Cluster Sampling by SRSWOR Suppose another team in the LGU also conducted a survey in the same Municipality of Quezon, Nueva Ecija, but this team made use of Cluster Sampling (unequal clusters). The group also intends to estimate the barangay level average number of carabaos and the total number of carabao in the municipality. Assume that Table 1 gives the barangay level data for the Municipality of Quezon based on the recent Census of Agriculture (2012). Table 1. CA-2012 barangay level information (hypothetical data) Number of Number of carabao BARANGAY carabaos raisers Yi Mi Bertese (B) 49 38 DonaLucia (DL) 9 5 DulongBayan (DB) 16 13 IlogBaliwag (IB) 48 33 Poblacion 12 (P) 12 6 PulongBahay (PB) 54 27 SanAlejandro (SA) 104 49 SanAndres1 (SA1) 112 80 SanAndres2 (SA2) 144 81 65 25 SanManuel (SM₂) SantaClara (SC) SantaRita (SR) 33 27 76 45 Santo Cristo (SCr) 36 23 Santo TomasFeria (STF) 19 13 San Miguel (SMI) 47 28 TRUE TOTAL 824 493 TRUE MEAN A. Using the information in Table 1, answer the following: 1. How many barangays (clusters) are there in the Municipality of Quezon? N = B. Parameters to be estimated. Let Y = barangay level number of carabaos. Now, suppose you would like to estimate the following parameters. Give the appropriate notation for these parameters that you are going to use (at the left of the equal sign) and the corresponding formula (at the right side of the description)). 1. = barangay level mean number of carabaos 2. = total number of carabaos in the municipality C. Cluster Sampling (unequal clusters). Your team found out that the n=5 clusters obtained by the other team are exactly the 5 barangays in your PPSWR sample. 1. Summarize the information about these barangays in the table below: Table 2. PPSWR information for the sample barangays.
Cluster Sampling by SRSWOR Suppose another team in the LGU also conducted a survey in the same Municipality of Quezon, Nueva Ecija, but this team made use of Cluster Sampling (unequal clusters). The group also intends to estimate the barangay level average number of carabaos and the total number of carabao in the municipality. Assume that Table 1 gives the barangay level data for the Municipality of Quezon based on the recent Census of Agriculture (2012). Table 1. CA-2012 barangay level information (hypothetical data) Number of Number of carabao BARANGAY carabaos raisers Yi Mi Bertese (B) 49 38 DonaLucia (DL) 9 5 DulongBayan (DB) 16 13 IlogBaliwag (IB) 48 33 Poblacion 12 (P) 12 6 PulongBahay (PB) 54 27 SanAlejandro (SA) 104 49 SanAndres1 (SA1) 112 80 SanAndres2 (SA2) 144 81 65 25 SanManuel (SM₂) SantaClara (SC) SantaRita (SR) 33 27 76 45 Santo Cristo (SCr) 36 23 Santo TomasFeria (STF) 19 13 San Miguel (SMI) 47 28 TRUE TOTAL 824 493 TRUE MEAN A. Using the information in Table 1, answer the following: 1. How many barangays (clusters) are there in the Municipality of Quezon? N = B. Parameters to be estimated. Let Y = barangay level number of carabaos. Now, suppose you would like to estimate the following parameters. Give the appropriate notation for these parameters that you are going to use (at the left of the equal sign) and the corresponding formula (at the right side of the description)). 1. = barangay level mean number of carabaos 2. = total number of carabaos in the municipality C. Cluster Sampling (unequal clusters). Your team found out that the n=5 clusters obtained by the other team are exactly the 5 barangays in your PPSWR sample. 1. Summarize the information about these barangays in the table below: Table 2. PPSWR information for the sample barangays.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Number of
Sample
Barangay
Number of carabaos
in the sample
barangay
Y₁
carabao raisers
Mi
D. Estimation. Using the cluster sample data, apply the cluster sampling estimation procedure to the
following:
1. Estimate the barangay level mean number of carabaos.
2. Estimate the variance of the estimate in (1).
3. Estimate the total number of carabaos in the municipality.
4. Estimate the variance of your estimate in (3).
Remarks:
Estimate of the population total = Nx estimate of the population mean
Estimate of the variance of the estimate of the population total
=N² x estimate of the variance of the estimate of the population mean.
E. Summary of results. Make a summary table of your results in D. include your results in Exercise 5.
1. Compare the variances of your estimates and the other team estimate.
Sampling design
Estimate of the mean
Estimate of the variance of the
estimate of the mean
PPSWR
Cluster Sampling
Sampling design
Estimate of the total
Estimate of the variance of the
estimate of the total
PPSWR
Cluster Sampling
2.
In terms of precision, which is the better estimator among the two for the estimation on number of
carabaos?
Transcribed Image Text:Cluster Sampling by SRSWOR
Suppose another team in the LGU also conducted a survey in the same Municipality of Quezon, Nueva Ecija, but
this team made use of Cluster Sampling (unequal clusters). The group also intends to estimate the barangay level
average number of carabaos and the total number of carabao in the municipality.
Assume that Table 1 gives the barangay level data for the Municipality of Quezon based on the recent Census of
Agriculture (2012).
Table 1. CA-2012 barangay level information (hypothetical data)
Number of
Number of
carabao
BARANGAY
carabaos
raisers.
Yi
Mi
49
38
Bertese (B)
DonaLucia (DL)
9
5
Dulong Bayan (DB)
16
13
IlogBaliwag (IB)
48
33
Poblacion12 (P)
12
6
PulongBahay (PB)
54
27
SanAlejandro (SA)
104
49
SanAndres1 (SA1)
112
80
SanAndres2 (SA2)
144
81
SanManuel (SM₂)
65
25
Santa Clara (SC)
33
27
SantaRita (SR)
76
45
Santo Cristo (SCT)
36
23
Santo TomasFeria (STF)
19
13
SanMiguel (SMI)
47
28
TRUE TOTAL
824
493
TRUE MEAN
A. Using the information in Table 1, answer the following:
1. How many barangays (clusters) are there in the Municipality of Quezon? N=_
B. Parameters to be estimated. Let Y = barangay level number of carabaos. Now, suppose you would like to
estimate the following parameters. Give the appropriate notation for these parameters that you are going
to use (at the left of the equal sign) and the corresponding formula (at the right side of the description)).
1.
= barangay level mean number of carabaos...
2.
= total number of carabaos in the municipality
C. Cluster Samplin nequal clusters). Your team found out that the n=5 clusters obtained by the other team
are exactly the 5 barangays in your PPSWR sample.
1. Summarize the information about these barangays in the table below:
Table 2. PPSWR information for the sample barangays.
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