Exploration and description /Estimation

Scenario 2

We follow the same calculations as before for estimating Ti s and Si2 s for each sampled dip-tank area, as shown in `Cat_no_pop_inf' worksheet of CS12Data2 and starting with Lobamba Sub-region.

In order to estimate population numbers in the whole sub-region, however, the formulae are different - see Exploration & description / Formulae.

As before, mean number per homestead = = (T1+T2+T3+T4) / (M1+M2+M3+M4) = 14.90
But now, estimated total number of cattle in region = T = (M1+...+M13) = 20,023
s.e (T) = √{13(13-4) [(T1 -M1)2 + ...+ (T4 -M4)2] / (4 - 1) + 13(S12+...+ S42) / 4} = 5,327

The results for all sub-regions are as follows:

 

Dip-tanks

Population estimates

Sub-region

Population

Sample

Total

S.E.

Lobamba

13

4

20,023

5,327

Malandzela

12

7

22,408

3,324

Mayiwane

20

15

66,038

6,680

Mbabane

28

15

73,841

6,883

Ntfonjeni

13

7

23,462

3,347

Piggs-Peak

14

5

27,008

4,481