TY - GEN
T1 - A preliminary study on the double sampling X-bar chart with unknown parameters
AU - Teoh, W.L.
AU - Khoo, M.B.C.
PY - 2012
Y1 - 2012
N2 - The double sampling (DS) X̄ chart is superior to the traditional Shewhart X̄ chart in detecting small and moderate process mean shifts. In general, the DS X̄ chart is typically designed under the assumption of known parameters. Nevertheless, the actual process parameters are rarely known in practice and are usually estimated from an in-control reference Phase I sample. In this paper, we discuss the effects of parameter estimation on the performance of the DS X̄ chart, for both the in-control and out-of-control situations. It is found that the in-control and out-of-control performances are significantly different from the case when parameters are known, especially when the shifts and the sample sizes are small. In light of these unfavorable performances, the Phase-I sample-size recommendations are provided for practitioners in designing the DS X̄ chart with estimated parameters, so that satisfactory performances as the case with known parameters are attained. © 2012 IEEE.
AB - The double sampling (DS) X̄ chart is superior to the traditional Shewhart X̄ chart in detecting small and moderate process mean shifts. In general, the DS X̄ chart is typically designed under the assumption of known parameters. Nevertheless, the actual process parameters are rarely known in practice and are usually estimated from an in-control reference Phase I sample. In this paper, we discuss the effects of parameter estimation on the performance of the DS X̄ chart, for both the in-control and out-of-control situations. It is found that the in-control and out-of-control performances are significantly different from the case when parameters are known, especially when the shifts and the sample sizes are small. In light of these unfavorable performances, the Phase-I sample-size recommendations are provided for practitioners in designing the DS X̄ chart with estimated parameters, so that satisfactory performances as the case with known parameters are attained. © 2012 IEEE.
KW - Average Run Length
KW - Average Sample Size
KW - Double Sampling X Control Chart
KW - Estimated Parameters
KW - Standard Deviation of the Run Length
U2 - 10.1109/ICIMTR.2012.6236365
DO - 10.1109/ICIMTR.2012.6236365
M3 - Conference contribution
SN - 9781467306553
T3 - ICIMTR 2012 - 2012 International Conference on Innovation, Management and Technology Research
BT - ICIMTR 2012 - 2012 International Conference on Innovation, Management and Technology Research
ER -