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Measurement System Analysis (MSA)

Ensuring measurement reliability for quality decision making in manufacturing

Measurement System Analysis (MSA)

A comprehensive guide to evaluating and improving measurement systems for manufacturing quality assurance

What is Measurement System Analysis?

Measurement System Analysis (MSA) is a scientific method used to evaluate the capability, accuracy, and stability of a measurement system. It quantifies the variation introduced by the measurement process itself, ensuring that collected data reliably represents the true characteristics of the product or process being measured.

Key Objectives of MSA

  • Assess measurement system variation
  • Quantify measurement error components
  • Determine if the system is adequate for intended use
  • Identify sources of measurement variation
  • Provide basis for measurement system improvement

5 Key Characteristics of a Good Measurement System

1. Accuracy

Closeness of agreement between measured value and true value (lack of bias).

2. Precision

Closeness of agreement between repeated measurements (repeatability and reproducibility).

3. Stability

Consistency of measurements over time (lack of drift).

4. Linearity

Consistency of accuracy across the operating range.

5. Resolution

Ability to detect small differences (discrimination).

Components of Measurement Variation

Total observed variation consists of two main components:

σ²total = σ²part + σ²measurement

Measurement system variation itself has multiple components:

MSA Variation Components
Figure 1: Breakdown of measurement system variation components

Gage Repeatability and Reproducibility (GR&R)

The most common MSA technique for variable data:

GR&R Study Components

  • Repeatability (Equipment Variation): Variation when one operator measures the same part multiple times with the same gage
  • Reproducibility (Appraiser Variation): Variation when different operators measure the same parts with the same gage
  • Part-to-Part Variation: Actual variation between parts

Conducting a GR&R Study

  1. Select 10 parts representing the entire process range
  2. Choose 2-3 operators who normally use the gage
  3. Have each operator measure each part 2-3 times in random order
  4. Record all measurements carefully
  5. Analyze results using appropriate statistical methods

Interpreting GR&R Results

Results are typically expressed as % of tolerance or % of process variation:

%GR&R Interpretation Action Required
< 10% Excellent measurement system None
10% - 30% Marginally acceptable May be acceptable based on application
> 30% Unacceptable measurement system Must improve before use
Gauge R&R Chart Example
Figure 2: Example output from a GR&R study showing components of variation

Important GR&R Considerations

  • For destructive testing, use nested GR&R design
  • Ensure parts cover the full range of production
  • Operators should be unaware of previous measurements
  • Use actual production measurement procedures
  • Consider both %Tolerance and %Process Variation

Other MSA Methods

1. Bias Studies

Evaluate the difference between observed measurements and reference values:

Bias = Average(Measurements) - Reference Value

Conduct by measuring a reference standard multiple times.

2. Linearity Studies

Assess whether bias remains constant across the measurement range:

  1. Select 5+ parts covering the measurement range
  2. Determine reference values for each
  3. Measure each part multiple times
  4. Plot bias vs. reference values

3. Stability Studies

Evaluate measurement system performance over time:

  • Measure a master or control part periodically
  • Use control charts to monitor measurements
  • Look for trends, shifts, or excessive variation

Attribute MSA (Discrete Data)

For pass/fail or categorical measurement systems:

Method Description Acceptance Criteria
Attribute Agreement Analysis Assesses consistency of categorical judgments Kappa > 0.75 (excellent)
Signal Detection Theory Evaluates sensitivity to defect detection d' > 2 (good discrimination)
Effectiveness Analysis Measures correct classification rate > 90% effectiveness

Conducting an Attribute MSA

  1. Select 20-30 parts with known reference values (some good, some bad)
  2. Have 2-3 appraisers evaluate each part 2-3 times
  3. Calculate agreement statistics (Kappa, Effectiveness, etc.)
  4. Analyze false alarms and missed defects

MSA Best Practices

  • Perform MSA before capability studies or SPC implementation
  • Include all measurement systems used for quality decisions
  • Use actual production parts covering the full range
  • Involve normal production operators
  • Follow standard measurement procedures
  • Document all MSA studies thoroughly
  • Revalidate after gage maintenance or process changes
  • Consider both short-term and long-term variation

Common MSA Mistakes to Avoid

  • Using perfect or identical parts in the study
  • Not randomizing the measurement order
  • Ignoring operator training effects
  • Using incorrect tolerance or process variation
  • Not addressing poor measurement systems promptly
  • Forgetting to include environmental factors
  • Assuming calibration ensures measurement capability

MSA Software Tools

Common software used for MSA analysis:

  • Minitab
  • JMP
  • QI Macros
  • Excel templates (AIAG format)
  • MES-integrated MSA modules
  • Custom statistical software

Automated MSA Benefits

  • Reduces calculation errors
  • Standardizes reporting formats
  • Provides visualizations of results
  • Enables trend analysis over time
  • Facilitates enterprise-wide comparisons

MSA in Industry Standards

MSA requirements in major quality standards:

Standard MSA Requirements Reference Manual
IATF 16949 Mandatory for all measurement systems AIAG MSA Manual 4th Edition
ISO 9001 Implied requirement for valid measurements ISO 10012
VDA 6.3 Required for automotive suppliers VDA Volume 5
AS9100 Required for aerospace measurements AS9103

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