- The Data In The Following Were Obtained From A Digital Thickness Measuring Gauge The Wall Thickness In Inches Of An U 1 (203.4 KiB) Viewed 25 times
The data in the following were obtained from a digital thickness measuring gauge. The wall thickness (in inches) of an unidentified part is the data collected. Ten parts were selected randomly from a production lot. Three operators were selected from those who normally use the same digital gauge. Each of the three operators measured the 10 parts that were randomly ordered. The 10 parts were again randomly ordered and each of the three operators again measured the parts. Assess this measurement system by assessing any significant differences in measurements via Operator, by part items, and the interaction of operator and parts. Operator 1 Operator 2 Operator 3 11.27 8.68 10.34 10.48 12.12 9.93 11.12 8.47 11.76 Part 1 Part 6 14.87 16.65 Part 2 Part 7 14.31 14.5 13.27 13.50 10.00 15.26 13.88 13.96 14.67 13.2 15.12 14.86 Part 3 Operator 1 Operator 2 Operator 3 11.33 10.40 11.92 11.02 8.94 10.18 12.04 7.51 11.88 12.20 11.80 11.46 12.39 9.32 12.73 11.30 11.51 11.41 7.75 6.77 7.77 8.14 8.09 9.61 8.53 10.44 7.61 12.18 10.38 11.72 12.52 10.32 13.91 12.38 13.22 14.13 11.22 8.96 9.64 10.80 6.77 9.34 9.31 9.74 10.18 15.45 14.94 15.22 Part 8 11.44 7.51 11.65 Part 4 11.05 12.46 13.29 10.93 Part 9 12.69 12.63 10.65 10.02 11.09 9.75 7.93 11.06 10.51 11.46 Part 5 Part 10 12.03 9.66 Discuss: What does the significance results in ANOVA mean for this experiment? If operator factor is significant, what does it mean for the inspection system? If interaction of parts and operators is significant, what does it imply about the reliability of the inspection process whose data was collected from? Can the same part be measured by one operator and have consistent and reproducible result with another operator? Can you identify which operator is the best measurer? And which operator is least reliable?