JSM 2004 - Toronto

Abstract #300970

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Activity Number: 23
Type: Contributed
Date/Time: Sunday, August 8, 2004 : 2:00 PM to 3:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #300970
Title: Effect of Collapsing Rows/Columns of Weighting Matrix on Weights
Author(s): Jay J. Kim*+ and Lawrence H. Cox
Companies: National Center for Health Statistics and National Center for Health Statistics
Address: 3311 Toledo Rd., Hyattsville, MD, 20782,
Keywords: weighting matrix ; cell-collapsing ; undercoverage ; bias ; variance ; Horvitz-Thompson estimator
Abstract:

In calculating sample weights, we often have cells with undercoverage problems in some subpopulations. In this situation, the cells in the weighting matrix are collapsed to avoid such coverage problem. The cell-collapsing was discussed previously, but it has never been investigated systematically. We introduce a method by which we can collapse cells (rows or columns) with undercoverage problem and show how cell weight is transfered from one cell to another. We also show the impact of collapsing on the bias and variance of Horvitz-Thompson estimator. We will propose new collapsing strategies which correct for deficiencies of the current approaches.

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