# statistical question

Six Sigma – iSixSigma Forums Old Forums General statistical question

Viewing 6 posts - 1 through 6 (of 6 total)
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• #49419

bjkeith75
Participant

Hello all,
I’m looking for a calculation to help me with the following –
We have a process with about 150 steps in it.  The project lead, instead of collecting real data, is doing “best guesses” for cycle times and decision diamonds.  I want to be able to show the real accuracy of the final number.  I would expect the overall accuracy to be very low, even at a 95% accuracy on each individual step.  Thanks in advance for the help.

0
#168906

Datalyze
Participant

First, you have to collect the actual data in a reliable manner. In the end, how you collect the data is up to you, but it directly affect the accuracy of your final calculation. The data collection process may be very time consuming since you have many steps in your process [maybe you should narrow this time by targeting key areas in your process]. Once you have collected the data, only then can you decide, (or anyone else for that matter) what calculation you should use. A little more insight into your data or process may shed more light on what you are seeking and maybe I can be of more help. Remember, a “best guess” is never a substitute for actual data.
–Datalyze

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#168937

Eric Maass
Participant

Hi BJKeith,
I have an idea / suggestion for your consideration:
Can you ask the project lead to obtain three estimates (most likely, practical worst case, practical best case) for each of the steps rather than just one estimate? Then, you could build this into a Monte Carlo Simulation model for the total cycle time, and compare that to the distribution of the actual total cycle time.
Best regards,Eric

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#168993

bjkeith75
Participant

Thanks for the response Eric.  While this wasn’t what I was looking for, you gave me some new insight into the situation that will be of help in the future.
I still wouldn’t mind if anyone else could answer the original question (maybe I didn’t word it well).  I have 150 boxes.  Each box is 95% accurate.  What’s my margin of error on the average cycle time?

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#168996

TonyBo
Member

bjkeith75..
You dont have enough information….you need:
N= number of boxes (150)
S= Standard deviation (of the cycle times you took)…
and then run it in the equation:  Squareroot((1.96*S)*((1.96*S)/N))
that will give you your precision.