Multistage Median Ranked Set Sampling for Estimating the Population Median

By Abdul Aziz Jemain, Amer Ibrahim Al-Omari, Kamarulzaman Ibrahim. 2007

47 citations recorded by the source corpus.

We modify RSS to come up with new sampling method, namely, Multistage Median Ranked Set Sampling (MMRSS). The MMRSS was suggested for estimating the population median and to increase the efficiency of the estimator for specific value of the sample size. The MMRSS was compared to the Simple Random Sampling (SRS), Ranked Set Sampling (RSS) and Median Ranked Set Sampling (MRSS) methods. It is found that MMRSS gives an unbiased estimate of the population median of symmetric distributions and it is more efficient than SRS, RSS and MRSS based on the same number of measured units. Also, it was found that the efficiency of MMRSS increases in r (r is the number of stage) for specific value of the sample size. For asymmetric distributions considered in this study, MMRSS has a small bias, close to zero as r increases, especially with odd sample size. A set of real data was used to illustrate the method.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/4ecec9b4ce35cd42dba98ca8eb55f629435613da

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Using the Technology Acceptance Model in Understanding Academics' Behavioural Intention to Use Learning Management Systems (2014, background): “Sampling technique While it is difficult to get responses from a whole population, sampling is an attempt to draw a conclusion based on a small representation in a given population[66].”