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CRC 2015. English

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territory. In each village sampled at the first level, the households were listed in order<br />

to systematically draw 15 households at the second level. Then, the head/member of<br />

the household above 18 years responded to the questionnaire.<br />

In the first stage, the Primary Survey Units (villages / imidugudu) were selected<br />

randomly using the SPSS software from the NISR database of all villages.<br />

In the second stage, the systematic selection of households followed this procedure:<br />

1) The list of all households was provided for each village with the total number of<br />

households;<br />

2) The numbers were summed up to obtain a final number equal to the total<br />

households in the stratum;<br />

3) In each stratum, the sample units were selected systematically, using the interval<br />

of selection (I h<br />

= Total number of households / units to be surveyed) and random<br />

seed (Rh) obtained by multiplying the selected interval by a random number<br />

between 0 and 1.<br />

Thus, the first sample unit was identified by the random starting point; the second<br />

sample unit corresponded to the random starting point plus the assigned step. The<br />

following sample units were identified by adding multiple consecutive interval steps<br />

to the cumulative sum, until the sample size is reached. In general, the i th sample unit<br />

(S hi<br />

) in stratum h can was selected as follows:<br />

S hi<br />

= R h<br />

+ (i-1)I h<br />

for i=1,2,….,n h<br />

Where :<br />

S hi<br />

= number selected for the i th sample unit in stratum h<br />

R h<br />

= random selected for stratum h;<br />

I h<br />

= Interval Draw for stratum h;<br />

n h<br />

= number of sample units selected in stratum h.<br />

Probability sampling<br />

In each stratum, the sample selection was done independently from other strata. This<br />

is due to the existence of sampling frames that are different from other strata. Thus,<br />

the sampling probabilities are calculated for each level of estimation, i.e., for each<br />

stratum. This requires prior determination of the probability of sampling at each<br />

stage of sample selection.<br />

6 Rwanda Citizen Report Card Survey 2015

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