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PALESTINIAN SOCIETY - Fafo

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Selection of Sample PS Us (1st stage)<br />

Sample PSUs were selected from each stratum with a probability<br />

proportionate to population size. In order to determine the 1st stage<br />

inc1usion probability, we need the following variables (all referring to<br />

individuals, Benvenisti estimates):<br />

N(s,k) · = Population total for PSU (s,k)<br />

N(s) = Population total s-th stratum (table A.6)<br />

N = Population total (West Bank)<br />

The fIrst stage inc1usion probability for PSU (s,k) is approximately:<br />

k (s) N (s. k)<br />

(3 1) p ( k) _<br />

.<br />

1 S, - N (s)<br />

in which k(s) is the number ofPSUs selected from the s-th stratum. In<br />

case k( s)= l, the equality above is exact. The approximation accurs for<br />

k( s» 1 , as 2nd order ( and higher) probabilities are assumed negligible.<br />

The number ofPSUs to be selected, the k(s)'s, has been decided like<br />

this in order to avoid situations where the number of sample households<br />

of aPSU exceeds the total numberofPSU households. Thus, for<br />

each stratum both the household sample size, the total numberofPSU s<br />

and the size of the various PSUs have been considered.<br />

In our design the household, not the single individual, is the<br />

ultimate unit of selection. Ifthe average size ofhouseholds is equal for<br />

all PSU s, which is a fairly realistic assumption, (3.1) can be expressed<br />

thus:<br />

(3 2) p ( k) _<br />

k (s) O (s. k)<br />

. 1 S, - O (s)<br />

in which D{s,k) is the total number of households in PSU (s,k), and<br />

D{s) the corresponding total for the s-th stratum.<br />

The number of sample PSU s selected from each of the strata are<br />

shown in table A.8. The total number of sample PSUs is 45.<br />

Seleetion of CeIIs,<br />

Housing Units and Households<br />

As in Gaza, there were no sampling frarnes available for the selection<br />

of households in the West Bank PSUs. Thus it was convenient to<br />

introduce two further sampling stages. At the 2nd stage sample PSUs<br />

were subdivided into cells, and samples of cells were selected by<br />

simple random sampling from the respective PSUs. Housing units<br />

were selected at the 3rd stage, and, fInally, the samples ofhouseholds<br />

(4th stage) were selected from the sample of housing units. The<br />

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