This guide will help Lean Six Sigma Black Belt candidates prepare for a
certification exam for FREE. Although this guide is based on the IASSC
BOK it will still be useful for candidates seeking ASQ or other
organization provided certifications.
About IASSC
The International Association for Six Sigma Certification (IASSC) is a Professional Association dedicated to growing and enhancing the standards within the Lean Six Sigma Community. IASSC is the only independent third-party certification body within the Lean Six Sigma Industry that does not provide training, mentoring and coaching or consulting services. IASSC exclusively facilitates and delivers centralized universal Lean Six Sigma Certification Standards testing and organizational Accreditation’s. Here is a link: http://www.iassc.org/.
1.0 Define Phase
1.1 The Basics of Six Sigma
1.1.1 Meanings of Six Sigma
1.1.3 Deliverables of a Lean Six Sigma Project
1.1.4 The Problem Solving Strategy Y = f(x)
1.1.6 Six Sigma Roles & Responsibilities
1.2 The Fundamentals of Six Sigma
1.2.1 Defining a Process
1.2.2 Critical to Quality Characteristics (CTQ’s)
a. including DPU, DPMO, FTY, RTY Cycle Time, deriving these metrics and these metrics
1.3 Selecting Lean Six Sigma Projects
1.3.1 Building a Business Case & Project Charter
1.4 The Lean Enterprise
1.4.1 Understanding Lean
1.4.3 Lean & Six Sigma
http://en.wikipedia.org/wiki/Lean_Six_Sigma
1.4.4 The Seven Elements of Waste
a. Overproduction, Correction, Inventory, Motion, Overprocessing, Conveyance, Waiting.
a. Straighten, Shine, Standardize, Self-Discipline, Sort
2.0 Measure Phase
2.1 Process Definition
2.1.1 Cause & Effect / Fishbone Diagrams
2.1.2 Process Mapping, SIPOC, Value Stream Map
2.2 Six Sigma Statistics
2.2.1 Basic Statistics
2.3 Measurement System Analysis
2.3.1 Precision & Accuracy
2.3.2 Bias, Linearity & Stability
2.3.3 Gage Repeatability & Reproducibility
2.4 Process Capability
2.4.1 Capability Analysis
2.4.3 Attribute & Discrete Capability
2.4.4 Monitoring Techniques
3.0 Analyze Phase
3.1 Patterns of Variation
3.1.2 Classes of Distributions
3.2 Inferential Statistics
3.2.1 Understanding Inference
3.2.2 Sampling Techniques & Uses
3.3 Hypothesis Testing
3.3.1 General Concepts & Goals of Hypothesis Testing
3.3.2 Significance; Practical vs. Statistical
3.3.3 Risk; Alpha & Beta
3.4 Hypothesis Testing with Normal Data
3.5 Hypothesis Testing with Non-Normal Data
3.5.4 Friedman
3.5.6 1 Sample Wilcoxon
3.5.7 One and Two Sample Proportion
http://math.hws.edu/javamath/ryan/ChiSquare.html
a. Including Tests of Equal Variance, Normality Testing and Sample Size calculation,performing tests and interpreting results.
4.0 Improve Phase
4.1 Simple Linear Regression
4.1.1 Correlation
4.1.2 Regression Equations
4.2 Multiple Regression Analysis
4.2.1 Non- Linear Regression
4.2.2 Multiple Linear Regression
4.2.3 Confidence & Prediction Intervals
4.3 Designed Experiments
4.3.1 Experiment Objectives
4.4 Full Factorial Experiments
4.4.1 2k Full Factorial Designs
4.4.2 Linear & Quadratic Mathematical Models
4.5 Fractional Factorial Experiments
4.5.1 Designs
5.0 Control Phase
5.1 Lean Controls
5.1.1 Control Methods for 5S
5.1.2 Kanban
5.1.3 Poka-Yoke (Mistake Proofing)
5.2 Statistical Process Control (SPC)
5.2.2 I-MR Chart
5.2.4 U Chart
5.2.5 P Chart
5.2.6 NP Chart
5.2.7 X-S chart
5.2.8 CumSum Chart
5.2.11 Control Chart Anatomy
5.3 Six Sigma Control Plans
5.3.1 Cost Benefit Analysis
5.3.3 Elements of the Response Plan
About IASSC
The International Association for Six Sigma Certification (IASSC) is a Professional Association dedicated to growing and enhancing the standards within the Lean Six Sigma Community. IASSC is the only independent third-party certification body within the Lean Six Sigma Industry that does not provide training, mentoring and coaching or consulting services. IASSC exclusively facilitates and delivers centralized universal Lean Six Sigma Certification Standards testing and organizational Accreditation’s. Here is a link: http://www.iassc.org/.
1.0 Define Phase
1.1 The Basics of Six Sigma
1.1.1 Meanings of Six Sigma
- https://en.wikipedia.org/wiki/Six_Sigma
- http://www.dummies.com/how-to/content/six-sigma-for-dummies-cheat-sheet.html
- http://www.skymark.com/resources/methods/sixsigmaquality.asp
1.1.3 Deliverables of a Lean Six Sigma Project
1.1.4 The Problem Solving Strategy Y = f(x)
- http://www.isixsigma.com/new-to-six-sigma/dmaic/yfx-roadmap-telling-dmaic-story-using-xs-and-ys/
- http://www.micquality.com/six_sigma_glossary/big_y.htm
1.1.6 Six Sigma Roles & Responsibilities
1.2 The Fundamentals of Six Sigma
1.2.1 Defining a Process
1.2.2 Critical to Quality Characteristics (CTQ’s)
- http://www.visionraval.com/six-sigma-critical-to-x-overview/
- http://www.isixsigma.com/dictionary/critical-to-quality-ctq/
- http://www.processma.com/resource/critical_to_quality.htm
- http://www.mindtools.com/pages/article/ctq-trees.htm (CTQ tree)
- http://www.me.utexas.edu/~me366j/QFD/Notes.html (Quality Function Deployment)
- http://video.mit.edu/watch/lecture-4-quality-function-deployment-qfd-and-house-of-quality-12209/ (Quality Function Deployment_video)
- http://gurujuran.blogspot.com/2009/04/jurans-trilogy.html (Juran’s quality trilogy: quality planning, quality control, and quality improvement)
- http://www.isixsigma.com/implementation/financial-analysis/cost-quality-not-only-failure-costs/
- www.juran.com/elifeline/elifefiles/2009/09/Cost-of-Poor-Quality.ppt
- http://www.six-sigma-material.com/Cost-of-Poor-Quality.html
- http://asq.org/learn-about-quality/cost-of-quality/overview/overview.html (Cost of Quality)
- http://www.systemsquality.com/sitebuildercontent/sitebuilderfiles/coqascidriver.pdf
- http://asq.org/learn-about-quality/qfd-quality-function-deployment/overview/kano-model.html (Kano Model)
- http://asq.org/learn-about-quality/cause-analysis-tools/overview/pareto.html
- http://www.mindtools.com/pages/article/newTED_01.htm
a. including DPU, DPMO, FTY, RTY Cycle Time, deriving these metrics and these metrics
- http://www.six-sigma-material.com/defectsperunit.html (DPU)
- http://www.six-sigma-material.com/defectsperopportunity.html (DPO)
- http://www.six-sigma-material.com/defectspermillionopportunities.html (DPMO)
- http://en.wikipedia.org/wiki/First_pass_yield (FTY vs TPY)
- http://www.six-sigma-material.com/Final-Yield.html (FY)
- http://www.six-sigma-material.com/Throughput-Yield.html (TPY)
- http://www.six-sigma-material.com/Rolled-Throughput-Yield.html (RTY)
- http://lssacademy.com/2010/07/20/how-to-determine-cycle-time-takt-time-lead-time/(Cycle Time and Takt Time)
1.3 Selecting Lean Six Sigma Projects
1.3.1 Building a Business Case & Project Charter
- http://www.managementstudyguide.com/business-case-for-project.htm (Business Case)
- http://www.managementstudyguide.com/assembling-project-charter.htm (Project Charter)
- http://www.managementstudyguide.com/what-are-metrics.htm (What are metrics)
- http://www.managementstudyguide.com/primary-metric.htm (Primary metrics)
- http://www.managementstudyguide.com/secondary-metric.htm (Secondary metrics)
- http://www.isixsigma.com/methodology/balanced-scorecard/develop-correct-six-sigma-project-metrics/
- http://www.managementstudyguide.com/measuring-financial-benefits-of-six-sigma.htm
- http://www.mathsisfun.com/money/net-present-value.html (PV, FV and NPV)
- http://books.google.com/books?id=yL7MBbUbKQQC&pg=PA32&lpg=PA32&dq=financial+measures+roi+npv+margin+six+sigma&source=bl&ots=vc02tFvRED&sig=41AyTeGBGBLrcnVdJiVHqtV2KrE&hl=en&sa=X&ei=9vKoUe0LkajQAcaxgKAH&ved=0CDIQ6AEwAQ#v=onepage&q=financial%20measures%20roi%20npv%20margin%20six%20sigma&f=false
- https://elms.faa.gov/skillsoft/Content/oper_12_a02_bs_enusA1.htm#ExpectedDuration (ROI, PV, Cost Benefit, Margin, Revenue Growth, Revenue)
- http://www.mathsisfun.com/money/net-present-value.html (PV, FV and NPV)
1.4 The Lean Enterprise
1.4.1 Understanding Lean
- http://leanmanufacturingtools.org/39/lean-thinking-lean-principles/
- http://leanmanufacturingtools.org/71/muda-mura-and-muri-lean-manufacturing-wastes/
1.4.3 Lean & Six Sigma
http://en.wikipedia.org/wiki/Lean_Six_Sigma
1.4.4 The Seven Elements of Waste
a. Overproduction, Correction, Inventory, Motion, Overprocessing, Conveyance, Waiting.
- http://leanimprovement.blogspot.com/2012/04/tim-woods-7-1-wastes-taken-from-toyota.html
- http://leanmanufacturingtools.org/77/the-seven-wastes-7-mudas/
- http://www.lean.org/Common/LexiconTerm.aspx?termid=324&height=550&width=700
a. Straighten, Shine, Standardize, Self-Discipline, Sort
2.0 Measure Phase
2.1 Process Definition
2.1.1 Cause & Effect / Fishbone Diagrams
2.1.2 Process Mapping, SIPOC, Value Stream Map
- http://www.six-sigma-material.com/Process-Maps.html (Process map)
- http://www.dummies.com/how-to/content/how-to-break-down-process-flow-for-a-six-sigma-ini.html (Process map)
- http://www.breezetree.com/article-excel-flowchart-shapes.htm (Detailed process mapping)
- http://asq.org/service/body-of-knowledge/tools-sipoc (SIPOC)
- http://www.nwlean.net/toolsCD/VSM/4%20steps%20to%20VSM.pdf (VSM)
- http://www.six-sigma-material.com/Correlation-Matrix.html
- http://books.google.com/books?id=Yi7wpnL6kh0C&pg=PA92&lpg=PA92&dq=xy+matrix+diagram+six+sigma&source=bl&ots=boQQ3c0EAD&sig=yKMP5flZbwjfFl2JeV_uuRPR6Sk&hl=en&sa=X&ei=s3RtUbuOHofe4AP8ooC4Bw&sqi=2&ved=0CFsQ6AEwBw#v=onepage&q=xy%20matrix%20diagram%20six%20sigma&f=false
2.2 Six Sigma Statistics
2.2.1 Basic Statistics
- http://www.six-sigma-material.com/Data-Classification.html (Data classification)
- http://www.micquality.com/six_sigma_glossary/analytical_descriptive_statistics.htm(Descriptive vs. inferential statistics)
- http://www.six-sigma-material.com/Central-Tendency.html (Measures of central tendency)
- http://www.six-sigma-material.com/Measures-of-Dispersion.html (Measures of dispersion)
- http://www.six-sigma-material.com/Normal-Distribution.html (Normal distribution)
- http://www.qimacros.com/hypothesis-test/data-normality-test/ (Normality test)
- http://people.richland.edu/james/lecture/m170/ch12-int.html (Chi squared distribution)
- http://people.richland.edu/james/lecture/m170/ch13-f.html (F distribution)
- http://www.free-six-sigma.com/lognormal-distribution.html (Lognormal distribution)
- http://www.weibull.com/hotwire/issue14/relbasics14.htm (Weibull distribution)
- http://www.processma.com/resource/graphical_analysis.htm
- http://sixsigmaimprovements.blogspot.com/2012/05/graphical-analysis.html
2.3 Measurement System Analysis
2.3.1 Precision & Accuracy
2.3.2 Bias, Linearity & Stability
2.3.3 Gage Repeatability & Reproducibility
- http://world-class-quality.com/images/article/20081125225625_MSA%20QW%20Dec06%20article.pdf
- http://www.pdfsixsigma.com/support-files/2.3.4_Variable_and_Attribute_MSA.pdf
- http://www.conceptmachine.com/files/zeiss/GR&R%20Studies.pdf
- http://www.micquality.com/six_sigma_glossary/precision_tolerance_ratio.htm (P/T)
- http://www.qualitytrainingportal.com/resources/msa/attribute_measurements.htm
- http://www.miconleansixsigma.com/kappa-statistic.html (Kappa)
2.4 Process Capability
2.4.1 Capability Analysis
- http://www.processma.com/resource/capability_analysis.htm
- http://www.clothingtraining.org.hk/webpage/hkrita-psm/TrainingMaterials/Process%20Capability.pdf
- http://www.isixsigma.com/tools-templates/capability-indices-process-capability/cp-cpk-pp-and-ppk-know-how-and-when-use-them/
2.4.3 Attribute & Discrete Capability
2.4.4 Monitoring Techniques
- See Statistical Process Control
3.0 Analyze Phase
3.1 Patterns of Variation
- http://0dev.blog.com/2011/06/21/all-about-positional-cyclical-and-temporal-variations/Positional (within unit/sample), Cyclical (part to part) and Temporal (time to time)
3.1.2 Classes of Distributions
- http://www.isixsigma.com/tools-templates/statistical-analysis/understanding-statistical-distributions-six-sigma/ (Statistical distributions)
- http://www.six-sigma-material.com/Binomial-Distribution.html (Binomial distribution)
- http://www.six-sigma-material.com/Poisson-Distribution.html (Poisson distribution)
- http://www.six-sigma-material.com/Hypergeometric-Distribution.html (Hypergeometric distribution)
- http://www.six-sigma-material.com/Uniform-Distribution.html (Uniform distribution)
- http://www.public.iastate.edu/~riczw/stat330s11/lecture/lec13.pdf (Exponential distribution)
- http://stattrek.com/probability-distributions/t-distribution.aspx (T student distribution)
- http://www.isixsigma.com/tools-templates/normality/tips-recognizing-and-transforming-non-normal-data/ (Non-normal distributions)
- http://www.minitab.com/en-US/training/tutorials/accessing-the-power.aspx?id=1706&lang (Identify data distribution with minitab)
3.2 Inferential Statistics
3.2.1 Understanding Inference
3.2.2 Sampling Techniques & Uses
- http://www.six-sigma-material.com/Samples.html
- http://www.micquality.com/six_sigma_glossary/sampling_methods.htm
- http://www.isixsigma.com/tools-templates/sampling-data/how-determine-sample-size-determining-sample-size/ (Determine sample size)
- http://changingminds.org/explanations/research/sampling/choosing_sampling.htm (More about sampling)
3.3 Hypothesis Testing
3.3.1 General Concepts & Goals of Hypothesis Testing
3.3.2 Significance; Practical vs. Statistical
3.3.3 Risk; Alpha & Beta
- See 3.3.1
- http://www.six-sigma-material.com/Alpha-and-Beta-Risks.html
- http://apcentral.collegeboard.com/apc/members/courses/teachers_corner/22815.html (Power 1-Beta)
- https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=2&cad=rja&ved=0CDIQFjAB&url=http%3A%2F%2Fwww.opensourcesixsigma.com%2Fv%2Fvspfiles%2Fassets%2Fimages%2Fsample%2520-%2520lss%2520black%2520belt%2520course%252010.ppt&ei=2qmwUcq0OKLE0QHlpYCIDA&usg=AFQjCNFpkDg-OUoSuzjN0ojFtU7xu8R3hA&bvm=bv.47534661,d.dmQ (Sampling and power)
- http://www.bmgi.org/sites/bmgi.org/files/Hypothesis_Testing_Roadmap.pdf
- http://changingminds.org/explanations/research/analysis/parametric_non-parametric.htm (Parametric vs. non-parametric tests)
- http://www.isixsigma.com/tools-templates/hypothesis-testing/hypothesis-testing-fear-no-more/ (Choose a hypothesis test)
3.4 Hypothesis Testing with Normal Data
- http://www.sixsigmadaily.com/methodology/hypothesis-testing-decision-tree (Decision tree)
- http://www.sixsigmadaily.com/methodology/hypothesis-testing-decision-tree (Hypothesis testing with Normal Data decision tree)
- http://www.cliffsnotes.com/math/statistics/univariate-inferential-tests/one-sample-z-test (One sample Z test)
- http://www.cliffsnotes.com/math/statistics/univariate-inferential-tests/one-sample-t-test (One sample T test)
- http://www.cliffsnotes.com/math/statistics/univariate-inferential-tests/two-sample-z-test-for-comparing-two-means (Two sample Z test for comparing two means)
- http://www.cliffsnotes.com/math/statistics/univariate-inferential-tests/two-sample-t-test-for-comparing-two-means (Two sample T test for comparing two means / DF for separate s: the smaller of n 1– 1 and n 2– 1 DF for pooled s: df = n 1+ n 2– 2)
- http://apcentral.collegeboard.com/apc/members/courses/teachers_corner/49013.html (Why to pool variances)
- http://www.cliffsnotes.com/math/statistics/univariate-inferential-tests/paired-difference-t-test (Paired T test)
- http://www.itl.nist.gov/div898/handbook/eda/section3/eda358.htm (Chi squared test for the variance)
- http://people.richland.edu/james/lecture/m113/f_test.html (F test for Equality of two variances)
- http://psychnut.com/statistics/even-more-about-1-way-anova/
- http://www.psychstat.missouristate.edu/introbook/sbk27.htm (ANOVA detailed)
- http://people.richland.edu/james/lecture/m170/ch08-n.html (Sample size calculation)
3.5 Hypothesis Testing with Non-Normal Data
- http://www.micquality.com/6sigma101/glossary/nonparametric_tests.htm (List of non-parametric tests)
- http://www.isixsigma.com/tools-templates/hypothesis-testing/making-sense-mann-whitney-test-median-comparison/ (Similar to 2 sample T test)
- http://udel.edu/~mcdonald/statkruskalwallis.html (Similar to Anova)
3.5.4 Friedman
- http://www.statisticslectures.com/topics/friedman/ (Uses Chi squared table for critical value)
3.5.6 1 Sample Wilcoxon
3.5.7 One and Two Sample Proportion
- http://www.cliffsnotes.com/math/statistics/univariate-inferential-tests/test-for-a-single-population-proportion (Z test for a single population proportion)
- http://www.cliffsnotes.com/math/statistics/univariate-inferential-tests/test-for-comparing-two-proportions (Z test for a comparing two proportions)
http://math.hws.edu/javamath/ryan/ChiSquare.html
a. Including Tests of Equal Variance, Normality Testing and Sample Size calculation,performing tests and interpreting results.
- http://en.wikipedia.org/wiki/Levene's_test (Levene's test of equal variances)
4.0 Improve Phase
4.1 Simple Linear Regression
4.1.1 Correlation
4.1.2 Regression Equations
- See 4.1
- http://books.google.com/books?id=0yR4KUL4VDkC&pg=PA33&lpg=PA33&dq=extrapolate+beyond+regression+analysis+model&source=bl&ots=p3rqykeXzj&sig=7-YUJ38D_sN1B7sgsC9XqDM387U&hl=en&sa=X&ei=SjXLUbblEMq70QG3pYDICw&ved=0CD4Q6AEwAw#v=onepage&q=extrapolate%20beyond%20regression%20analysis%20model&f=false (Extrapolation beyond a regression model)
- http://people.duke.edu/~rnau/testing.htm (Regression assumptions)
- https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=3&ved=0CDsQFjAC&url=http%3A%2F%2Fwww.southalabama.edu%2Fmathstat%2Fpersonal_pages%2Fnmishra%2FST540%2FHow%2520to%2520interprete%2520the%2520minitab%2520output%2520of%2520a%2520regression%2520analysis.doc&ei=UjHLUeSCBoqw0AGqwIGoDA&usg=AFQjCNGRQHXwQvWCnaxvon4NBGWmptBhVA (Regression output interpretation in Minitab)
4.2 Multiple Regression Analysis
4.2.1 Non- Linear Regression
4.2.2 Multiple Linear Regression
4.2.3 Confidence & Prediction Intervals
- http://www.cliffsnotes.com/math/statistics/bivariate-relationships/simple-linear-regression (Find at the end)
- See 4.1.3
4.3 Designed Experiments
4.3.1 Experiment Objectives
- https://elms.faa.gov/skillsoft/Content/oper_17_a01_bs_enusA1.htm
- https://elms.faa.gov/skillsoft/Content/OPER0211A1.htm
- https://elms.faa.gov/skillsoft/Content/oper_09_a01_bs_enusA1.htm
- See 4.3.1
- http://asq.org/learn-about-quality/data-collection-analysis-tools/overview/design-of-experiments-tutorial.html (Main effects and interactions calcutlation)
- http://www.weibull.com/hotwire/issue84/hottopics84.htm (screening, optimization and robusteness)
4.4 Full Factorial Experiments
4.4.1 2k Full Factorial Designs
4.4.2 Linear & Quadratic Mathematical Models
- http://www.itl.nist.gov/div898/handbook/pri/section1/pri11.htm
- http://www.itl.nist.gov/div898/handbook/pri/section3/pri336.htm
- http://www.micquality.com/six_sigma_glossary/balanced_design.htm (Balanced design)
- http://www.minitab.com/support/documentation/answers/What%20is%20Orthogonality.pdf (Orthogonality)
4.5 Fractional Factorial Experiments
4.5.1 Designs
- See 4.4
- http://course.tju.edu.cn/quality/manager/file/com/1237712443W9Gjt4.PDF (Steepest ascent method response surface analysis)
- See 4.4
- See 4.4
5.0 Control Phase
5.1 Lean Controls
5.1.1 Control Methods for 5S
5.1.2 Kanban
5.1.3 Poka-Yoke (Mistake Proofing)
5.2 Statistical Process Control (SPC)
- https://elms.faa.gov/skillsoft/Content/oper_09_a03_bs_enusA1.htm
- http://www.distributive.com/control-chart-and-spc.php
- http://en.wikipedia.org/wiki/Common_cause_and_special_cause_(statistics) (common cause and special cause variation)
5.2.2 I-MR Chart
- http://www.statit.com/services/SPCOverview_mfg.pdf
- http://www.six-sigma-material.com/SPC-Charts.html
5.2.4 U Chart
5.2.5 P Chart
5.2.6 NP Chart
5.2.7 X-S chart
5.2.8 CumSum Chart
- http://v5.books.elsevier.com/bookscat/samples/9780750665292/9780750665292.PDF
- http://www.integral-concepts.com/docs/What%20is%20a%20CUSUM%20Chart%20and%20When%20Should%20I%20Use%20One.pdf
- http://www.qualityamerica.com/Knowledgecenter/statisticalprocesscontrol/when_to_use_an_ewma_chart.asp
- http://www.minitab.com/uploadedFiles/Shared_Resources/Documents/Articles/ewma_control_charts.pdf
- http://www.itl.nist.gov/div898/handbook/pmc/section3/pmc324.htm
5.2.11 Control Chart Anatomy
- http://en.wikipedia.org/wiki/Western_Electric_rules
- http://en.wikipedia.org/wiki/Nelson_rules
- https://elms.faa.gov/skillsoft/Content/player/OPER0222/output/html/jop0222a.htm
- http://www.qualityamerica.com/Knowledgecenter/statisticalprocesscontrol/rational_subgroups.asp (Rational subgroups)
- https://www.moresteam.com/toolbox/statistical-process-control-spc.cfm
- http://www.qualityamerica.com/Knowledgecenter/statisticalprocesscontrol/tampering.asp (Tampering)
5.3 Six Sigma Control Plans
5.3.1 Cost Benefit Analysis
- http://www.dummies.com/how-to/content/performing-a-costbenefit-analysis.html
- http://www.mathsisfun.com/money/net-present-value.html
5.3.3 Elements of the Response Plan