Exploration and description /Estimation
Scenario 1
We now need to estimate the total number of cattle in Lobamba Sub-region.
Substituting n=4 an N=13 in the appropriate formulae (Exploration & description / Formulae) we have:
mean number of animals per homestead =  = (T1+T2+T3+T4) / (M1+M2+M3+M4)
= 14.90.
estimated total number of cattle in region = T = (M1+M2+M3+M4) x 13/4 = 24,403.
s.e. (T) = √{13(13-4)
[(T1 - T)2+...+ (T4 -
T)2] / (4 - 1) + 13 (S12+...+ S42) /
4} = 4,276.
The calculations are shown in CS12Data1
Applying these calculations to all sub-regions we get:
|
|
Dip-tanks
|
Population estimates
|
Sub-region
|
Population
|
Sample
|
Total
|
S.E.
|
Lobamba
|
13
|
4
|
24,403
|
4,276
|
Malandzela
|
12
|
7
|
24,884
|
4,310
|
Mayiwane
|
20
|
15
|
77,510
|
6,960
|
Mbabane
|
28
|
15
|
84,489
|
9,996
|
Ntfonjeni
|
13
|
7
|
32,897
|
4,421
|
Piggs-Peak
|
14
|
5
|
46,526
|
6,555
|
|
