Coverage Measurement in the 2010 Census (2009) / Chapter Skim
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Appendix A: A Framework for Components of Census Coverage Error
Appendix A: A Framework for Components of Census Coverage Error
Pages 145-152
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From page 145... ...
The subscript ij indicates subset membership: the first index is equal to 1 for those with sufficient information for match ing and 0 otherwise; the second index is equal to 1 with inclusion in the 145
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From page 146... ...
See Figure A-1 for a depiction of the various subsets of the total population using this taxonomy. The result is 13 separate cells, defined as follows: CE11: correct enumeration in the census and in the P-census CE10: correct enumeration in the census and missed in the P-census EE10: erroneous enumeration in the census and missed in the P-census (which would include both erroneous enumerations as defined in this report and duplicate enumerations in the census EEII00: erroneous enumeration in the census with insufficient infor mation for matching and missed in the P-census EENDD00: erroneous enumeration in the census and not data-defined and missed in the P-census WL11: enumerated in the wrong location in the census and in the P-census WL10: enumerated in the wrong location in the census and missed in the P-census II01: insufficient information for matching in the census and counted in the P-census II00: insufficient information for matching in the census and missed in the P-census NDD01: not data defined in the census and in the P-census NDD00: nor data defined in the census and missed in the P-census OM01: missed in the census and in the P-census OM00: missed in the census and missed in the P-census The following additional relationships are used below: CE = CE11 + CE10 WL = WL11 + WL10
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From page 147... ...
. CE11 To justify this formula, the authors express three assumptions that are used in practical implementation of dual-systems estimation as a function of the entire set of 13 quantities: Assumption 1: The basic assumption underlying dual-systems estimation is that the proportion of the true population correctly enumerated in the census equals the proportion of the P-census enumerated in the census.
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From page 148... ...
This assumption is the so-called balancing of erroneous enumerations and nonmatches and is equivalent to the statement that the proportion of correct enumerations found because they are in the correct location equals the percentage of matches found because they are in the correct location. This can be expressed as CE11 + CE10 CE11 = , ( CE11 + CE10 + WL11 + WL10 )
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From page 149... ...
Also, for persons who have moved into the P-sample block clusters after census day, the P-sample is matched to their residence address on census day. Matches therefore provide an estimate of the number of correct enumerations in the correct location that were included in the P-sample.
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From page 150... ...
(In this report, the panel states there is also interest in estimating the number of enumerations in the wrong place and the number of duplicate enumerations.) Unfortunately, because of enumerations in the wrong location and enumerations with either insufficient information for matching or not data defined, subtracting CE from the census count gives an inflated esti mate of the number of erroneous enumerations, EE10 + EEII00 + EENDD00.
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From page 151... ...
This appendix omits the remaining details: Mulry and Kostanich discuss how one could separate out those enumerated in the wrong loca tion from those that are erroneous, other complications raised by cases with insufficient information for matching, movers, and duplicates, and when to use imputation methods. Finally, the estimates of the components are generally represented as sample weighted averages, mainly of 0-1 i ndicator variables, but also of imputed probabilities.
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