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Dealing with wide Weight Variation in Polls |
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Abstract:
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DEALING WITH WIDE WEIGHT VARIATION IN POLLS
Richard A. Griffin, U.S. Census Bureau
Key Words: Bias, Variance, Model
It is well known by survey practitioners that wide weight variation is not good. If a respondent with a relatively large weight is an outlier the resulting estimate may be inappropriately skewed. However, weight variation is not always bad. Unequal selection probabilities result in unbiased estimates that have weight variation. Consider optimal allocation in stratified sampling when the variance of the characteristic of interest is different from one strata to the next. The optimal allocation results in an unbiased minimum variance estimate that has weight variation. Why do we consider weight variation bad? The problem is that most surveys have multiple purposes and many estimates are computed other than those for which the sample design was targeted. Statistically the problem is to choose the estimation procedure that produces the lowest mean square error (the variance of an estimate plus the square of its bias). A biased estimate can have lower mean square error than an unbiased estimate if its variance is enough lower than the variance of the unbiased estimate to compensate for the bias. Polls often have equal probability samples with unequal balancing weights to compensate for differential nonresponse. This paper looks at the effect of unequal weights for equal probability polls on the mean square error of estimates. Balancing weights using known population proportions as well as shrinkage weights under a model are examined. |
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Association:
Name: American Association For Public Opinion Association URL: http://www.aapor.org
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Citation:
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MLA Citation:
| Griffin, Richard. "Dealing with wide Weight Variation in Polls" Paper presented at the annual meeting of the American Association For Public Opinion Association, Fontainebleau Resort, Miami Beach, FL, <Not Available>. 2009-05-25 <http://www.allacademic.com/meta/p16993_index.html> |
APA Citation:
| Griffin, R. "Dealing with wide Weight Variation in Polls" Paper presented at the annual meeting of the American Association For Public Opinion Association, Fontainebleau Resort, Miami Beach, FL <Not Available>. 2009-05-25 from http://www.allacademic.com/meta/p16993_index.html |
Publication Type: Paper/Poster Proposal Abstract: DEALING WITH WIDE WEIGHT VARIATION IN POLLS
Richard A. Griffin, U.S. Census Bureau
Key Words: Bias, Variance, Model
It is well known by survey practitioners that wide weight variation is not good. If a respondent with a relatively large weight is an outlier the resulting estimate may be inappropriately skewed. However, weight variation is not always bad. Unequal selection probabilities result in unbiased estimates that have weight variation. Consider optimal allocation in stratified sampling when the variance of the characteristic of interest is different from one strata to the next. The optimal allocation results in an unbiased minimum variance estimate that has weight variation. Why do we consider weight variation bad? The problem is that most surveys have multiple purposes and many estimates are computed other than those for which the sample design was targeted. Statistically the problem is to choose the estimation procedure that produces the lowest mean square error (the variance of an estimate plus the square of its bias). A biased estimate can have lower mean square error than an unbiased estimate if its variance is enough lower than the variance of the unbiased estimate to compensate for the bias. Polls often have equal probability samples with unequal balancing weights to compensate for differential nonresponse. This paper looks at the effect of unequal weights for equal probability polls on the mean square error of estimates. Balancing weights using known population proportions as well as shrinkage weights under a model are examined. |
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