A gauge repeatability and reproducibility study at NEW Gauge, Inc., collected the data for three operators, two trials, and eight parts, as found in the worksheet Prob04-08 in the Excel file Ch04Data.xlsx on the Student Companion Site for this chapter. Analyze these data. The part specification is 1.5 ± 0.1 inches.

NEW Gauge, 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			1.6			Average range			0.028
Number of trials	2		Lower specification limit			1.4			Range of operator averages			0.013
Number of parts	8								Range of part averages			0.028	<---	Note: This formula was modified to account for only 8 parts being measured.
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
1	1.511	1.518		1.515	0.007	1.522	1.491		1.507	0.031	1.473	1.502		1.488	0.029		1.503
2	1.501	1.480		1.491	0.021	1.510	1.495		1.503	0.015	1.488	1.500		1.494	0.012		1.496
3	1.499	1.480		1.490	0.019	1.473	1.543		1.508	0.070	1.513	1.453		1.483	0.060		1.494
4	1.510	1.491		1.501	0.019	1.525	1.489		1.507	0.036	1.479	1.505		1.492	0.026		1.500
5	1.496	1.487		1.492	0.009	1.531	1.459		1.495	0.072	1.449	1.521		1.485	0.072		1.491
6	1.475	1.493		1.484	0.018	1.495	1.492		1.494	0.003	1.494	1.475		1.485	0.019		1.487
7	1.508	1.486		1.497	0.022	1.475	1.474		1.475	0.001	1.484	1.455		1.470	0.029		1.480
8	1.486	1.519		1.503	0.033	1.526	1.508		1.517	0.018	1.494	1.516		1.505	0.022		1.508
9				#DIV/0!					#DIV/0!					#DIV/0!			#DIV/0!
10				#DIV/0!					#DIV/0!					#DIV/0!			#DIV/0!
Average				1.496	0.019				1.501	0.031				1.488	0.034
						% of Total Variation		% of Tolerance		Variance Ratios
Repeatability (Equipment Variation) - EV				0.126		EV	92.76%	EV	62.98%	EV	86.04%
Reproducibility (Appraiser Variation) - AV				0.015		AV	11.13%	AV	7.56%	AV	1.24%
Repeatability and Reproducibility - R&R				0.127		R&R	93.42%	R&R	63.44%	R&R	87.28%
Part Variation - PV				0.048		PV	35.66%	PV	24.22%	PV	12.72%
Total Variation - TV				0.136
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