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