JSM 2004 - Toronto

Abstract #301140

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Activity Number: 441
Type: Contributed
Date/Time: Thursday, August 12, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Survey Research Methods
Abstract - #301140
Title: Using a Quadratic Programming Approach to Solve Simultaneous Ratio and Balance Edit Problems
Author(s): Katherine Thompson*+ and James T. Fagan and Brandy Yarbrough and Donna Hambric
Companies: U.S. Census Bureau and U.S. Census Bureau and U.S. Census Bureau and U.S. Census Bureau
Address: 2700 Karen Drive, Chesapeake Beach, MD, 20732-3841,
Keywords: nonlinear programming ; contrained optimization
Abstract:

Often, items collected by the Economic Census are first subjected to ratio edit tests and associated corrections to ensure consistency within the questionnaire and within the industry and are then subsequently "balanced" to ensure additivity with other data items. With this two-step procedure, the balanced data often fail to satisfy the original ratio edit tests. In most cases, this does not pose a data quality problem. However, there are situations in which it is undesirable to "undo" the original ratio edit corrections to satisfy additivity: examples include marginal totals in two-dimensional balance complexes and derived items that combine previously ratio-edited items with unedited items. We present an approach that first uses nonlinear (quadratic) programming to find data "adjustment" solutions that satisfy such simultaneous balancing and ratio editing problems and then performs controlled rounding to obtain integer solutions.

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