Page 50 - Contributed Paper Session (CPS) - Volume 1

CPS863 Abubakar S. A. et al.
corn production estimates at the provincial level. Specifically, this paper aims
to perform simulation to determine the best sample size (barangays and
households), the best sampling design, the best estimation procedure and
model for estimation of production of unsurveyed quarters.

2. Methodology
2.1 Phase 1: Determination of Initial Number of Sample Barangays
The LH algorithm is an iterative procedure that allocate samples into
strata5. Different combinations of number of strata (3, 5 and 10 strata) and
coefficient of variations (1%, 5% and 8%) were explored to compute for the
initial number of sample barangays.

2.2 Phase 2: Determination of Best Sampling Design
2.2.1 Probability Proportional to Size-Systematic (PPS-Systematic)
Corn farm area was used as the measure of size. Barangays were selected
using PPSSYS and households were selected using either SRSWOR or
∑
=1
systematic. The designbased weight, = = × , ≡weight for all

household in barangay , ≡ weight for all household in barangay by

quarter, ≡ corn farm area in barangay by quarter, ≡ total number of

barangays per quarter, ≡ number of sample barangays per quarter, ≡

number of corn farm households in barangay by quarter, and ≡ number

of sample corn farm households in barangay by quarter. The total corn
̂
production in the province is computed as: = ∑ ∑ , ≡ corn

=1

=1
production of household in barangay per quarter. The variance was

2
2
2
̂
computed as: () = (1 − ) + ∑ (1 − ) where: ≡ first stage
2
1 =1 1
sample variance (provincial sample variance), ≡ second stage sample
2
2
variance (barangay sample variance).

i. Stratified using Iterative Method
This method is known as cumpf rule which is based on constructing equal
intervals on the cumulative of the square roots of the frequencies of the
stratification variables6. Proportional allocation was employed and stratum
boundary was determined using the iterative method.

Case 1: PPS selection of barangays, and SRSWOR and systematic selection of
ℎ
∑ ℎ
households. Note, = ℎ = =1 × ℎ , ℎ ≡ weight for all household
ℎ
ℎ ℎ ℎ
in barangay at stratum ℎ, ≡ corn farm area in barangay in stratum
ℎ
ℎ, ≡ total number of barangays in stratum ℎ, =total number of sample
ℎ
ℎ
barangays in stratum ℎ, ≡ total number of corn farm households in
ℎ
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