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6σ Quality Using R


     Emilio Lopez


Six Sigma
Methodology
Introduction
                                  Six Sigma Quality Using R
Roles
Tools                                                  Tools and Training
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
                                    Emilio Lopez, Andres Redchuk and
Courses
Publications
                                           Javier M. Moguerza
Further

References                               Department of Statistics and Operations Research
                                               Rey Juan Carlos University (Madrid)


                               The University of Warwick, August 2011



                          The R User Conference 2011                                        1/37
6σ Quality Using R        Outline
     Emilio Lopez


Six Sigma
                          1    Six Sigma Methodology
Methodology
Introduction
                                  Introduction
Roles
Tools
                                  Roles
Six Sigma with R
Six Sigma Software
                                  Tools
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                          The R User Conference 2011   2/37
6σ Quality Using R        Outline
     Emilio Lopez


Six Sigma
                          1    Six Sigma Methodology
Methodology
Introduction
                                  Introduction
Roles
Tools
                                  Roles
Six Sigma with R
Six Sigma Software
                                  Tools
R Advantages
R Packages for SixSigma   2    Six Sigma with R
Spreading 6σ & R
Courses                           Six Sigma Software
Publications
Further                           R Advantages
References
                                  R Packages for SixSigma




                          The R User Conference 2011        2/37
6σ Quality Using R        Outline
     Emilio Lopez


Six Sigma
                          1    Six Sigma Methodology
Methodology
Introduction
                                  Introduction
Roles
Tools
                                  Roles
Six Sigma with R
Six Sigma Software
                                  Tools
R Advantages
R Packages for SixSigma   2    Six Sigma with R
Spreading 6σ & R
Courses                           Six Sigma Software
Publications
Further                           R Advantages
References
                                  R Packages for SixSigma
                          3    Spreading 6σ & R thinking
                                 Courses
                                 Publications
                                 Further
                          The R User Conference 2011        2/37
6σ Quality Using R        Outline
     Emilio Lopez


Six Sigma
                          1    Six Sigma Methodology
Methodology
Introduction
                                  Introduction
Roles
Tools
                                  Roles
Six Sigma with R
Six Sigma Software
                                  Tools
R Advantages
R Packages for SixSigma   2    Six Sigma with R
Spreading 6σ & R
Courses                           Six Sigma Software
Publications
Further                           R Advantages
References
                                  R Packages for SixSigma
                          3    Spreading 6σ & R thinking
                                 Courses
                                 Publications
                                 Further
                          The R User Conference 2011        3/37
6σ Quality Using R        The Basics
     Emilio Lopez         Quality

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011   4/37
6σ Quality Using R        The Basics
     Emilio Lopez         Quality

Six Sigma
Methodology
Introduction
Roles
Tools
                          Classical approach
Six Sigma with R          The Key Characteristic of a
Six Sigma Software
R Advantages
                          product/service/process
R Packages for SixSigma
                          must be inside the
Spreading 6σ & R
Courses                   specification limits
Publications
Further

References




                           The R User Conference 2011   4/37
6σ Quality Using R        The Basics
     Emilio Lopez         Quality

Six Sigma
Methodology
Introduction
Roles
Tools
                          Classical approach
Six Sigma with R          The Key Characteristic of a
Six Sigma Software
R Advantages
                          product/service/process
R Packages for SixSigma
                          must be inside the
Spreading 6σ & R
Courses                   specification limits
Publications
Further

References
                          Six Sigma approach
                          The Key Characteristic
                          approximate the target,
                          with as less variation as
                          possible.

                           The R User Conference 2011   4/37
6σ Quality Using R        The Basics
     Emilio Lopez         Quality

Six Sigma
Methodology
Introduction
Roles
Tools
                          Classical approach
Six Sigma with R          The Key Characteristic of a
Six Sigma Software
R Advantages
                          product/service/process
R Packages for SixSigma
                          must be inside the
Spreading 6σ & R
                          specification limits




                                                        Cost of Poor Quality
Courses
Publications
                                                                               LSL                     T                    USL
Further

References
                          Six Sigma approach
                          The Key Characteristic
                          approximate the target,
                          with as less variation as                                  Observed value of the characteristic



                          possible.

                           The R User Conference 2011                                                                         4/37
6σ Quality Using R        The Basics
     Emilio Lopez         Quality

Six Sigma
Methodology
Introduction
Roles
Tools
                          Classical approach
Six Sigma with R          The Key Characteristic of a
Six Sigma Software
R Advantages
                          product/service/process
R Packages for SixSigma
                          must be inside the
Spreading 6σ & R
                          specification limits




                                                        Cost of Poor Quality
Courses
Publications
                                                                               LSL                     T                    USL
Further

References
                          Six Sigma approach
                          The Key Characteristic
                          approximate the target,
                          with as less variation as                                  Observed value of the characteristic



                          possible.

                           The R User Conference 2011                                                                         4/37
6σ Quality Using R        The Basics
     Emilio Lopez         Quality

Six Sigma
Methodology
Introduction
Roles
Tools
                          Classical approach
Six Sigma with R          The Key Characteristic of a
Six Sigma Software
R Advantages
                          product/service/process
R Packages for SixSigma
                          must be inside the
Spreading 6σ & R
                          specification limits




                                                        Cost of Poor Quality
Courses
Publications
                                                                               LSL                     T                    USL
Further

References
                          Six Sigma approach
                          The Key Characteristic
                          approximate the target,
                          with as less variation as                                  Observed value of the characteristic



                          possible.

                           The R User Conference 2011                                                                         4/37
6σ Quality Using R        The Basics
     Emilio Lopez         Example

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                                             Figure: Paper Helicopter Design

                                                        Box [1992]
                           The R User Conference 2011                          5/37
6σ Quality Using R        The Basics
     Emilio Lopez         DMAIC Strategy

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011   6/37
6σ Quality Using R        The Basics
     Emilio Lopez         DMAIC Strategy

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011   7/37
6σ Quality Using R        The Basics
     Emilio Lopez         DMAIC Strategy

Six Sigma
Methodology
Introduction
                           Define
Roles
Tools
                           State problem, objectives, prioritize, and launch project
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011                            7/37
6σ Quality Using R        The Basics
     Emilio Lopez         DMAIC Strategy

Six Sigma
Methodology
Introduction
                           Define
Roles
Tools
                           State problem, objectives, prioritize, and launch project
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma
                          Measure
Spreading 6σ & R          Understand the
Courses
Publications              Process, validate
Further
                          data accuracy,
References
                          determine process
                          capability




                           The R User Conference 2011                            7/37
6σ Quality Using R        The Basics
     Emilio Lopez         DMAIC Strategy

Six Sigma
Methodology
Introduction
                           Define
Roles
Tools
                           State problem, objectives, prioritize, and launch project
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma
                          Measure                       Analyze
Spreading 6σ & R          Understand the                Determine the
Courses
Publications              Process, validate             relationship
Further
                          data accuracy,                between the Y’s
References
                          determine process             and the X’s and
                          capability                    look for causes.




                           The R User Conference 2011                            7/37
6σ Quality Using R        The Basics
     Emilio Lopez         DMAIC Strategy

Six Sigma
Methodology
Introduction
                           Define
Roles
Tools
                           State problem, objectives, prioritize, and launch project
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma
                          Measure                       Analyze            Improve
Spreading 6σ & R          Understand the                Determine the      Determine
Courses
Publications              Process, validate             relationship       solutions to
Further
                          data accuracy,                between the Y’s    achieve the
References
                          determine process             and the X’s and    objective, and
                          capability                    look for causes.   implement.




                           The R User Conference 2011                                   7/37
6σ Quality Using R        The Basics
     Emilio Lopez         DMAIC Strategy

Six Sigma
Methodology
Introduction
                           Define
Roles
Tools
                           State problem, objectives, prioritize, and launch project
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma
                          Measure                       Analyze            Improve
Spreading 6σ & R          Understand the                Determine the      Determine
Courses
Publications              Process, validate             relationship       solutions to
Further
                          data accuracy,                between the Y’s    achieve the
References
                          determine process             and the X’s and    objective, and
                          capability                    look for causes.   implement.

                           Control
                           Process control, monitoring and auto-controlling
                           methods
                           The R User Conference 2011                                   7/37
6σ Quality Using R        Roles in Six Sigma
     Emilio Lopez         Description

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
                           In Six Sigma, everyone in the organization has
R Advantages
R Packages for SixSigma
                            a role in the project. Six Sigma methodology
Spreading 6σ & R            uses an intuitive categorization of these roles.
Courses
Publications
Further

References




                           The R User Conference 2011                    8/37
6σ Quality Using R        Roles in Six Sigma
     Emilio Lopez         Description

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
                           In Six Sigma, everyone in the organization has
R Advantages
R Packages for SixSigma
                            a role in the project. Six Sigma methodology
Spreading 6σ & R            uses an intuitive categorization of these roles.
Courses
Publications
Further

References




                           The R User Conference 2011                    8/37
6σ Quality Using R        Roles for Six Sigma
     Emilio Lopez         Diagram

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011   9/37
6σ Quality Using R        Tools
     Emilio Lopez         For Every DMAIC Phase

Six Sigma
Methodology
Introduction
                           Any Statistical, planning or management tool
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011               10/37
6σ Quality Using R        Tools
     Emilio Lopez         For Every DMAIC Phase

Six Sigma
Methodology
Introduction
                           Any Statistical, planning or management tool
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011               10/37
6σ Quality Using R        Outline
     Emilio Lopez


Six Sigma
                          1    Six Sigma Methodology
Methodology
Introduction
                                  Introduction
Roles
Tools
                                  Roles
Six Sigma with R
Six Sigma Software
                                  Tools
R Advantages
R Packages for SixSigma   2    Six Sigma with R
Spreading 6σ & R
Courses                           Six Sigma Software
Publications
Further                           R Advantages
References
                                  R Packages for SixSigma
                          3    Spreading 6σ & R thinking
                                 Courses
                                 Publications
                                 Further
                          The R User Conference 2011        11/37
6σ Quality Using R        Commercial Software
     Emilio Lopez         State-of-the-art

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011   12/37
6σ Quality Using R        Commercial Software
     Emilio Lopez         State-of-the-art

Six Sigma
Methodology
Introduction
Roles
Tools                                                   Programs
Six Sigma with R
Six Sigma Software
R Advantages
                                                           Minitab
R Packages for SixSigma

Spreading 6σ & R
                                                           SPSS
Courses
Publications                                               StatGraphics
Further

References                                                 JMP & SAS
                                                           Any statistical
                                                           software, or even
                                                           spreadsheets


                           The R User Conference 2011                          12/37
6σ Quality Using R        Commercial Software
     Emilio Lopez         Trends

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011   13/37
6σ Quality Using R        Commercial Software
     Emilio Lopez         Trends

Six Sigma
Methodology
Introduction
Roles
Tools
                            Internet
Six Sigma with R
Six Sigma Software
                                     Software as a
R Advantages
R Packages for SixSigma
                                     Service
Spreading 6σ & R
Courses
                                     Web
Publications
Further                              Applications
References
                                     Everywhere
                                     Every display



                           The R User Conference 2011   13/37
6σ Quality Using R        Commercial Software
     Emilio Lopez         Trends

Six Sigma
Methodology
Introduction
Roles
Tools
                            Internet                    Open
Six Sigma with R
Six Sigma Software
                                     Software as a      Technologies
R Advantages
R Packages for SixSigma
                                     Service               Linux
Spreading 6σ & R
Courses
                                     Web                   OpenOffice
Publications
Further                              Applications
References                                                 R
                                     Everywhere
                                                           ...
                                     Every display



                           The R User Conference 2011                  13/37
6σ Quality Using R        R Advantages
     Emilio Lopez         Customization + Innovation = Competitiveness

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011                    14/37
6σ Quality Using R        R Advantages
     Emilio Lopez         Customization + Innovation = Competitiveness

Six Sigma
Methodology
Introduction
                           Customization
Roles
Tools
                           A company can develop a package that fits its
Six Sigma with R           inner procedures and methods.
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011                    14/37
6σ Quality Using R        R Advantages
     Emilio Lopez         Customization + Innovation = Competitiveness

Six Sigma
Methodology
Introduction
                           Customization
Roles
Tools
                           A company can develop a package that fits its
Six Sigma with R           inner procedures and methods.
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
                           Innovation
Courses
Publications               A company can develop and deploy an
Further

References
                           innovative method from its R&D department,
                           or from the result of other published
                           researches.



                           The R User Conference 2011                    14/37
6σ Quality Using R        Other Authors
     Emilio Lopez         Packages

Six Sigma
Methodology
Introduction
                           qcc 2.01 (Scrucca [2004])
Roles
Tools                      Shewhart quality control charts for continuous,
Six Sigma with R
Six Sigma Software
                           attribute and count data [. . . ]
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011                        15/37
6σ Quality Using R        Other Authors
     Emilio Lopez         Packages

Six Sigma
Methodology
Introduction
                           qcc 2.01 (Scrucca [2004])
Roles
Tools                      Shewhart quality control charts for continuous,
Six Sigma with R
Six Sigma Software
                           attribute and count data [. . . ]
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
                           IQCC 0.5 (Recchia et al. [2010])
Publications
Further                    Builds statistical control charts with exact limits for
References                 univariate and multivariate cases.




                           The R User Conference 2011                                15/37
6σ Quality Using R        Other Authors
     Emilio Lopez         Packages

Six Sigma
Methodology
Introduction
                           qcc 2.01 (Scrucca [2004])
Roles
Tools                      Shewhart quality control charts for continuous,
Six Sigma with R
Six Sigma Software
                           attribute and count data [. . . ]
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
                           IQCC 0.5 (Recchia et al. [2010])
Publications
Further                    Builds statistical control charts with exact limits for
References                 univariate and multivariate cases.

                           qualityTools 1.47 (Roth [2011])
                           This is a package for teaching statistical methods in the
                           field of Quality Science [. . . ] The focus is on teaching
                           [. . . ]
                           The R User Conference 2011                                15/37
6σ Quality Using R        SixSigma package
     Emilio Lopez         Focused in SixSigma Practitioners

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
                            Version History                   Functions
Six Sigma Software                                            ss.pMap
R Advantages                    1    0.2.0 March 2011
R Packages for SixSigma                                       ss.ceDiag
Spreading 6σ & R                2    0.2.1 April 2011         ss.rr
Courses
Publications                                                  ss.ci
Further
                                3    0.3.0 July 2011          ss.study.ca
References
                                     (current)                ss.ca.yield
                                                              ss.ca.z
                            Data                              ss.ca.cp
                                ss.data.rr                    ss.ca.cpk
                                ss.data.ca                    ss.heli

                           The R User Conference 2011                       16/37
6σ Quality Using R        Helicopter
     Emilio Lopez         Training Stuff

Six Sigma
Methodology
Introduction
Roles
Tools
                                  Template in pdf format to build paper
Six Sigma with R
Six Sigma Software                 helicopter prototypes (Box [1992])
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References
                           > ss.heli()

                           null device
                                     1

                           > #vignette("HelicopterInstructions") for instructions




                           The R User Conference 2011                               17/37
Six Sigma with R | Paper Helicopter template
                                                                                   max
                                                                                   (9.5cm)


                                                                                   std
                                                                                   (8cm)


                                                                                   min
                                                                                   (6.5cm)




                                                                                ← wings length →
                                              cut
                                         ?
                                     pe
            fold ↑                                             fold ↓




                                    ta
cut




      cut                                                                 cut




                                                                                ← body length →
                            tape?




                                                    tape?


                                                                                   min
                                                                                   (6.5cm)


                                                                                   std
                 fold ↓ ↓




                                                             fold ↑ ↑


                                                                                   (8cm)


                                          clip?                                    max
             max        min   ← body width →           min         max             (9.5cm)
             (6cm)    (4cm)                         (4cm)         (6cm)
6σ Quality Using R        Diagrams
     Emilio Lopez         SixSigma Package

Six Sigma
Methodology                Cause-and-effect Diagram
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
                           > example(ss.ceDiag)
R Advantages
R Packages for SixSigma    ss.cDg>   #Data
Spreading 6σ & R
                           ss.cDg>   effect<-"Flight Time"
Courses
                           ss.cDg>   causes.gr<-c("Operator", "Environment", "Tools", "Design",
Publications               ss.cDg+     "Raw.Material","Measure.Tool")
Further
                           ss.cDg>   causes<-vector(mode="list", length=length(causes.gr))
References                 ss.cDg>   causes[1]<-list(c("operator #1", "operator #2", "operator #3
                           ss.cDg>   causes[2]<-list(c("height", "cleaning"))
                           ss.cDg>   causes[3]<-list(c("scissors", "tape"))
                           ss.cDg>   causes[4]<-list(c("rotor.length", "rotor.width2", "paperclip
                           ss.cDg>   causes[5]<-list(c("thickness", "marks"))
                           ss.cDg>   causes[6]<-list(c("calibrate", "model"))
                           ss.cDg>   ss.ceDiag(effect, causes.gr, causes, sub="Paper Helicopter P




                           The R User Conference 2011                                    19/37
6σ Quality Using R        Cause-and-Effect Diagram
     Emilio Lopez         SixSigma Package

Six Sigma
Methodology
Introduction
                                             Six Sigma Cause−and−effect Diagram
Roles
Tools

Six Sigma with R
Six Sigma Software                          Operator      Environment                   Tools
R Advantages                                     operator #1           height                   scissors
                                                   operator #2           cleaning                  tape
R Packages for SixSigma
                                                      operator #3

Spreading 6σ & R
Courses
Publications
Further
                                                                                                                              Flight Time
References



                                                                                                                  paperclip
                                                              model                    marks                  rotor.width2
                                                           calibrate                thickness              rotor.length

                                                Measure.Tool Raw.Material                          Design




                                                                       Paper Helicopter Project


                           The R User Conference 2011                                                                                       20/37
6σ Quality Using R        Diagrams
     Emilio Lopez         SixSigma Package

Six Sigma
Methodology
                           Process Map
Introduction
Roles
Tools
                           > example(ss.pMap)
Six Sigma with R           ss.pMp> inputs.overall<-c("operators", "tools", "raw material", "fac
Six Sigma Software
R Advantages
                           ss.pMp> outputs.overall<-c("helicopter")
R Packages for SixSigma    ss.pMp> procs<-c("INSPECTION", "ASSEMBLY", "TEST", "LABELING")
Spreading 6σ & R
                           ss.pMp> input.output<-vector(mode="list",length=length(procs))
Courses                    ss.pMp> input.output[1]<-list(c("sheets", "..."))
Publications               . . .
Further
                           ss.pMp> x.parameters<-vector(mode="list",length=length(procs))
References                 ss.pMp> x.parameters[1]<-list(c(list(c("width", "NC")),list(c("opera
                           ss.pMp+ list(c("Measure pattern", "P")), list(c("discard", "P"))))
                           . . .
                           ss.pMp> y.features<-vector(mode="list",length=length(procs))
                           ss.pMp> y.features[1]<-list(c(list(c("ok", "Cr"))))
                           . . .
                           ss.pMp> ss.pMap(procs, inputs.overall, outputs.overall,
                           ss.pMp+         input.output, x.parameters, y.features,
                           ss.pMp+         sub="Paper Helicopter Project")

                           The R User Conference 2011                                  21/37
6σ Quality Using R        Process Map Diagram
     Emilio Lopez         SixSigma Package

Six Sigma
Methodology
Introduction
                                                                   Six Sigma Process Map
Roles
Tools                                                                   operators
                                                   INPUTS
                                                                        tools
Six Sigma with R                                      X                 raw material
Six Sigma Software                                                      facilities
R Advantages
R Packages for SixSigma                   INSPECTION                        ASSEMBLY                           TEST                      LABELING
                                             sheets                           sheets                         helicopter                  helicopter
Spreading 6σ & R                               ...
                                          INPUTS




                                                                        INPUTS




                                                                                                    INPUTS




                                                                                                                                INPUTS
Courses
Publications
Further
                                        Param.(x): width NC          Param.(x): operator C        Param.(x): operator C       Param.(x): operator C
References                                          operator C                   cut P                        throw P                     label P
                                                    Measure pattern P            fix P                        discard P       Featur.(y): label
                                                    discard P                    rotor.width C                environment N
                                        Featur.(y): ok                           rotor.length C   Featur.(y): time
                                                                                 paperclip C
                                                                                 tape C
                                                                     Featur.(y): weight




                                         LEGEND
                                                                                                              helicopter
                                         (C)ontrollable                                                                                  OUTPUTS
                                         (Cr)itical
                                         (N)oise
                                                                                                                                            Y
                                         (P)rocedure


                                                                                 Paper Helicopter Project


                           The R User Conference 2011                                                                                                 22/37
6σ Quality Using R        Gage R&R Study
     Emilio Lopez         Measurement System Analysis

Six Sigma
Methodology
Introduction               > #... Some theme instructions
Roles
                           > ss.rr(time1, prototype, operator,
Tools
                           +                 data=ss.data.rr, sub="Helicopter Project")
Six Sigma with R
Six Sigma Software
                           Analysis of Variance Table
R Advantages
R Packages for SixSigma    Response: var
Spreading 6σ & R                         Df  Sum Sq Mean Sq F value    Pr(>F)
Courses                    part           2 1.20072 0.60036 28.0396 2.952e-06
Publications
                           appr           2 0.05294 0.02647 1.2363     0.3140
Further
                           part:appr      4 0.08339 0.02085 0.9737     0.4462
References                 Repeatability 18 0.38540 0.02141
                                               VarComp %Contrib
                           Total Gage R&R    0.0220358    25.50
                             Repeatability   0.0214111    24.77
                             Reproducibility 0.0006247     0.72
                               appr          0.0006247      0.72
                               part:appr     0.0000000     0.00
                           Part-To-Part      0.0643901    74.50
                           Total Variation   0.0864259   100.00
                           . . .
                           The R User Conference 2011                                     23/37
Six Sigma Gage R&R Study
                                                  Components of Variation                                                                                       Var by Part

                                                                                                                                      1.8
                                                                                                                                                                                         q
          80                                                                                                                                                                             q
                                                                                                                                                                                         q
                                                                                                                                                                                         q
                                                                                                                                                                                         q
                                                                                                                                      1.6
          60
                                                                                                                                                                       q
                                                                                                                                                                                         q
Percent




                                                                                                                                      1.4




                                                                                                                                var
          40                                                                                                                                  q
                                                                                                                                              q
                                                                                                                                              q
                                                                                                                                              q                                          q
                                                                                                                                                                       q
                                                                                                                                      1.2
          20                                                                                                                                                           q
                                                                                                                                                                       q
                                                                                                                                                                       q
                                                                                                                                              q                        q
                                                                                                                                      1.0                              q
          0
                                                                                                                                              q
                          G.R&R                    Repeat                      Reprod               Part2Part
                                                                                                                                            prot #1                  prot #2           prot #3
                                       %Contribution                       %Study Var

                                                    R Chart by appraiser                                                                                      Var by appraiser

                                                       prot #1   prot #2      prot #3
                                                                                                                                      1.8
                                                                                                                                              q                        q
                             op #1                               op #2                             op #3                                      q
          0.5                                                                                                                                                                            q
                                          q                                                                                                                            q
                                                                                                                                                                       q                 q
                                                                                                                                      1.6
          0.4                                                                                                                                                                            q
                  q                                                                                                                                                                      q
                                                                                                    q                                 1.4




                                                                                                                                var
          0.3                                                                                                                                                          q
var




                                                                                                                                                                       q
                                                                   q                                              q                           q
                                                                                                                                              q                        q                 q
                                                                                                                                                                       q
          0.2                                                                                                                         1.2
                                                                                          q                                                   q                        q                 q
                                                                                                                                              q
                                                                                q                                                             q                                          q
          0.1
                                  q                      q                                                                            1.0                              q

                                                                                                                                              q
                prot #1      prot #2    prot #3                                         prot #1   prot #2       prot #3
                                                                                                                                            op #1                    op #2              op #3
                                                                 part

                                                    x Chart by appraiser                                                                              Part*appraiser Interaction

                                                       prot #1   prot #2      prot #3
                                                                                                                                      1.7                                                 q
                             op #1                               op #2                             op #3
          1.7                                                                   q
                                                                                                                                      1.6                                                 q

          1.6                             q                                                                       q                   1.5
                                                                                                                                var




          1.5                                                                                                                         1.4
var




          1.4                                                                                                                                   q
                                                                                                                                      1.3
                                                         q                                                                                                              q
          1.3
                                                                                                    q                                 1.2
          1.2                                                                                                                                   q
                                                                                          q                                                                             q
          1.1                     q                                q                                                                  1.1       q
                  q
                                                                                                                                            prot #1                  prot #2           prot #3
                prot #1      prot #2    prot #3                                         prot #1   prot #2       prot #3
                                                                                                                                                      op #1                    op #3
                                                                 part                                                                                 op #2




                                                                                                                      Helicopter Project
6σ Quality Using R        Capability Analysis
     Emilio Lopez


Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R          > ss.ca.yield(c(3, 5, 12), c(1, 2, 4), 1915)
Six Sigma Software
R Advantages                    Yield       FTY       RTY DPU    DPMO
R Packages for SixSigma
                          1 0.9895561 0.9859008 0.9859563 20 10443.86
Spreading 6σ & R
Courses                   > ss.ca.cpk(ss.data.ca$Volume, 740, 760)
Publications
Further                   [1] 1.546513
References
                          > ss.study.ca(ss.data.ca$Volume, rnorm(40, 753, 3), LSL = 740,
                          +     USL = 760, T = 750, alpha = 0.5, f.sub = "Winery Project")




                          The R User Conference 2011                                  25/37
Six Sigma Capability Analysis Study
              Histogram & Density                                Density Lines Legend
                                  Target                                   Density ST
                                                                           Theoretical Dens. ST
                                                                           Density LT
                                                                           Theoretical Density LT


     LSL                                     USL                      Specifications
                                                                         LSL: 740
                                                                       Target: 750
                                                                         USL: 760



                                                              Short Term Process Long Term
740           745             750     755        760
                                                               Mean: 749.7625      Mean: 752.8443
                Check Normality                                  SD: 2.1042          SD: 2.9577
                                                                   n: 20               n: 40
                                      Shapiro−Wilk Test           Zs: 3.14            Zs: 2.42
                              q
                                      p−value: 0.07506                            DPMO:
                          q
                                                              Short Term Indices       Long Term
                     qq
                 q qq
                                      Lilliefors (K−S) Test      Cp: 1.5841          Pp: 1.1270
                qq
             qq
            qq
               q                       p−value: 0.2291            CI: [1.1,2.1]       CI: [0.9,1.4]
          qq
        qq
    q
q                                                               Cpk: 1.5465          Ppk: 0.8065
                                                                  CI: [1.1,2.1]       CI: [0.9,1.4]
    Normality accepted when p−value > 0.05

                                           Winery Project
6σ Quality Using R        Further Development
     Emilio Lopez         On the Way

Six Sigma
Methodology
Introduction
Roles
Tools                              Functions for a wide range of tools along
Six Sigma with R
Six Sigma Software
                                   all the DMAIC phases.
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011                    27/37
6σ Quality Using R        Further Development
     Emilio Lopez         On the Way

Six Sigma
Methodology
Introduction
Roles
Tools                              Functions for a wide range of tools along
Six Sigma with R
Six Sigma Software
                                   all the DMAIC phases.
R Advantages
R Packages for SixSigma            Improved graphics
Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011                    27/37
6σ Quality Using R        Further Development
     Emilio Lopez         On the Way

Six Sigma
Methodology
Introduction
Roles
Tools                              Functions for a wide range of tools along
Six Sigma with R
Six Sigma Software
                                   all the DMAIC phases.
R Advantages
R Packages for SixSigma            Improved graphics
Spreading 6σ & R
Courses
Publications
                                   Tackle Further methodologies (DFSS,
Further
                                   Lean, . . . )
References




                           The R User Conference 2011                    27/37
6σ Quality Using R        Further Development
     Emilio Lopez         On the Way

Six Sigma
Methodology
Introduction
Roles
Tools                              Functions for a wide range of tools along
Six Sigma with R
Six Sigma Software
                                   all the DMAIC phases.
R Advantages
R Packages for SixSigma            Improved graphics
Spreading 6σ & R
Courses
Publications
                                   Tackle Further methodologies (DFSS,
Further
                                   Lean, . . . )
References

                                   Non-normal / Non-linear methods




                           The R User Conference 2011                    27/37
6σ Quality Using R        Further Development
     Emilio Lopez         On the Way

Six Sigma
Methodology
Introduction
Roles
Tools                              Functions for a wide range of tools along
Six Sigma with R
Six Sigma Software
                                   all the DMAIC phases.
R Advantages
R Packages for SixSigma            Improved graphics
Spreading 6σ & R
Courses
Publications
                                   Tackle Further methodologies (DFSS,
Further
                                   Lean, . . . )
References

                                   Non-normal / Non-linear methods
                                   Bayesian perspective



                           The R User Conference 2011                    27/37
6σ Quality Using R        Further Development
     Emilio Lopez         On the Way

Six Sigma
Methodology
Introduction
Roles
Tools                              Functions for a wide range of tools along
Six Sigma with R
Six Sigma Software
                                   all the DMAIC phases.
R Advantages
R Packages for SixSigma            Improved graphics
Spreading 6σ & R
Courses
Publications
                                   Tackle Further methodologies (DFSS,
Further
                                   Lean, . . . )
References

                                   Non-normal / Non-linear methods
                                   Bayesian perspective
                                   Maybe a GUI


                           The R User Conference 2011                    27/37
6σ Quality Using R        Outline
     Emilio Lopez


Six Sigma
                          1    Six Sigma Methodology
Methodology
Introduction
                                  Introduction
Roles
Tools
                                  Roles
Six Sigma with R
Six Sigma Software
                                  Tools
R Advantages
R Packages for SixSigma   2    Six Sigma with R
Spreading 6σ & R
Courses                           Six Sigma Software
Publications
Further                           R Advantages
References
                                  R Packages for SixSigma
                          3    Spreading 6σ & R thinking
                                 Courses
                                 Publications
                                 Further
                          The R User Conference 2011        28/37
6σ Quality Using R        VRTUOSI project
     Emilio Lopez         European Lifelong Learning Programme

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References
                                   www.vrtuosi.com




                           The R User Conference 2011            29/37
6σ Quality Using R        VRTUOSI project
     Emilio Lopez         European Lifelong Learning Programme

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References
                                   www.vrtuosi.com
                                   Code Project: LLP 502869-LLP-1-2009-ES-ERASMUS-EVC




                           The R User Conference 2011                                   29/37
6σ Quality Using R        VRTUOSI project
     Emilio Lopez         European Lifelong Learning Programme

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References
                                   www.vrtuosi.com
                                   Code Project: LLP 502869-LLP-1-2009-ES-ERASMUS-EVC

                                   One of the Courses: Quality Control: Six
                                   Sigma


                           The R User Conference 2011                                   29/37
6σ Quality Using R        VRTUOSI project
     Emilio Lopez         European Lifelong Learning Programme

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References
                                   www.vrtuosi.com
                                   Code Project: LLP 502869-LLP-1-2009-ES-ERASMUS-EVC

                                   One of the Courses: Quality Control: Six
                                   Sigma
                                   Developed and carried out through the
                                   Six Sigma methodology.
                           The R User Conference 2011                                   29/37
6σ Quality Using R        Master On Line
     Emilio Lopez         Master in Decision Systems Engineering

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further
                                   Rey Juan Carlos University (www.urjc.es)
References




                           The R User Conference 2011                   31/37
6σ Quality Using R        Master On Line
     Emilio Lopez         Master in Decision Systems Engineering

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further
                                   Rey Juan Carlos University (www.urjc.es)
References                         First master in Business Analytics in
                                   Spain




                           The R User Conference 2011                   31/37
6σ Quality Using R        Master On Line
     Emilio Lopez         Master in Decision Systems Engineering

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further
                                   Rey Juan Carlos University (www.urjc.es)
References                         First master in Business Analytics in
                                   Spain
                                   Unique Certificate in e-learning



                           The R User Conference 2011                   31/37
6σ Quality Using R        Master On Line
     Emilio Lopez         Master in Decision Systems Engineering

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further
                                   Rey Juan Carlos University (www.urjc.es)
References                         First master in Business Analytics in
                                   Spain
                                   Unique Certificate in e-learning
                                   Mention of Quality in ANECA


                           The R User Conference 2011                   31/37
6σ Quality Using R        Master On Line
     Emilio Lopez         Master in Decision Systems Engineering

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further
                                   Rey Juan Carlos University (www.urjc.es)
References                         First master in Business Analytics in
                                   Spain
                                   Unique Certificate in e-learning
                                   Mention of Quality in ANECA
                                   Six Sigma Quality subject. R used in
                                   most of the subjects.
                           The R User Conference 2011                   31/37
6σ Quality Using R        Book
     Emilio Lopez         Springer Use R! Series

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011   32/37
6σ Quality Using R        Book
     Emilio Lopez         Springer Use R! Series

Six Sigma
Methodology
Introduction
Roles
                                                        Features
Tools

Six Sigma with R
                                                           Title:
Six Sigma Software
R Advantages
                                                           Six Sigma with R
R Packages for SixSigma

Spreading 6σ & R
                                                           Due 2012
Courses
Publications
Further
                                                           350 pages approx.
References                                                 Wide background
                                                           scope
                                                           Examples, a Case
                                                           Study and
                                                           practices
                           The R User Conference 2011                    32/37
6σ Quality Using R        Further Projects
     Emilio Lopez         Platform

Six Sigma
Methodology
Introduction
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                           The R User Conference 2011   33/37
6σ Quality Using R        Further Projects
     Emilio Lopez         Platform

Six Sigma
Methodology
Introduction
                           Open Platform for Quality
Roles
Tools                      Methodologies
Six Sigma with R
Six Sigma Software
R Advantages
                                   Improving the European Factory (link)
R Packages for SixSigma

Spreading 6σ & R
                                   FP7 PPP Funding Scheme
Courses
Publications                       Looking for Partners
Further

References




                           The R User Conference 2011                      33/37
6σ Quality Using R        Further Projects
     Emilio Lopez         Platform

Six Sigma
Methodology
Introduction
                           Open Platform for Quality
Roles
Tools                      Methodologies
Six Sigma with R
Six Sigma Software
R Advantages
                                   Improving the European Factory (link)
R Packages for SixSigma

Spreading 6σ & R
                                   FP7 PPP Funding Scheme
Courses
Publications                       Looking for Partners
Further

References
                           Other Projects
                           We are available for other projects that need
                           partners in this area


                           The R User Conference 2011                      33/37
6σ Quality Using R        Summary
     Emilio Lopez


Six Sigma                         Six Sigma is a breakthrough strategy for
Methodology
Introduction                      improvement.
Roles
Tools

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                          The R User Conference 2011                    34/37
6σ Quality Using R        Summary
     Emilio Lopez


Six Sigma                         Six Sigma is a breakthrough strategy for
Methodology
Introduction                      improvement.
Roles
Tools
                                  R is becoming a real alternative to
Six Sigma with R
Six Sigma Software
R Advantages
                                  commercial software inside Companies.
R Packages for SixSigma

Spreading 6σ & R
Courses
Publications
Further

References




                          The R User Conference 2011                    34/37
6σ Quality Using R        Summary
     Emilio Lopez


Six Sigma                         Six Sigma is a breakthrough strategy for
Methodology
Introduction                      improvement.
Roles
Tools
                                  R is becoming a real alternative to
Six Sigma with R
Six Sigma Software
R Advantages
                                  commercial software inside Companies.
R Packages for SixSigma

Spreading 6σ & R
                                  The combination of both strategies can
Courses
Publications
                                  improve the competitiveness of the
Further

References
                                  Companies, and open a world of
                                  possibilities to R professionals.




                          The R User Conference 2011                    34/37
6σ Quality Using R        Summary
     Emilio Lopez


Six Sigma                         Six Sigma is a breakthrough strategy for
Methodology
Introduction                      improvement.
Roles
Tools
                                  R is becoming a real alternative to
Six Sigma with R
Six Sigma Software
R Advantages
                                  commercial software inside Companies.
R Packages for SixSigma

Spreading 6σ & R
                                  The combination of both strategies can
Courses
Publications
                                  improve the competitiveness of the
Further

References
                                  Companies, and open a world of
                                  possibilities to R professionals.
                                  Further steps



                          The R User Conference 2011                    34/37
6σ Quality Using R        Summary
     Emilio Lopez


Six Sigma                         Six Sigma is a breakthrough strategy for
Methodology
Introduction                      improvement.
Roles
Tools
                                  R is becoming a real alternative to
Six Sigma with R
Six Sigma Software
R Advantages
                                  commercial software inside Companies.
R Packages for SixSigma

Spreading 6σ & R
                                  The combination of both strategies can
Courses
Publications
                                  improve the competitiveness of the
Further

References
                                  Companies, and open a world of
                                  possibilities to R professionals.
                                  Further steps
                                            SixSigma package development


                          The R User Conference 2011                       34/37
6σ Quality Using R        Summary
     Emilio Lopez


Six Sigma                         Six Sigma is a breakthrough strategy for
Methodology
Introduction                      improvement.
Roles
Tools
                                  R is becoming a real alternative to
Six Sigma with R
Six Sigma Software
R Advantages
                                  commercial software inside Companies.
R Packages for SixSigma

Spreading 6σ & R
                                  The combination of both strategies can
Courses
Publications
                                  improve the competitiveness of the
Further

References
                                  Companies, and open a world of
                                  possibilities to R professionals.
                                  Further steps
                                            SixSigma package development
                                            Publications in preparation

                          The R User Conference 2011                       34/37
6σ Quality Using R        Summary
     Emilio Lopez


Six Sigma                         Six Sigma is a breakthrough strategy for
Methodology
Introduction                      improvement.
Roles
Tools
                                  R is becoming a real alternative to
Six Sigma with R
Six Sigma Software
R Advantages
                                  commercial software inside Companies.
R Packages for SixSigma

Spreading 6σ & R
                                  The combination of both strategies can
Courses
Publications
                                  improve the competitiveness of the
Further

References
                                  Companies, and open a world of
                                  possibilities to R professionals.
                                  Further steps
                                            SixSigma package development
                                            Publications in preparation
                                            Six Sigma platform?
                          The R User Conference 2011                       34/37
6σ Quality Using R        References
     Emilio Lopez
                          George Box. Teaching engineers experimental design with a paper helicopter.
Six Sigma                      Quality Engineering, 4(3):453–459, 1992.
Methodology
Introduction
                          John M. Chambers. Software for data analysis. Programming with R.
Roles                          Statistics and Computing. Springer, 2008.
Tools
                          C. Gygi, N. DeCarlo, and B. Williams. Six sigma for dummies. –For
Six Sigma with R               dummies. Wiley Pub., 2005. ISBN 9780764567988.
Six Sigma Software
R Advantages
                          D.C. Montgomery. Introduction to Statistical Quality Control. Wiley, New
R Packages for SixSigma        York, 5th edition, 2005.
Spreading 6σ & R          Daniela R. Recchia, Emanuel P. Barbosa, and Elias de Jesus Goncalves.
Courses                        IQCC: Improved Quality Control Charts, 2010. URL
Publications
Further
                               http://CRAN.R-project.org/package=IQCC. R package version 0.5.
References
                          Thomas Roth. qualityTools: A Package for Teaching Statistics in Quality
                              Science., 2011. R package version 1.44.
                          Deepayan Sarkar. Lattice: Multivariate Data Visualization with R. Springer,
                              New York, 2008. URL http://lmdvr.r-forge.r-project.org. ISBN
                              978-0-387-75968-5.
                          Luca Scrucca. qcc: an r package for quality control charting and statistical
                               process control. R News, 4/1:11–17, 2004. URL
                               http://CRAN.R-project.org/doc/Rnews/.
                          H. Wickham. ggplot2: elegant graphics for data analysis. Use R! Springer,
                              2009. ISBN 9780387981406.
                          The R User Conference 2011                                               35/37
6σ Quality Using R        Acknowledgements
     Emilio Lopez


Six Sigma
Methodology
Introduction
                          Dept. Statistics & OR URJC
Roles
Tools
                          David Rios, Javier M. Moguerza, Andres Redchuk
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma
                          R people
Spreading 6σ & R          Kurt Hornik, Heather Turner, Rob J Hyndman, Diane
Courses
Publications              Cook, R Core Team
Further

References

                          Springer
                          Marc Strauss. Springer
                          This work has been partially funded by VRTUOSI project, www.vrtuosi.org,
                          within the Virtual Campus methodological framework of the EU Lifelong
                          Learning Programme (LLP, code 502869-LLP-1-2009-ES-ERASMUS-EVC)


                          The R User Conference 2011                                         36/37
6σ Quality Using R        Discussion
     Emilio Lopez


Six Sigma
Methodology
Introduction
Roles
Tools                                   Thanks for your
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for SixSigma
                                          attention !
Spreading 6σ & R
Courses
Publications
Further

References
                                                       Any question?


                                                   emilio.lopez@urjc.es

                          The R User Conference 2011                      37/37

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Six Sigma Quality Using R: Tools and Training

  • 1. 6σ Quality Using R Emilio Lopez Six Sigma Methodology Introduction Six Sigma Quality Using R Roles Tools Tools and Training Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Emilio Lopez, Andres Redchuk and Courses Publications Javier M. Moguerza Further References Department of Statistics and Operations Research Rey Juan Carlos University (Madrid) The University of Warwick, August 2011 The R User Conference 2011 1/37
  • 2. 6σ Quality Using R Outline Emilio Lopez Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Roles Tools Roles Six Sigma with R Six Sigma Software Tools R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 2/37
  • 3. 6σ Quality Using R Outline Emilio Lopez Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Roles Tools Roles Six Sigma with R Six Sigma Software Tools R Advantages R Packages for SixSigma 2 Six Sigma with R Spreading 6σ & R Courses Six Sigma Software Publications Further R Advantages References R Packages for SixSigma The R User Conference 2011 2/37
  • 4. 6σ Quality Using R Outline Emilio Lopez Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Roles Tools Roles Six Sigma with R Six Sigma Software Tools R Advantages R Packages for SixSigma 2 Six Sigma with R Spreading 6σ & R Courses Six Sigma Software Publications Further R Advantages References R Packages for SixSigma 3 Spreading 6σ & R thinking Courses Publications Further The R User Conference 2011 2/37
  • 5. 6σ Quality Using R Outline Emilio Lopez Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Roles Tools Roles Six Sigma with R Six Sigma Software Tools R Advantages R Packages for SixSigma 2 Six Sigma with R Spreading 6σ & R Courses Six Sigma Software Publications Further R Advantages References R Packages for SixSigma 3 Spreading 6σ & R thinking Courses Publications Further The R User Conference 2011 3/37
  • 6. 6σ Quality Using R The Basics Emilio Lopez Quality Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 4/37
  • 7. 6σ Quality Using R The Basics Emilio Lopez Quality Six Sigma Methodology Introduction Roles Tools Classical approach Six Sigma with R The Key Characteristic of a Six Sigma Software R Advantages product/service/process R Packages for SixSigma must be inside the Spreading 6σ & R Courses specification limits Publications Further References The R User Conference 2011 4/37
  • 8. 6σ Quality Using R The Basics Emilio Lopez Quality Six Sigma Methodology Introduction Roles Tools Classical approach Six Sigma with R The Key Characteristic of a Six Sigma Software R Advantages product/service/process R Packages for SixSigma must be inside the Spreading 6σ & R Courses specification limits Publications Further References Six Sigma approach The Key Characteristic approximate the target, with as less variation as possible. The R User Conference 2011 4/37
  • 9. 6σ Quality Using R The Basics Emilio Lopez Quality Six Sigma Methodology Introduction Roles Tools Classical approach Six Sigma with R The Key Characteristic of a Six Sigma Software R Advantages product/service/process R Packages for SixSigma must be inside the Spreading 6σ & R specification limits Cost of Poor Quality Courses Publications LSL T USL Further References Six Sigma approach The Key Characteristic approximate the target, with as less variation as Observed value of the characteristic possible. The R User Conference 2011 4/37
  • 10. 6σ Quality Using R The Basics Emilio Lopez Quality Six Sigma Methodology Introduction Roles Tools Classical approach Six Sigma with R The Key Characteristic of a Six Sigma Software R Advantages product/service/process R Packages for SixSigma must be inside the Spreading 6σ & R specification limits Cost of Poor Quality Courses Publications LSL T USL Further References Six Sigma approach The Key Characteristic approximate the target, with as less variation as Observed value of the characteristic possible. The R User Conference 2011 4/37
  • 11. 6σ Quality Using R The Basics Emilio Lopez Quality Six Sigma Methodology Introduction Roles Tools Classical approach Six Sigma with R The Key Characteristic of a Six Sigma Software R Advantages product/service/process R Packages for SixSigma must be inside the Spreading 6σ & R specification limits Cost of Poor Quality Courses Publications LSL T USL Further References Six Sigma approach The Key Characteristic approximate the target, with as less variation as Observed value of the characteristic possible. The R User Conference 2011 4/37
  • 12. 6σ Quality Using R The Basics Emilio Lopez Example Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References Figure: Paper Helicopter Design Box [1992] The R User Conference 2011 5/37
  • 13. 6σ Quality Using R The Basics Emilio Lopez DMAIC Strategy Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 6/37
  • 14. 6σ Quality Using R The Basics Emilio Lopez DMAIC Strategy Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 7/37
  • 15. 6σ Quality Using R The Basics Emilio Lopez DMAIC Strategy Six Sigma Methodology Introduction Define Roles Tools State problem, objectives, prioritize, and launch project Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 7/37
  • 16. 6σ Quality Using R The Basics Emilio Lopez DMAIC Strategy Six Sigma Methodology Introduction Define Roles Tools State problem, objectives, prioritize, and launch project Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Measure Spreading 6σ & R Understand the Courses Publications Process, validate Further data accuracy, References determine process capability The R User Conference 2011 7/37
  • 17. 6σ Quality Using R The Basics Emilio Lopez DMAIC Strategy Six Sigma Methodology Introduction Define Roles Tools State problem, objectives, prioritize, and launch project Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Measure Analyze Spreading 6σ & R Understand the Determine the Courses Publications Process, validate relationship Further data accuracy, between the Y’s References determine process and the X’s and capability look for causes. The R User Conference 2011 7/37
  • 18. 6σ Quality Using R The Basics Emilio Lopez DMAIC Strategy Six Sigma Methodology Introduction Define Roles Tools State problem, objectives, prioritize, and launch project Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Measure Analyze Improve Spreading 6σ & R Understand the Determine the Determine Courses Publications Process, validate relationship solutions to Further data accuracy, between the Y’s achieve the References determine process and the X’s and objective, and capability look for causes. implement. The R User Conference 2011 7/37
  • 19. 6σ Quality Using R The Basics Emilio Lopez DMAIC Strategy Six Sigma Methodology Introduction Define Roles Tools State problem, objectives, prioritize, and launch project Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Measure Analyze Improve Spreading 6σ & R Understand the Determine the Determine Courses Publications Process, validate relationship solutions to Further data accuracy, between the Y’s achieve the References determine process and the X’s and objective, and capability look for causes. implement. Control Process control, monitoring and auto-controlling methods The R User Conference 2011 7/37
  • 20. 6σ Quality Using R Roles in Six Sigma Emilio Lopez Description Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software In Six Sigma, everyone in the organization has R Advantages R Packages for SixSigma a role in the project. Six Sigma methodology Spreading 6σ & R uses an intuitive categorization of these roles. Courses Publications Further References The R User Conference 2011 8/37
  • 21. 6σ Quality Using R Roles in Six Sigma Emilio Lopez Description Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software In Six Sigma, everyone in the organization has R Advantages R Packages for SixSigma a role in the project. Six Sigma methodology Spreading 6σ & R uses an intuitive categorization of these roles. Courses Publications Further References The R User Conference 2011 8/37
  • 22. 6σ Quality Using R Roles for Six Sigma Emilio Lopez Diagram Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 9/37
  • 23. 6σ Quality Using R Tools Emilio Lopez For Every DMAIC Phase Six Sigma Methodology Introduction Any Statistical, planning or management tool Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 10/37
  • 24. 6σ Quality Using R Tools Emilio Lopez For Every DMAIC Phase Six Sigma Methodology Introduction Any Statistical, planning or management tool Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 10/37
  • 25. 6σ Quality Using R Outline Emilio Lopez Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Roles Tools Roles Six Sigma with R Six Sigma Software Tools R Advantages R Packages for SixSigma 2 Six Sigma with R Spreading 6σ & R Courses Six Sigma Software Publications Further R Advantages References R Packages for SixSigma 3 Spreading 6σ & R thinking Courses Publications Further The R User Conference 2011 11/37
  • 26. 6σ Quality Using R Commercial Software Emilio Lopez State-of-the-art Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 12/37
  • 27. 6σ Quality Using R Commercial Software Emilio Lopez State-of-the-art Six Sigma Methodology Introduction Roles Tools Programs Six Sigma with R Six Sigma Software R Advantages Minitab R Packages for SixSigma Spreading 6σ & R SPSS Courses Publications StatGraphics Further References JMP & SAS Any statistical software, or even spreadsheets The R User Conference 2011 12/37
  • 28. 6σ Quality Using R Commercial Software Emilio Lopez Trends Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 13/37
  • 29. 6σ Quality Using R Commercial Software Emilio Lopez Trends Six Sigma Methodology Introduction Roles Tools Internet Six Sigma with R Six Sigma Software Software as a R Advantages R Packages for SixSigma Service Spreading 6σ & R Courses Web Publications Further Applications References Everywhere Every display The R User Conference 2011 13/37
  • 30. 6σ Quality Using R Commercial Software Emilio Lopez Trends Six Sigma Methodology Introduction Roles Tools Internet Open Six Sigma with R Six Sigma Software Software as a Technologies R Advantages R Packages for SixSigma Service Linux Spreading 6σ & R Courses Web OpenOffice Publications Further Applications References R Everywhere ... Every display The R User Conference 2011 13/37
  • 31. 6σ Quality Using R R Advantages Emilio Lopez Customization + Innovation = Competitiveness Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 14/37
  • 32. 6σ Quality Using R R Advantages Emilio Lopez Customization + Innovation = Competitiveness Six Sigma Methodology Introduction Customization Roles Tools A company can develop a package that fits its Six Sigma with R inner procedures and methods. Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 14/37
  • 33. 6σ Quality Using R R Advantages Emilio Lopez Customization + Innovation = Competitiveness Six Sigma Methodology Introduction Customization Roles Tools A company can develop a package that fits its Six Sigma with R inner procedures and methods. Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Innovation Courses Publications A company can develop and deploy an Further References innovative method from its R&D department, or from the result of other published researches. The R User Conference 2011 14/37
  • 34. 6σ Quality Using R Other Authors Emilio Lopez Packages Six Sigma Methodology Introduction qcc 2.01 (Scrucca [2004]) Roles Tools Shewhart quality control charts for continuous, Six Sigma with R Six Sigma Software attribute and count data [. . . ] R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 15/37
  • 35. 6σ Quality Using R Other Authors Emilio Lopez Packages Six Sigma Methodology Introduction qcc 2.01 (Scrucca [2004]) Roles Tools Shewhart quality control charts for continuous, Six Sigma with R Six Sigma Software attribute and count data [. . . ] R Advantages R Packages for SixSigma Spreading 6σ & R Courses IQCC 0.5 (Recchia et al. [2010]) Publications Further Builds statistical control charts with exact limits for References univariate and multivariate cases. The R User Conference 2011 15/37
  • 36. 6σ Quality Using R Other Authors Emilio Lopez Packages Six Sigma Methodology Introduction qcc 2.01 (Scrucca [2004]) Roles Tools Shewhart quality control charts for continuous, Six Sigma with R Six Sigma Software attribute and count data [. . . ] R Advantages R Packages for SixSigma Spreading 6σ & R Courses IQCC 0.5 (Recchia et al. [2010]) Publications Further Builds statistical control charts with exact limits for References univariate and multivariate cases. qualityTools 1.47 (Roth [2011]) This is a package for teaching statistical methods in the field of Quality Science [. . . ] The focus is on teaching [. . . ] The R User Conference 2011 15/37
  • 37. 6σ Quality Using R SixSigma package Emilio Lopez Focused in SixSigma Practitioners Six Sigma Methodology Introduction Roles Tools Six Sigma with R Version History Functions Six Sigma Software ss.pMap R Advantages 1 0.2.0 March 2011 R Packages for SixSigma ss.ceDiag Spreading 6σ & R 2 0.2.1 April 2011 ss.rr Courses Publications ss.ci Further 3 0.3.0 July 2011 ss.study.ca References (current) ss.ca.yield ss.ca.z Data ss.ca.cp ss.data.rr ss.ca.cpk ss.data.ca ss.heli The R User Conference 2011 16/37
  • 38. 6σ Quality Using R Helicopter Emilio Lopez Training Stuff Six Sigma Methodology Introduction Roles Tools Template in pdf format to build paper Six Sigma with R Six Sigma Software helicopter prototypes (Box [1992]) R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References > ss.heli() null device 1 > #vignette("HelicopterInstructions") for instructions The R User Conference 2011 17/37
  • 39. Six Sigma with R | Paper Helicopter template max (9.5cm) std (8cm) min (6.5cm) ← wings length → cut ? pe fold ↑ fold ↓ ta cut cut cut ← body length → tape? tape? min (6.5cm) std fold ↓ ↓ fold ↑ ↑ (8cm) clip? max max min ← body width → min max (9.5cm) (6cm) (4cm) (4cm) (6cm)
  • 40. 6σ Quality Using R Diagrams Emilio Lopez SixSigma Package Six Sigma Methodology Cause-and-effect Diagram Introduction Roles Tools Six Sigma with R Six Sigma Software > example(ss.ceDiag) R Advantages R Packages for SixSigma ss.cDg> #Data Spreading 6σ & R ss.cDg> effect<-"Flight Time" Courses ss.cDg> causes.gr<-c("Operator", "Environment", "Tools", "Design", Publications ss.cDg+ "Raw.Material","Measure.Tool") Further ss.cDg> causes<-vector(mode="list", length=length(causes.gr)) References ss.cDg> causes[1]<-list(c("operator #1", "operator #2", "operator #3 ss.cDg> causes[2]<-list(c("height", "cleaning")) ss.cDg> causes[3]<-list(c("scissors", "tape")) ss.cDg> causes[4]<-list(c("rotor.length", "rotor.width2", "paperclip ss.cDg> causes[5]<-list(c("thickness", "marks")) ss.cDg> causes[6]<-list(c("calibrate", "model")) ss.cDg> ss.ceDiag(effect, causes.gr, causes, sub="Paper Helicopter P The R User Conference 2011 19/37
  • 41. 6σ Quality Using R Cause-and-Effect Diagram Emilio Lopez SixSigma Package Six Sigma Methodology Introduction Six Sigma Cause−and−effect Diagram Roles Tools Six Sigma with R Six Sigma Software Operator Environment Tools R Advantages operator #1 height scissors operator #2 cleaning tape R Packages for SixSigma operator #3 Spreading 6σ & R Courses Publications Further Flight Time References paperclip model marks rotor.width2 calibrate thickness rotor.length Measure.Tool Raw.Material Design Paper Helicopter Project The R User Conference 2011 20/37
  • 42. 6σ Quality Using R Diagrams Emilio Lopez SixSigma Package Six Sigma Methodology Process Map Introduction Roles Tools > example(ss.pMap) Six Sigma with R ss.pMp> inputs.overall<-c("operators", "tools", "raw material", "fac Six Sigma Software R Advantages ss.pMp> outputs.overall<-c("helicopter") R Packages for SixSigma ss.pMp> procs<-c("INSPECTION", "ASSEMBLY", "TEST", "LABELING") Spreading 6σ & R ss.pMp> input.output<-vector(mode="list",length=length(procs)) Courses ss.pMp> input.output[1]<-list(c("sheets", "...")) Publications . . . Further ss.pMp> x.parameters<-vector(mode="list",length=length(procs)) References ss.pMp> x.parameters[1]<-list(c(list(c("width", "NC")),list(c("opera ss.pMp+ list(c("Measure pattern", "P")), list(c("discard", "P")))) . . . ss.pMp> y.features<-vector(mode="list",length=length(procs)) ss.pMp> y.features[1]<-list(c(list(c("ok", "Cr")))) . . . ss.pMp> ss.pMap(procs, inputs.overall, outputs.overall, ss.pMp+ input.output, x.parameters, y.features, ss.pMp+ sub="Paper Helicopter Project") The R User Conference 2011 21/37
  • 43. 6σ Quality Using R Process Map Diagram Emilio Lopez SixSigma Package Six Sigma Methodology Introduction Six Sigma Process Map Roles Tools operators INPUTS tools Six Sigma with R X raw material Six Sigma Software facilities R Advantages R Packages for SixSigma INSPECTION ASSEMBLY TEST LABELING sheets sheets helicopter helicopter Spreading 6σ & R ... INPUTS INPUTS INPUTS INPUTS Courses Publications Further Param.(x): width NC Param.(x): operator C Param.(x): operator C Param.(x): operator C References operator C cut P throw P label P Measure pattern P fix P discard P Featur.(y): label discard P rotor.width C environment N Featur.(y): ok rotor.length C Featur.(y): time paperclip C tape C Featur.(y): weight LEGEND helicopter (C)ontrollable OUTPUTS (Cr)itical (N)oise Y (P)rocedure Paper Helicopter Project The R User Conference 2011 22/37
  • 44. 6σ Quality Using R Gage R&R Study Emilio Lopez Measurement System Analysis Six Sigma Methodology Introduction > #... Some theme instructions Roles > ss.rr(time1, prototype, operator, Tools + data=ss.data.rr, sub="Helicopter Project") Six Sigma with R Six Sigma Software Analysis of Variance Table R Advantages R Packages for SixSigma Response: var Spreading 6σ & R Df Sum Sq Mean Sq F value Pr(>F) Courses part 2 1.20072 0.60036 28.0396 2.952e-06 Publications appr 2 0.05294 0.02647 1.2363 0.3140 Further part:appr 4 0.08339 0.02085 0.9737 0.4462 References Repeatability 18 0.38540 0.02141 VarComp %Contrib Total Gage R&R 0.0220358 25.50 Repeatability 0.0214111 24.77 Reproducibility 0.0006247 0.72 appr 0.0006247 0.72 part:appr 0.0000000 0.00 Part-To-Part 0.0643901 74.50 Total Variation 0.0864259 100.00 . . . The R User Conference 2011 23/37
  • 45. Six Sigma Gage R&R Study Components of Variation Var by Part 1.8 q 80 q q q q 1.6 60 q q Percent 1.4 var 40 q q q q q q 1.2 20 q q q q q 1.0 q 0 q G.R&R Repeat Reprod Part2Part prot #1 prot #2 prot #3 %Contribution %Study Var R Chart by appraiser Var by appraiser prot #1 prot #2 prot #3 1.8 q q op #1 op #2 op #3 q 0.5 q q q q q 1.6 0.4 q q q q 1.4 var 0.3 q var q q q q q q q q 0.2 1.2 q q q q q q q q 0.1 q q 1.0 q q prot #1 prot #2 prot #3 prot #1 prot #2 prot #3 op #1 op #2 op #3 part x Chart by appraiser Part*appraiser Interaction prot #1 prot #2 prot #3 1.7 q op #1 op #2 op #3 1.7 q 1.6 q 1.6 q q 1.5 var 1.5 1.4 var 1.4 q 1.3 q q 1.3 q 1.2 1.2 q q q 1.1 q q 1.1 q q prot #1 prot #2 prot #3 prot #1 prot #2 prot #3 prot #1 prot #2 prot #3 op #1 op #3 part op #2 Helicopter Project
  • 46. 6σ Quality Using R Capability Analysis Emilio Lopez Six Sigma Methodology Introduction Roles Tools Six Sigma with R > ss.ca.yield(c(3, 5, 12), c(1, 2, 4), 1915) Six Sigma Software R Advantages Yield FTY RTY DPU DPMO R Packages for SixSigma 1 0.9895561 0.9859008 0.9859563 20 10443.86 Spreading 6σ & R Courses > ss.ca.cpk(ss.data.ca$Volume, 740, 760) Publications Further [1] 1.546513 References > ss.study.ca(ss.data.ca$Volume, rnorm(40, 753, 3), LSL = 740, + USL = 760, T = 750, alpha = 0.5, f.sub = "Winery Project") The R User Conference 2011 25/37
  • 47. Six Sigma Capability Analysis Study Histogram & Density Density Lines Legend Target Density ST Theoretical Dens. ST Density LT Theoretical Density LT LSL USL Specifications LSL: 740 Target: 750 USL: 760 Short Term Process Long Term 740 745 750 755 760 Mean: 749.7625 Mean: 752.8443 Check Normality SD: 2.1042 SD: 2.9577 n: 20 n: 40 Shapiro−Wilk Test Zs: 3.14 Zs: 2.42 q p−value: 0.07506 DPMO: q Short Term Indices Long Term qq q qq Lilliefors (K−S) Test Cp: 1.5841 Pp: 1.1270 qq qq qq q p−value: 0.2291 CI: [1.1,2.1] CI: [0.9,1.4] qq qq q q Cpk: 1.5465 Ppk: 0.8065 CI: [1.1,2.1] CI: [0.9,1.4] Normality accepted when p−value > 0.05 Winery Project
  • 48. 6σ Quality Using R Further Development Emilio Lopez On the Way Six Sigma Methodology Introduction Roles Tools Functions for a wide range of tools along Six Sigma with R Six Sigma Software all the DMAIC phases. R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 27/37
  • 49. 6σ Quality Using R Further Development Emilio Lopez On the Way Six Sigma Methodology Introduction Roles Tools Functions for a wide range of tools along Six Sigma with R Six Sigma Software all the DMAIC phases. R Advantages R Packages for SixSigma Improved graphics Spreading 6σ & R Courses Publications Further References The R User Conference 2011 27/37
  • 50. 6σ Quality Using R Further Development Emilio Lopez On the Way Six Sigma Methodology Introduction Roles Tools Functions for a wide range of tools along Six Sigma with R Six Sigma Software all the DMAIC phases. R Advantages R Packages for SixSigma Improved graphics Spreading 6σ & R Courses Publications Tackle Further methodologies (DFSS, Further Lean, . . . ) References The R User Conference 2011 27/37
  • 51. 6σ Quality Using R Further Development Emilio Lopez On the Way Six Sigma Methodology Introduction Roles Tools Functions for a wide range of tools along Six Sigma with R Six Sigma Software all the DMAIC phases. R Advantages R Packages for SixSigma Improved graphics Spreading 6σ & R Courses Publications Tackle Further methodologies (DFSS, Further Lean, . . . ) References Non-normal / Non-linear methods The R User Conference 2011 27/37
  • 52. 6σ Quality Using R Further Development Emilio Lopez On the Way Six Sigma Methodology Introduction Roles Tools Functions for a wide range of tools along Six Sigma with R Six Sigma Software all the DMAIC phases. R Advantages R Packages for SixSigma Improved graphics Spreading 6σ & R Courses Publications Tackle Further methodologies (DFSS, Further Lean, . . . ) References Non-normal / Non-linear methods Bayesian perspective The R User Conference 2011 27/37
  • 53. 6σ Quality Using R Further Development Emilio Lopez On the Way Six Sigma Methodology Introduction Roles Tools Functions for a wide range of tools along Six Sigma with R Six Sigma Software all the DMAIC phases. R Advantages R Packages for SixSigma Improved graphics Spreading 6σ & R Courses Publications Tackle Further methodologies (DFSS, Further Lean, . . . ) References Non-normal / Non-linear methods Bayesian perspective Maybe a GUI The R User Conference 2011 27/37
  • 54. 6σ Quality Using R Outline Emilio Lopez Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Roles Tools Roles Six Sigma with R Six Sigma Software Tools R Advantages R Packages for SixSigma 2 Six Sigma with R Spreading 6σ & R Courses Six Sigma Software Publications Further R Advantages References R Packages for SixSigma 3 Spreading 6σ & R thinking Courses Publications Further The R User Conference 2011 28/37
  • 55. 6σ Quality Using R VRTUOSI project Emilio Lopez European Lifelong Learning Programme Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References www.vrtuosi.com The R User Conference 2011 29/37
  • 56. 6σ Quality Using R VRTUOSI project Emilio Lopez European Lifelong Learning Programme Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References www.vrtuosi.com Code Project: LLP 502869-LLP-1-2009-ES-ERASMUS-EVC The R User Conference 2011 29/37
  • 57. 6σ Quality Using R VRTUOSI project Emilio Lopez European Lifelong Learning Programme Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References www.vrtuosi.com Code Project: LLP 502869-LLP-1-2009-ES-ERASMUS-EVC One of the Courses: Quality Control: Six Sigma The R User Conference 2011 29/37
  • 58. 6σ Quality Using R VRTUOSI project Emilio Lopez European Lifelong Learning Programme Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References www.vrtuosi.com Code Project: LLP 502869-LLP-1-2009-ES-ERASMUS-EVC One of the Courses: Quality Control: Six Sigma Developed and carried out through the Six Sigma methodology. The R User Conference 2011 29/37
  • 59.
  • 60. 6σ Quality Using R Master On Line Emilio Lopez Master in Decision Systems Engineering Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further Rey Juan Carlos University (www.urjc.es) References The R User Conference 2011 31/37
  • 61. 6σ Quality Using R Master On Line Emilio Lopez Master in Decision Systems Engineering Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further Rey Juan Carlos University (www.urjc.es) References First master in Business Analytics in Spain The R User Conference 2011 31/37
  • 62. 6σ Quality Using R Master On Line Emilio Lopez Master in Decision Systems Engineering Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further Rey Juan Carlos University (www.urjc.es) References First master in Business Analytics in Spain Unique Certificate in e-learning The R User Conference 2011 31/37
  • 63. 6σ Quality Using R Master On Line Emilio Lopez Master in Decision Systems Engineering Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further Rey Juan Carlos University (www.urjc.es) References First master in Business Analytics in Spain Unique Certificate in e-learning Mention of Quality in ANECA The R User Conference 2011 31/37
  • 64. 6σ Quality Using R Master On Line Emilio Lopez Master in Decision Systems Engineering Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further Rey Juan Carlos University (www.urjc.es) References First master in Business Analytics in Spain Unique Certificate in e-learning Mention of Quality in ANECA Six Sigma Quality subject. R used in most of the subjects. The R User Conference 2011 31/37
  • 65. 6σ Quality Using R Book Emilio Lopez Springer Use R! Series Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 32/37
  • 66. 6σ Quality Using R Book Emilio Lopez Springer Use R! Series Six Sigma Methodology Introduction Roles Features Tools Six Sigma with R Title: Six Sigma Software R Advantages Six Sigma with R R Packages for SixSigma Spreading 6σ & R Due 2012 Courses Publications Further 350 pages approx. References Wide background scope Examples, a Case Study and practices The R User Conference 2011 32/37
  • 67. 6σ Quality Using R Further Projects Emilio Lopez Platform Six Sigma Methodology Introduction Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 33/37
  • 68. 6σ Quality Using R Further Projects Emilio Lopez Platform Six Sigma Methodology Introduction Open Platform for Quality Roles Tools Methodologies Six Sigma with R Six Sigma Software R Advantages Improving the European Factory (link) R Packages for SixSigma Spreading 6σ & R FP7 PPP Funding Scheme Courses Publications Looking for Partners Further References The R User Conference 2011 33/37
  • 69. 6σ Quality Using R Further Projects Emilio Lopez Platform Six Sigma Methodology Introduction Open Platform for Quality Roles Tools Methodologies Six Sigma with R Six Sigma Software R Advantages Improving the European Factory (link) R Packages for SixSigma Spreading 6σ & R FP7 PPP Funding Scheme Courses Publications Looking for Partners Further References Other Projects We are available for other projects that need partners in this area The R User Conference 2011 33/37
  • 70. 6σ Quality Using R Summary Emilio Lopez Six Sigma Six Sigma is a breakthrough strategy for Methodology Introduction improvement. Roles Tools Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 34/37
  • 71. 6σ Quality Using R Summary Emilio Lopez Six Sigma Six Sigma is a breakthrough strategy for Methodology Introduction improvement. Roles Tools R is becoming a real alternative to Six Sigma with R Six Sigma Software R Advantages commercial software inside Companies. R Packages for SixSigma Spreading 6σ & R Courses Publications Further References The R User Conference 2011 34/37
  • 72. 6σ Quality Using R Summary Emilio Lopez Six Sigma Six Sigma is a breakthrough strategy for Methodology Introduction improvement. Roles Tools R is becoming a real alternative to Six Sigma with R Six Sigma Software R Advantages commercial software inside Companies. R Packages for SixSigma Spreading 6σ & R The combination of both strategies can Courses Publications improve the competitiveness of the Further References Companies, and open a world of possibilities to R professionals. The R User Conference 2011 34/37
  • 73. 6σ Quality Using R Summary Emilio Lopez Six Sigma Six Sigma is a breakthrough strategy for Methodology Introduction improvement. Roles Tools R is becoming a real alternative to Six Sigma with R Six Sigma Software R Advantages commercial software inside Companies. R Packages for SixSigma Spreading 6σ & R The combination of both strategies can Courses Publications improve the competitiveness of the Further References Companies, and open a world of possibilities to R professionals. Further steps The R User Conference 2011 34/37
  • 74. 6σ Quality Using R Summary Emilio Lopez Six Sigma Six Sigma is a breakthrough strategy for Methodology Introduction improvement. Roles Tools R is becoming a real alternative to Six Sigma with R Six Sigma Software R Advantages commercial software inside Companies. R Packages for SixSigma Spreading 6σ & R The combination of both strategies can Courses Publications improve the competitiveness of the Further References Companies, and open a world of possibilities to R professionals. Further steps SixSigma package development The R User Conference 2011 34/37
  • 75. 6σ Quality Using R Summary Emilio Lopez Six Sigma Six Sigma is a breakthrough strategy for Methodology Introduction improvement. Roles Tools R is becoming a real alternative to Six Sigma with R Six Sigma Software R Advantages commercial software inside Companies. R Packages for SixSigma Spreading 6σ & R The combination of both strategies can Courses Publications improve the competitiveness of the Further References Companies, and open a world of possibilities to R professionals. Further steps SixSigma package development Publications in preparation The R User Conference 2011 34/37
  • 76. 6σ Quality Using R Summary Emilio Lopez Six Sigma Six Sigma is a breakthrough strategy for Methodology Introduction improvement. Roles Tools R is becoming a real alternative to Six Sigma with R Six Sigma Software R Advantages commercial software inside Companies. R Packages for SixSigma Spreading 6σ & R The combination of both strategies can Courses Publications improve the competitiveness of the Further References Companies, and open a world of possibilities to R professionals. Further steps SixSigma package development Publications in preparation Six Sigma platform? The R User Conference 2011 34/37
  • 77. 6σ Quality Using R References Emilio Lopez George Box. Teaching engineers experimental design with a paper helicopter. Six Sigma Quality Engineering, 4(3):453–459, 1992. Methodology Introduction John M. Chambers. Software for data analysis. Programming with R. Roles Statistics and Computing. Springer, 2008. Tools C. Gygi, N. DeCarlo, and B. Williams. Six sigma for dummies. –For Six Sigma with R dummies. Wiley Pub., 2005. ISBN 9780764567988. Six Sigma Software R Advantages D.C. Montgomery. Introduction to Statistical Quality Control. Wiley, New R Packages for SixSigma York, 5th edition, 2005. Spreading 6σ & R Daniela R. Recchia, Emanuel P. Barbosa, and Elias de Jesus Goncalves. Courses IQCC: Improved Quality Control Charts, 2010. URL Publications Further http://CRAN.R-project.org/package=IQCC. R package version 0.5. References Thomas Roth. qualityTools: A Package for Teaching Statistics in Quality Science., 2011. R package version 1.44. Deepayan Sarkar. Lattice: Multivariate Data Visualization with R. Springer, New York, 2008. URL http://lmdvr.r-forge.r-project.org. ISBN 978-0-387-75968-5. Luca Scrucca. qcc: an r package for quality control charting and statistical process control. R News, 4/1:11–17, 2004. URL http://CRAN.R-project.org/doc/Rnews/. H. Wickham. ggplot2: elegant graphics for data analysis. Use R! Springer, 2009. ISBN 9780387981406. The R User Conference 2011 35/37
  • 78. 6σ Quality Using R Acknowledgements Emilio Lopez Six Sigma Methodology Introduction Dept. Statistics & OR URJC Roles Tools David Rios, Javier M. Moguerza, Andres Redchuk Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma R people Spreading 6σ & R Kurt Hornik, Heather Turner, Rob J Hyndman, Diane Courses Publications Cook, R Core Team Further References Springer Marc Strauss. Springer This work has been partially funded by VRTUOSI project, www.vrtuosi.org, within the Virtual Campus methodological framework of the EU Lifelong Learning Programme (LLP, code 502869-LLP-1-2009-ES-ERASMUS-EVC) The R User Conference 2011 36/37
  • 79. 6σ Quality Using R Discussion Emilio Lopez Six Sigma Methodology Introduction Roles Tools Thanks for your Six Sigma with R Six Sigma Software R Advantages R Packages for SixSigma attention ! Spreading 6σ & R Courses Publications Further References Any question? emilio.lopez@urjc.es The R User Conference 2011 37/37