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R&R Homework. Statgraphics “Range Method”. DATA. Analysis Summary Operators: OPERATORS Parts: PARTS Trials: TRIALS Measurements: MEASURE 5 operators 3 parts 3 trials Average range = 1.165 Range of x-bars = 2.14856 Estimated Estimated Percent
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R&R Homework Statgraphics “Range Method”
Analysis Summary • Operators: OPERATORS • Parts: PARTS • Trials: TRIALS • Measurements: MEASURE • 5 operators 3 parts 3 trials • Average range = 1.165 Range of x-bars = 2.14856 • Estimated Estimated Percent • Sigma Variance of Total • -------------------------------------------------------------------------- • Repeatability 0.68193 0.465029 39.88 • Reproducibility 0.837196 0.700897 60.12 • -------------------------------------------------------------------------- • R & R 1.07978 1.16593 100.00 • Parts 0.915393 0.837944 • -------------------------------------------------------------------------- • Total 1.41558 2.00387 • The StatAdvisor • --------------- • Based on a study involving 5 operators, each measuring 3 parts 3 • times, the estimated standard deviation of the measurement process for • MEASURE equals 1.07978. Of the total variance, 60.1151% is due to • differences between operators (Reproducibility) while 39.8849% is due • to the instrument (Repeatability). To estimate the range of error • this implies, select Gage Report from the list of Tabular Options.
Gage Report • 5 operators 3 parts 3 trials • Measurement Unit Analysis and Study Variation • ---------------------------------------------------------------------- • 6.0 Percent Study Percent • Std. dev. Variation Contribution • Repeatability 4.09158 48.17 23.21 • Reproducibility 5.02318 59.14 34.98 • ---------------------------------------------------------------------- • R & R 6.47868 76.28 58.18 • Parts 5.49236 64.67 41.82 • 95.0 Confidence Intervals • ---------------------------------------------------------------------- • Lower 6.0 Upper • Limit Std. dev. Limit • Repeatability 3.24112 4.09158 5.55081 • Reproducibility 2.9891 5.02318 14.8558 • R & R 5.19998 6.47868 8.59681 • Parts 2.85964 5.49236 34.518 • Tolerance Analysis • ---------------------------- • Percent of • Tolerance • Repeatability 34.0965 • Reproducibility 41.8598 • R & R 53.989 • Parts 45.7696 • Tolerance = 12.0
Gage Report Summary • The StatAdvisor • --------------- • This table shows intervals equal to 6.0 times the standard • deviations due to Repeatability, Reproducibility, combined R&R, and • variability between parts. These intervals can be expected to contain • 99.73% percent of the errors attributed to each source. For example, • we would expect the measurements of MEASURE to deviate from the true • values by +/-3.23934 due to combined R&R, an interval 6.47868 units • wide. Comparing the variability of the measurement process to the • overall variability in MEASURE, the measurement process contributes • 58.1837% with the remaining 41.8163% attributable to differences • amongst the parts. Since the estimates of variability are subject to • sampling error, the confidence intervals show how precise these • estimates are. • Given a tolerance or specification 12.0 units wide (+/-6.0), the • variability from the measurement process can be expected to cover • 53.989% of that range. This would normally be unacceptable precision • for a measurement process.
