False Alarm Or A Missed Alert, What Do You Prefer?
What would you prefer in your process - a false alarm or a missed alert?
I am assuming that you are collecting data from your process and viewing it to judge abnormal behaviour so that corrective action can be taken. I am also assuming that the data you are collecting is continuous data, each value is independent of others and the data is normally distributed.
False Alarm - A false alarm occasionally may be okay or you may never want it. It depends. However, too many false alarms can lead to the assumption that something is wrong leading to an unwarranted change in a well behaving process.
Missed Alert - A missed alert may never be acceptable or may be sometimes okay. It depends.
The text in bold requires a discussion and convergence to a logical conclusion. What do you think are the factors on which "it depends".
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