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UNCLASSIFIED / FOUO

   UNCLASSIFIED / FOUO




                          National Guard
                         Black Belt Training
                              Module 23

                             Measurement
                         System Analysis (MSA)
                              Introduction
                                                 UNCLASSIFIED / FOUO

                                                     UNCLASSIFIED / FOUO
UNCLASSIFIED / FOUO




CPI Roadmap – Measure
                                                                 8-STEP PROCESS
                                                                                                           6. See
   1.Validate              2. Identify           3. Set          4. Determine          5. Develop                           7. Confirm    8. Standardize
                                                                                                          Counter-
      the                 Performance         Improvement            Root               Counter-                             Results        Successful
                                                                                                          Measures
    Problem                   Gaps              Targets              Cause             Measures                             & Process        Processes
                                                                                                          Through

        Define                    Measure                         Analyze                           Improve                        Control


                                                                           TOOLS
                                                                      •Process Mapping
                                        ACTIVITIES
                      •   Map Current Process / Go & See              •Process Cycle Efficiency/TOC
                      •   Identify Key Input, Process, Output Metrics •Little’s Law
                      •   Develop Operational Definitions             •Operational Definitions
                      •   Develop Data Collection Plan                •Data Collection Plan
                      •   Validate Measurement System                 •Statistical Sampling
                      •   Collect Baseline Data                       •Measurement System Analysis
                      •   Identify Performance Gaps                   •TPM
                      •   Estimate Financial/Operational Benefits     •Generic Pull
                      •   Determine Process Stability/Capability      •Setup Reduction
                      •   Complete Measure Tollgate                   •Control Charts
                                                                      •Histograms
                                                                      •Constraint Identification
                                                                      •Process Capability
                           Note: Activities and tools vary by project. Lists provided here are not necessarily all-inclusive.      UNCLASSIFIED / FOUO     2
UNCLASSIFIED / FOUO




 Learning Objectives
          Understand the importance of good measurements
          Understand the language of measurement
          Understand the types of variation in measurement
           systems




                                                     UNCLASSIFIED / FOUO   3
UNCLASSIFIED / FOUO




 Exercise: The Three Rs




                          UNCLASSIFIED / FOUO   4
UNCLASSIFIED / FOUO




 Examples
          The Hale Koa Hotel manager wants to reduce
           customer check-in time
          The VA wants to reduce VA Home Loan Guarantee
           Program processing errors
          The Army Community Service organization wants to
           improve its customer service performance
          A VA Hospital is interested in finding ways to improve
           in-patient and out-patient care



                                                        UNCLASSIFIED / FOUO   5
UNCLASSIFIED / FOUO




 Why Is MSA Important?

         Our ability to assess the performance of a process we wish
          to improve is only as good as our ability to measure it
         The measurement system is our “eyes” for our process
               We need to be able to see the performance of our
                process clearly in order to improve it
               Sometimes, improving the ability to measure our
                process results in immediate process improvements


                  Can you trust your measurements to tell you the truth?



                                     Measurement System Analysis      UNCLASSIFIED / FOUO   6
UNCLASSIFIED / FOUO




Sources Of Observed Process Variation
                                 Observed Variation
                                 Observed Variation



    Actual Process Variation
    Actual Process Variation                             Measurement Variation
                                                         Measurement Variation
     - Long-term Process Variation
     - Short-term Process Variation
                                              Variance
                                              Variance                Variance
                                                                       Variance
                                          Due to Instrument
                                          Due to Instrument        Due to Operators
                                                                   Due to Operators
                                             - Repeatability          - Reproducibility
                                             - Calibration
                                             - Stability
                                             - Linearity

               The variation due to the measurement system must be identified first,
                            then separated from actual process variation

                                                                            UNCLASSIFIED / FOUO   7
UNCLASSIFIED / FOUO




 Variation Is Additive

                                                   Measured values




                                   Actual values


  s2 Observed = s2 Measurement + s2 Part + s2 Error
  s2 Measurement = s2 Observed – s2 Part – s2 Error
  s2 Measurement = s2 Repeatability + s2 Reproducibility + s2 Error



                                                                UNCLASSIFIED / FOUO   8
UNCLASSIFIED / FOUO




 Why Worry About Measurement Variation?
          Consider the reasons why we measure:

                                                                      Assist in
               Verify process      How might measurement             continuous
               conformity to    variation affect these decisions?   improvement
               specifications
                                                                      activities
                                    What if the amount of
                                                                                  Process
     Process                        measurement variation
                                         is unknown
                                                                                 Measurement
      Measurement

                                               ?

  Measurement variation can make our process capabilities appear worse than they are.

                                                                         UNCLASSIFIED / FOUO   9
UNCLASSIFIED / FOUO




 Measurement Variation
     Measurement Variation is broken down into two components: (The
      two Rs of Gage R&R)
        Reproducibility (Equipment or Gage or Operator Variability)
                Different individuals get different measurements for the same thing
           Repeatability (Equipment or Gage or Operator Variability)
                A given individual gets different measurements for the same thing when
                 measured multiple times

     The tool we use to determine the magnitude of these two sources of
      measurement system variation is called Gage R&R




                                                                            UNCLASSIFIED / FOUO   10
UNCLASSIFIED / FOUO




 Reproducibility (Operators’ Precision)
          Reproducibility is the variation in the average of the
           measurements made by different operators using the
           same measuring instrument when measuring the
           identical characteristic on the same part


                                                 Inspector A




                      s  s s
                        2
                        m
                                2
                                g
                                       2
                                       o


                                                Inspector B        Inspector C

                                                              UNCLASSIFIED / FOUO   11
UNCLASSIFIED / FOUO




 Repeatability (Gage Precision)
          Repeatability is the variation between successive
           measurements of the same part, same characteristic,
           by the same person using the same equipment
           (gage). Also known as test /re-test error, used as an
           estimate of short-term variation.


                                                 Ideal Process Target


                                              s  s s
                                                 2
                                                 m
                                                              2
                                                              g
                                                                                2
                                                                                o


                                                          UNCLASSIFIED / FOUO   12
UNCLASSIFIED / FOUO




 Measurement Error
                  Gage R & R variation is the percentage that               Generally recognized criteria for
                   measurement variation (repeatability and                 gage acceptability is when
              reproducibility) represents of the variation observed         Gage R & R variability to process
                                  in the process                            variability is :
                                                                            Under 10%: Acceptable gage
                                                                            10% to 30%: Might be
                                         Observed Measurements              acceptable
                                                                            Over 30%: Gage is
                                                                            unacceptable and should be
                                                                            corrected or replaced
                True Values                 Measurement Error



         Bias               Gage R&R             Stability        Discrimination        Linearity



                      Repeatability          Reproducibility


                                      Operator        Operator * Part

                                                                                             UNCLASSIFIED / FOUO   13
UNCLASSIFIED / FOUO




 Bias (Instrument Accuracy)
          Bias is the difference between the observed average
           value of measurements and the master value. The master
           value is determined by precise measurement typically by
           calibration tools linked to an accepted, traceable reference
           standard.

                                            Master Value (Reference Standard)


                                             Average Value




                                                                UNCLASSIFIED / FOUO   14
UNCLASSIFIED / FOUO




 Stability
          Stability = If measurements do not change or drift
           over time, the instrument is considered to be stable




                                         Time One



                                         Time Two




                                                       UNCLASSIFIED / FOUO   15
UNCLASSIFIED / FOUO




 Discrimination
      Discrimination     is the capability of detecting small changes in the
        characteristic being measured
      The   instrument may not be appropriate to identify process variation or quantify
        individual part characteristic values if the discrimination is unacceptable
      If an instrument does not allow differentiation between common variation in
        the process and special cause variation, it is unsatisfactory

                      .28            .28        Ruler              .28                .28
                      .279           .282      Caliper             .282               .279
                      .2794          .2822   Micrometer            .2819              .2791




                                                                                UNCLASSIFIED / FOUO   16
UNCLASSIFIED / FOUO




 Linearity
     A    measure of the difference in bias (or offset) over the range of
         the sample characteristic the instrument is expected to see
         determines linearity. If the bias is constant over the range of
         measurements, then linearity is good.
      Over   what range of values for a given characteristic can the
         device be used?
             When the measurement equipment is used to measure a wide range of
              values, linearity is a concern.
                                        Measurement
                                         Variation




                       Low                                      High
                       End          Measurement Scale           End

                                                                       UNCLASSIFIED / FOUO   17
UNCLASSIFIED / FOUO




 Name That Problem!
                          Master Value
                                            Instrument 1

                                                                       Instrument 2
                            Average Value



                                                                              Master Value
                                                                          (Reference Standard)
                                                    Time One


                                                    Time Two



                                                               .28
                                                                         1.   Discrimination
                                                               .279      2.   Bias/Accuracy
                                                               .2791
                                                                         3.   Repeatability
                                                                         4.   Reproducibility
                       Inspector A                                       5.   Instrument Bias
                       Inspector B
         Inspector C
                                                                         6.   Stability


                                                                                  UNCLASSIFIED / FOUO   18
UNCLASSIFIED / FOUO




Measurement Systems Analysis Template
   The Measurement System used to collect data has been calibrated and is considered to have no potential for significant
   errors. The data collection tool is reliable, can be counted on, has good resolution, shows no signs of bias and is stable.

          Type of
        Measurement                            Description                            Considerations to this Project
           Error
                               The ability of the measurement                    Work hours can be measured to <.25
       Discrimination
                               system to divide measurements into                hours. Radar usage measure to +- 2
       (resolution)
                               “data categories”                                 minute.
                               The difference between an observed                No bias - Work hours and radar start-
             Bias              average measurement result and a                  stop times consistent through
                               reference value                                   population.
                                                                                    No bias of work hours and radar
           Stability                The change in bias over time
                                                                                    usage data.
                                                                                 Not an issue. Labor and radar usage
        Repeatability           The extent variability is consistent             is historical and felt to be accurate
                                                                                 enough for insight and analysis.
                 - Example -                                                      Remarks in usage data deemed not
                                    Different appraisers produce                  reproducible, therefore were not
       Reproducibility
                                    consistent results                            considered in determining which
                                                                                  radars were used in each op
           Variation               The difference between parts             Required Deliverable process.
                                                                                       N/a to this
                                                                                                    UNCLASSIFIED / FOUO          19
UNCLASSIFIED / FOUO

                                                                                                                                                  Reported by :
                                                                                                                                                Gage name:
                                                                                                                                                  Tolerance:

Measurement Systems Analysis Template                                                                                                           Date of study :
                                                                                                                                                  Misc:



                                                                                                            Gage R&R (ANOVA) for Response
 Gage R&R
                                                                                             Components of Variation                                                                                    Response by Part
                              %Contribution
 Source             VarComp (of VarComp)                                   100                                                           % Contribution
                                                                                                                                         % Study Var
                                                                                                                                                              10.00
 Total Gage R&R     0.0015896      3.70




                                                               Percent
  Repeatability     0.0005567      1.29                                                                                                                             9.75
  Reproducibility   0.0010330      2.40                                     50
   Operator         0.0003418      0.79                                                                                                                             9.50
   Operator*Part    0.0006912      1.61
                                                                             0
 Part-To-Part       0.0414247     96.30                                           Gage R&R      Repeat     Reprod       Part-to-Part                                         1       2          3       4     5          6       7    8         9       10
 Total Variation    0.0430143    100.00                                                                                                                                                                           Part
                                                                                               R Chart by Operator
                               Study Var %Study Var                                                                                                                                                 Response by Operator
                                                                                  1               2                 3
 Source             StdDev (SD) (6 * SD)    (%SV)                                                                                      UCL=0.1073
                                                                           0.10                                                                               10.00
 Total Gage R&R     0.039870 0.23922     19.22
                                                           Sample Range




  Repeatability     0.023594 0.14156     11.38
  Reproducibility   0.032140 0.19284     15.50                                                                                         _                            9.75
                                                                           0.05
   Operator         0.018488 0.11093      8.91                                                                                         R=0.0417
   Operator*Part    0.026290 0.15774     12.68                                                                                                                      9.50
 Part-To-Part       0.203531 1.22118     98.13                             0.00                                                        LCL=0
                                                                                                                                                                                         1                      2                           3
 Total Variation    0.207399 1.24439 100.00
                                                                                                                                                                                                             Operator
                                                                                             Xbar Chart by Operator
 Number of Distinct Categories = 7                                                1               2                 3                                                                        Operator * Part Interaction
                                                                          10.00                                                                                      10.00                                                                          Operator
                                                      Sample Mean




                                                                                                                                       UCL=9.8422
                                                                                                                                       _                                                                                                            1

  The Measurement                                                                                                                      _




                                                                                                                                                          Average
                                                                                                                                                                                                                                                    2
                                                                                                                                       X=9.7996                       9.75
                                                                           9.75                                                        LCL=9.7569
                                                                                                                                                                                                                                                    3

  System is acceptable
                                                                                                                                                                      9.50
  with the Total Gage                                                      9.50
                                                                                                                                                                                 1       2     3    4       5 6          7   8       9 10
  R&R % Contribution                                                                                                                                                                                        Part

  <10%                                                              - Example -                                                Optional BB DeliverableUNCLASSIFIED / FOUO                                                                                20
UNCLASSIFIED / FOUO




 Takeaways
          It is important to be able to rely on the accuracy and precision
           of the measurement system to make good decisions
          Understand the various types of measurement system variation
          Eliminate as much of the variation in the measurement system
           as possible to focus on and improve the true cause of variation
           in process performance




                                                                 UNCLASSIFIED / FOUO   21
UNCLASSIFIED / FOUO




         What other comments or questions
                   do you have?




                                     UNCLASSIFIED / FOUO   22

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NG BB 23 Measurement System Analysis - Introduction

  • 1. UNCLASSIFIED / FOUO UNCLASSIFIED / FOUO National Guard Black Belt Training Module 23 Measurement System Analysis (MSA) Introduction UNCLASSIFIED / FOUO UNCLASSIFIED / FOUO
  • 2. UNCLASSIFIED / FOUO CPI Roadmap – Measure 8-STEP PROCESS 6. See 1.Validate 2. Identify 3. Set 4. Determine 5. Develop 7. Confirm 8. Standardize Counter- the Performance Improvement Root Counter- Results Successful Measures Problem Gaps Targets Cause Measures & Process Processes Through Define Measure Analyze Improve Control TOOLS •Process Mapping ACTIVITIES • Map Current Process / Go & See •Process Cycle Efficiency/TOC • Identify Key Input, Process, Output Metrics •Little’s Law • Develop Operational Definitions •Operational Definitions • Develop Data Collection Plan •Data Collection Plan • Validate Measurement System •Statistical Sampling • Collect Baseline Data •Measurement System Analysis • Identify Performance Gaps •TPM • Estimate Financial/Operational Benefits •Generic Pull • Determine Process Stability/Capability •Setup Reduction • Complete Measure Tollgate •Control Charts •Histograms •Constraint Identification •Process Capability Note: Activities and tools vary by project. Lists provided here are not necessarily all-inclusive. UNCLASSIFIED / FOUO 2
  • 3. UNCLASSIFIED / FOUO Learning Objectives  Understand the importance of good measurements  Understand the language of measurement  Understand the types of variation in measurement systems UNCLASSIFIED / FOUO 3
  • 4. UNCLASSIFIED / FOUO Exercise: The Three Rs UNCLASSIFIED / FOUO 4
  • 5. UNCLASSIFIED / FOUO Examples  The Hale Koa Hotel manager wants to reduce customer check-in time  The VA wants to reduce VA Home Loan Guarantee Program processing errors  The Army Community Service organization wants to improve its customer service performance  A VA Hospital is interested in finding ways to improve in-patient and out-patient care UNCLASSIFIED / FOUO 5
  • 6. UNCLASSIFIED / FOUO Why Is MSA Important?  Our ability to assess the performance of a process we wish to improve is only as good as our ability to measure it  The measurement system is our “eyes” for our process  We need to be able to see the performance of our process clearly in order to improve it  Sometimes, improving the ability to measure our process results in immediate process improvements Can you trust your measurements to tell you the truth? Measurement System Analysis UNCLASSIFIED / FOUO 6
  • 7. UNCLASSIFIED / FOUO Sources Of Observed Process Variation Observed Variation Observed Variation Actual Process Variation Actual Process Variation Measurement Variation Measurement Variation - Long-term Process Variation - Short-term Process Variation Variance Variance Variance Variance Due to Instrument Due to Instrument Due to Operators Due to Operators - Repeatability - Reproducibility - Calibration - Stability - Linearity The variation due to the measurement system must be identified first, then separated from actual process variation UNCLASSIFIED / FOUO 7
  • 8. UNCLASSIFIED / FOUO Variation Is Additive Measured values Actual values s2 Observed = s2 Measurement + s2 Part + s2 Error s2 Measurement = s2 Observed – s2 Part – s2 Error s2 Measurement = s2 Repeatability + s2 Reproducibility + s2 Error UNCLASSIFIED / FOUO 8
  • 9. UNCLASSIFIED / FOUO Why Worry About Measurement Variation?  Consider the reasons why we measure: Assist in Verify process How might measurement continuous conformity to variation affect these decisions? improvement specifications activities What if the amount of Process Process measurement variation is unknown Measurement Measurement ? Measurement variation can make our process capabilities appear worse than they are. UNCLASSIFIED / FOUO 9
  • 10. UNCLASSIFIED / FOUO Measurement Variation  Measurement Variation is broken down into two components: (The two Rs of Gage R&R)  Reproducibility (Equipment or Gage or Operator Variability)  Different individuals get different measurements for the same thing  Repeatability (Equipment or Gage or Operator Variability)  A given individual gets different measurements for the same thing when measured multiple times  The tool we use to determine the magnitude of these two sources of measurement system variation is called Gage R&R UNCLASSIFIED / FOUO 10
  • 11. UNCLASSIFIED / FOUO Reproducibility (Operators’ Precision)  Reproducibility is the variation in the average of the measurements made by different operators using the same measuring instrument when measuring the identical characteristic on the same part Inspector A s  s s 2 m 2 g 2 o Inspector B Inspector C UNCLASSIFIED / FOUO 11
  • 12. UNCLASSIFIED / FOUO Repeatability (Gage Precision)  Repeatability is the variation between successive measurements of the same part, same characteristic, by the same person using the same equipment (gage). Also known as test /re-test error, used as an estimate of short-term variation. Ideal Process Target s  s s 2 m 2 g 2 o UNCLASSIFIED / FOUO 12
  • 13. UNCLASSIFIED / FOUO Measurement Error Gage R & R variation is the percentage that Generally recognized criteria for measurement variation (repeatability and gage acceptability is when reproducibility) represents of the variation observed Gage R & R variability to process in the process variability is : Under 10%: Acceptable gage 10% to 30%: Might be Observed Measurements acceptable Over 30%: Gage is unacceptable and should be corrected or replaced True Values Measurement Error Bias Gage R&R Stability Discrimination Linearity Repeatability Reproducibility Operator Operator * Part UNCLASSIFIED / FOUO 13
  • 14. UNCLASSIFIED / FOUO Bias (Instrument Accuracy)  Bias is the difference between the observed average value of measurements and the master value. The master value is determined by precise measurement typically by calibration tools linked to an accepted, traceable reference standard. Master Value (Reference Standard) Average Value UNCLASSIFIED / FOUO 14
  • 15. UNCLASSIFIED / FOUO Stability  Stability = If measurements do not change or drift over time, the instrument is considered to be stable Time One Time Two UNCLASSIFIED / FOUO 15
  • 16. UNCLASSIFIED / FOUO Discrimination  Discrimination is the capability of detecting small changes in the characteristic being measured  The instrument may not be appropriate to identify process variation or quantify individual part characteristic values if the discrimination is unacceptable  If an instrument does not allow differentiation between common variation in the process and special cause variation, it is unsatisfactory .28 .28 Ruler .28 .28 .279 .282 Caliper .282 .279 .2794 .2822 Micrometer .2819 .2791 UNCLASSIFIED / FOUO 16
  • 17. UNCLASSIFIED / FOUO Linearity A measure of the difference in bias (or offset) over the range of the sample characteristic the instrument is expected to see determines linearity. If the bias is constant over the range of measurements, then linearity is good.  Over what range of values for a given characteristic can the device be used?  When the measurement equipment is used to measure a wide range of values, linearity is a concern. Measurement Variation Low High End Measurement Scale End UNCLASSIFIED / FOUO 17
  • 18. UNCLASSIFIED / FOUO Name That Problem! Master Value Instrument 1 Instrument 2 Average Value Master Value (Reference Standard) Time One Time Two .28 1. Discrimination .279 2. Bias/Accuracy .2791 3. Repeatability 4. Reproducibility Inspector A 5. Instrument Bias Inspector B Inspector C 6. Stability UNCLASSIFIED / FOUO 18
  • 19. UNCLASSIFIED / FOUO Measurement Systems Analysis Template The Measurement System used to collect data has been calibrated and is considered to have no potential for significant errors. The data collection tool is reliable, can be counted on, has good resolution, shows no signs of bias and is stable. Type of Measurement Description Considerations to this Project Error The ability of the measurement Work hours can be measured to <.25 Discrimination system to divide measurements into hours. Radar usage measure to +- 2 (resolution) “data categories” minute. The difference between an observed No bias - Work hours and radar start- Bias average measurement result and a stop times consistent through reference value population. No bias of work hours and radar Stability The change in bias over time usage data. Not an issue. Labor and radar usage Repeatability The extent variability is consistent is historical and felt to be accurate enough for insight and analysis. - Example - Remarks in usage data deemed not Different appraisers produce reproducible, therefore were not Reproducibility consistent results considered in determining which radars were used in each op Variation The difference between parts Required Deliverable process. N/a to this UNCLASSIFIED / FOUO 19
  • 20. UNCLASSIFIED / FOUO Reported by : Gage name: Tolerance: Measurement Systems Analysis Template Date of study : Misc: Gage R&R (ANOVA) for Response Gage R&R Components of Variation Response by Part %Contribution Source VarComp (of VarComp) 100 % Contribution % Study Var 10.00 Total Gage R&R 0.0015896 3.70 Percent Repeatability 0.0005567 1.29 9.75 Reproducibility 0.0010330 2.40 50 Operator 0.0003418 0.79 9.50 Operator*Part 0.0006912 1.61 0 Part-To-Part 0.0414247 96.30 Gage R&R Repeat Reprod Part-to-Part 1 2 3 4 5 6 7 8 9 10 Total Variation 0.0430143 100.00 Part R Chart by Operator Study Var %Study Var Response by Operator 1 2 3 Source StdDev (SD) (6 * SD) (%SV) UCL=0.1073 0.10 10.00 Total Gage R&R 0.039870 0.23922 19.22 Sample Range Repeatability 0.023594 0.14156 11.38 Reproducibility 0.032140 0.19284 15.50 _ 9.75 0.05 Operator 0.018488 0.11093 8.91 R=0.0417 Operator*Part 0.026290 0.15774 12.68 9.50 Part-To-Part 0.203531 1.22118 98.13 0.00 LCL=0 1 2 3 Total Variation 0.207399 1.24439 100.00 Operator Xbar Chart by Operator Number of Distinct Categories = 7 1 2 3 Operator * Part Interaction 10.00 10.00 Operator Sample Mean UCL=9.8422 _ 1 The Measurement _ Average 2 X=9.7996 9.75 9.75 LCL=9.7569 3 System is acceptable 9.50 with the Total Gage 9.50 1 2 3 4 5 6 7 8 9 10 R&R % Contribution Part <10% - Example - Optional BB DeliverableUNCLASSIFIED / FOUO 20
  • 21. UNCLASSIFIED / FOUO Takeaways  It is important to be able to rely on the accuracy and precision of the measurement system to make good decisions  Understand the various types of measurement system variation  Eliminate as much of the variation in the measurement system as possible to focus on and improve the true cause of variation in process performance UNCLASSIFIED / FOUO 21
  • 22. UNCLASSIFIED / FOUO What other comments or questions do you have? UNCLASSIFIED / FOUO 22