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Comparison of survey estimates of the finite population variance

Content Provider	Scilit
Author	Courbois, Jean-Yves P. Urquhart, N. Scott
Copyright Year	2004
Description	The Environmental Monitoring and Assessment Program (EMAP) of the U.S. Environmental Protection Agency has conducted several probability surveys of aquatic resources. Such surveys usually have unequal probability of including population elements in the sample. The Northeast lakes survey, which motivated this study of variance estimation, was such a survey. We examine ten estimators for the finite population variance using a Monte Carlo factorial experiment that considers three population characteristics. The results show that the correlation between the inclusion probabilities and the response is the most important factor that differentiates the estimators. Under conditions of low correlation (approximately <0.4), a common feature in environmental surveys, the sample variance is best, elsewhere, two ratio estimators, one based on consistency and the Horvitz-Thompson Theorem (HT) and the other based on the Yates-Grundy form, behave similarly and best.
Related Links	http://link.springer.com/content/pdf/10.1198%2F1085711043596.pdf
Ending Page	251
Page Count	16
Starting Page	236
ISSN	10857117
e-ISSN	15372693
DOI	10.1198/1085711043596
Journal	Journal of Agricultural, Biological and Environmental Statistics
Issue Number	2
Volume Number	9
Language	English
Publisher	Informa UK Limited
Publisher Date	2004-06-01
Access Restriction	Open
Subject Keyword	Fisheries Sciences Surveys Environmental Monitoring Finite Population Variance Monte Carlo Probability Motivated Estimators
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistics and Probability Environmental Science Agricultural and Biological Sciences Statistics, Probability and Uncertainty

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