We track a metric that consists of the fraction of hours that a machine
was not running during a week. The numerator is the number of hours
not running and the denominator is the number of hours running plus the
hours not running. This is a weekly metric. I wish to calculate
control limits on this metric such that I can pinpoint if in a
particular week the machine is out of control. What is the
distribution of this statistic so that I can calculate the lower and
upper limits? or should I just estimate the distribution with
historical data and calculate the limits from there? What do you
recommend.
Lenin
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