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Teaching Six Sigma Quality with R

  1. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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

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