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Problem 8-16
Precision Parts, Inc.
Gauge Repeatability and Reproducibility
This spreadsheet is designed for up to three operators, three trials, and ten parts. Enter data ONLY in yellow shaded cells.
Number of operators
3
Upper specification limit 1.8 Average range 0.117
Number of trials 3Lower specification limit 1.4 Range of operator averages 0.058
Number of parts 10 Range of part averages 0.222
Data
Operator 1
Operator 2 Operator 3
Trial Trial Trial Part
Part # 1 2 3 Average Range 1 2 3 Average Range 1 2 3 Average Range Average
11.590 1.640 1.720 1.650 0.130 1.550 1.580 1.800 1.643 0.250 1.600 1.650 1.620 1.623 0.050 1.639
21.660 1.660 1.680 1.667 0.020 1.680 1.750 1.690 1.707 0.070 1.680 1.710 1.760 1.717 0.080 1.697
% of Total Variation % of Tolerance Variance Ratios
Repeatability (Equipment Variation) – EV 0.358 EV 67.88% EV 89.47% EV 46.08%
Reproducibility (Appraiser Variation) – AV 0.142 AV 27.00% AV 35.58% AV 7.29%
Repeatability and Reproducibility – R&R 0.385 R&R 73.05% R&R 96.28% R&R 53.37%
Part Variation – PV 0.360 PV 68.29% PV 90.00% PV 46.63%
Total Variation – TV 0.527
Upper control limit for individual ranges 0.303
Do not modify these tables
Trials/Operators D4 K1 K2
31.680 1.680 1.620 1.660 0.060 1.600 1.420 1.360 1.460 0.240 1.370 1.300 1.350 1.340 0.070 1.487
41.350 1.420 1.480 1.417 0.130 1.420 1.520 1.590 1.510 0.170 1.500 1.480 1.510 1.497 0.030 1.474
51.680 1.540 1.630 1.617 0.140 1.750 1.690 1.580 1.673 0.170 1.590 1.640 1.660 1.630 0.070 1.640
61.750 1.740 1.620 1.703 0.130 1.540 1.520 1.400 1.487 0.140 1.640 1.710 1.680 1.677 0.070 1.622
71.460 1.840 1.520 1.607 0.380 1.580 1.380 1.570 1.510 0.200 1.490 1.510 1.440 1.480 0.070 1.532
81.660 1.540 1.580 1.593 0.120 1.590 1.560 1.680 1.610 0.120 1.470 1.490 1.530 1.497 0.060 1.567
91.600 1.580 1.740 1.640 0.160 1.480 1.580 1.500 1.520 0.100 1.640 1.670 1.690 1.667 0.050 1.609
Parts K3
2 3.65
3 2.7
