4 Arab Jerusalem Sample Design

The sample design for Arab Jerusalem (AJ) is a stratified three stage design similar to that of the West Bank, except for the omittance of the subselection of cells. In order to keep the mathematical notations unchanged, we will, however, assume there is an imaginary subsampling of cells by the subselection of one out of a total of one cell per PSU. The procedures for selecting housing units, households and individuals are exactly like the ones applied elsewhere in the survey.

Stratification of PSUs
AJ is subdivided into 28 "statistical areas" having Arabs (non-Israelis) as the majority population. Israelis living within the PSUs are not considered part of the survey population. The 28 areas constitute our PSUs. The areas are those displayed in the Statistical Yearbook of Jerusalem 19907, with a map dated 1983. Cell contours have, however, been transferred to up-dated maps (1990) to make in-field identification of the areas more easy. Cell numbers refer to the numbers on the 1983 map (other statistical maps have different numbers). The PSUs were grouped into 3 strata. The choice of location (North, Middle, South) as the stratification variable is somewhat arbitrary, and is not expected to yield reliability gains. However, it was considered safe to make sure that all main districts of AJ were represented in the sample. Table A.10 shows the stratification and the estimated population 1990 of each stratum (source: Statistical Yearbook of Jerusalem 1990).

Table A.10 Stratification of Arab Jerusalem PSUs

StratumNumber of PSUsPSUs (cell numbers)Population 1990
North7711, 712, 713, 714, 715, 716, 71739,100
Middle16611, 621, 641, 642, 643, 751, 752, 753, 754, 761, 762, 763, 811, 812, 813, 81482,900
South5545, 821, 822, 823, 82419,200

First Stage Sample of PSUs
A sample of k(s) PSUs was selected within each stratum. The PSUs were selected with probabilities proportionate to estimated population size:

where N(s,k) and N(s) have the same meaning as earlier, namely the population totals (individuals) for PSU (s,k) and stratum s, respectively. The number of PSUs to be selected from each stratum has been decided this way as a "compromise" between theoretical, statistical considerations and cost/implementation effectiveness. The household sample (total 500) was proportionately allocated among strata. The 1st stage inclusion probabilities imply the stratum sample of households to be equally divided among sample PSUs to have an (approximate) epsem allocation. The sample PSUs are listed in table A.11 along with the corresponding household sample size and the 1990 population estimates as compiled from Statistical Yearbook of Jerusalem 1990.

Table A.11 Arab Jerusalem sample of PSUs, and PSU sample size (households)

StratumSample PSUs Sample size (households)Population 1990 (individuals)

Inclusion Probabilities
According to the details described above, the overall (household) inclusion probability (household (s,k,c,h,d) - the d'th household of the h'th housing unit (of imaginary cell c) within PSU (s,k)) is:

where H(s,k,c) is the total number of housing units of PSU (s,k), and D(s,k,c,h) the total number of households within housing unit (s,k,c,h). The various H(s,k,c)s have to be estimated from sample observations and population figures:

where the N(s,k)s are referred in table A.11 and the is an estimate for the average number of individuals per PSU (s,k) housing unit:

In (4.4) N(s,k,c,h) is the number of individuals in sample household (s,k,c,h). (Strictly, h is the housing unit label. For the sample, however, it also works as a household label as long as only one household is selected from each sample housing unit.)

The overall inclusion probabilities for the individual samples are calculated by multiplying (4.2) with the individual probabilities of selection at the "5th" stage:

where W(s,k,c,h,d) and M(s,k,c,h,d) are the numbers of females and males of age 15 years or more of household (s,k,c,h,d), respectively. These statistics are deducted from the sample.


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