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Post-enumeration Survey (PES) - Statistics South Africa

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<strong>Statistics</strong> <strong>South</strong> <strong>Africa</strong><br />

39<br />

Figure 6: Breakdown of dual-system estimate of population total-in-scope sub-universe (in<br />

millions rounded to two decimals)<br />

3. Preliminary true<br />

population total<br />

49,79 million<br />

a) Population<br />

included in<br />

both census<br />

and <strong>PES</strong><br />

b) Population<br />

included in<br />

census missed in<br />

<strong>PES</strong><br />

c) Population<br />

included in<br />

<strong>PES</strong> missed in<br />

census<br />

d) Population<br />

missed in both<br />

census and<br />

<strong>PES</strong><br />

34,34 million<br />

7,75 million<br />

6,29 million<br />

1,42 million<br />

Components (a), (b), and (c) are obtained through a matching process, based on direct observation.<br />

Component (d) is a mathematical derivation, based on an assumption of independence. Component (a),<br />

the population included in both the census and the <strong>PES</strong>, was estimated at 34,34 million persons;<br />

component (b), the population included in the census but missed in the <strong>PES</strong>, was estimated at 7,75<br />

million; component (c), the population included in the <strong>PES</strong> but missed in the census, was estimated at<br />

6,28 million; and component (d), the population missed in both the census and the <strong>PES</strong>, was estimated<br />

at 1,42 million (derivations can be found in Figure 6).<br />

Table 6 shows that, of the 42,51 million persons counted in the census for the in-scope sub-universe,<br />

42,08 million are estimated to be correctly enumerated. Of these, the <strong>PES</strong> included 34,34 million and<br />

missed 7,75 million. The census erroneous inclusions (fabrications, duplications, and geographic<br />

misallocations) are estimated to be 0,42 million or approximately 1,0% of the census total.<br />

Table 6: Coverage distribution of Census population – in-scope sub-universe (in millions rounded<br />

to two decimals)<br />

Census <strong>enumeration</strong><br />

Total excluding erroneous inclusions 42,08<br />

Included in <strong>PES</strong> 34,34<br />

Omitted from <strong>PES</strong> 7,75<br />

Erroneous inclusions 0,42<br />

Total including erroneous inclusions 42,51<br />

*Sums are subject to rounding error.<br />

It is estimated that the census omitted 7,71 million persons in total, 6,29 million of which were correctly<br />

enumerated in the <strong>PES</strong> and another 1,42 million of which were missed in the <strong>PES</strong> as well as the census<br />

<strong>Post</strong> Enumeration <strong>Survey</strong> (<strong>PES</strong>)

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