พีระวุฒิ สนธิสำราญ. Multivariate Control Chart based on Ranked Set Sampling for Multiple Characteristics. Master's Degree(Mathematics). King Mongkut's University of Technology Thonburi. KMUTT Library. : King Mongkut's University of Technology Thonburi, 2010.
Multivariate Control Chart based on Ranked Set Sampling for Multiple Characteristics
Abstract:
The objectives of this research are to construct multivariate control chart from monitoring
product by using ranked set sampling for multiple characteristics (RSSMC),
and to compare the efficiency of multivariate control chart for mean from (RSSMC)
with simple random sampling (SRS) by using Hotelling's T 2 statistic. The efficiencies
of control chart are determined by the average run length (ARL) at shift 0.50
to 3.00. In this research, the data are obtained through the Monte Carlo Simulation
technique was applied to obtain the data and the experiment was constructed from
10,000 samples and it was repeated 1,000 times for each case. The result showed
that the ARL for RSSMC method is less than the ARL for SRS method when the
shift on the process mean occurs. Consequently, the newly developed Hotelling's
control chart is more efficient than the Hotelling's control chart based on simple
random sampling.