ABSTRACT
A sampling design that provides estimates of population mean and abundance with small
variance is important to researchers. Estimates that are accurate even with minimal sampling
efforts allow researchers to easily and confidently investigate rare populations. In the
determination of efficient sampling design for rare and clustered population, mean square errors
have been applied in many previous research works. However, this method only captures the
variability of the estimator and fails to capture their reliability. This study obtained the interval
estimates based on the design based estimators, the HT and HH estimators. The study examined
the behavior of the Horvitz Thompson (HT) and Hansen Hurwitz (HH) estimators under the
ordinary adaptive cluster sampling design (ACS) and adaptive cluster sampling with data driven
stopping rule (ACS’) design using artificial population that is designed to have all the
characteristics of a rare and clustered population and another population that does not have those
characteristics. The efficiency of HT and HH estimators were used to determine the most
efficient design in estimation of population mean in rare and clustered population. The coverage
probability confidence intervals of population mean based on HT estimators and the HH
estimators were examined. Results of the simulated data show that the adaptive cluster sampling
with stopping rule is the more efficient sampling design for estimation of rare and clustered population than ordinary adaptive cluster sampling.
WAMBUGU, M (2021). Determination Of An Efficient Sampling Design For Rare And Clustered Population Using Design Based Estimators. Afribary. Retrieved from https://afribary.com/works/determination-of-an-efficient-sampling-design-for-rare-and-clustered-population-using-design-based-estimators
WAMBUGU, MWANGI "Determination Of An Efficient Sampling Design For Rare And Clustered Population Using Design Based Estimators" Afribary. Afribary, 15 May. 2021, https://afribary.com/works/determination-of-an-efficient-sampling-design-for-rare-and-clustered-population-using-design-based-estimators. Accessed 22 Nov. 2024.
WAMBUGU, MWANGI . "Determination Of An Efficient Sampling Design For Rare And Clustered Population Using Design Based Estimators". Afribary, Afribary, 15 May. 2021. Web. 22 Nov. 2024. < https://afribary.com/works/determination-of-an-efficient-sampling-design-for-rare-and-clustered-population-using-design-based-estimators >.
WAMBUGU, MWANGI . "Determination Of An Efficient Sampling Design For Rare And Clustered Population Using Design Based Estimators" Afribary (2021). Accessed November 22, 2024. https://afribary.com/works/determination-of-an-efficient-sampling-design-for-rare-and-clustered-population-using-design-based-estimators