Lean Six Sigma 100%

Yellow Belt · Define phase

Lesson 2: Processes, CTQs, cost of poor quality, Pareto, and the basic metrics

IASSC Body of Knowledge 1.2, The Fundamentals of Six Sigma · 14 practice questions

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Lesson 1 covered what Six Sigma is and who runs it. This lesson covers the working vocabulary every belt uses to describe a process and measure how badly, or how well, it is performing: what a process actually is, what "critical to quality" means, what poor quality costs, how to find the few problems worth chasing first, and the handful of metrics that show up on nearly every Six Sigma project.

A Pareto chart of five defect categories with a cumulative percentage line Five causes, A through E, ranked from most to least frequent: A accounts for 40 percent, B 25 percent, C 15 percent, D 12 percent, and E 8 percent. The cumulative line shows that A and B alone already account for 65 percent of the total, showing how a few causes dominate. 40% Cause A 25% Cause B 15% Cause C 12% Cause D 8% Cause E 40% 65% 80% 92% 100% Bars: frequency of each cause. Line: cumulative percent of the total.
A Pareto chart: bars ranked largest to smallest with a cumulative percentage line. Here, Causes A and B alone already account for 65 percent of the problem, the vital few worth attacking first.

Defining a process

A process is any set of activities that takes inputs and turns them into an output for a customer, internal or external. Every process can be described the same way: it has suppliers, inputs, a process, outputs, and customers, an ordering usually shortened to SIPOC, covered fully as a mapping tool in Lesson 5. At this stage, the point is simpler: a process is observable, repeatable, and measurable, which is exactly what makes it improvable. A one-time event is not a process. A recurring activity with identifiable steps, inputs, and outputs is.

Critical to Quality characteristics (CTQs)

A CTQ is a measurable characteristic of a product or process whose performance standards must be met to satisfy the customer. CTQs translate a vague customer requirement, such as "the report needs to be fast," into something a team can actually measure and improve, such as "the report must be delivered within two business days of request, at least 95 percent of the time." Every Six Sigma project needs at least one clearly defined CTQ, because without one there is no way to know objectively whether the project succeeded.

Cost of Poor Quality (COPQ)

Cost of Poor Quality is the total cost an organization incurs because its process, product, or service was not done right the first time. COPQ is usually broken into categories: internal failure costs, caught before the customer sees them, such as rework and scrap; external failure costs, caught after the customer sees them, such as complaints, returns, and warranty claims, which are typically far more expensive than internal failures; appraisal costs, spent finding defects, such as inspection; and prevention costs, spent avoiding defects in the first place, such as training and process design. COPQ is one of the most persuasive tools a Yellow Belt has for building a business case, because it translates a quality problem directly into a dollar figure leadership can act on.

Pareto analysis, the 80:20 rule

Pareto analysis is built on the observation, generalized from economist Vilfredo Pareto's original study of wealth distribution, that a small proportion of causes is typically responsible for a large proportion of effects, commonly stated as roughly 80 percent of the problem coming from roughly 20 percent of the causes. A Pareto chart is a bar chart of defect or cost categories ranked from largest to smallest, usually with a cumulative percentage line overlaid, that makes the vital few causes visually obvious against the trivial many. The tool's purpose is prioritization: a team with limited time should attack the tallest bars first, not spread effort evenly across every category with equal weight.

The basic Six Sigma metrics

A handful of metrics recur constantly across Six Sigma projects, and a Yellow Belt needs to know what each one measures and, at a basic level, how it is calculated:

  • DPU, Defects Per Unit. The total number of defects found divided by the total number of units produced. A batch of 100 units with 8 total defects found across them has a DPU of 0.08. Note that DPU counts defects, not defective units; a single unit can have more than one defect.
  • DPMO, Defects Per Million Opportunities. DPU scaled to a common, comparable basis: the number of defects divided by the number of units times the number of opportunities for a defect per unit, multiplied by one million. DPMO is what allows a process making one product with five defect opportunities per unit to be compared fairly against a process making a very different product with twenty opportunities per unit.
  • FTY, First Time Yield. The percentage of units that pass through a single process step correctly the first time, with no rework, scrap, or correction needed. A step that produces 100 units, of which 92 pass with no rework, has an FTY of 92 percent.
  • RTY, Rolled Throughput Yield. The probability that a unit will pass through every step of a multi-step process with zero defects at any step, calculated by multiplying the FTY of each individual step together. A three-step process with FTYs of 95 percent, 90 percent, and 98 percent has an RTY of 0.95 times 0.90 times 0.98, about 83.8 percent, well below any single step's own yield. RTY is why a process can have every individual step looking healthy and still deliver a poor overall result: the multiplication compounds every step's imperfection.
  • Cycle Time. The total elapsed time for one unit to move from the start of a process to its completion. (Some Lean texts reserve cycle time for the time between finished units at one step, and use lead time for a customer's wait from request to delivery; this course uses the start-to-completion meaning.) Cycle time is frequently the Y in a Lean Six Sigma project aimed at Lean's core goal of eliminating wasted time, covered in Lesson 4.

These five metrics are not independent trivia. They are the standard language a Yellow Belt uses to describe how a process is performing before a project ever tries to change it, and the Measure phase lessons later in this course build directly on them.

Why this matters

Questions on RTY often give you two or three step yields and expect you to multiply, not average, them. If a question offers averaging as an answer choice, it is usually the trap.

Practice questions

1. What combination of characteristics makes an activity a "process" in the Six Sigma sense?

  1. It involves no customer, internal or external
  2. It cannot be described in terms of inputs and outputs
  3. It happens only once and is never repeated
  4. It is observable, repeatable, and measurable

2. What is a CTQ?

  1. A synonym for Cost of Poor Quality, the total dollar cost of rework and warranty claims
  2. A category on a Pareto chart
  3. A measurable characteristic whose performance standard must be met to satisfy the customer
  4. The final summary report and control plan delivered at the end of a DMAIC project, signed by the sponsor

3. Which category of Cost of Poor Quality is typically the most expensive?

  1. Appraisal costs
  2. Internal failure costs
  3. Prevention costs
  4. External failure costs

4. Pareto analysis is built on which general observation?

  1. Defects are always spread evenly across categories, so no ranking is useful
  2. The largest category on a chart is always the least important, so effort should start with the smallest
  3. A small share of causes typically drives a large share of effects, roughly 80:20
  4. All causes contribute equally to a problem

5. A batch of 100 units has 8 total defects found across them. What is the DPU?

  1. 800
  2. 0.8
  3. 0.08
  4. 8

6. What does DPMO allow that DPU alone does not?

  1. It puts processes with different numbers of defect opportunities per unit onto a common, comparable scale
  2. It eliminates the need to count defects at all
  3. It measures cycle time instead of defects
  4. It only applies to services, never to manufactured products

7. A process step produces 100 units, of which 92 pass with no rework, scrap, or correction. What is the First Time Yield for that step?

  1. 100 percent
  2. 92 percent
  3. It cannot be calculated from this information
  4. 8 percent

8. A three-step process has FTYs of 95 percent, 90 percent, and 98 percent at its three steps. How is Rolled Throughput Yield calculated from these?

  1. By averaging the three FTYs
  2. By multiplying the three FTYs together
  3. By adding the three FTYs together
  4. By taking only the lowest of the three FTYs

9. Why can a multi-step process have every individual step looking healthy and still deliver a poor overall result?

  1. Because Cost of Poor Quality is always understated
  2. Because Pareto charts average defects across steps and hide multi-step effects
  3. Because RTY multiplies each step's imperfection, compounding small losses
  4. Because FTY and RTY are unrelated metrics

10. Cycle time measures which of the following?

  1. The number of defects per million opportunities
  2. The percentage of units passing a step without rework
  3. The cost of appraisal activities
  4. The total elapsed time for one unit to move from the start of a process to its completion

11. GCHS's construction management team inspects a batch of 250 completed punch-list items and finds 20 total defects across the batch, with 5 opportunities for a defect on each item. What is the DPMO for this batch?

  1. 16,000
  2. 8,000
  3. 80,000
  4. 800

12. GCHS reviews six months of rework requests on rehab projects and finds that two causes, missing measurements before ordering materials and subcontractor no-shows, account for most of the total rework hours logged. Which tool applies here, and what does it tell the team to do?

  1. A SIPOC; redefine the customer of the process
  2. A control chart; ignore the two dominant causes and monitor the process for variation instead
  3. An FMEA; assign a Risk Priority Number to each subcontractor
  4. A Pareto chart; focus effort on the vital few causes behind most of the effect

13. Money GCHS spends inspecting completed rehab work before it is turned over to the homeowner, specifically to catch defects before they reach the customer, falls into which Cost of Poor Quality category?

  1. Appraisal cost
  2. Internal failure cost
  3. External failure cost
  4. Prevention cost

14. A GCHS project aimed at reducing the number of days between a homeowner's work request and completed repair is most likely tracking which metric as its primary Y?

  1. DPMO
  2. Cycle time
  3. Cost of Poor Quality category totals
  4. Rolled Throughput Yield

Glossary

Process
Any set of activities that takes inputs and turns them into an output for a customer; observable, repeatable, and measurable.
CTQ (Critical to Quality)
A measurable characteristic of a product or process whose performance standard must be met to satisfy the customer.
COPQ (Cost of Poor Quality)
The total cost an organization incurs because a process, product, or service was not done right the first time, split into internal failure, external failure, appraisal, and prevention costs.
Pareto Chart
A bar chart of defect or cost categories ranked largest to smallest, usually with a cumulative percentage line, used to find the vital few causes worth attacking first.
DPU (Defects Per Unit)
Total defects found divided by total units produced.
DPMO (Defects Per Million Opportunities)
Defects divided by (units times opportunities per unit), scaled to one million, for comparing processes fairly.
FTY (First Time Yield)
The percentage of units that pass a single process step correctly the first time with no rework, scrap, or correction.
RTY (Rolled Throughput Yield)
The probability a unit passes every step of a multi-step process with zero defects, found by multiplying each step's FTY together.
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