MSA Guide for guidance at manufacturing_

wiwid57 29 views 114 slides Aug 02, 2024
Slide 1
Slide 1 of 114
Slide 1
1
Slide 2
2
Slide 3
3
Slide 4
4
Slide 5
5
Slide 6
6
Slide 7
7
Slide 8
8
Slide 9
9
Slide 10
10
Slide 11
11
Slide 12
12
Slide 13
13
Slide 14
14
Slide 15
15
Slide 16
16
Slide 17
17
Slide 18
18
Slide 19
19
Slide 20
20
Slide 21
21
Slide 22
22
Slide 23
23
Slide 24
24
Slide 25
25
Slide 26
26
Slide 27
27
Slide 28
28
Slide 29
29
Slide 30
30
Slide 31
31
Slide 32
32
Slide 33
33
Slide 34
34
Slide 35
35
Slide 36
36
Slide 37
37
Slide 38
38
Slide 39
39
Slide 40
40
Slide 41
41
Slide 42
42
Slide 43
43
Slide 44
44
Slide 45
45
Slide 46
46
Slide 47
47
Slide 48
48
Slide 49
49
Slide 50
50
Slide 51
51
Slide 52
52
Slide 53
53
Slide 54
54
Slide 55
55
Slide 56
56
Slide 57
57
Slide 58
58
Slide 59
59
Slide 60
60
Slide 61
61
Slide 62
62
Slide 63
63
Slide 64
64
Slide 65
65
Slide 66
66
Slide 67
67
Slide 68
68
Slide 69
69
Slide 70
70
Slide 71
71
Slide 72
72
Slide 73
73
Slide 74
74
Slide 75
75
Slide 76
76
Slide 77
77
Slide 78
78
Slide 79
79
Slide 80
80
Slide 81
81
Slide 82
82
Slide 83
83
Slide 84
84
Slide 85
85
Slide 86
86
Slide 87
87
Slide 88
88
Slide 89
89
Slide 90
90
Slide 91
91
Slide 92
92
Slide 93
93
Slide 94
94
Slide 95
95
Slide 96
96
Slide 97
97
Slide 98
98
Slide 99
99
Slide 100
100
Slide 101
101
Slide 102
102
Slide 103
103
Slide 104
104
Slide 105
105
Slide 106
106
Slide 107
107
Slide 108
108
Slide 109
109
Slide 110
110
Slide 111
111
Slide 112
112
Slide 113
113
Slide 114
114

About This Presentation

MSA_Guide for guidance at manufacturing


Slide Content

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 1, Printed 08/02/24Measurement Systems Analysis
Measurement
Systems
Analysis

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 2, Printed 08/02/24Measurement Systems Analysis
Don’t Let This Happen To YOU!

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 3, Printed 08/02/24Measurement Systems Analysis
Variation
Think of Measurement
as a Process

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 4, Printed 08/02/24Measurement Systems Analysis
Definition
Measurement
The assignment of numbers to material
things to represent the relationships
among them with respect to particular
properties.
C. Eisenhart (1963)

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 5, Printed 08/02/24Measurement Systems Analysis
Measurement Systems Analysis
•Basic Concepts of Measurement Systems
A Process
•Statistics and the Analysis of Measurement
Systems
•Conducting a Measurement Systems Analysis
•ISO - TC 69 is the Statistics Group
•Ensures high ‘Data Quality’ (Think of Bias)

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 6, Printed 08/02/24Measurement Systems Analysis
Course Focus & Flow
Measurement as a Process
•Mechanical Aspects (vs Destructive)
Piece part
Continuous (fabric)
•Features of a Measurement System
•Methods of Analysis
•Gauge R&R Studies
•Special Gauging Situations
Go/No-Go
Destructive Tests

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 7, Printed 08/02/24Measurement Systems Analysis
Place Timeline Here

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 8, Printed 08/02/24Measurement Systems Analysis
The Target & Goal
Prototype
Pre-Launch
Production
USLLSL
Continuous Improvement

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 9, Printed 08/02/24Measurement Systems Analysis
Key Words
•Discrimination
Ability to tell things apart
•Bias [per AIAG] (Accuracy)
•Repeatability [per AIAG] (Precision)
•Reproducibility
•Linearity
•Stability

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 10, Printed 08/02/24Measurement Systems Analysis
Terminology
•Error ≠ Mistake
•Error ≠ Uncertainty
•Percentage Error ≠ Percentage Uncertainty
•Accuracy ≠ Precision

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 11, Printed 08/02/24Measurement Systems Analysis
Measurement Uncertainty
•Different conventions are used to report
measurement uncertainty.
•What does ±5 mean in m = 75 ±5?
Estimated Standard Deviation: 
Estimated Standard Error: 
m
= /√N
Expanded Uncertainty of ± 2 or 3
Sometimes ± 1 (Why?)
95% or 99% Confidence Interval
Standard Uncertainty: u
Combined Standard Uncertainty: u
c

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 12, Printed 08/02/24Measurement Systems Analysis
Measurement Uncertainty
•Typical Reports
•Physici

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 13, Printed 08/02/24Measurement Systems Analysis
Measurement as a Process
Basic Concepts
•Components of the Measurement System
•Requirements of a Measurement System
•Factors Affecting a Measurement System
•Characteristics of a Measurement System
Features (Qualities) of a Measurement Number
•Units (Scale)
•Accuracy
•Precision (Consistency or Repeatability)
•Resolution (Reproducibility)

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 14, Printed 08/02/24Measurement Systems Analysis
Measurement Related Systems
Typical Experiences with
Measurement Systems

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 15, Printed 08/02/24Measurement Systems Analysis
Basic Concepts
•Every Process Produces a “Product”
•Every Product Possesses Qualities (Features)
•Every Quality Feature Can Be Measured
•Total Variation
= Product Variation + Measurement Variation
•Some Variation Inherent in System Design
•Some Variation is Due to a Faulty Performance of
the System(s)

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 16, Printed 08/02/24Measurement Systems Analysis
The Measurement Process
What is the ‘Product’ of the Measurement Process?
What are the Features or Qualities of this Product?
How Can We Measure Those Features?

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 17, Printed 08/02/24Measurement Systems Analysis
Measurement Systems Components
•Material to be Inspected
Piece
Continuous
•Characteristic to be Measured
•Collecting and Preparing Specimens
•Type and Scale of Measurement
•Instrument or Test Set
•Inspector or Technician
AIAG calls these ‘Appraiser’
•Conditions of Use

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 18, Printed 08/02/24Measurement Systems Analysis
Where Does It Start?
During the Design (APQP) Stage:
The engineer responsible for determining inspections
and tests, and for specifying appropriate equipment
should be well versed in measurement systems. The
Calibration folks should be part of the process as a
part of a cross-functional team.
Variability chosen instrument must be small when
compared with:
Process Variability
Specification Limits

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 19, Printed 08/02/24Measurement Systems Analysis
Typical Progression
Determine ‘Critical’
Characteristic
Determine What
Equipment is Already
Available
Determine Required
Resolution
Consideration of the Entire
Measurement System for
the Characteristic
(Variables)
Cross-Functional
Product Engineer
Product Engineer
Metrology
How will the data
be used?

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 20, Printed 08/02/24Measurement Systems Analysis
Measurement Systems Variables
Measurement
Instrument Environment
Material Inspector Methods
Sample
Preparation
Sample
Collection
Parallax
Reproducibility
Training
Practice
Ergonomics
Test Method
Workmanship
Samples
Standards
Discrimination
Repeatability
Bias
Calibration
Linearity
Vibration
Lighting
Temperature
Humidity
These are some of the variables in a measurement
system. What others can you think of?
Fixture
Eyesight
Air Pressure
Air Movement
Fatigue

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 21, Printed 08/02/24Measurement Systems Analysis
Determining What To Measure
•Voice of the Customer
You Must Convert to Technical Features
•Technical Features
•Failure Modes Analysis
•Control Plan
Convert To
External
Requirements
Internal
Requirements

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 22, Printed 08/02/24Measurement Systems Analysis
Voice of the Customer
•External and
Internal
Customers
•Stated vs Real
and Perceived
Needs
•Cultural Needs
•Unintended
Uses
•Functional
Needs vs.
Technical
Features
Customer
may
specify
causes
rather than
output

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 23, Printed 08/02/24Measurement Systems Analysis
Convert to Technical Features
•Agreed upon
Measure(s)
•Related to
Functional Needs
•Understandable
•Uniform
Interpretation
•Broad Application
•Economical
•Compatible
•Basis for Decisions
Y
Z
Technical Feature
Functional Need

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 24, Printed 08/02/24Measurement Systems Analysis
Failure Modes Analysis
•Design
FMEA
•Process
FMEA
•Identify
Key
Features
•Identify
Control
Needs
Critical Features are Defined Here!

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 25, Printed 08/02/24Measurement Systems Analysis
Automotive FMEA
Process Failure Mode And Effects Analysis Low - High
Process: Outside Suppliers Affected: Engineer: 1 - 10
Primary Process Responsibility: Model Year/Vehicle(s): Part Number:
Other Div. Or People Involved: Scheduled Production Released: PFMEA Date: Rev.
Approvals: Quality Assurance Manager Quality Assurance Engineer
Operations Manager Senior Advisor
Part Name
Operation
Number Process Function
Potential Failure
Mode
Potential Effects Of
Failure Potential Cause Of Failure Current Controls OccuredSeverityDetectionRPN
Recommended
Actions And
Status
Actions
Taken OccuredSeverityDetectionRPN
Responsible
Activity
SIR Take TPPE Wrong MaterialFragmented Container Insufficient Supplier ControlMaterial Certification
19218
Container Material Held In Unpredictable Deployment Improper Handling Required With Each
1 Storage Area Misidentified Material Shipment
Release Verification
Out Of SpecFragmented Container Supplier Process Control Periodic Audit Of 310390
Material Unpredictable Deployment Supplier Material
ContaminatedFragmented Container Open Boxes Visual Inspection 19763
Material Unpredictable Deployment
Material Fragmented Container Engineering Change Release Verification 110770
CompositionUnpredictable Deployment Supplier Change Green "OK" Tag
Change Customer Notification
2 Move To UnreleasedFragmentation Untrained LTO Check For Green "OK"
510150
Approved Untrained Personnel Tag At Press
Storage Trace Card
Check List
Training
Leading to MSA. Critical features are determined by the FMEA
(RPN indicators) and put into the Control Plan.

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 26, Printed 08/02/24Measurement Systems Analysis
Control Plan / Flow Diagram
•Inspection Points
•Inspection
Frequency
•Instrument
•Measurement Scale
•Sample Preparation
•Inspection/Test
Method
•Inspector (who?)
•Method of Analysis

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 27, Printed 08/02/24Measurement Systems Analysis
GM Process Flow Chart
Process Flow Diagram Approved By:
Part Number: Date:4/5/93 QA Manager
Part Description: Rev. :C Operations Manager
Prepared By: Senior Advisor
QA Engineer
Step FabricationMoveStoreInspectOperation Description Item #Key Product CharacteristicItem # Key Control Characteristic
1 Move "OK" Vinyl Material 1.0Material Specs 1.0Material Certification Tag
From Storage Area and
Load Into Press.
2 Auto Injection Mold Cover 2.0Tearstrip In Cover 2.1Tool Setup
In Tool # 2.2Machine Setup
3.0Hole Diameter In Cover 2.1Tool Setup
2.2Machine Setup
4.0Flange Thickness In Cover 2.1Tool Setup
2.2Machine Setup
5.0Pressure Control Protrusions 2.1Tool Setup
Height 2.2Machine Setup
3 Visually Inspect Cover 6.0Pressure Control Protrusions 2.1Tool Setup
Filled Out 2.2Machine Setup

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 28, Printed 08/02/24Measurement Systems Analysis
Standard Control Plan Example
Control Plan Number Key Contact / Phone Date (Orig.) Date (Rev.)
Part No./ Latest Change No. Core Team Customer Engineering Approval/Date
Part Name/Description Supplier/Plant Apoproval/Date Customer Quality Approval/Date
Supplier/Plant Supplier Code Other Approval/date (If Req'd) Other Approval/date (If Req'd)
Characteristics Methods
Part/
Process
Number
Process Name/
Operation
Description
Machine,
Device,
Jig, Tools
for Mfg.No.ProductProcess
Special
Char.
Class
Product/
Process
Spec/
Tolerance
Evaluation
Measurement
Technique Size
Frequ-
ency
Control
Method
Reaction
Plan
This form is on course disk

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 29, Printed 08/02/24Measurement Systems Analysis
Ford’s Dimensional Control Plan (DCP)

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 30, Printed 08/02/24Measurement Systems Analysis
Measurement as a System
•Choosing the Right Instrument
Instrument Calibration Needs
Standards or Masters Needed
Accuracy and Precision
•Measurement Practices
Where
How Many Places
•Reported Figures
Significant Figures Rule
2 Action Figures
Rule of 10
Individuals, Averages, High-Lows

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 31, Printed 08/02/24Measurement Systems Analysis
Measurement Error
Measured Value (y)
=
True Value (x) + Measurement Error
Deming says there is
no such thing as a
‘True’ Value.
Consistent (linear)?

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 32, Printed 08/02/24Measurement Systems Analysis
Sources of Measurement Error
•Sensitivity (Threshold)
Chemical Indicators
•Discrimination
•Precision (Repeatability)
•Accuracy (Bias)
•Damage
•Differences in use by Inspector (Reproducibility)
Training Issues
•Differences Among Instruments and Fixtures
•Differences Among Methods of Use
•Differences Due to Environment

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 33, Printed 08/02/24Measurement Systems Analysis
Types of Measurement Scales
•Variables
Can be measured on a continuous scale
Defined, standard Units of Measurement
•Attributes
No scale
Derived ‘Unit of Measurement’
Can be observed or counted
Either present or not
Needs large sample size because of low information content

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 34, Printed 08/02/24Measurement Systems Analysis
How We Get Data
•Inspection
•Measurement
•Test
Includes Sensory (e.g..: Beer)
Magnitude of Quality

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 35, Printed 08/02/24Measurement Systems Analysis
Operational Definitions
•Is the container Round?
•Is your software Accurate?
•Is the computer screen Clean?
•Is the truck On Time?

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 36, Printed 08/02/24Measurement Systems Analysis
Different Method = Different Results
In SpecOut of Spec
Method 1
Method 2

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 37, Printed 08/02/24Measurement Systems Analysis
Measurement System Variability
•Small with respect to Process Variation
•Small with respect to Specified
Requirements
•Must be in Statistical Control
Measurement IS a Process!
Free of Assignable Causes of variation

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 38, Printed 08/02/24Measurement Systems Analysis
Studying the Measurement System
•Environmental Factors
•Human Factors
•System Features
•Measurement Studies

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 39, Printed 08/02/24Measurement Systems Analysis
Standards
•National
In the US - Kept or Tracked by NIST
•Primary
Copied directly from National Standard using ‘State-of-the-
Art’ Equipment
•Secondary
Transferred from Primary Standard
•Working
Used to calibrate laboratory and shop instruments

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 40, Printed 08/02/24Measurement Systems Analysis
Environmental Factors
•Temperature
•Humidity
•Vibration
•Lighting
•Corrosion
•Wear
•Contaminants
Oil & Grease
Aerosols
Where is the study performed?
1. Lab?
2. Where used?
3. Both?

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 41, Printed 08/02/24Measurement Systems Analysis
Human Factors
•Training
•Skills
•Fatigue
•Boredom
•Eyesight
•Comfort
•Complexity of Part
•Speed of Inspection (parts per hour)
•Misunderstood Instructions

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 42, Printed 08/02/24Measurement Systems Analysis
•Sources of Errors
Inadvertent Errors
•Attentiveness
•Random
•Good Mistake-Proofing Target
Technique Errors
•Consistent
Wilful Errors (Bad mood)
•Error Types (Can be machine or human)
Type I - Alpha Errors [ risk]
Type II - Beta Errors [ risk]
Human Measurement Errors
Accept
Reject
Good Bad
OK!
OK!alpha
beta
Training
Issue
Process in control,
but needs
adjustment, False
alarm
Unaware of
problem

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 43, Printed 08/02/24Measurement Systems Analysis
Measurement System Features
•Discrimination
Ability to tell things apart
•Bias [per AIAG] (Accuracy)
•Repeatability [per AIAG] (Precision)
•Reproducibility
•Linearity
•Stability

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 44, Printed 08/02/24Measurement Systems Analysis
Discrimination
•Readable Increments of Scale
•If Unit of Measure is too course: Process
variation will be lost in Rounding Off
•The “Rule of Ten”: Ten possible values
between limits is ideal
Five Possible Values: Marginally useful
Four or Less: Inadequate Discrimination

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 45, Printed 08/02/24Measurement Systems Analysis
Discrimination

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 46, Printed 08/02/24Measurement Systems Analysis
Range Charts & Discrimination
Indicates
Poor
Precision

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 47, Printed 08/02/24Measurement Systems Analysis
Bias and Repeatability
Precise Imprecise
Accurate
Inaccurate
Bias
You can correct for Bias
You can NOT correct for Imprecision

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 48, Printed 08/02/24Measurement Systems Analysis
Bias
•Difference between
average of measurements
and an Agreed Upon
standard value
•Known as Accuracy
•Cannot be evaluated
without a Standard
•Adds a Consistent “Bias
Factor” to ALL
measurements
•Affects all measurements
in the same way
Standard
Value
Measurement Scale
Bias

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 49, Printed 08/02/24Measurement Systems Analysis
Causes of Bias
•Error in Master
•Worn components
•Instrument improperly calibrated
•Instrument damaged
•Instrument improperly used
•Instrument read incorrectly
•Part set incorrectly (wrong datum)

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 50, Printed 08/02/24Measurement Systems Analysis
Bias and QS9000
Bias - The difference between the observed
Average of measurements and the master
Average of the same parts using precision
instruments. (MSA Manual Glossary)
The auditor may want evidence that the concept of
bias is understood. Remember that bias is basically
an offset from ‘zero’. Bias is linked to Stability in the
sense that an instrument may be ‘zeroed’ during
calibration verification. Knowing this we deduce that
the bias changes with instrument use. This is in part
the concept of Drift.

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 51, Printed 08/02/24Measurement Systems Analysis
Bias
•I choose a caliper (resolution 0.01) for
the measurement. I measure a set of
parts and derive the average.
•I take the same parts and measure
them with a micrometer (resolution
0.001). I then derive the average.
•I compare the two averages. The
difference is the Bias.

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 52, Printed 08/02/24Measurement Systems Analysis
Repeatability
•Variation among
repeated
measurements
•Known as Precision
•Standard NOT
required
•May add or subtract
from a given
measurement
•Affects each
measurement
randomly
Measurement Scale
Repeatability
Margin of Error
Doesn’t address Bias
5.15 = 99%

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 53, Printed 08/02/24Measurement Systems Analysis
Repeatability Issues
•Measurement Steps
Sample preparation
Setting up the instrument
Locating on the part
•How much of the measurement process
should we repeat?

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 54, Printed 08/02/24Measurement Systems Analysis
Using Shewhart Charts I
Repeatability

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 55, Printed 08/02/24Measurement Systems Analysis
Using Shewhart Charts II

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 56, Printed 08/02/24Measurement Systems Analysis
•Same appraiser, Same part, Same instrument
•Multiple readings (n≥10 with 20 to 40 better)
•Analysis
Average minus Standard Value = Bias
5.15* Standard Deviation = Repeatability
or +/- 2.575  [99% repeatability]
or +/- 2  [95% repeatability]
•Histogram
•Probability
Evaluating Bias & Repeatability
AIAG
True

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 57, Printed 08/02/24Measurement Systems Analysis
Repeatability Issues
•Making a measurement may involve
numerous steps
Sample preparation
Setting up the instrument
Locating the part, etc.
•How much of the measurement process
should we repeat? How far do we go?

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 58, Printed 08/02/24Measurement Systems Analysis
Bias & Repeatability Histogram
Never include assignable cause errors

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 59, Printed 08/02/24Measurement Systems Analysis
Linearity
•The difference in the Bias or Repeatability across
the expected operating range of the instrument.

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 60, Printed 08/02/24Measurement Systems Analysis
Plot Biases vs. Ref. Values
Linearity = |Slope| * Process Variation = 0.1317*6.00 = 0.79
% Linearity = 100 * |Slope| = 13.17%

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 61, Printed 08/02/24Measurement Systems Analysis
Causes of Poor Linearity
•Instrument not properly calibrated at
both Upper and Lower extremes
•Error in the minimum or maximum
Master
•Worn Instrument
•Instrument design characteristics

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 62, Printed 08/02/24Measurement Systems Analysis
Reproducibility
•Variation in the
averages among
different
appraisers
repeatedly
measuring the
same part
characteristic
•Concept can also
apply to variation
among different
instruments
Includes repeatability which must be accounted for.

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 63, Printed 08/02/24Measurement Systems Analysis
Reproducibility Example

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 64, Printed 08/02/24Measurement Systems Analysis
Calculating Reproducibility (I)
•Find the range of the appraiser averages (R0)
•Convert to Standard Deviation using d2*
(m=# of appraisers; g=# of ranges used = 1)
•Multiply by 5.15
•Subtract the portion of this due to
repeatability

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 65, Printed 08/02/24Measurement Systems Analysis
Calculating Reproducibility
People variance
Trials
Times done

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 66, Printed 08/02/24Measurement Systems Analysis
Stability
•Variation in
measurements of a
single
characteristic
•On the same
master
•Over an extended
period of time
•Evaluate using
Shewhart charts

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 67, Printed 08/02/24Measurement Systems Analysis
Evaluate Stability with Run Charts

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 68, Printed 08/02/24Measurement Systems Analysis
Stability
Both gages are stable, but.....

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 69, Printed 08/02/24Measurement Systems Analysis
Importance of Stability
•Statistical stability, combined with subject-
matter knowledge, allows predictions of
process performance
•Action based on analysis of Unstable systems
may increase Variation due to ‘Tampering’
•A statistically unstable measurement system
cannot provide reliable data on the process

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 70, Printed 08/02/24Measurement Systems Analysis
Methods of Analysis

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 71, Printed 08/02/24Measurement Systems Analysis
Analysis Tools
•Calculations of Average and Standard
Deviation
•Correlation Charts
•Multi-Vari Charts
•Box-and-Whisker Plots
•Run charts
•Shewhart charts

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 72, Printed 08/02/24Measurement Systems Analysis
Average and Standard Deviation

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 73, Printed 08/02/24Measurement Systems Analysis
Correlation Charts
Describe Relationships
•Substitute measurement for desired
measurement
•Actual measurement to reference value
•Inexpensive gaging method versus
Expensive gaging method
•Appraiser A with appraiser B

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 74, Printed 08/02/24Measurement Systems Analysis
Substitute Measurements
•Cannot directly
measure quality
•Correlate
substitute measure
•Measure substitute
•Convert to desired
quality

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 75, Printed 08/02/24Measurement Systems Analysis
Comparing Two Methods
•Two
methods
•Measure
parts using
both
•Correlate
the two
•Compare to
“Line of No
Bias”
•Investigate
differences
Magnetic
Stripping
Line of Perfect Agreement
Line of Correlation

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 76, Printed 08/02/24Measurement Systems Analysis
Measurements vs. Reference Data

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 77, Printed 08/02/24Measurement Systems Analysis
Measurements vs. Reference Correlation
Disparity

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 78, Printed 08/02/24Measurement Systems Analysis
Comparing Two Appraisers

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 79, Printed 08/02/24Measurement Systems Analysis
Run Charts Examine Stability

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 80, Printed 08/02/24Measurement Systems Analysis
Multiple Run Charts
More than 3 appraisers confuses things...

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 81, Printed 08/02/24Measurement Systems Analysis
Multi-Vari Charts
High Reading
Low Reading
Average Reading
•Displays 3 points
•Length of bar; bar-to-bar;
Bar cluster to cluster
•Plot High and Low
readings as Length of bar
•Each appraiser on a
separate bar
•Each piece in a separate
bar cluster

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 82, Printed 08/02/24Measurement Systems Analysis
Multi-Vari Type I
•Bar lengths
are long
•Appraiser
differences
small in
comparison
•Piece-to-
piece hard to
detect
•Problem is
repeatability

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 83, Printed 08/02/24Measurement Systems Analysis
Multi-Vari Type II
•Appraiser
differences are
biggest source
of variation
•Bar length is
small in
comparison
•Piece-to-piece
hard to detect
•Problem is
reproducibility

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 84, Printed 08/02/24Measurement Systems Analysis
Multi-Vari Type III
•Piece-to-piece
variation is the
biggest source of
variation
•Bar length
(repeatability) is small
in comparison
•Appraiser differences
(bar-to-bar) is small
in comparison
•Ideal Pattern

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 85, Printed 08/02/24Measurement Systems Analysis
Multi-Vari Chart Example
Normalized Data

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 86, Printed 08/02/24Measurement Systems Analysis
Multi-Vari Chart, Joined
Look for similar pattern

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 87, Printed 08/02/24Measurement Systems Analysis
Using Shewhart Charts
•Subgroup = Repeated measurements,, same piece
•Different Subgroups = Different pieces and/or
appraisers
•Range chart shows precision (repeatability)
•Average chart “In Control” shows reproducibility
If subgroups are different appraisers
•Average chart shows discriminating power
If subgroups are different pieces
(“In Control” is BAD!)

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 88, Printed 08/02/24Measurement Systems Analysis
Shewhart Charts
This is not a good way to plot this data
Too many lines

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 89, Printed 08/02/24Measurement Systems Analysis
Shewhart Chart of Instrument

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 90, Printed 08/02/24Measurement Systems Analysis
Gage R&R Studies

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 91, Printed 08/02/24Measurement Systems Analysis
Gauge R&R Studies
•Developed by Jack Gantt
•Originally plotted on probability paper
•Revived as purely numerical
calculations
•Worksheets developed by AIAG
•Renewed awareness of Measurement
Systems as ‘Part of the Process’
Consider Numerical vs. Graphical Data Evaluations

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 92, Printed 08/02/24Measurement Systems Analysis
Terms Used in R&R (I)
•n = Number of Parts [2 to 10]
Parts represent total range of process variation
Need not be “good” parts. Do NOT use consecutive pieces.
Screen for size
•a = Number of Appraisers
Each appraiser measures each part r times
Study must be by those actually using
•R - Number of trials
–Also called “m” in AIAG manual
•g = r*a [Used to find d2* in table 2, p. 29 AIAG manual]
1 Outside Low/High
1 Inside Low/High
Target
Minimum of 5.
2 to 10 To accommodate
worksheet factors
12
3
45

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 93, Printed 08/02/24Measurement Systems Analysis
•R-barA = Average range for appraiser A, etc.
•R-double bar = Average of R-barA, R-barB
•Rp = Range of part averages
•XDIFF = Difference between High & Low appraiser
averages
Also a range, but “R” is not used to avoid confusion
•EV = 5.15 = Equipment variation (repeatability)
•EV = 5.15 = Equipment variation (reproducibility)
•PV = Part variation
•TV = Total variation
Terms Used in R&R (II)
Process Variation

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 94, Printed 08/02/24Measurement Systems Analysis
R&R Calculations
Measurement
System Variation
Product Process
Variation
Left over
Repeatability
Remember -
Nonconsecutive
Pieces
Left over
Repeatability

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 95, Printed 08/02/24Measurement Systems Analysis
Accumulation of Variances

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 96, Printed 08/02/24Measurement Systems Analysis
Evaluating R&R
•%R&R=100*[R&R/TV] (Process Control)
•%R&R=100*[R&R/Tolerance] (Inspection)
•Under 10%: Measurement System Acceptable
•10% to 30%: Possibly acceptable,
depending upon use, cost, etc.
•Over 30%: Needs serious improvement

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 97, Printed 08/02/24Measurement Systems Analysis
Analysis of Variance I
•Mean squares and Sums of squares
•Ratio of variances versus expected F-ratio
•Advantages
Any experimental layout
Estimate interaction effects
•Disadvantages
Must use computer
Non-intuitive interpretation

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 98, Printed 08/02/24Measurement Systems Analysis
Analysis of Variance II
•The n*r measurements must be done in
random sequence [a good idea anyway]
•Assumes that EV [repeatability] is normal
and that EV is not proportional to
measurement [normally a fairly good
assumption]
•Details beyond scope of this course

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 99, Printed 08/02/24Measurement Systems Analysis
Special Gauging Situations
•Go/No-Go
•Destructive Testing

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 100, Printed 08/02/24Measurement Systems Analysis
If Gauges were Perfect

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 101, Printed 08/02/24Measurement Systems Analysis
But Repeatability Means We Never
Know The Precise Value

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 102, Printed 08/02/24Measurement Systems Analysis
So - Actual Part Acceptance Will Look Like
This:

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 103, Printed 08/02/24Measurement Systems Analysis
The Effect of Bias on Part Acceptance

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 104, Printed 08/02/24Measurement Systems Analysis
Go/No-Go gauges
•Treat variables like attributes
•Provide less information on the process,
but...
•Are fast and inexpensive
•Cannot use for Process Control
•Can be used for Sorting purposes

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 105, Printed 08/02/24Measurement Systems Analysis
“Short” Go/No-Go Study
•Collect 20 parts covering the entire
process range
•Use two inspectors
•Gage each part twice
•Accept gauge if there is agreement on
each of the 20 parts
* May reject a good measuring system

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 106, Printed 08/02/24Measurement Systems Analysis
Destructive Tests
•Cannot make true duplicate tests
•Use interpenetrating samples
•Compare 3 averages
•Adjust using √n

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 107, Printed 08/02/24Measurement Systems Analysis
Destructive Tests: Interpreting Samples
AIAG does not address

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 108, Printed 08/02/24Measurement Systems Analysis
Summary

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 109, Printed 08/02/24Measurement Systems Analysis
Measurement Variation
•Observed variation is a combination of
the production process PLUS the
measurement process
•The contribution of the measurement
system is often overlooked

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 110, Printed 08/02/24Measurement Systems Analysis
Types of Measurement Variation
•Bias (Inaccuracy)
•Repeatability (Imprecision)
•Discrimination
•Linearity
•Stability

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 111, Printed 08/02/24Measurement Systems Analysis
Measurement Systems
•Material
•Characteristic
•Sampling and Preparation
•Operational Definition of Measurement
•Instrument
•Appraiser
•Environment and Ergonomics

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 112, Printed 08/02/24Measurement Systems Analysis
Measurement Systems Evaluation Tools
•Histograms
•Probability paper
•Run Charts
•Scatter diagrams
•Multi-Vari Charts
•Gantt “R&R” analysis
•Analysis of Variance (ANOVA)
•Shewhart “Control” Charts

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 113, Printed 08/02/24Measurement Systems Analysis
Shewhart Charts
•Range chart shows repeatability
•X-bar limits show discriminating power
•X-double bar shows bias
(if a known standard exists)
•Average chart shows stability
(sub-groups overtime)
•Average chart shows reproducibility
(sub-groups over technicians/instruments)

©2/2001 Cayman Systems Revision M
(513) 777-3394 -- 16949.com Slide 114, Printed 08/02/24Measurement Systems Analysis
Conclusion
•Rule of Ten
•Operating Characteristic Curve
•Special Problems
Go/No-Go Gages
Attribute Inspection
Destructive Testing
Tags