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A Spatial Approach to Mitigate Measurement Error from Undercoverage Estimates Michael Tzen May 17, 2014

A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

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Page 1: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

A Spatial Approach to Mitigate

Measurement

Error from Undercoverage

Estimates

Michael Tzen May 17, 2014

Page 2: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those
Page 3: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

Outline

Motivation: Survey Inference and Representation

Model: Spatial Generalized Linear Mixed Model

Results: Smoothed Rates of Omissions

Conclusion

Page 4: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those
Page 5: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

Non-Sampling Error in Surveys:

Self Similarity

Page 6: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

Measurement Error in Coverage:

Self Similarity

Page 7: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

𝑂𝑚𝑖𝑠𝑠𝑖𝑜𝑛 ≔ 𝑀𝐴𝐹2011 − (𝑀𝐴𝐹2008 + 𝑁𝑒𝑤𝐺𝑟𝑜𝑤𝑡ℎ𝐷𝑆𝐹) Geographical Pattern: South East North

Page 8: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

Model: Improve on Observed

Counts

Neighbor = Binary + Queen + Immediate

BYM Model: Besag, York, Mollie (1991)

Page 9: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

Results: Improved Maps

Naïve: Fixed Effects Only BYM: Fixed + Random Effects

Raw SMR

Page 10: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

Results: Improved Rankings

Census 2010: $13,000,000,000

Operational Goals: Prioritize Tracts after adjusting for substantive and geographic information

Page 11: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

Delivery Sequence File: -3.80 Ruralness: +0.60 Renter Tenure: -5.71 (more Variation)

Results: Improved Risk Factors

Page 12: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

Conclusion

Page 13: A Spatial Approach to Mitigate Measurement Error …views expressed on statistical, methodological, technical, or operational issues are those of the author and not necessarily those

Thank You