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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 />

57<br />

Table 16: Coverage distribution of true household total – in-scope universe (in millions rounded to<br />

two decimals)<br />

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

Included Omitted Total<br />

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

Included 9,51 1,81 11,32<br />

Omitted 2,16 0,41 2,57<br />

Total excluding erroneous inclusions 11,67 2,22 13,89<br />

*Sums are subject to rounding error<br />

While the <strong>PES</strong> estimated the household total in the in-scope sub-universe at 11,32 million, it omitted<br />

2,16 million households that were correctly enumerated in the census, and another 0,41 million that were<br />

missed in both the census and the <strong>PES</strong>, for a total omission of 2,57 million (Table 13).<br />

The true household total, estimated at 15,07 million, was calculated by adding the census-enumerated<br />

0,44 million households in the balance of universe to the dual-system estimate of 14,63 million in the inscope<br />

sub-universe (Table 17).<br />

Table 17: Adjusted census household totals – full universe (in millions rounded to two decimals)<br />

Households in<br />

dwelling units and<br />

hostels within in-scope<br />

EA types<br />

Households in other<br />

collective living<br />

quarters and<br />

other EA types<br />

Total<br />

households<br />

Adjusted 14,63 0,44 15,07<br />

The overall empirical probabilities of inclusion and omission of a household in the census or in the <strong>PES</strong><br />

are shown below in Table 18. A household in the in-scope universe had approximately an 84% chance<br />

of being enumerated in the census, an 81,4% chance of being enumerated in the <strong>PES</strong>, and a 68,4%<br />

chance of being enumerated in both. Conversely, the household had approximately a 15,5% chance of<br />

being included in the census but missed in the <strong>PES</strong>, a 13% chance of being included in the <strong>PES</strong> but<br />

missed in the census, and a 3% chance of being missed in both.<br />

Table 18: Probabilities of inclusion and omission of a household – in-scope sub-universe<br />

Probability of being included in Census 0,83994<br />

Probability of being included in <strong>PES</strong> 0,81481<br />

Probability of being included in both Census and <strong>PES</strong> 0,68439<br />

Probability of being included in Census, but missed in <strong>PES</strong> 0,15555<br />

Probability of being included in <strong>PES</strong>, but missed in Census 0,13042<br />

Probability of being missed in both census and <strong>PES</strong> 0,02964<br />

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

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