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Six Sigma is Possible with RAnd Even Better
Emilio Lopez
Department of Statistics and Operations ResearchRey Juan Carlos University (Madrid)
University of Warwick, August 2011
The R User Conference 2011 - Lightning Talk 1/15
The DMAIC Cycle
The R User Conference 2011 - Lightning Talk 2/15
The Scientific Method
http://electroncafe.wordpress.com/2011/
05/04/scientific-process-rage/
The R User Conference 2011 - Lightning Talk 3/15
The Scientific Method & Six Sigma
DefineAsk a question
Measure
Analyze
Improve
Control
Do some backgroundresearch
Construct a hypothesis
Test the hypothesiswith an experiment
Analyze the data and draw conclusions
Communicate results
DMAIC Cycle Scientific Method
The R User Conference 2011 - Lightning Talk 4/15
The key to success
Science is organized knowledge.
Herbert Spencer
Six Sigma is a quality paradigm which translates thecomplicated scientific terminology into a simple wayto apply the scientific method within everyorganization.
The R User Conference 2011 - Lightning Talk 5/15
Six Sigma Software
The R User Conference 2011 - Lightning Talk 6/15
Six Sigma Software
The R User Conference 2011 - Lightning Talk 7/15
R Challenges
Why NotSix Sigma uses Statistics.
Six Sigma is based in the Scientific Method.
Six Sigma should use R!.
Outstanding advantagesEvery Statistical Tool even in base installation
Extending possibilities
Powerful graphics
The R User Conference 2011 - Lightning Talk 8/15
Packages
qcc Shewhart quality control charts forcontinuous, attribute and count data
IQCC Builds statistical control charts withexact limits for univariate andmultivariate cases.
qualityTools This is a package for teachingstatistical methods in the field of QualityScience [. . . ] The focus is on teaching[. . . ]
SixSigma Our effort for spreading the R thinkingalong Six Sigma practitioners.
The R User Conference 2011 - Lightning Talk 9/15
Six Sigma with R - Springer Use R! Series
FeaturesTitle:Six Sigma with R
Due 2012
350 pages approx.
Wide backgroundscope
Examples, a CaseStudy and practices
The R User Conference 2011 - Lightning Talk 10/15
Process Map
Six Sigma Process Map
Paper Helicopter Project
INPUTSX
operators tools raw material facilities
INSPECTION
INP
UT
S
sheets...
Param.(x): width NCoperator CMeasure pattern Pdiscard P
Featur.(y): ok
ASSEMBLY
INP
UT
S
sheets
Param.(x): operator Ccut Pfix Protor.width Crotor.length Cpaperclip Ctape C
Featur.(y): weight
TEST
INP
UT
S
helicopter
Param.(x): operator Cthrow Pdiscard Penvironment N
Featur.(y): time
LABELING
INP
UT
S
helicopter
Param.(x): operator Clabel P
Featur.(y): label
OUTPUTSY
helicopter LEGEND(C)ontrollable(Cr)itical(N)oise(P)rocedure
The R User Conference 2011 - Lightning Talk 11/15
Gage R&R
Six Sigma Gage R&R Study
Helicopter Project
Components of Variation
Per
cent
0
20
40
60
80
G.R&R Repeat Reprod Part2Part
%Contribution %Study Var
Var by Part
var
1.0
1.2
1.4
1.6
1.8
prot #1 prot #2 prot #3
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Var by appraiser
var
1.0
1.2
1.4
1.6
1.8
op #1 op #2 op #3
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Part*appraiser Interactionva
r
1.1
1.2
1.3
1.4
1.5
1.6
1.7
prot #1 prot #2 prot #3
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op #1op #2
op #3
x Chart by appraiser
part
var
1.1
1.2
1.3
1.4
1.5
1.6
1.7
prot #1 prot #2 prot #3
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op #1
prot #1 prot #2 prot #3
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op #2
prot #1 prot #2 prot #3
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op #3
R Chart by appraiser
part
var
0.1
0.2
0.3
0.4
0.5
prot #1 prot #2 prot #3
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op #1
prot #1 prot #2 prot #3
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op #2
prot #1 prot #2 prot #3
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op #3
The R User Conference 2011 - Lightning Talk 12/15
Capability Analysis
Six Sigma Capability Analysis Study
Winery Project
Histogram & Density
LSL
Target
USL
740 745 750 755 760
Check Normality
●●
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● Shapiro−Wilk Testp−value: 0.07506
Lilliefors (K−S) Testp−value: 0.2291
Normality accepted when p−value > 0.05
Density Lines LegendDensity STTheoretical Dens. STDensity LTTheoretical Density LT
SpecificationsLSL: 740
Target: 750USL: 760
ProcessShort Term
Mean: 749.7625SD: 2.1042
n: 20Zs: 3.14
Long Term
Mean: 752.8443SD: 2.9577
n: 40Zs: 2.42
DPMO:
IndicesShort Term
Cp: 1.5841CI: [1.1,2.1]
Cpk: 1.5465CI: [1.1,2.1]
Long Term
Pp: 1.1270CI: [0.9,1.4]
Ppk: 0.8065CI: [0.9,1.4]
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Open Platform for Quality Methodologies
Open Platform for Quality MethodologiesImproving the European Factory
FP7 PPP Funding Scheme
Looking for Partners
Other ProjectsWe are available for other projects that needpartners in this area
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Conclusion
ThanksWe hope we will be able to convince Six Sigmapractitioners that not only is it possible with R, butit is BETTER with R.
@emilopezcano | [email protected]
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