived. Please "contact us" to request a format other than those available.
Peter M. Aronow and Cyrus Samii1
We consider conservative variance estimation for the Horvitz-Thompson estimator of a population total in sampling designs with zero pairwise inclusion probabilities, known as "non-measurable" designs. We decompose the standard Horvitz-Thompson variance estimator under such designs and characterize the bias precisely. We develop a bias correction that is guaranteed to be weakly conservative (nonnegatively biased) regardless of the nature of the non-measurability. The analysis sheds light on conditions under which the standard Horvitz-Thompson variance estimator performs well despite non-measurability and where the conservative bias correction may outperform commonly-used approximations.
Horvitz-Thompson estimation; Non-measurable designs; Variance estimation.
Table of content
1Peter M. Aronow, Department of Political Science, Yale University, 77 Prospect St., New Haven, CT 06520. E-mail: firstname.lastname@example.org; Cyrus Samii, Department of Politics, New York University, 19 West 4th St., New York, NY 10012. E-mail: email@example.com.
- Date modified: