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From unplanned settlement to new housing development in Kigali city: the case study of Amahoro cell, Muhima sector


par John MUGISHA
National University of Rwanda - Bachelor's degree 2011
  

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3.2.3 Sampling techniques and sample size

Simple random sampling was employed in order to secure necessary data from the study area, which gave a chance to every individual household in the study area. To determine the sample size, the following formula was used (Javeau, 1985):

n= Nxno

N+no

Where n is the sample size,

N is the population size within the study area.

no is the constant

N: B In the study area, the target population was represented by households and the total number of households in Amahoro cell was 1576, no (the constant) is calculated from two complementary events p and q. where p=q=0.5 p+q=1

In his theory, Cochran (1963:75) developed the equation which gives the value of no as follows:

no= z2xpxq

e2

Where z is the threshold of confidence which is estimated to be equal to 2 and e is the stroke of errors that is estimated to 10% or 0.10.

Then,

no= 22x0.5x0.5

0.102

Therefore, n=Nxno n= 1576x100

N+no 1576+100

n= 94

However, the sample size that was surveyed in the study area was 100 households.

The respondents were selected (at random) in equal proportions in the whole villages comprising Amahoro cell (table 2). To get the sample size for Umudugudu, we took the total number of the households in the cell and divided it by the number of the households in the Umudugudu, multiplied by 100.

i.e. Sample size in Umudugudu= Households in Umudugudu x100

Households in a cell

Table 2: Surveyed households in each Umudugudu

Umudugudu

No. of households

Population

Sample size

Amahoro

130

843

9

Amizero

415

914

26

Inyarurembo

126

555

8

Kabirizi

256

847

16

Ubuzima

395

989

25

Uruhimbi

254

935

16

Total

1576

5,083

100

Source: executive secretary/Amahoro cell

Also leaders and decision makers at different levels in Kigali city were interviewed. The following table shows the categories of interviewed leaders:

Table 3: Interviewed local leaders in Kigali city

Administrative level

Position held

Cell

Executive secretary

Sector

Personnel in charge of social affairs

District

Land and infrastructure manager

Rwanda housing authority (RHA)

Personnel in charge of planning

Source: Author, 2011

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