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Part No. & Name: Characteristics: Specifications: 6 Upper Spec # of Trials = 0 Xbar diff = 0 Lower Spec # of appraisers = 0 Rbarbar = #DIV/0! 0 Total Tol 0 # of parts = 0 #N/A Appraiser/Trial # Part Average 1 2 3 4 5 6 7 8 9 10 A 1 2 3 Average Range B 1 2 3 Average Range C 1 2 3 Average Range Part Average Xbarbar = #DIV/0! 0 Rbarbar ### Rbarbar = #DIV/0! Xbar diff # Xbar diff = 0.000000 ### UCL R = #DIV/0! Gage Repeatability and Reproducibility Study (Data Collection Sheet) K 1 = D 4 = K 2 = R p = K 3 = Xbar a = Rbar a = Xbar b = Rbar b = Xbar c = Rbar c = R p = * UCL R Gage Name / Type : Gage Number: Date: Performed by: Process Sigma:

Gage Repeatability and Reproducibility Study

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Page 1: Gage Repeatability and Reproducibility Study

Signature (Performed by) :____________________

Part No. & Name:

Characteristics:

Specifications: 6

Upper Spec # of Trials = 0 Xbar diff = 0

Lower Spec # of appraisers = 0 Rbarbar = #DIV/0! 0

Total Tol 0 # of parts = 0 #N/A

Appraiser/Trial #Part

Average1 2 3 4 5 6 7 8 9 10

A 1

2

3

Average

Range

B 1

2

3

Average

Range

C 1

2

3

Average

Range

Part AverageXbarbar = #DIV/0!

0

Rbarbar ### Rbarbar = #DIV/0!

Xbar diff # Xbar diff = 0.000000

### UCL R = #DIV/0!

Gage Repeatability and Reproducibility Study(Data Collection Sheet)

K 1 = D

4 =

K 2 = R

p =

K 3 =

Xbar a =

Rbar a =

Xbar b =

Rbar b =

Xbar c =

Rbar c =

Rp =

* UCL R

Gage Name / Type :

Gage Number:

Date:

Performed by:

Process Sigma:

Page 2: Gage Repeatability and Reproducibility Study

Signature (Performed by) :____________________

Remarks :

*D4 = 3.27 for 2 trials and 2.58 for 3 trials. UCLR represents the limit of individual R’s. Circle those that are beyond this limit. Identify the cause and correct. Repeat these readings using the same appraiser and unit as originally used or discard values and re-average and recompute R and the limiting value from the remaining observations.

Page 3: Gage Repeatability and Reproducibility Study

Signature (Performed by) :____________________

0

Part No. & Name: Date:

Characteristics: Performed by:

Specifications: Gage Number:

Upper Spec 0 # of Trials = 0 Xbar diff = 0

Lower Spec 0 # of appraisers = 0 Rbarbar = 0

Total Tol 0 # of parts = 0

Measurement Unit Analysis % Total Variation

Repeatability - Equipment Variation (EV) Percent Equipment Variation

EV = %EV = 100 [ EV / TV ]

= 0 Trials = Err:502

= 0 2 0.8862 = #N/A %

3 0.5908

Reproducibility - Appraiser Variation (AV) Percent Appraiser Variation

AV = SQRT{(Xbar diff x K 2)^2 - (EV^2/[(# parts) x (# trials)])} %AV = 100 [ AV / TV ]

= 0 = #N/A

= 0 Appraisers 2 3 = #N/A %

K2 0.7071 0.5231

Repeatability & Reproducibility (GRR) Percent Gage Repeatability & Reproducibility Variation

GRR = SQRT[ (EV^2) + (AV^2) ] %GRR = 100 [ GRR / TV ]

= SQRT [ 0 + 0 ] = Err:502 < 10% Acceptable

= 0 = #N/A % 10% - 30% Can be acceptable

> 30%Not Accepted

Part Variation (PV) Parts Percent Part Variation

PV = 2 0.7071 %PV = 100 [ PV / TV ]

= #N/A 3 0.5231 = #N/A

4 0.4467 = #N/A %

Total Variation (TV) 5 0.4030

TV = SQRT[ (GRR^2) + (PV^2) ] 6 0.3742 Number of Distinct Categories that can be Distinguished

= Err:502 7 0.3534 ndc = 1.41( PV / GRR )

= #N/A 8 0.3375 = #N/A

9 0.3249 = #N/A or approximately: #N/A

10 0.3146

Gage Repeatability and Reproducibility Study(% STUDY VARIATION)

Gage Name / Type :

K1 = D

4 =

K2 = R

p =

K3 =

(Rbarbar) x (K1)

K1

K3

Rp x K

3

Page 4: Gage Repeatability and Reproducibility Study

Signature (Performed by) :____________________

0

Part No. & Name: Date:

Characteristics: Performed by:

Specifications: Gage Number: Process Sigma 6

Upper Spec 0 # of Trials = 0 Xbar diff = 0

Lower Spec 0 # of appraisers = 0 Rbarbar = 0

Total Tol 0 # of parts = 0

Measurement Unit Analysis % Total Tolerance

Repeatability - Equipment Variation (EV) Percent Equipment Variation

EV = (Rbarbar) x (K1) %EV = 100 [ EV / (Total Tol/6) ]

= 0 Trials = 100 [0 / 0 ]

= 0 2 0.8862 = #DIV/0! %

3 0.5908

Reproducibility - Appraiser Variation (AV) Percent Appraiser Variation

AV = SQRT{(Xbar diff x K 2)^2 - (EV^2/[(# parts) x (# trials)])} %AV = 100 [ AV / (Total Tol/6) ]

= 0 = 100 [0 / 0 ]

= 0 Appraisers 2 3 = #DIV/0! %

K2 0.7071 0.5231

Repeatability & Reproducibility (GRR) Percent Gage Repeatability & Reproducibility Variation

GRR = SQRT[ (EV^2) + (AV^2) ] %GRR = 100 [ GRR / (Total Tol/6) ]

= SQRT [ 0 + 0 ] = 100 [0 / 0 ] < 10% Acceptable

= 0 = #DIV/0! % 10% - 30% Can be acceptable

> 30%Not Accepted

Part Variation (PV) Parts Percent Part Variation

PV = SQRT[ (TV^2) - (GRR^2) ] 2 0.7071 %PV = 100 [ PV / (Total Tol/6) ]

= SQRT { (0)^2 - (0)^2 } 3 0.5231 = #N/A

= #N/A 4 0.4467 = #N/A %

5 0.403

Total Variation (TV) 6 0.3742 Number of Distinct Categories that can be Distinguished

TV = (Upper Spec - Lower Spec)/6 7 0.3534 ndc = 1.41( PV / GRR )

= ( - )/6 8 0.3375 = #N/A

= 0 9 0.3249 = #N/A or approximor approximately: #N/A

10 0.3146

Gage Repeatability and Reproducibility Study(% TOLERANCE)

Gage Name / Type :

K1 = D

4 =

K2 = R

p =

K3 =

K1

K3

Page 5: Gage Repeatability and Reproducibility Study

Revision Summary :

Date Revision Summary11/24/2011 Excel Formula for Appraiser Variation Corrected : Appraiser Variation is '0',

incase of 'negative value' under Square Root Sign) - as per Page 120 of MSA Manual