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Repeatability & Reproducibility. הישנות ו הדירות. Repeatability and Reproducibility (R & R) Studies Evaluate the precision of a measurement system. It is important that the gauge be properly calibrated Before starting the Gauge R & R Study. Precision and Accuracy. Precision

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repeatability reproducibility

Repeatability & Reproducibility

הישנות ו הדירות

Repeatability and Reproducibility (R & R) Studies

Evaluate the precision of a measurement system.

It is important that the gauge be properly calibrated

Before starting the Gauge R & R Study.

slide3

Precision

Is the closeness of agreement between randomly selected

individual measurement or test results.

Precision

Repeatability Problem:

The same person (or station)

can’t get the same result twice on the same subject

Reproducibility Problem:

Different people (or stations)

can’t agree on the result obtained on the same subject

Within Inspector Error

between Inspector Error

gauge repeatability reproducibility
Gauge Repeatability & Reproducibility
  • Gage R&R is a study to measure the measurement error in measurement systems.
  • The 10% rule tells us that

if the percent of tolerance consumed by the R&R does not exceed 10%, the measurement system is excellent.

  • R&R = 15% means that 15% of the variation in

product measurements is due to the measurement

System.

slide5

Total observed variance

  • Each independent component of the model is variable:
    • Product quality characteristic -
    • Gauge, measurement error -
  • Total observed variance in product quality characteristic measurements:
gauge variance
Gauge variance
  • If more than one operator used in study then measurement (gauge) error has two components of variance:
  • Repeatability:
    • - Variance due to measuring instrument
  • Reproducibility:
    • - Variance due to different operators
slide7
Experiments to estimate the components

&

are called:

gauge repeatability and reproducibility studies

(gauge R&R studies).

repeatability reproducibility report
Repeatability & Reproducibility Report

n - number of parts r – number of operators

For example :

2 operators, r=2 j=1…r

10 items , n=10 i=1…n

repeatability equipment variation

Average and Range method

Repeatability = Equipment Variation

Standard deviation for Repeatability

Where d2 is a factor that depends on the number of trials (sample size):

זהו החלק של השונות, בטווח הסיבולת, הנגרמת ע"י הציוד!

average and range method
Average and Range method

Reproducibility = Appraiser Variation

Standard deviation for Reproducibility

זהו החלק של השונות , בטווח הסיבולת, הנגרמת ע"י המפעילים!

combined gage variation
Combined Gage Variation

זהו החלק של השונות , בטווח הסיבולת, הנגרמת ע"י מערכת המדידה!