Weibull Analysis as a Tool 1 D for Yield Analysis and ...
Weibull Analysis as a Tool
for Yield Analysis and
Control
Charting
Weibull
Distribution
Plot
(Scale
=
1,
Threshold = 0)
Shape 0.8 1
2
3.5
4
10
3
Density
2
Mark Sibley 1
5 4 3
2
X
1
2013-02-24
0 0
M. A. Sibley Consulting ? All Rights Reserved
MAS Weibull for Yield
1
Weibull Analysis for Yield
The Weibull Distribution is the "go to" distribution for modelling reliability data.
It is also a distribution used to model the volume output of a production process where it can give you a sense of the "sprint capability" of the process and how much volume is being lost to special cause ? essentially unreliability.
This training module will cover another use of the Weibull Distribution ? that of fitting the distribution to Yield data.
M. A. Sibley Consulting ? All Rights Reserved
MAS Weibull for Yield
2
Objectives of this module
? To provide background on the Weibull distribution ? To outline how the Weibull distribution can be fitted
to Yield data ? e.g. the Shift or Daily Yield of a Manufacturing Process ? To outline a strategy for automated determination of these parameters and other relevant statistics ? To provide a practical approach to creating a custom control chart based on these parameters ? Discussion on how to automate creation of these control charts
M. A. Sibley Consulting ? All Rights Reserved
MAS Weibull for Yield
3
The Weibull Distribution
? The 2 Parameter Weibull Distribution is defined by:
? Eta () or Scale ? the point at which 63.2% of
the area under the curve is to the left; for high
Shape values this is essentially the peak of the
distribution.
? Beta () or Shape ? changes the shape:
? < =1 is steadily decreasing
? >1 to 3 peaked with a tail to the right
? 3 to 4 bell shaped
? > 4 peaked with a tail to the left
M. A. Sibley Consulting ? All Rights Reserved
MAS Weibull for Yield
4
= 0.8
Scale () = 1
for each graph
= 3.5
Weibull Shape Parameter ()
= 1
The exponential distribution
= 2
= 10
= 30
M. A. Sibley Consulting ? All Rights Reserved
MAS Weibull for Yield
5
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