Question

In: Statistics and Probability

True or False: Please explain why A Hotelling's T2 control chart is used to monitor processes...

True or False: Please explain why

A Hotelling's T2 control chart is used to monitor processes with short production runs

Solutions

Expert Solution

It is true that Hotelling's T2 control chart is used to monitor processes with short production runs.

A control chart is an effective Statistical Process Control (SPC) tool that is widely adopted in the process and service industries to monitor changes in a process over time and increase productivity. The main purpose of a control chart is to identify the occurrence of assignable causes in a production system so that corrective actions can be taken well in time to eliminate them before the production of nonconforming units.

Short production runs are common in enterprises that require a high degree of flexibility and variety in manufacturing processes. Fixed sample size (FSS) and variable sample size (VSS) Hotelling's T 2 charts are designed to monitor the process mean when the production horizon is finite. The VSS T 2 short-run chart performs well in swiftly detecting various mean shifts in comparison with the FSS T 2 short-run chart. Additionally, the VSS T 2 short-run chart is superior to the FSS T 2 short-run chart, in terms of the truncated standard deviation of the run length, expected truncated standard deviation of the run length, probability that the chart signals an alarm within the I inspections, ie, P(I) and expected P(I).

In precise, Hotelling's T 2 charts explains the process mean shifts in short production runs better compared to other charts.


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