Abstract #300417

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JSM 2003 Abstract #300417
Activity Number: 124
Type: Contributed
Date/Time: Monday, August 4, 2003 : 10:30 AM to 12:20 PM
Sponsor: SSC
Abstract - #300417
Title: A New Penalized Chi-square Distance Function for Random Nonresponse
Author(s): Sarjinder Singh*+ and Raghunath Arnab
Companies: St. Cloud State University and University of Durban, Westville
Address: Department of Statistics, St. Cloud, MN, 56301,
Keywords: nonresponse ; penalized chi-square distance function ; calibration ; estimation of total variance ; auxiliary information ; penalty
Abstract:

The use of auxiliary information has been widely used for two types of situations: Calibration of design weights:Deville and Sarndal (1992) which later spread to vast literature on calibration Sarndal (1996), Singh, Horn and Yu (1998), Singh (2002), Sitter and Wu (2002), and Farrell and Sigh (2002a, 2002b); and Calibration of response weights: Lundstrom and Sarndal (1999), (say LS), are the first to calibrate the response weights instead of design weights while using known auxiliary information. Arnab and Singh (2002) independently also suggested to calibrated response weights for estimating total and variance in the presence of nonresponse. We suggest a new penalized chi-square distance function to find calibrated response weights, and the five estimators due to Chaubey and Crisalli (1995) and LS work can be viewed as special cases. The calibrated response weights depends upon the value of study variable or past information, unlike LS's calibrated response weights depends only on auxiliary variable.

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