Rattikarn Taboran.. On designing of new mixed parametric and nonparametric control charts for monitoring a change in process mean. Doctoral Degree(Applied Statistics). King Mongkut's University of Technology North Bangkok. Central Library. : King Mongkut's University of Technology North Bangkok, 2020.
On designing of new mixed parametric and nonparametric control charts for monitoring a change in process mean
Abstract:
Statistical Process Control (SPC) plays an important role in product inspection
and quality control. The popular tool that used to control SPC is the control chart.
This thesis aimed to propose the MME-TCC, MEM-TCC, MMD-TCC, MDM-TCC,
MDE-TCC and MED-TCC control charts to detect the changes of the mean of the
process having the symmetric and asymmetric distribution. The performance of the
proposed control charts are compared with the MA, EWMA, DEWMA, TCC, MME,
MEM, MMD, MDM, MDE and MED control charts, with the criteria to measure the
efficiency being average run length for out of control process (ARL ) and median run
length (MRL), which evaluated using Monte Carlo simulation (MC). The research
results showed that the MMD-TCC and MED-TCC control charts were more efficient
in detection than the other control charts, when the parameter is a small or moderate shift. However, when the parameter is a large shift, the MME-TCC was
the most suitable chart to more quickly detect the change compared with the MMD-
TCC and MED-TCC control charts, with the exception of the detection in the case
that the observation was logistic distribution, in which the MMD-TCC control chart
had more efficiency than the other control charts at all change levels. Only with the
change at -3 and -4 levels did the MME-TCC chart have more efficiency than the
MMD-TCC chart. Moreover, by applying the proposed control chart to two sets of
real data, the mine explosion period in the UK during 1875-1951 and the data of the
diameter of a workpiece from an industrial factory, it was found to be in accordance
with the research results from simulation technique.