TY - GEN
T1 - The three statistical control charts using ranked set sampling
AU - Abujiya, Mu'Azu Ramat
AU - Lee, Muhammad Hisyam
PY - 2013
Y1 - 2013
N2 - This article investigated the performance of the three common statistical control charts, the Shewhart x chart, cumulative sum (CUSUM) chart, and exponentially weighted moving average (EWMA) chart for location using ranked set sampling (RSS) instead of the traditional simple random sampling (SRS). Considering a normal population, a Monte Carlo simulation is carried out for several shift values for each of the control chart. The average run length (ARL) showed that the control charts based on RSS data are superior to their corresponding SRS counterparts with no significant difference between CUSUM and EWMA charts. There is an interesting increase in the sensitivity of RSS based Shewhart x chart relative to other charts.
AB - This article investigated the performance of the three common statistical control charts, the Shewhart x chart, cumulative sum (CUSUM) chart, and exponentially weighted moving average (EWMA) chart for location using ranked set sampling (RSS) instead of the traditional simple random sampling (SRS). Considering a normal population, a Monte Carlo simulation is carried out for several shift values for each of the control chart. The average run length (ARL) showed that the control charts based on RSS data are superior to their corresponding SRS counterparts with no significant difference between CUSUM and EWMA charts. There is an interesting increase in the sensitivity of RSS based Shewhart x chart relative to other charts.
KW - Average run length
KW - CUSUM chart
KW - EWMA chart
KW - Shewhart control chart
KW - ranked set sampling
UR - http://www.scopus.com/inward/record.url?scp=84881456972&partnerID=8YFLogxK
U2 - 10.1109/ICMSAO.2013.6552684
DO - 10.1109/ICMSAO.2013.6552684
M3 - Conference contribution
AN - SCOPUS:84881456972
SN - 9781467358149
T3 - 2013 5th International Conference on Modeling, Simulation and Applied Optimization, ICMSAO 2013
BT - 2013 5th International Conference on Modeling, Simulation and Applied Optimization, ICMSAO 2013
T2 - 2013 5th International Conference on Modeling, Simulation and Applied Optimization, ICMSAO 2013
Y2 - 28 April 2013 through 30 April 2013
ER -