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Teaching 6σ Using R

     09/02/2011


 Emilio L. Cano                   Teaching Six Sigma Quality
Six Sigma
Methodology
Introduction
                                            with R
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for Six Sigma        Emilio L. Cano, Javier M. Moguerza and
Teaching Resources
The Book
                                            Andres Redchuk
The package
Assessment Tools
                                           Department of Statistics and Operations Research
                                                 University Rey Juan Carlos (Madrid)


                             ´
                             Obuda University, Budapest, February 2012




                           1st International Workshop on Teaching Decision Sciences and Technologies   1/33
Teaching 6σ Using R

     09/02/2011
                           Outline
 Emilio L. Cano

Six Sigma
                           1    Six Sigma Methodology
Methodology
Introduction                       Introduction
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for Six Sigma

Teaching Resources
The Book
The package
Assessment Tools




                           1st International Workshop on Teaching Decision Sciences and Technologies   2/33
Teaching 6σ Using R

     09/02/2011
                           Outline
 Emilio L. Cano

Six Sigma
                           1    Six Sigma Methodology
Methodology
Introduction                       Introduction
Six Sigma with R
Six Sigma Software
R Advantages
                           2    Six Sigma with R
R Packages for Six Sigma

Teaching Resources
                                   Six Sigma Software
The Book
The package                        R Advantages
Assessment Tools
                                   R Packages for Six Sigma




                           1st International Workshop on Teaching Decision Sciences and Technologies   2/33
Teaching 6σ Using R

     09/02/2011
                           Outline
 Emilio L. Cano

Six Sigma
                           1    Six Sigma Methodology
Methodology
Introduction                       Introduction
Six Sigma with R
Six Sigma Software
R Advantages
                           2    Six Sigma with R
R Packages for Six Sigma

Teaching Resources
                                   Six Sigma Software
The Book
The package                        R Advantages
Assessment Tools
                                   R Packages for Six Sigma
                           3    Teaching Resources
                                  The Book
                                  The package
                                  Assessment Tools

                           1st International Workshop on Teaching Decision Sciences and Technologies   2/33
Teaching 6σ Using R

     09/02/2011
                           Outline
 Emilio L. Cano

Six Sigma
                           1    Six Sigma Methodology
Methodology
Introduction                       Introduction
Six Sigma with R
Six Sigma Software
R Advantages
                           2    Six Sigma with R
R Packages for Six Sigma

Teaching Resources
                                   Six Sigma Software
The Book
The package                        R Advantages
Assessment Tools
                                   R Packages for Six Sigma
                           3    Teaching Resources
                                  The Book
                                  The package
                                  Assessment Tools

                           1st International Workshop on Teaching Decision Sciences and Technologies   3/33
Teaching 6σ Using R

     09/02/2011
                           The Basics
                           Quality
 Emilio L. Cano

Six Sigma
Methodology
Introduction               Classical approach
Six Sigma with R
Six Sigma Software         The Key Characteristic of a
R Advantages
R Packages for Six Sigma   product/service/process
Teaching Resources         must be inside the
The Book
                           specification limits




                                                                              Cost of Poor Quality
The package
Assessment Tools
                                                                                                     LSL                     T                    USL




                                                                                                           Observed value of the characteristic




                            1st International Workshop on Teaching Decision Sciences and Technologies                                               4/33
Teaching 6σ Using R

     09/02/2011
                           The Basics
                           Quality
 Emilio L. Cano

Six Sigma
Methodology
Introduction               Classical approach
Six Sigma with R
Six Sigma Software         The Key Characteristic of a
R Advantages
R Packages for Six Sigma   product/service/process
Teaching Resources         must be inside the
The Book
                           specification limits




                                                                              Cost of Poor Quality
The package
Assessment Tools
                                                                                                     LSL                     T                    USL



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



                           possible.

                            1st International Workshop on Teaching Decision Sciences and Technologies                                               4/33
Teaching 6σ Using R

     09/02/2011
                           The Basics
                           Quality
 Emilio L. Cano

Six Sigma
Methodology
Introduction               Classical approach
Six Sigma with R
Six Sigma Software         The Key Characteristic of a
R Advantages
R Packages for Six Sigma   product/service/process
Teaching Resources         must be inside the
The Book
                           specification limits




                                                                              Cost of Poor Quality
The package
Assessment Tools
                                                                                                     LSL                     T                    USL



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



                           possible.

                            1st International Workshop on Teaching Decision Sciences and Technologies                                               4/33
Teaching 6σ Using R

     09/02/2011
                           Why 6 and why Sigma
                           The Basics
 Emilio L. Cano

Six Sigma
                                  Sigma refers to the Z-Score of the process:
Methodology
Introduction                                                  (USL − x)             (x − LSL)
Six Sigma with R
                                  Z = min                               ,                                ; ZLT = ZST −1.5.
Six Sigma Software
                                                                 σ                      σ
R Advantages
R Packages for Six Sigma

Teaching Resources
The Book
The package                                      Short Term
                                                 Long Term
Assessment Tools


                                                                                                  > (1-pnorm(4.5))*(10^6)
                           Frequency




                                                                                                  [1] 3.397673




                                                                      1.5σ   4.5σ


                                                                                                                   DPMO
                                                                CTQ


                                       1st International Workshop on Teaching Decision Sciences and Technologies          5/33
Teaching 6σ Using R

     09/02/2011
                           The Scientific Method & Six
 Emilio L. Cano            Sigma
Six Sigma
Methodology
Introduction

Six Sigma with R
                                                DMAIC Cycle               Scientific Method
Six Sigma Software
R Advantages                                                            Ask a question
R Packages for Six Sigma                             Define
Teaching Resources                                                     Do some background
                                                                       research
The Book
The package                                        Measure
Assessment Tools


                                                                       Construct a hypothesis
                                                    Analyze
                                                                        Test the hypothesis
                                                                        with an experiment
                                                   Improve
                                                                       Analyze the data and
                                                                       draw conclusions
                                                    Control
                                                                       Communicate results



                           1st International Workshop on Teaching Decision Sciences and Technologies   6/33
Teaching 6σ Using R

     09/02/2011
                           Outline
 Emilio L. Cano

Six Sigma
                           1    Six Sigma Methodology
Methodology
Introduction                       Introduction
Six Sigma with R
Six Sigma Software
R Advantages
                           2    Six Sigma with R
R Packages for Six Sigma

Teaching Resources
                                   Six Sigma Software
The Book
The package                        R Advantages
Assessment Tools
                                   R Packages for Six Sigma
                           3    Teaching Resources
                                  The Book
                                  The package
                                  Assessment Tools

                           1st International Workshop on Teaching Decision Sciences and Technologies   7/33
Teaching 6σ Using R

     09/02/2011
                           Commercial Software
                           State-of-the-art
 Emilio L. Cano

Six Sigma
Methodology
Introduction

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

Teaching Resources
The Book
The package
Assessment Tools




                            1st International Workshop on Teaching Decision Sciences and Technologies   8/33
Teaching 6σ Using R

     09/02/2011
                           Commercial Software
                           State-of-the-art
 Emilio L. Cano

Six Sigma
Methodology
Introduction

Six Sigma with R                                                    Programs
Six Sigma Software
R Advantages
R Packages for Six Sigma
                                                                              Minitab
Teaching Resources
The Book
                                                                              SPSS
The package
Assessment Tools                                                              StatGraphics
                                                                              JMP & SAS
                                                                              Any statistical
                                                                              software, or even
                                                                              spreadsheets


                            1st International Workshop on Teaching Decision Sciences and Technologies   8/33
Teaching 6σ Using R

     09/02/2011
                           Commercial Software
                           Trends
 Emilio L. Cano

Six Sigma
Methodology
Introduction

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

Teaching Resources
The Book
The package
Assessment Tools




                            1st International Workshop on Teaching Decision Sciences and Technologies   9/33
Teaching 6σ Using R

     09/02/2011
                           Commercial Software
                           Trends
 Emilio L. Cano

Six Sigma
Methodology
Introduction

Six Sigma with R
                             Internet
Six Sigma Software
R Advantages
                                      Software as a
R Packages for Six Sigma

Teaching Resources
                                      Service
The Book
The package                           Web
Assessment Tools

                                      Applications
                                      Everywhere
                                      Every display



                            1st International Workshop on Teaching Decision Sciences and Technologies   9/33
Teaching 6σ Using R

     09/02/2011
                           Commercial Software
                           Trends
 Emilio L. Cano

Six Sigma
Methodology
Introduction

Six Sigma with R
                             Internet                                          Open
Six Sigma Software
R Advantages
                                      Software as a                            Technologies
R Packages for Six Sigma

Teaching Resources
                                      Service                                            Linux
The Book
The package                           Web                                                OpenOffice
Assessment Tools

                                      Applications
                                                                                         R
                                      Everywhere
                                                                                         ...
                                      Every display



                            1st International Workshop on Teaching Decision Sciences and Technologies   9/33
Teaching 6σ Using R

     09/02/2011
                           Introduction
                           R Project
 Emilio L. Cano

Six Sigma
Methodology
                                     A system for statistical computing and
Introduction
                                     graphing
Six Sigma with R
Six Sigma Software
R Advantages
                                     Massively used for academic and research
R Packages for Six Sigma
                                     purposes, important Companies use R:
Teaching Resources
The Book                             Google, Pfizer, . . .
The package
Assessment Tools
                                     Ross Ihaka and Robert Gentleman,
                                     following the work at Bell Laboratories
                                     with the S Language




                            1st International Workshop on Teaching Decision Sciences and Technologies   10/33
Teaching 6σ Using R

     09/02/2011
                           Free Technology
                           R Project
 Emilio L. Cano

Six Sigma
Methodology
Introduction

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

Teaching Resources
                                                                              Open Source
The Book
The package                                                                   Freely available
Assessment Tools


                                                                              Platform independent
                                                                              Huge community
                                                                              giving support



                            1st International Workshop on Teaching Decision Sciences and Technologies   11/33
Teaching 6σ Using R

     09/02/2011
                           Packages
                           R Project
 Emilio L. Cano

Six Sigma
Methodology
Introduction

Six Sigma with R
Six Sigma Software
R Advantages
                                     http://cran.r-project.org
R Packages for Six Sigma

Teaching Resources
                                     3115 Contributed Packages (04/07/2011)
The Book
The package
Assessment Tools
                                     3586 (05/02/2012)
                                     Task views
                                     Manuals
                                     Publications



                            1st International Workshop on Teaching Decision Sciences and Technologies   12/33
Teaching 6σ Using R

     09/02/2011
                           R for Teaching
                           Advantages
 Emilio L. Cano

Six Sigma
Methodology
Introduction

Six Sigma with R
Six Sigma Software
R Advantages
                                     Portable (e.g. for labs)
R Packages for Six Sigma

Teaching Resources
                                     Documentation
The Book
The package                          Reproducible research
Assessment Tools


                                     Learn by code
                                     Teacher’s packages
                                     Assignment capabilities



                            1st International Workshop on Teaching Decision Sciences and Technologies   13/33
Teaching 6σ Using R

     09/02/2011
                           Packages for Six Sigma
                           Other authors
 Emilio L. Cano

Six Sigma
Methodology
                            Specific
Introduction

Six Sigma with R                     qcc quality control charts
Six Sigma Software
R Advantages
R Packages for Six Sigma
                                     IQCC quality control charts
Teaching Resources
The Book                             qualityTools Tools for the DMAIC cycle
The package
Assessment Tools

                                     qAnalyst Control charts and capability analysis




                            1st International Workshop on Teaching Decision Sciences and Technologies   14/33
Teaching 6σ Using R

     09/02/2011
                           Packages for Six Sigma
                           Other authors
 Emilio L. Cano

Six Sigma
Methodology
                            Specific
Introduction

Six Sigma with R                     qcc quality control charts
Six Sigma Software
R Advantages
R Packages for Six Sigma
                                     IQCC quality control charts
Teaching Resources
The Book                             qualityTools Tools for the DMAIC cycle
The package
Assessment Tools

                                     qAnalyst Control charts and capability analysis

                            Graphics
                                     lattice Multivariate
                                     ggplot2 Grammar of graphics
                                     plotrix Varied charts
                            1st International Workshop on Teaching Decision Sciences and Technologies   14/33
Teaching 6σ Using R

     09/02/2011
                           Outline
 Emilio L. Cano

Six Sigma
                           1    Six Sigma Methodology
Methodology
Introduction                       Introduction
Six Sigma with R
Six Sigma Software
R Advantages
                           2    Six Sigma with R
R Packages for Six Sigma

Teaching Resources
                                   Six Sigma Software
The Book
The package                        R Advantages
Assessment Tools
                                   R Packages for Six Sigma
                           3    Teaching Resources
                                  The Book
                                  The package
                                  Assessment Tools

                           1st International Workshop on Teaching Decision Sciences and Technologies   15/33
Teaching 6σ Using R

     09/02/2011
                           The Book
                           Six Sigma with R
 Emilio L. Cano

Six Sigma
Methodology
Introduction

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

Teaching Resources
The Book
The package
Assessment Tools




                            1st International Workshop on Teaching Decision Sciences and Technologies   16/33
Teaching 6σ Using R

     09/02/2011
                           The Book
                           Six Sigma with R
 Emilio L. Cano

Six Sigma
Methodology
Introduction

Six Sigma with R
                                                                              Features
Six Sigma Software
R Advantages
                                                                                        Title:
R Packages for Six Sigma
                                                                                        Six Sigma with R
Teaching Resources
The Book
The package
                                                                                        Due June 2012
Assessment Tools

                                                                                        Wide background
                                                                                        scope
                                                                                        Examples, a Case
                                                                                        Study and
                                                                                        practices

                            1st International Workshop on Teaching Decision Sciences and Technologies   16/33
Teaching 6σ Using R

     09/02/2011
                           R: SixSigma Package
                           Focus in Applications
 Emilio L. Cano

Six Sigma
Methodology
Introduction

Six Sigma with R
                             Version History                                        Functions
Six Sigma Software                                                                  ss.pMap
R Advantages
                                 1    0.2.1 April 2011
R Packages for Six Sigma                                                            ss.ceDiag
Teaching Resources               2    ...                                           ss.rr
The Book
The package                                                                         ss.ci
Assessment Tools                 3    0.5.0 Jan 2012                                ss.study.ca
                                      (current)                                     ss.ca.yield
                                                                                    ss.ca.z
                             Data                                                   ss.ca.cp
                             ss.data.rr, ss.data.ca,                                ss.ca.cpk
                             ss.data.bolts,                                         ss.heli
                             ss.data.pastries.                                      ss.lf
                                                                                    ss.lfa
                            1st International Workshop on Teaching Decision Sciences and Technologies   17/33
Teaching 6σ Using R

     09/02/2011
                           Helicopter
                           Training Stuff
 Emilio L. Cano

Six Sigma
Methodology
Introduction

Six Sigma with R                    Template in pdf format to build paper
Six Sigma Software
R Advantages
R Packages for Six Sigma
                                         helicopter prototypes (?)
Teaching Resources
The Book
The package
Assessment Tools



                            > ss.heli()

                            null device
                                      1

                            > #vignette("HelicopterInstructions") for instructions




                            1st International Workshop on Teaching Decision Sciences and Technologies   18/33
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)
Teaching 6σ Using R

     09/02/2011
                           Diagrams
                           SixSigma Package
 Emilio L. Cano

Six Sigma                   Cause-and-effect Diagram
Methodology
Introduction

Six Sigma with R
Six Sigma Software
R Advantages                > example(ss.ceDiag)
R Packages for Six Sigma
                            ss.cDg>    #Data
Teaching Resources
The Book
                            ss.cDg>    effect<-"Flight Time"
The package                 ss.cDg>    causes.gr<-c("Operator", "Environment", "Tools", "Design",
Assessment Tools            ss.cDg+      "Raw.Material","Measure.Tool")
                            ss.cDg>    causes<-vector(mode="list", length=length(causes.gr))
                            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




                            1st International Workshop on Teaching Decision Sciences and Technologies   20/33
Teaching 6σ Using R

     09/02/2011
                           Cause-and-Effect Diagram
                           SixSigma Package
 Emilio L. Cano

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

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

The Book
The package
Assessment Tools


                                                                                                                                 Flight Time




                                                                                                                     paperclip
                                                                 model                    marks                  rotor.width2
                                                              calibrate                thickness              rotor.length

                                                   Measure.Tool Raw.Material                          Design




                                                                          Paper Helicopter Project


                            1st International Workshop on Teaching Decision Sciences and Technologies                                          21/33
Teaching 6σ Using R

     09/02/2011
                           Diagrams
                           SixSigma Package
 Emilio L. Cano

Six Sigma                   Process Map
Methodology
Introduction

Six Sigma with R            > example(ss.pMap)
Six Sigma Software
R Advantages
                            ss.pMp> inputs.overall<-c("operators", "tools", "raw material", "fac
R Packages for Six Sigma    ss.pMp> outputs.overall<-c("helicopter")
                            ss.pMp> procs<-c("INSPECTION", "ASSEMBLY", "TEST", "LABELING")
Teaching Resources
The Book
                            ss.pMp> input.output<-vector(mode="list",length=length(procs))
The package                 ss.pMp> input.output[1]<-list(c("sheets", "..."))
Assessment Tools            . . .
                            ss.pMp> x.parameters<-vector(mode="list",length=length(procs))
                            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")

                            1st International Workshop on Teaching Decision Sciences and Technologies   22/33
Teaching 6σ Using R

     09/02/2011
                           Process Map Diagram
                           SixSigma Package
 Emilio L. Cano

Six Sigma
Methodology                                                         Six Sigma Process Map
Introduction

                                                                         operators
Six Sigma with R                                    INPUTS
                                                                         tools
Six Sigma Software                                     X                 raw material
R Advantages
                                                                         facilities
R Packages for Six Sigma
                                           INSPECTION                        ASSEMBLY                           TEST                      LABELING
Teaching Resources                            sheets                           sheets                         helicopter                  helicopter
The Book                                        ...
                                           INPUTS




                                                                         INPUTS




                                                                                                     INPUTS




                                                                                                                                 INPUTS
The package
Assessment Tools


                                         Param.(x): width NC          Param.(x): operator C        Param.(x): operator C       Param.(x): operator C
                                                     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


                            1st International Workshop on Teaching Decision Sciences and Technologies                                                  23/33
Teaching 6σ Using R

     09/02/2011
                           Gage R&R Study
                           Measurement System Analysis
 Emilio L. Cano

Six Sigma
Methodology                 > #... Some theme instructions
Introduction
                            > ss.rr(time1, prototype, operator,
Six Sigma with R            +                 data=ss.data.rr, sub="Helicopter Project")
Six Sigma Software
R Advantages                Analysis of Variance Table
R Packages for Six Sigma

Teaching Resources          Response: var
The Book                                  Df  Sum Sq Mean Sq F value    Pr(>F)
The package                 part           2 1.20072 0.60036 28.0396 2.952e-06
Assessment Tools
                            appr           2 0.05294 0.02647 1.2363     0.3140
                            part:appr      4 0.08339 0.02085 0.9737     0.4462
                            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
                            . . .
                            1st International Workshop on Teaching Decision Sciences and Technologies   24/33
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
Teaching 6σ Using R

     09/02/2011
                           Further Development
                           On the Way
 Emilio L. Cano

Six Sigma
Methodology
Introduction

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

Teaching Resources
The Book
The package
Assessment Tools




                            1st International Workshop on Teaching Decision Sciences and Technologies   26/33
Teaching 6σ Using R

     09/02/2011
                           Further Development
                           On the Way
 Emilio L. Cano

Six Sigma
Methodology
Introduction

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

Teaching Resources                   Improved graphics
The Book
The package
Assessment Tools




                            1st International Workshop on Teaching Decision Sciences and Technologies   26/33
Teaching 6σ Using R

     09/02/2011
                           Further Development
                           On the Way
 Emilio L. Cano

Six Sigma
Methodology
Introduction

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

Teaching Resources                   Improved graphics
The Book
The package
Assessment Tools
                                     Tackle Further methodologies (DFSS,
                                     Lean, . . . )




                            1st International Workshop on Teaching Decision Sciences and Technologies   26/33
Teaching 6σ Using R

     09/02/2011
                           Further Development
                           On the Way
 Emilio L. Cano

Six Sigma
Methodology
Introduction

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

Teaching Resources                   Improved graphics
The Book
The package
Assessment Tools
                                     Tackle Further methodologies (DFSS,
                                     Lean, . . . )
                                     Non-normal / Non-linear methods




                            1st International Workshop on Teaching Decision Sciences and Technologies   26/33
Teaching 6σ Using R

     09/02/2011
                           Further Development
                           On the Way
 Emilio L. Cano

Six Sigma
Methodology
Introduction

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

Teaching Resources                   Improved graphics
The Book
The package
Assessment Tools
                                     Tackle Further methodologies (DFSS,
                                     Lean, . . . )
                                     Non-normal / Non-linear methods
                                     Bayesian perspective



                            1st International Workshop on Teaching Decision Sciences and Technologies   26/33
Teaching 6σ Using R

     09/02/2011
                           Further Development
                           On the Way
 Emilio L. Cano

Six Sigma
Methodology
Introduction

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

Teaching Resources                   Improved graphics
The Book
The package
Assessment Tools
                                     Tackle Further methodologies (DFSS,
                                     Lean, . . . )
                                     Non-normal / Non-linear methods
                                     Bayesian perspective
                                     Maybe a GUI


                            1st International Workshop on Teaching Decision Sciences and Technologies   26/33
Teaching 6σ Using R

     09/02/2011
                           Further Projects
                           Platform
 Emilio L. Cano

Six Sigma
Methodology
Introduction
                            Open Platform for Quality
Six Sigma with R
Six Sigma Software
                            Methodologies
R Advantages
R Packages for Six Sigma             Improving the European Factory (link)
Teaching Resources
The Book
The package
                                     FP7 PPP Funding Scheme
Assessment Tools
                                     Proposal submitted
                                     The project will also benefit teaching




                            1st International Workshop on Teaching Decision Sciences and Technologies   27/33
Teaching 6σ Using R

     09/02/2011
                           Package exams
                           Teaching with R
 Emilio L. Cano

Six Sigma
Methodology
Introduction

Six Sigma with R
Six Sigma Software
R Advantages
R Packages for Six Sigma
                                     Automatic generation of exams
Teaching Resources
The Book
                                     Customized assignements
The package
Assessment Tools                     Solutions document
                                     http://cran.r-project.org/web/
                                     packages/exams/




                            1st International Workshop on Teaching Decision Sciences and Technologies   28/33
Teaching 6σ Using R

     09/02/2011
                           Package RGIFT
                           Teaching with R
 Emilio L. Cano

Six Sigma
Methodology                          Open format GIFT
Introduction

Six Sigma with R                     Integration with Moodle
Six Sigma Software
R Advantages
R Packages for Six Sigma
                                     Automatic correction
Teaching Resources
The Book
                                     http://cran.r-project.org/web/
The package
Assessment Tools
                                     packages/RGIFT/




                            1st International Workshop on Teaching Decision Sciences and Technologies   29/33
Teaching 6σ Using R

     09/02/2011
                           Generating Documentation
                           Teaching with R
 Emilio L. Cano

Six Sigma
Methodology
Introduction

Six Sigma with R
Six Sigma Software
                                     Sweave: R + LTEX
                                                    A
R Advantages
R Packages for Six Sigma
                                     Literate programming
Teaching Resources
The Book
The package
                                     Reproducible research
Assessment Tools
                                     Merge materials into different formats:
                                     presentations, lecture notes, assignments.
                                     Extended packages: pgfSweave and
                                     knitr



                            1st International Workshop on Teaching Decision Sciences and Technologies   30/33
Teaching 6σ Using R

     09/02/2011
                           Summary
 Emilio L. Cano

Six Sigma
Methodology
                                    R is becoming a real alternative to
Introduction
                                    commercial software for Six Sigma.
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for Six Sigma

Teaching Resources
The Book
The package
Assessment Tools




                           1st International Workshop on Teaching Decision Sciences and Technologies   31/33
Teaching 6σ Using R

     09/02/2011
                           Summary
 Emilio L. Cano

Six Sigma
Methodology
                                    R is becoming a real alternative to
Introduction
                                    commercial software for Six Sigma.
Six Sigma with R
Six Sigma Software
R Advantages
                                    R provides innovative ways of teaching
R Packages for Six Sigma

Teaching Resources
                                    and assessment.
The Book
The package
Assessment Tools




                           1st International Workshop on Teaching Decision Sciences and Technologies   31/33
Teaching 6σ Using R

     09/02/2011
                           Summary
 Emilio L. Cano

Six Sigma
Methodology
                                    R is becoming a real alternative to
Introduction
                                    commercial software for Six Sigma.
Six Sigma with R
Six Sigma Software
R Advantages
                                    R provides innovative ways of teaching
R Packages for Six Sigma

Teaching Resources
                                    and assessment.
The Book
The package                         R allows being more productive and have
Assessment Tools

                                    less errors




                           1st International Workshop on Teaching Decision Sciences and Technologies   31/33
Teaching 6σ Using R

     09/02/2011
                           Summary
 Emilio L. Cano

Six Sigma
Methodology
                                    R is becoming a real alternative to
Introduction
                                    commercial software for Six Sigma.
Six Sigma with R
Six Sigma Software
R Advantages
                                    R provides innovative ways of teaching
R Packages for Six Sigma

Teaching Resources
                                    and assessment.
The Book
The package                         R allows being more productive and have
Assessment Tools

                                    less errors

                                    Further steps




                           1st International Workshop on Teaching Decision Sciences and Technologies   31/33
Teaching 6σ Using R

     09/02/2011
                           Summary
 Emilio L. Cano

Six Sigma
Methodology
                                    R is becoming a real alternative to
Introduction
                                    commercial software for Six Sigma.
Six Sigma with R
Six Sigma Software
R Advantages
                                    R provides innovative ways of teaching
R Packages for Six Sigma

Teaching Resources
                                    and assessment.
The Book
The package                         R allows being more productive and have
Assessment Tools

                                    less errors

                                    Further steps
                                              SixSigma package development




                           1st International Workshop on Teaching Decision Sciences and Technologies   31/33
Teaching 6σ Using R

     09/02/2011
                           Summary
 Emilio L. Cano

Six Sigma
Methodology
                                    R is becoming a real alternative to
Introduction
                                    commercial software for Six Sigma.
Six Sigma with R
Six Sigma Software
R Advantages
                                    R provides innovative ways of teaching
R Packages for Six Sigma

Teaching Resources
                                    and assessment.
The Book
The package                         R allows being more productive and have
Assessment Tools

                                    less errors

                                    Further steps
                                              SixSigma package development
                                              Publications in preparation



                           1st International Workshop on Teaching Decision Sciences and Technologies   31/33
Teaching 6σ Using R

     09/02/2011
                           Summary
 Emilio L. Cano

Six Sigma
Methodology
                                    R is becoming a real alternative to
Introduction
                                    commercial software for Six Sigma.
Six Sigma with R
Six Sigma Software
R Advantages
                                    R provides innovative ways of teaching
R Packages for Six Sigma

Teaching Resources
                                    and assessment.
The Book
The package                         R allows being more productive and have
Assessment Tools

                                    less errors

                                    Further steps
                                              SixSigma package development
                                              Publications in preparation
                                              Six Sigma platform?

                           1st International Workshop on Teaching Decision Sciences and Technologies   31/33
Teaching 6σ Using R

     09/02/2011
                           Acknowledgements
 Emilio L. Cano

Six Sigma
Methodology                R people
Introduction

Six Sigma with R
                           Kurt Hornik, R Core Team
Six Sigma Software
R Advantages
R Packages for Six Sigma

Teaching Resources
                           Springer
The Book
The package
                           Marc Strauss. Springer
Assessment Tools


                           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) and
                           AGORANET project (IPT-430000-2010-32)

                           1st International Workshop on Teaching Decision Sciences and Technologies   32/33
Teaching 6σ Using R

     09/02/2011
                           Discussion
 Emilio L. Cano

Six Sigma
Methodology
Introduction
                                         Thanks for your
Six Sigma with R
Six Sigma Software
R Advantages
R Packages for Six Sigma
                                           attention !
Teaching Resources
The Book
The package
Assessment Tools


                                                            Any question?


                                                      emilio.lopez@urjc.es

                                                           @emilopezcano
                           1st International Workshop on Teaching Decision Sciences and Technologies   33/33

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Teaching Six Sigma Quality with R

  • 1. Teaching 6σ Using R 09/02/2011 Emilio L. Cano Teaching Six Sigma Quality Six Sigma Methodology Introduction with R Six Sigma with R Six Sigma Software R Advantages R Packages for Six Sigma Emilio L. Cano, Javier M. Moguerza and Teaching Resources The Book Andres Redchuk The package Assessment Tools Department of Statistics and Operations Research University Rey Juan Carlos (Madrid) ´ Obuda University, Budapest, February 2012 1st International Workshop on Teaching Decision Sciences and Technologies 1/33
  • 2. Teaching 6σ Using R 09/02/2011 Outline Emilio L. Cano Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Six Sigma with R Six Sigma Software R Advantages R Packages for Six Sigma Teaching Resources The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 2/33
  • 3. Teaching 6σ Using R 09/02/2011 Outline Emilio L. Cano Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Six Sigma with R Six Sigma Software R Advantages 2 Six Sigma with R R Packages for Six Sigma Teaching Resources Six Sigma Software The Book The package R Advantages Assessment Tools R Packages for Six Sigma 1st International Workshop on Teaching Decision Sciences and Technologies 2/33
  • 4. Teaching 6σ Using R 09/02/2011 Outline Emilio L. Cano Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Six Sigma with R Six Sigma Software R Advantages 2 Six Sigma with R R Packages for Six Sigma Teaching Resources Six Sigma Software The Book The package R Advantages Assessment Tools R Packages for Six Sigma 3 Teaching Resources The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 2/33
  • 5. Teaching 6σ Using R 09/02/2011 Outline Emilio L. Cano Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Six Sigma with R Six Sigma Software R Advantages 2 Six Sigma with R R Packages for Six Sigma Teaching Resources Six Sigma Software The Book The package R Advantages Assessment Tools R Packages for Six Sigma 3 Teaching Resources The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 3/33
  • 6. Teaching 6σ Using R 09/02/2011 The Basics Quality Emilio L. Cano Six Sigma Methodology Introduction Classical approach Six Sigma with R Six Sigma Software The Key Characteristic of a R Advantages R Packages for Six Sigma product/service/process Teaching Resources must be inside the The Book specification limits Cost of Poor Quality The package Assessment Tools LSL T USL Observed value of the characteristic 1st International Workshop on Teaching Decision Sciences and Technologies 4/33
  • 7. Teaching 6σ Using R 09/02/2011 The Basics Quality Emilio L. Cano Six Sigma Methodology Introduction Classical approach Six Sigma with R Six Sigma Software The Key Characteristic of a R Advantages R Packages for Six Sigma product/service/process Teaching Resources must be inside the The Book specification limits Cost of Poor Quality The package Assessment Tools LSL T USL Six Sigma approach The Key Characteristic approximate the target, with as less variation as Observed value of the characteristic possible. 1st International Workshop on Teaching Decision Sciences and Technologies 4/33
  • 8. Teaching 6σ Using R 09/02/2011 The Basics Quality Emilio L. Cano Six Sigma Methodology Introduction Classical approach Six Sigma with R Six Sigma Software The Key Characteristic of a R Advantages R Packages for Six Sigma product/service/process Teaching Resources must be inside the The Book specification limits Cost of Poor Quality The package Assessment Tools LSL T USL Six Sigma approach The Key Characteristic approximate the target, with as less variation as Observed value of the characteristic possible. 1st International Workshop on Teaching Decision Sciences and Technologies 4/33
  • 9. Teaching 6σ Using R 09/02/2011 Why 6 and why Sigma The Basics Emilio L. Cano Six Sigma Sigma refers to the Z-Score of the process: Methodology Introduction (USL − x) (x − LSL) Six Sigma with R Z = min , ; ZLT = ZST −1.5. Six Sigma Software σ σ R Advantages R Packages for Six Sigma Teaching Resources The Book The package Short Term Long Term Assessment Tools > (1-pnorm(4.5))*(10^6) Frequency [1] 3.397673 1.5σ 4.5σ DPMO CTQ 1st International Workshop on Teaching Decision Sciences and Technologies 5/33
  • 10. Teaching 6σ Using R 09/02/2011 The Scientific Method & Six Emilio L. Cano Sigma Six Sigma Methodology Introduction Six Sigma with R DMAIC Cycle Scientific Method Six Sigma Software R Advantages Ask a question R Packages for Six Sigma Define Teaching Resources Do some background research The Book The package Measure Assessment Tools Construct a hypothesis Analyze Test the hypothesis with an experiment Improve Analyze the data and draw conclusions Control Communicate results 1st International Workshop on Teaching Decision Sciences and Technologies 6/33
  • 11. Teaching 6σ Using R 09/02/2011 Outline Emilio L. Cano Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Six Sigma with R Six Sigma Software R Advantages 2 Six Sigma with R R Packages for Six Sigma Teaching Resources Six Sigma Software The Book The package R Advantages Assessment Tools R Packages for Six Sigma 3 Teaching Resources The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 7/33
  • 12. Teaching 6σ Using R 09/02/2011 Commercial Software State-of-the-art Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Six Sigma Software R Advantages R Packages for Six Sigma Teaching Resources The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 8/33
  • 13. Teaching 6σ Using R 09/02/2011 Commercial Software State-of-the-art Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Programs Six Sigma Software R Advantages R Packages for Six Sigma Minitab Teaching Resources The Book SPSS The package Assessment Tools StatGraphics JMP & SAS Any statistical software, or even spreadsheets 1st International Workshop on Teaching Decision Sciences and Technologies 8/33
  • 14. Teaching 6σ Using R 09/02/2011 Commercial Software Trends Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Six Sigma Software R Advantages R Packages for Six Sigma Teaching Resources The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 9/33
  • 15. Teaching 6σ Using R 09/02/2011 Commercial Software Trends Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Internet Six Sigma Software R Advantages Software as a R Packages for Six Sigma Teaching Resources Service The Book The package Web Assessment Tools Applications Everywhere Every display 1st International Workshop on Teaching Decision Sciences and Technologies 9/33
  • 16. Teaching 6σ Using R 09/02/2011 Commercial Software Trends Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Internet Open Six Sigma Software R Advantages Software as a Technologies R Packages for Six Sigma Teaching Resources Service Linux The Book The package Web OpenOffice Assessment Tools Applications R Everywhere ... Every display 1st International Workshop on Teaching Decision Sciences and Technologies 9/33
  • 17. Teaching 6σ Using R 09/02/2011 Introduction R Project Emilio L. Cano Six Sigma Methodology A system for statistical computing and Introduction graphing Six Sigma with R Six Sigma Software R Advantages Massively used for academic and research R Packages for Six Sigma purposes, important Companies use R: Teaching Resources The Book Google, Pfizer, . . . The package Assessment Tools Ross Ihaka and Robert Gentleman, following the work at Bell Laboratories with the S Language 1st International Workshop on Teaching Decision Sciences and Technologies 10/33
  • 18. Teaching 6σ Using R 09/02/2011 Free Technology R Project Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Six Sigma Software R Advantages R Packages for Six Sigma Teaching Resources Open Source The Book The package Freely available Assessment Tools Platform independent Huge community giving support 1st International Workshop on Teaching Decision Sciences and Technologies 11/33
  • 19. Teaching 6σ Using R 09/02/2011 Packages R Project Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Six Sigma Software R Advantages http://cran.r-project.org R Packages for Six Sigma Teaching Resources 3115 Contributed Packages (04/07/2011) The Book The package Assessment Tools 3586 (05/02/2012) Task views Manuals Publications 1st International Workshop on Teaching Decision Sciences and Technologies 12/33
  • 20. Teaching 6σ Using R 09/02/2011 R for Teaching Advantages Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Six Sigma Software R Advantages Portable (e.g. for labs) R Packages for Six Sigma Teaching Resources Documentation The Book The package Reproducible research Assessment Tools Learn by code Teacher’s packages Assignment capabilities 1st International Workshop on Teaching Decision Sciences and Technologies 13/33
  • 21. Teaching 6σ Using R 09/02/2011 Packages for Six Sigma Other authors Emilio L. Cano Six Sigma Methodology Specific Introduction Six Sigma with R qcc quality control charts Six Sigma Software R Advantages R Packages for Six Sigma IQCC quality control charts Teaching Resources The Book qualityTools Tools for the DMAIC cycle The package Assessment Tools qAnalyst Control charts and capability analysis 1st International Workshop on Teaching Decision Sciences and Technologies 14/33
  • 22. Teaching 6σ Using R 09/02/2011 Packages for Six Sigma Other authors Emilio L. Cano Six Sigma Methodology Specific Introduction Six Sigma with R qcc quality control charts Six Sigma Software R Advantages R Packages for Six Sigma IQCC quality control charts Teaching Resources The Book qualityTools Tools for the DMAIC cycle The package Assessment Tools qAnalyst Control charts and capability analysis Graphics lattice Multivariate ggplot2 Grammar of graphics plotrix Varied charts 1st International Workshop on Teaching Decision Sciences and Technologies 14/33
  • 23. Teaching 6σ Using R 09/02/2011 Outline Emilio L. Cano Six Sigma 1 Six Sigma Methodology Methodology Introduction Introduction Six Sigma with R Six Sigma Software R Advantages 2 Six Sigma with R R Packages for Six Sigma Teaching Resources Six Sigma Software The Book The package R Advantages Assessment Tools R Packages for Six Sigma 3 Teaching Resources The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 15/33
  • 24. Teaching 6σ Using R 09/02/2011 The Book Six Sigma with R Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Six Sigma Software R Advantages R Packages for Six Sigma Teaching Resources The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 16/33
  • 25. Teaching 6σ Using R 09/02/2011 The Book Six Sigma with R Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Features Six Sigma Software R Advantages Title: R Packages for Six Sigma Six Sigma with R Teaching Resources The Book The package Due June 2012 Assessment Tools Wide background scope Examples, a Case Study and practices 1st International Workshop on Teaching Decision Sciences and Technologies 16/33
  • 26. Teaching 6σ Using R 09/02/2011 R: SixSigma Package Focus in Applications Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Version History Functions Six Sigma Software ss.pMap R Advantages 1 0.2.1 April 2011 R Packages for Six Sigma ss.ceDiag Teaching Resources 2 ... ss.rr The Book The package ss.ci Assessment Tools 3 0.5.0 Jan 2012 ss.study.ca (current) ss.ca.yield ss.ca.z Data ss.ca.cp ss.data.rr, ss.data.ca, ss.ca.cpk ss.data.bolts, ss.heli ss.data.pastries. ss.lf ss.lfa 1st International Workshop on Teaching Decision Sciences and Technologies 17/33
  • 27. Teaching 6σ Using R 09/02/2011 Helicopter Training Stuff Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Template in pdf format to build paper Six Sigma Software R Advantages R Packages for Six Sigma helicopter prototypes (?) Teaching Resources The Book The package Assessment Tools > ss.heli() null device 1 > #vignette("HelicopterInstructions") for instructions 1st International Workshop on Teaching Decision Sciences and Technologies 18/33
  • 28. 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)
  • 29. Teaching 6σ Using R 09/02/2011 Diagrams SixSigma Package Emilio L. Cano Six Sigma Cause-and-effect Diagram Methodology Introduction Six Sigma with R Six Sigma Software R Advantages > example(ss.ceDiag) R Packages for Six Sigma ss.cDg> #Data Teaching Resources The Book ss.cDg> effect<-"Flight Time" The package ss.cDg> causes.gr<-c("Operator", "Environment", "Tools", "Design", Assessment Tools ss.cDg+ "Raw.Material","Measure.Tool") ss.cDg> causes<-vector(mode="list", length=length(causes.gr)) 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 1st International Workshop on Teaching Decision Sciences and Technologies 20/33
  • 30. Teaching 6σ Using R 09/02/2011 Cause-and-Effect Diagram SixSigma Package Emilio L. Cano Six Sigma Methodology Six Sigma Cause−and−effect Diagram Introduction Six Sigma with R Six Sigma Software R Advantages Operator Environment Tools R Packages for Six Sigma operator #1 height scissors operator #2 cleaning tape Teaching Resources operator #3 The Book The package Assessment Tools Flight Time paperclip model marks rotor.width2 calibrate thickness rotor.length Measure.Tool Raw.Material Design Paper Helicopter Project 1st International Workshop on Teaching Decision Sciences and Technologies 21/33
  • 31. Teaching 6σ Using R 09/02/2011 Diagrams SixSigma Package Emilio L. Cano Six Sigma Process Map Methodology Introduction Six Sigma with R > example(ss.pMap) Six Sigma Software R Advantages ss.pMp> inputs.overall<-c("operators", "tools", "raw material", "fac R Packages for Six Sigma ss.pMp> outputs.overall<-c("helicopter") ss.pMp> procs<-c("INSPECTION", "ASSEMBLY", "TEST", "LABELING") Teaching Resources The Book ss.pMp> input.output<-vector(mode="list",length=length(procs)) The package ss.pMp> input.output[1]<-list(c("sheets", "...")) Assessment Tools . . . ss.pMp> x.parameters<-vector(mode="list",length=length(procs)) 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") 1st International Workshop on Teaching Decision Sciences and Technologies 22/33
  • 32. Teaching 6σ Using R 09/02/2011 Process Map Diagram SixSigma Package Emilio L. Cano Six Sigma Methodology Six Sigma Process Map Introduction operators Six Sigma with R INPUTS tools Six Sigma Software X raw material R Advantages facilities R Packages for Six Sigma INSPECTION ASSEMBLY TEST LABELING Teaching Resources sheets sheets helicopter helicopter The Book ... INPUTS INPUTS INPUTS INPUTS The package Assessment Tools Param.(x): width NC Param.(x): operator C Param.(x): operator C Param.(x): operator C 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 1st International Workshop on Teaching Decision Sciences and Technologies 23/33
  • 33. Teaching 6σ Using R 09/02/2011 Gage R&R Study Measurement System Analysis Emilio L. Cano Six Sigma Methodology > #... Some theme instructions Introduction > ss.rr(time1, prototype, operator, Six Sigma with R + data=ss.data.rr, sub="Helicopter Project") Six Sigma Software R Advantages Analysis of Variance Table R Packages for Six Sigma Teaching Resources Response: var The Book Df Sum Sq Mean Sq F value Pr(>F) The package part 2 1.20072 0.60036 28.0396 2.952e-06 Assessment Tools appr 2 0.05294 0.02647 1.2363 0.3140 part:appr 4 0.08339 0.02085 0.9737 0.4462 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 . . . 1st International Workshop on Teaching Decision Sciences and Technologies 24/33
  • 34. 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
  • 35. Teaching 6σ Using R 09/02/2011 Further Development On the Way Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Functions for a wide range of tools along Six Sigma Software R Advantages all the DMAIC phases. R Packages for Six Sigma Teaching Resources The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 26/33
  • 36. Teaching 6σ Using R 09/02/2011 Further Development On the Way Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Functions for a wide range of tools along Six Sigma Software R Advantages all the DMAIC phases. R Packages for Six Sigma Teaching Resources Improved graphics The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 26/33
  • 37. Teaching 6σ Using R 09/02/2011 Further Development On the Way Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Functions for a wide range of tools along Six Sigma Software R Advantages all the DMAIC phases. R Packages for Six Sigma Teaching Resources Improved graphics The Book The package Assessment Tools Tackle Further methodologies (DFSS, Lean, . . . ) 1st International Workshop on Teaching Decision Sciences and Technologies 26/33
  • 38. Teaching 6σ Using R 09/02/2011 Further Development On the Way Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Functions for a wide range of tools along Six Sigma Software R Advantages all the DMAIC phases. R Packages for Six Sigma Teaching Resources Improved graphics The Book The package Assessment Tools Tackle Further methodologies (DFSS, Lean, . . . ) Non-normal / Non-linear methods 1st International Workshop on Teaching Decision Sciences and Technologies 26/33
  • 39. Teaching 6σ Using R 09/02/2011 Further Development On the Way Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Functions for a wide range of tools along Six Sigma Software R Advantages all the DMAIC phases. R Packages for Six Sigma Teaching Resources Improved graphics The Book The package Assessment Tools Tackle Further methodologies (DFSS, Lean, . . . ) Non-normal / Non-linear methods Bayesian perspective 1st International Workshop on Teaching Decision Sciences and Technologies 26/33
  • 40. Teaching 6σ Using R 09/02/2011 Further Development On the Way Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Functions for a wide range of tools along Six Sigma Software R Advantages all the DMAIC phases. R Packages for Six Sigma Teaching Resources Improved graphics The Book The package Assessment Tools Tackle Further methodologies (DFSS, Lean, . . . ) Non-normal / Non-linear methods Bayesian perspective Maybe a GUI 1st International Workshop on Teaching Decision Sciences and Technologies 26/33
  • 41. Teaching 6σ Using R 09/02/2011 Further Projects Platform Emilio L. Cano Six Sigma Methodology Introduction Open Platform for Quality Six Sigma with R Six Sigma Software Methodologies R Advantages R Packages for Six Sigma Improving the European Factory (link) Teaching Resources The Book The package FP7 PPP Funding Scheme Assessment Tools Proposal submitted The project will also benefit teaching 1st International Workshop on Teaching Decision Sciences and Technologies 27/33
  • 42. Teaching 6σ Using R 09/02/2011 Package exams Teaching with R Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Six Sigma Software R Advantages R Packages for Six Sigma Automatic generation of exams Teaching Resources The Book Customized assignements The package Assessment Tools Solutions document http://cran.r-project.org/web/ packages/exams/ 1st International Workshop on Teaching Decision Sciences and Technologies 28/33
  • 43. Teaching 6σ Using R 09/02/2011 Package RGIFT Teaching with R Emilio L. Cano Six Sigma Methodology Open format GIFT Introduction Six Sigma with R Integration with Moodle Six Sigma Software R Advantages R Packages for Six Sigma Automatic correction Teaching Resources The Book http://cran.r-project.org/web/ The package Assessment Tools packages/RGIFT/ 1st International Workshop on Teaching Decision Sciences and Technologies 29/33
  • 44. Teaching 6σ Using R 09/02/2011 Generating Documentation Teaching with R Emilio L. Cano Six Sigma Methodology Introduction Six Sigma with R Six Sigma Software Sweave: R + LTEX A R Advantages R Packages for Six Sigma Literate programming Teaching Resources The Book The package Reproducible research Assessment Tools Merge materials into different formats: presentations, lecture notes, assignments. Extended packages: pgfSweave and knitr 1st International Workshop on Teaching Decision Sciences and Technologies 30/33
  • 45. Teaching 6σ Using R 09/02/2011 Summary Emilio L. Cano Six Sigma Methodology R is becoming a real alternative to Introduction commercial software for Six Sigma. Six Sigma with R Six Sigma Software R Advantages R Packages for Six Sigma Teaching Resources The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 31/33
  • 46. Teaching 6σ Using R 09/02/2011 Summary Emilio L. Cano Six Sigma Methodology R is becoming a real alternative to Introduction commercial software for Six Sigma. Six Sigma with R Six Sigma Software R Advantages R provides innovative ways of teaching R Packages for Six Sigma Teaching Resources and assessment. The Book The package Assessment Tools 1st International Workshop on Teaching Decision Sciences and Technologies 31/33
  • 47. Teaching 6σ Using R 09/02/2011 Summary Emilio L. Cano Six Sigma Methodology R is becoming a real alternative to Introduction commercial software for Six Sigma. Six Sigma with R Six Sigma Software R Advantages R provides innovative ways of teaching R Packages for Six Sigma Teaching Resources and assessment. The Book The package R allows being more productive and have Assessment Tools less errors 1st International Workshop on Teaching Decision Sciences and Technologies 31/33
  • 48. Teaching 6σ Using R 09/02/2011 Summary Emilio L. Cano Six Sigma Methodology R is becoming a real alternative to Introduction commercial software for Six Sigma. Six Sigma with R Six Sigma Software R Advantages R provides innovative ways of teaching R Packages for Six Sigma Teaching Resources and assessment. The Book The package R allows being more productive and have Assessment Tools less errors Further steps 1st International Workshop on Teaching Decision Sciences and Technologies 31/33
  • 49. Teaching 6σ Using R 09/02/2011 Summary Emilio L. Cano Six Sigma Methodology R is becoming a real alternative to Introduction commercial software for Six Sigma. Six Sigma with R Six Sigma Software R Advantages R provides innovative ways of teaching R Packages for Six Sigma Teaching Resources and assessment. The Book The package R allows being more productive and have Assessment Tools less errors Further steps SixSigma package development 1st International Workshop on Teaching Decision Sciences and Technologies 31/33
  • 50. Teaching 6σ Using R 09/02/2011 Summary Emilio L. Cano Six Sigma Methodology R is becoming a real alternative to Introduction commercial software for Six Sigma. Six Sigma with R Six Sigma Software R Advantages R provides innovative ways of teaching R Packages for Six Sigma Teaching Resources and assessment. The Book The package R allows being more productive and have Assessment Tools less errors Further steps SixSigma package development Publications in preparation 1st International Workshop on Teaching Decision Sciences and Technologies 31/33
  • 51. Teaching 6σ Using R 09/02/2011 Summary Emilio L. Cano Six Sigma Methodology R is becoming a real alternative to Introduction commercial software for Six Sigma. Six Sigma with R Six Sigma Software R Advantages R provides innovative ways of teaching R Packages for Six Sigma Teaching Resources and assessment. The Book The package R allows being more productive and have Assessment Tools less errors Further steps SixSigma package development Publications in preparation Six Sigma platform? 1st International Workshop on Teaching Decision Sciences and Technologies 31/33
  • 52. Teaching 6σ Using R 09/02/2011 Acknowledgements Emilio L. Cano Six Sigma Methodology R people Introduction Six Sigma with R Kurt Hornik, R Core Team Six Sigma Software R Advantages R Packages for Six Sigma Teaching Resources Springer The Book The package Marc Strauss. Springer Assessment Tools 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) and AGORANET project (IPT-430000-2010-32) 1st International Workshop on Teaching Decision Sciences and Technologies 32/33
  • 53. Teaching 6σ Using R 09/02/2011 Discussion Emilio L. Cano Six Sigma Methodology Introduction Thanks for your Six Sigma with R Six Sigma Software R Advantages R Packages for Six Sigma attention ! Teaching Resources The Book The package Assessment Tools Any question? emilio.lopez@urjc.es @emilopezcano 1st International Workshop on Teaching Decision Sciences and Technologies 33/33