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Six Sigma Quality Using R: Tools and Training

This document discusses using the statistical software R for Six Sigma quality improvement projects. It introduces Six Sigma methodology and the DMAIC problem-solving strategy. The presentation outlines how R can be used for Six Sigma tools and analysis, highlights useful R packages for Six Sigma, and describes efforts to spread the use of R for quality improvement.

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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

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  • 10.
    6σ Quality UsingR 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
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    6σ Quality UsingR 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
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  • 16.
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  • 19.
    6σ Quality UsingR 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.
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  • 21.
    6σ Quality UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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.
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    6σ Quality UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 withR | 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 GageR&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 UsingR 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 CapabilityAnalysis 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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
  • 60.
    6σ Quality UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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 UsingR 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