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: 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?
It involves no customer, internal or external
It cannot be described in terms of inputs and outputs
It happens only once and is never repeated
It is observable, repeatable, and measurable
Answer: d. A process is observable, repeatable, and measurable, which is what makes it improvable. A one-time event is not a process.
2. What is a CTQ?
A synonym for Cost of Poor Quality, the total dollar cost of rework and warranty claims
A category on a Pareto chart
A measurable characteristic whose performance standard must be met to satisfy the customer
The final summary report and control plan delivered at the end of a DMAIC project, signed by the sponsor
Answer: c. A Critical to Quality characteristic is a measurable characteristic whose performance standard must be met to satisfy the customer, translating a vague requirement into something a team can measure.
3. Which category of Cost of Poor Quality is typically the most expensive?
Appraisal costs
Internal failure costs
Prevention costs
External failure costs
Answer: d. External failure costs, defects caught after the customer sees them, such as complaints and warranty claims, are typically far more expensive than internal failures caught before the customer sees them.
4. Pareto analysis is built on which general observation?
Defects are always spread evenly across categories, so no ranking is useful
The largest category on a chart is always the least important, so effort should start with the smallest
A small share of causes typically drives a large share of effects, roughly 80:20
All causes contribute equally to a problem
Answer: c. Pareto analysis is built on the generalization that a small proportion of causes, roughly 20 percent, is typically responsible for a large proportion of effects, roughly 80 percent.
5. A batch of 100 units has 8 total defects found across them. What is the DPU?
800
0.8
0.08
8
Answer: c. DPU is defects divided by units: 8 defects divided by 100 units equals 0.08 defects per unit.
6. What does DPMO allow that DPU alone does not?
It puts processes with different numbers of defect opportunities per unit onto a common, comparable scale
It eliminates the need to count defects at all
It measures cycle time instead of defects
It only applies to services, never to manufactured products
Answer: a. DPMO scales DPU by the number of opportunities per unit, per million, allowing fair comparison between processes with very different numbers of defect opportunities.
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?
100 percent
92 percent
It cannot be calculated from this information
8 percent
Answer: b. FTY is the percentage of units passing a step correctly the first time with no rework: 92 of 100 units, or 92 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?
By averaging the three FTYs
By multiplying the three FTYs together
By adding the three FTYs together
By taking only the lowest of the three FTYs
Answer: b. RTY is calculated by multiplying each step's FTY together: 0.95 times 0.90 times 0.98, about 83.8 percent, below any single step's own yield.
9. Why can a multi-step process have every individual step looking healthy and still deliver a poor overall result?
Because Cost of Poor Quality is always understated
Because Pareto charts average defects across steps and hide multi-step effects
Because RTY multiplies each step's imperfection, compounding small losses
Because FTY and RTY are unrelated metrics
Answer: c. Because RTY multiplies each step's FTY together, the small imperfection at each step compounds, so a process can look healthy step by step and still have a mediocre rolled throughput yield overall.
10. Cycle time measures which of the following?
The number of defects per million opportunities
The percentage of units passing a step without rework
The cost of appraisal activities
The total elapsed time for one unit to move from the start of a process to its completion
Answer: d. Cycle time is the total elapsed time for one unit to move from the start of a process to its completion, the basic speed metric.
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?
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?
A SIPOC; redefine the customer of the process
A control chart; ignore the two dominant causes and monitor the process for variation instead
An FMEA; assign a Risk Priority Number to each subcontractor
A Pareto chart; focus effort on the vital few causes behind most of the effect
Answer: d. Two causes accounting for most of the effect is exactly the pattern Pareto analysis is built to surface: attack the vital few tallest bars first, not every category equally.
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?
Appraisal cost
Internal failure cost
External failure cost
Prevention cost
Answer: a. Appraisal costs are spent finding defects, such as inspection, which is distinct from prevention costs, spent avoiding defects in the first place.
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?
DPMO
Cycle time
Cost of Poor Quality category totals
Rolled Throughput Yield
Answer: b. Cycle time, the total elapsed time from the start of a process to its completion, is the speed metric that best matches a request-to-repair time goal.
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.