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DMAIC (Six Sigma Problem Solving)

When to use

Use DMAIC when:

  • A problem has recurred multiple times despite previous corrective actions
  • The process needs measurable, data-driven capability improvement (Cpk improvement target)
  • The root cause is unknown and requires statistical analysis to identify
  • A customer requires a Six Sigma approach or asks for a DMAIC report
  • The improvement opportunity involves eliminating chronic waste (rework, scrap, test failures)

Use 8D instead when: The problem is a single customer complaint, an escape to the field, or requires immediate containment. 8D is reactive and fast. DMAIC is proactive and thorough — it takes weeks to months.

Use PDCA instead when: The improvement is incremental and the root cause is already known or assumed.

Prerequisites

  • A defined problem with measurable impact (reject rate, Cpk, scrap cost, defect count)
  • Baseline data available or collectable
  • Process owner and cross-functional team assigned
  • Management support and a time budget (minimum 4–12 weeks depending on project scope)

Workflow

Phase 1 — DEFINE

Objective: Define the problem, the scope, the team, and the goal in measurable terms.

Key tools and deliverables:

Project Charter — The DMAIC starts and ends here. Contains:

  • Problem statement: what is happening, where, since when, how much (measured impact)
  • Goal statement: specific, measurable target (e.g., "Reduce connector reject rate from 3.2% to 0.5% by Q3")
  • Scope: what is IN and OUT of scope (use Is/Is-Not to define boundaries)
  • Business case: financial or customer impact ($, PPM, warranty cost)
  • Team: Champion, Black Belt/Green Belt, process owner, operators, engineering

SIPOC diagram:

  • Suppliers → Inputs → Process → Outputs → Customers
  • Defines the process at a high level before diving into detail
  • Identifies all inputs that could affect the output (Y)

Voice of the Customer (VOC) → CTQ:

  • What does the customer care about? (VOC)
  • Translate to a measurable Critical to Quality (CTQ) characteristic
  • The CTQ becomes the Y (output) the project will improve

Gate criteria to exit Define:

  • Problem is specific and measurable
  • Goal is agreed with the Champion
  • Scope is bounded
  • Team is assigned and available

Phase 2 — MEASURE

Objective: Establish the current baseline and validate the measurement system.

Key tools and deliverables:

Process map (detailed):

  • Map every step of the process as it IS (not as it should be)
  • Identify where defects are created or detected
  • Mark each step: Value-Added (VA), Non-Value-Added (NVA), or Required Non-Value-Added

Data collection plan:

  • What will be measured? (the Y and key process inputs Xs)
  • How will it be measured? (gauge, method)
  • How many samples? (for capability: minimum 100 pieces)
  • Who will collect data? When? Where?

MSA (Gauge R&R):

  • Validate the measurement system for the CTQ before collecting data
  • %GRR < 30% required; <10% preferred
  • If measurement system is inadequate: fix it before proceeding

Baseline capability:

  • Calculate current Cpk/Ppk for the CTQ
  • Establish current defect rate (PPM or %)
  • This baseline is the MEASURE gate deliverable — do not proceed without it

Gate criteria to exit Measure:

  • Baseline Cpk/PPM established with statistical confidence
  • MSA complete and measurement system adequate
  • Data collection plan executed with sufficient data

Phase 3 — ANALYZE

Objective: Identify and confirm the root cause(s) of the problem using data.

Key tools and deliverables:

Fishbone / Cause & Effect diagram:

  • Brainstorm potential causes using 6M (Man, Machine, Method, Material, Measurement, Mother Nature)
  • All potential causes are hypotheses at this stage — none are confirmed

Is/Is-Not analysis:

  • Scope the problem precisely — what IS affected vs. what IS NOT
  • Narrows the hypothesis list before investing in analysis

Multi-Vari study:

  • Understand whether variation is: positional (within-part), cyclical (part-to-part), or temporal (time-based)
  • Identifies the dominant family of variation — directs the investigation

Hypothesis testing:

Confirm or reject hypotheses statistically. Selection guide:

| Situation | Tool |

|-----------|------|

| Compare means of 2 groups (continuous Y, e.g., Shift A vs. B) | t-test (paired if same parts measured twice) |

| Compare means of 3+ groups (e.g., 3 machines, 4 operators) | One-way ANOVA |

| Categorical Y (pass/fail) vs. categorical X (supplier, shift) | Chi-square test |

| Continuous Y vs. continuous X (does temperature predict dimension?) | Pearson correlation; then regression to quantify |

| Multiple Xs affecting one Y | Multiple regression; confirm no multicollinearity |

Use p < 0.05 as the significance threshold unless a different risk level is warranted. Always check the test's assumptions (normality for t-test/ANOVA; independence for chi-square).

Root cause confirmation:

  • A root cause is NOT confirmed until data proves it
  • Reject "human error" as a root cause — it is a symptom; ask why the error was possible
  • Confirmed root causes: demonstrate that when the Xs change, the Y changes predictably

Gate criteria to exit Analyze:

  • Root cause(s) confirmed with data (not assumed)
  • Cause-and-effect quantified (Y = f(X) relationship established)
  • Team agrees on which Xs to improve

Phase 4 — IMPROVE

Objective: Develop, test, and implement solutions that address the confirmed root causes.

Key tools and deliverables:

Solution generation:

  • Brainstorm solutions for each confirmed root cause
  • Evaluate solutions: impact vs. effort vs. risk
  • Do NOT select solutions based on opinion — test them

Pilot / Design of Experiment (DOE):

  • Test the proposed solution on a small scale before full implementation
  • DOE: systematically vary multiple factors to find the optimal process settings
  • Simple experiments: OFAT (One Factor At A Time) for straightforward improvements

Solution validation:

  • Run a production pilot with the solution in place
  • Collect data: does the Y improve as predicted?
  • Calculate new Cpk/PPM — compare to baseline and goal

Implementation plan:

  • Who does what, by when, to implement the solution at full scale
  • Change management: update Process Flow, PFMEA, Control Plan, Work Instructions, training

Gate criteria to exit Improve:

  • Solution tested and statistically validated (not just "it seems better")
  • Cpk/PPM improvement demonstrated in pilot data
  • Implementation plan complete and approved

Phase 5 — CONTROL

Objective: Sustain the gains — prevent the process from reverting to the old state.

Key tools and deliverables:

Updated Control Plan:

  • Add new controls for the Xs identified in Analyze
  • Define monitoring frequency and reaction plan for out-of-control conditions

SPC / Statistical monitoring:

  • Install control charts on the critical Xs and the Y
  • Set control limits from the improved process data
  • Define who monitors and how often

Updated PFMEA:

  • New failure modes identified during the project must be added
  • Controls added in Improve must be reflected in the PFMEA current controls column

Updated Work Instructions:

  • Document the new process steps, settings, or behaviours required
  • Train operators and verify understanding

Mistake-proofing (Poka-yoke):

  • For any root cause that was behavioural or procedural: add error-proofing to prevent recurrence
  • Error-proofing is the highest-reliability control — prefer it over inspection or SPC alone

Project handover:

  • Transfer ownership from the project team to the process owner
  • Establish a 3–6 month monitoring period with defined Cpk targets; specify the minimum Cpk that constitutes "sustained improvement" (e.g., Cpk ≥ 1.33 for a minimum of 3 consecutive months of production data — not 3 months of calendar time)
  • Close the project only when the monitoring criterion is met with actual production data — not lab data or pilot data

Final project report:

  • Before and after: Cpk, PPM, financial savings
  • Lessons learned for future projects

Gate criteria to close the project:

  • Cpk/PPM goal achieved and sustained for minimum 3 months post-implementation
  • All documents updated (PFMEA, CP, WIs)
  • Process ownership transferred to process owner
  • Financial benefits validated by Finance (if business case required it)

DMAIC vs. 8D — quick reference

| Dimension | 8D | DMAIC |

|-----------|-----|-------|

| Trigger | Customer complaint, single escape | Recurring problem, capability gap |

| Timeline | Days to weeks | Weeks to months |

| Root cause method | 5-Why, Fishbone | Hypothesis testing, statistical analysis |

| Output | Corrective action to prevent recurrence | Optimised process with sustained capability |

| Standards | ISO 9001 §10.2, IATF 16949 §10.2.3 | ISO 9001 §10.3, IATF 16949 §10.1 |

Validation criteria

A DMAIC project is complete when:

  • Baseline and improved Cpk/PPM both quantified with data
  • Root causes confirmed statistically (not assumed)
  • Solution validated in a pilot before full implementation
  • PFMEA, Control Plan, and Work Instructions updated
  • Improved Cpk sustained for minimum 3 months post-implementation
  • Financial or quality benefit measured and reported

Common mistakes

  • Jumping to Improve before confirming root cause (the most common DMAIC failure)
  • Not performing MSA before collecting baseline data — baseline may be measurement noise
  • Selecting the solution in Define before data analysis — biases the entire project
  • Closing the project at Implementation without monitoring for sustainability
  • Not updating PFMEA and Control Plan — process reverts within months
  • Using DMAIC for a single-event problem that needs 8D containment first

Output Format

At the start of each use, ask the user:

> "How would you like to receive the output?

> A — Structured Markdown (formatted tables and sections, ready to copy)

> B — Plain tables (simplified structure for Excel or Word)

> C — Narrative report (flowing text for a formal document or email)

>

> Default: A."

Adapt all output sections to the chosen format. If the platform or session context already defines a format preference, skip this question.

Changelog

| Version | Date | Author | Change |

|---------|------|--------|--------|

| 1.0 | 2026-06-06 | @RBraga01 | Initial release |

| 1.1 | 2026-06-06 | @migmcc | Added hypothesis test selection guide in Phase 3; added monitoring period closure criteria in Phase 5 (Cpk sustained on production data, not pilot) |

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