LPSCE study materials
LPSCE study resources

LPSCE cheat sheet

LPSCE · Keep the key ideas within reach.

Quick reference

Lean Principles and Waste Elimination

  • Five Lean principles in order: specify value, map the value stream, create flow, establish pull, pursue perfection.

  • TIMWOODS lists the eight wastes: Transportation, Inventory, Motion, Waiting, Overproduction, Overprocessing, Defects, Skills underutilized.

  • Overproduction is ranked as the most damaging waste because it hides and generates the other seven.

  • Value-added test: the customer must pay for it, it must transform the product or information, and it must be done right the first time.

  • Takt time = available production time / customer demand; cycle time above takt time means capacity is short.

  • Little's Law: WIP = throughput x flow time; reducing WIP shortens lead time at constant throughput.

  • 5S sequence: Sort, Set in order, Shine, Standardize, Sustain; Sustain is the step that fails most often.

  • Pull systems authorize work with kanban; a kanban card is a replenishment signal, not a work order and not a schedule.

  • Value stream map measures both process time and lead time; PCE (process cycle efficiency) = value-added time / total lead time.

Quick reference

Six Sigma Fundamentals and DMAIC

  • Six Sigma statistically targets 3.4 defects per million opportunities (DPMO) in the long term, allowing a 1.5 sigma process shift.

  • Sigma level from DPMO: 2 sigma ~308,537; 3 sigma ~66,807; 4 sigma ~6,210; 5 sigma ~233; 6 sigma ~3.4.

  • DPMO = (defects / (units x opportunities per unit)) x 1,000,000; yield = 1 - DPMO/1,000,000.

  • Rolled throughput yield multiplies the yields of each step; it is always less than or equal to the lowest single-step yield.

  • DMAIC phases: Define, Measure, Analyze, Improve, Control; each gate requires a tollgate review before proceeding.

  • A defect is any output outside specification; a unit can carry multiple defect opportunities, so count them explicitly.

  • Cp compares specification width to process spread (USL-LSL)/6sigma; Cpk additionally penalizes off-center processes.

  • Six Sigma uses data and statistics to reduce variation; Lean uses flow and waste removal to reduce lead time; Lean Six Sigma combines both.

  • DMADV (Design for Six Sigma) applies when no process exists or redesign is required; DMAIC applies to existing processes.

Quick reference

Define Phase: Project Chartering and Voice of the Customer

  • Charter elements: business case, problem statement, goal statement, scope, team, timeline, and expected benefit.

  • Problem statement rules: measurable, time-bounded, no cause and no solution stated.

  • SMART goal: Specific, Measurable, Achievable, Relevant, Time-bound, with baseline and target quantified.

  • VOC to CTQ flow: collect verbatim customer comments, group into needs (Kano or affinity), translate into measurable CTQs.

  • Kano model categories: must-be, performance, and delighter; must-be gaps cause dissatisfaction but do not delight.

  • SIPOC maps Suppliers, Inputs, Process, Outputs, Customers at a high level; it is a scope-setting tool, not a detailed flowchart.

  • Stakeholder analysis plots influence against interest; high influence and high interest require active management.

  • Project scope should be bounded by a clear start and stop point; scope creep is controlled through a change log.

Quick reference

Measure Phase: Data Collection, MSA, and Process Capability

  • Data types: continuous (variable) allows more powerful statistics; discrete (attribute) requires larger samples.

  • MSA components: accuracy (bias, linearity, stability) and precision (repeatability, reproducibility).

  • Gage R&R rule: under 10% of tolerance acceptable, 10-30% conditional, over 30% unacceptable; ndc should be 5 or more.

  • Repeatability is equipment variation from one appraiser; reproducibility is appraiser variation between operators.

  • Process capability requires a stable process in statistical control; computing Cpk on an unstable process is invalid.

  • Cp = (USL - LSL)/(6 sigma); Cpk = min(USL - mean, mean - LSL)/(3 sigma).

  • Ppk uses overall standard deviation and long-term data; Cpk uses within-subgroup sigma and short-term data.

  • Sample size for a mean: n = (z x sigma / margin of error)^2; doubling precision requires four times the sample.

  • Attribute agreement analysis and kappa measure how well appraisers agree beyond chance.

Quick reference

Analyze Phase: Root Cause Analysis and Hypothesis Testing

  • 5 Whys drills to root cause by asking why repeatedly; stop when the cause is actionable and systemic.

  • Fishbone (Ishikawa) categories: Man, Machine, Method, Material, Measurement, Environment (6M).

  • FMEA: RPN = Severity x Occurrence x Detection; higher RPN gets priority, but severity alone can force action.

  • Hypothesis test structure: H0 states no difference or no effect; H1 states the effect being tested for.

  • Type I error (alpha) rejects a true null; Type II error (beta) fails to reject a false null; power = 1 - beta.

  • p-value is the probability of observing data this extreme if H0 is true; p < alpha leads to rejecting H0.

  • Test selection: continuous data, two groups use t-test; three or more groups use ANOVA; discrete data use chi-square.

  • Normality is checked first (Anderson-Darling or Shapiro-Wilk); non-normal continuous data call for transformation or nonparametric tests.

  • Correlation measures association only; causation requires designed experiments or strong process knowledge.

Quick reference

Improve Phase: Solution Design, Lean Tools, and Pilot Testing

  • Solution selection matrix scores options against weighted criteria such as impact, cost, risk, and cycle time.

  • Poka-yoke prevents errors at the source; it is preferred over inspection because inspection is a non-value-added detection step.

  • Kaizen event is a focused, short-duration improvement burst, typically 3-5 days, on a bounded process.

  • SMED reduces changeover time by separating internal from external setup tasks.

  • DOE (Design of Experiments) varies factors together to estimate main effects and interactions with fewer runs.

  • Pilot testing uses a small-scale trial with defined success metrics before full rollout.

  • Standard work documents the current best method: takt time, work sequence, and standard in-process inventory.

  • Before/after comparison should use the same measurement system and statistically test the difference, not just compare averages.

  • Implementation plan elements: actions, owners, dates, resources, and a risk or failure-mode review.

Quick reference

Control Phase: SPC, Standard Work, and Sustainment

  • Control charts separate common-cause from special-cause variation; only special causes justify local intervention.

  • Xbar-R chart for subgroups of 2-9; Xbar-S for larger subgroups; I-MR for individual measurements.

  • p-chart for proportion defective; np-chart for count defective with constant sample; c-chart for defect counts per unit; u-chart for defects per unit with varying sample.

  • Western Electric rules: one point beyond 3 sigma, 2 of 3 beyond 2 sigma, 4 of 5 beyond 1 sigma, 8 in a row on one side of center.

  • Control limits come from process data, not from specification limits; specification limits belong to the customer.

  • Process in control but not capable means reduce variation or center the process; out of control means find and remove the special cause.

  • Control plan lists the characteristic, specification, measurement method, sample size, frequency, and reaction plan.

  • Standard work and visual management sustain gains; response plans must name who acts when a chart signals.

  • Project closure includes documented savings, updated procedures, and handoff of ownership to the process owner.

Quick reference

Project Management, Team Leadership, and Change Management

  • Project phases: initiation, planning, execution, monitoring and control, closure; a tollgate review follows each DMAIC phase.

  • RACI matrix assigns Responsible, Accountable, Consulted, Informed; only one person should be Accountable per task.

  • Critical path is the longest sequence of dependent tasks; it determines the minimum project duration.

  • Team stages: Forming, Storming, Norming, Performing, Adjourning.

  • Change curve stages: denial, resistance, exploration, commitment; resistance is expected and should be surfaced, not suppressed.

  • Kotter's change steps begin with creating urgency and building a guiding coalition, and end with anchoring changes in culture.

  • Effective team size for a Six Sigma project is typically 4-8 members with a trained Green or Black Belt lead.

  • Risk management: identify, assess probability and impact, plan response, monitor; maintain a risk register throughout.

  • Communication plan defines audience, message, channel, and frequency; sponsors remove barriers and secure resources.