Page 51 - Contributed Paper Session (CPS) - Volume 1

CPS863 Abubakar S. A. et al.
stratum ℎ, barangay , ℎ ≡ total number of sample corn farm households in
stratum ℎ and barangay .

Case 2: Selection of Barangays - SYS and selection of Households - SRSWOR
& SYS: ℎ = ℎ × ℎ . The total corn production for stratified using iterative
ℎ ℎ
̂
̂
̂
̂
method was computed as: = ∑ , = ∑ ℎ ∑ ℎ ℎ ℎ where: =

ℎ
ℎ
ℎ=1
=1
=1
sumof weighted total corn production in all strata, = weighted total corn
̂
ℎ
production in stratum ℎ, ℎ = weights for household in barangay , stratum
ℎ, and ℎ = corn production in household , barangay , stratum ℎ. The
variance is computed as:
ℎ
ℎ ℎ ℎ
̂
( ) = (1 − ) 2 + ∑ (1 − ) 2
ℎ

ℎ ℎ ℎ1 ℎ =1 ℎ ℎ ℎ2 .

ii. Stratified using LH Algorithm
Case 1: PPS selection of barangay, and SRSWOR and systematic selection of
households. Same as Case 1 of Stratified using Iterative Method.
Case 2: Systematic selection of barangays, and SRSWOR and systematic
selection of households. Note, ℎ = ℎ × ℎ . The total corn production is
ℎ ℎ
̂
̂ ̂
̂
computed as: = ∑ ℎ=1 + , = ∑ ℎ ∑ ℎ ℎ ℎ ≡ weighted total

ℎ
1
ℎ
=1
=1
% ℎ 1
̂
̂
production of stratum ℎ , = ( 1−% ℎ % 1 ) ∑ ℎ=1 ≡ total
ℎ
1
production for the take none stratum, Χ ≡ corn farm area, The variance is,
2
% ℎ 1
̂ ̂
̂ ̂
̂ ̂
̂
̂ ̂
() = ∑ ℎ=1 ( ) + ( ) , = ( 1−% ℎ % 1 ) ∑ ℎ=1 ( ) ,
ℎ
0
ℎ
0
̂ ̂
( ) = (1 − ℎ ) 2 + ℎ ∑ ℎ (1 − ℎ ) 2
ℎ
.
ℎ ℎ ℎ1 ℎ =1 ℎ ℎ ℎ2

2.2.4 Recreation of Frame for Simulation
Frame for simulation was recreated by initially building a regression model
for the non-zero corn production data of 2013 CPS: = + ≡ corn

production of province for quarter and ≡ corn farm area of province

for quarter . The regression model was used to predict corn production of
each province per quarter in the 2012 CAF. This recreated frame served as the
sampling frame for simulation. Results of the simulation are compared in
terms of accuracy and precision using mean absolute percentage error (MAPE)
and average coecient of variance (CV).

2.3 Phase 3: Selection of Best Estimation Procedure
2.3.1 Modified Bootstrap 1st Stage
Resampling is done at the first stage (selection of sample barangays).
Steps: (1) Draw sample barangays of size from for each province and for
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