The various geographic and topography condition in Indonesia makes several areas in Indonesia have limited access. It
needs a high cost and spends a long time on collecting data onto this area so some researchers tend to exclude this area from the
sampling frame. Incomplete sampling frames influence the inclusion probabilities of the non-included unit in sampling frame and
arises bias. Several approaches could be used to reduce bias, one of them is Predecessor-Successor method. We used a direct
estimation of the total number of agricultural families in Ogan Komering Ilir regency by classical sampling theory and PredecessorSuccessor
method then evaluated their estimators. The results showed Predecessor-Successor method could reduce bias more
effectively than classical sampling theory on a large sample size. Using an appropriate estimation method of a complete frame, the best
estimator will be gotten. If it is unattainable, Predecessor-Successor method can be used to direct estimates of population quantity.
Published In:IJCSN Journal Volume 6, Issue 6
Date of Publication : December 2017
Pages : 792-799
Tables : 03
Asih Maulida : Student of masters degree programs in applied
statistics at Bogor Agricultural University, Indonesia and attained
bachelor degree from the Gajahmada University in 2006.
Farit Mochamad Afendi : Lecturer of Department of Statistics, Bogor
Agricultural University, Indonesia. His research interest in
Geoinformatics. His doctorate degree was attained from Nara
Institute of Science and Technology, Japan.
Kusman Sadik : Lecturer of Department of Statistics, Bogor
Agricultural University, Indonesia. His research interest in statistical
modelling, small area estimation, robust statistics. His doctorate
degree was attained from Bogor Agricultural University, Indonesia. A
part of his courses and research of doctoral was taken at the
University of Maryland, United States.
Coverage Error, Predecessor-Successor, Remote Area
A biased value of the estimator which is caused coverage
error due to the incomplete sampling frame will be
significantly minimized by the Predecessor-Successor
method on medium and large sample size. On the other
hand, classical sampling theories include either simple
sampling method or stratified sampling method will be
more efficient than the Predecessor-Successor method for
small and rather medium sample size.
Using the appropriate estimation method can minimize
the biased problems. The results of the estimator would be
better if all of the units were the target of the population
and included in a frame. However, if a complete frame
cannot be obtained especially region, which has remote
area, Predecessor-Successor method can be chosen as an
alternative method to estimate a population quantity.
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