randr
DESCRIPTION
r and rTRANSCRIPT
printed 04/20/2023 document.xls Page 1 of 3
MEASUREMENT SYSTEMS ANALYSIS
REPEATABILITY & REPRODUCIBILITY DATE
GAGE NAME CHARACTERISTIC
GAGE TYPE SPECIFICATION
GAGE NUMBER TEST NUMBER
APPRAISER A NAME APPRAISER B NAME
SAMPLE SIZE 10 APPRAISERS 3 APPRAISER C NAME
TRIALS 2
Appraiser/
Trial # 1 2 3 4 5 6 7 8 9 10 AVG
A
1 0.65 1 0.85 0.85 0.55 1 0.95 0.85 1 0.6 0.830
2 0.6 1 0.8 0.95 0.45 1 0.95 0.8 1 0.7 0.825
AVG'S 0.625 1.000 0.825 0.900 0.500 1.000 0.950 0.825 1.000 0.650 Xa 0.828
Range 0.050 0.000 0.050 0.100 0.100 0.000 0.000 0.050 0.000 0.100 Ra 0.045
B
1 0.55 1.05 0.8 0.8 0.4 1 0.95 0.75 1 0.55 0.785
2 0.55 0.95 0.75 0.75 0.4 1.05 0.9 0.7 0.95 0.5 0.750
AVG'S 0.550 1.000 0.775 0.775 0.400 1.025 0.925 0.725 0.975 0.525 Xb 0.768
Range 0.000 0.100 0.050 0.050 0.000 0.050 0.050 0.050 0.050 0.050 Rb 0.045
C
1 0.5 1.05 0.8 0.8 0.45 1 0.95 0.8 1.05 0.85 0.825
2 0.55 1 0.8 0.8 0.5 1.05 0.95 0.8 1.05 0.8 0.830
AVG'S 0.525 1.025 0.800 0.800 0.475 1.025 0.950 0.800 1.050 0.825 Xc 0.828
Range 0.050 0.050 0.000 0.000 0.050 0.050 0.000 0.000 0.000 0.050 Rc 0.025
Part X 0.807
Average 0.5667 1.0083 0.8000 0.8250 0.4583 1.0167 0.9417 0.7833 1.0083 0.6667 0.558
RANGE VARIATION
Ra 0.045 # Trials Rdoublebar x =
Rb 0.045 2 3.267 0.0383 3.267 = 0.125
Rc 0.025 3 2.575 Note: LCL is zero with < 8 trials
SUM 0.115
0.0383 # Trials Xbar + ( Rbar x =
2 1.880 0.8075 0.0383 1.88 = 0.880
3 1.023 Xbar - ( Rbar x =
0.8075 0.0383 1.88 = 0.735
Max. X 0.828 Tolerence = # Trials - n = 10
Min. X 0.768
X Diff 0.060 # Appr. - r = 3
Rp
D4 (D4) UCLR
Rdoublebar A2 A2) UCLX
A2) LCLX
printed 04/20/2023 document.xls Page 2 of 3
GAGE TYPE DATE
TEST NUMBER APPRAISER A NAME
APPRAISER B NAME
APPRAISER C NAME
MEASUREMENT UNIT ANALYSIS % TOTAL VARIATION (TV)
REPEATABILITY - EQUIPMENT VARIATION (EV) % EV = 100 (EV/TV)
% EV = 18.70%
EV = R1 X K1 K1 (2 trials)= 4.56
EV = 0.1748 #VALUE!
REPRODUCIBILITY - APPRAISER VARIATION (AV)
% AV = 100(AV/TV)
AV = SQ. ROOT ((X DIFF X K2)SQUARED - (EV SQUARED/NR)) % AV = 16.99%
AV = 0.1588254 K2 (3 appraisers)= 2.70
#VALUE!
REPEATABILITY & REPRODUCIBILITY (R&R) % R&R = 100(R&R/TV)
% R&R = 25.26%
R&R = SQ. ROOT (EV SQUARED + AV SQUARED)
R&R = 0.236179 #VALUE!
PART VARIATION (PV) % PV = 100(PV/TV)
% PV = 96.76%
PV = Rp x K3 PARTS K3
PV = 0.9045 10 1.62 #VALUE!
TOTAL VARIATION (TV)
TV = SQ. ROOT(R&R SQUARED + PV SQUARED)
TV = 0.9348266
Percent of Tolerance: 100(EV/Tol) =
Percent of Tolerance: 100(AV/Tol) =
Percent of Tolerance: 100(R&R/Tol) =
Percent of Tolerance: 100(PV/Tol) =
1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 100.000
0.020
0.040
0.060
0.080
0.100
0.120
0.140
Range Chart
A B C UCL MeanTrial Number
Ra
ng
e
printed 04/20/2023 document.xls Page 3 of 3
1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 100.000
0.020
0.040
0.060
0.080
0.100
0.120
0.140
Range Chart
A B C UCL MeanTrial Number
Ra
ng
e
1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 100.000
0.200
0.400
0.600
0.800
1.000
1.200
Averages Chart
A B CUCL Mean LCL
Trial Number
Av
era
ge
Note: You must manually adjust the scale to fit the data.