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Questionnaire Dwelling Unit-Level and Person Pair-Level Sampling ...

Questionnaire Dwelling Unit-Level and Person Pair-Level Sampling ...

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The QDU selection probability was defined as<br />

( Ph(00)<br />

)<br />

P = 1 − ,<br />

(2.8)<br />

* *<br />

h<br />

where P * h(00) is the probability of not selecting any person. For the DUs with the sum of agespecific<br />

selection probabilities larger than or equal to 2 (Case I), P * h(00) is 0. It follows from<br />

Section 2.1, under Case II, P * h(00) can be calculated as<br />

P<br />

*<br />

h(00)<br />

⎛ 1 ⎞ 3 ⎡P′ P′<br />

⎤⎡<br />

1 1<br />

= − + +<br />

h(0) h(0)<br />

⎜1 ⎟ ⎢ ⎥⎢ ⎥ ,<br />

⎝ Fs ⎠ Fs ⎣ K′ ⎦⎢⎣ 1−P′ h(0) 1−P′<br />

h(0)<br />

⎥⎦<br />

⎤<br />

(2.9)<br />

where P′ h(0) is the selection probability of a dummy person when person selection probabilities<br />

are adjusted by F s .<br />

10

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