MSA TIPE I 27
Tabel Nilai Kapabilitas , Repeatability dan Bias Pengukuran Gap antar Tube Side B 1
Operator A 2
1
Operator B 2
3
3
Cg
1,42
1,45
1,69
0,62
0,59
0,97
Cgk
1,21
1,45
0,89
0,52
0,34
0,22
EV (%)
14,10
13,76
11,82
32,43
34,10
20,59
EV dan Bias (%)
16,59
13,76
22,52
38,15
59,31
91,51
Cg = Kapabilitas potensial Cgk = Kapabilitas Actual EV = Equitment Variation (Repeatability) Kapabilitas Operator A > B.
MSA TIPE II 28
ANOVA Dua Arah Hasil Pengukuran Gap antar Tube
Operator Mampu MSA Membedakan acceptable Ukuran dengan partsyarat dengan sangat baik
Source
P-value (Side A)
P-value (Side B)
Part
0,000
0,003
Operator
0,264
0,591
Interaksi
0,460
0,000
Persentase Study Variation, Tolerance dan Number of Distinct Category Variabel
Side A (X1)
Side B (X2)
Sumber
Percent of Study Variation
Percent of Tolerance
Gage R&R Repeatability Reproducibility Gage R&R Repeatability Reproducibility
11,33 11,25 1,34 12,54 10,37 7,05
15,64 15,53 1,85 15,87 13,13 8,93
Number of distinct category 12
11
VISUALISASI MSA TIPE II 29 Gage side A AA Gage R&R R&R(ANOVA) (ANOVA)for for forResult Result Result side side Reported by: by: Atieq & Irfan A. Reported Reported Reported by: by: Tolerance: Tolerance: Tolerance: Tolerance: Misc:Misc: Misc: Misc:
Sample M ean
4.2 3.6 3.0
3.252.00
1.00
1.00
Result side A by Operators UC L=0.13253
3.00 _
1.00 4.0
S=0.08896 Parts
2.00
3.00
3.2
LC L=0.04539
3.00
1.00 Par ts
2.00
S Chart by Operators 2.4 3.00
A tieq
Irfan A
Parts * Operators Interaction 3.6
Irfan A
3.0
2.00 3.00 1.00 1.00 Atieq 2.00 3.00 2.00 2.00 0 1.00 Par1.00 3.00 1.00 ts 2.00 Gage R&R Repeat Parts Operators Parts Reprod Parts
UCL=0.13253 _ Operators S=0.08896 Atieq
1.00
3.00Irfan A 3.00 2.002.00 3.00 3.00 Part-to-Part Parts
Gambar 4.1 Visualisasi Gage R&R Side A
LCL=0.04539
50
4.25 4.0 100 4.00
Result side B by Parts
Xbar Chart by Operators % Contribution Parts Components *Result Operators Result side of side Variation BInteraction by B4.0 by Operators Parts % Study Var
Atieq
% Tolerance
Irfan A
1.00
2.00
3.00
1.00 Par ts
2.00
2.4 1.00
UCL=3.270 X=3.222 3.00 LCL=3.175
2.00 Par ts
Result side B by Operators 4.0 1.00
2.00
3.00
3.2
S Chart by Operators 2.4 3.00
3.003.00 40 Atieq 0.125 Xbar Chart by Operators A tieq Irfan A 4.2 2.75 0.100 2.75 3.6 20 0.075 2.50 3.0 2.50 0.050 1.00
% Contribution Operators % Study AtieqVar __ Irfan A
3.2
3.5 0 4.00 Gage R&R Repeat Reprod Part-to-Part 3.75 3.0 3.75 80 S Chart by Operators 2.5 A tieq Irfan A 3.50 UC L=0.10495 0.100 3.50 1.00 2.00 3.00 _ 0.075 Parts S=0.07045 60 0.050 3.25 3.25 LC L=0.03595
Irfan A Operators
4.2 __ UC L=3.284 X=3.224 LC L=3.163
P er cent
UCL=3.284 3.00 X=3.224 LCL=3.163
2.00 Par ts
100
Sample Mean
2.4 Part-to-Part
40 Atieq 3.0 3.00 Xbar Chart by Operators 0.125 A tieq Irfan A 0.100 2.75 20 2.50.075 2.50 0.050
% Contribution Operators % Study Var Atieq __ Irfan A
3.2
3.5 4.00 Repeat Reprod 3.0 4.0 80 S Chart by Operators 3.75 2.5 A tieq Irfan A 1.00 2.00 3.50 3.5 60
1.00
Irfan A
Percent A verage
0.04
% Tolerance
Sample StDev
0.08
Atieq
Gage R&R
Percent A verage
0.12
Sample StDev
Sample StDev
0
Components of Variation
Sample M ean
50
4.5 4.25 4.0 100
Reported by:by: Reported Reported by:Atieq & Irfan A. Tolerance: Tolerance: Tolerance: Misc: Misc: Misc:
POBREP 1 14 Jan-14 Apr 2013
Result side A by Parts
Xbar Chart by Operators % Contribution Parts Components Result * Operators Result side ofside Variation AInteraction by A by Operators Parts 4.0 % Study Var
A v er age
100
Sample Mean
P er cent
Components of Variation
Gage Gage name: name: Date Date of of study: study:
A tieq
Irfan A
Parts * Operators InteractionUCL=0.10495 __ UC L=3.270 X=3.222 LC L=3.175
Operators _ Atieq S=0.07045 Irfan A
3.6 3.0
2.00 3.00 1.00 1.00 Atieq 2.00 3.00 2.00 2.00 0 1.00 3.00 1.00 Par ts 2.00 Gage R&R Repeat Parts Operators Parts Reprod Parts
1.00
3.00Irfan A 3.00 2.00 2.00 3.00 3.00 Part-to-Part P arts
Gambar 4.2 Visualisasi Gage R&R Side B
Varian Plot Plot Standar part pengukuran pengukuran to deviasi part lebih proses berdasarkan berdasarkan besarpengukuran dari operator gage Part R&R, plotchart reproducibility Dan Interaction (mean spesial (meandan operator) part) x-bar repeatability
Irfan A Operators
4.2 A v er age
POBREP 1 14 Jan-14 Apr 2013
Sample StDev
Gage Gage name: name: Date Date of of study: study:
Gage Gage R&R R&R (ANOVA) (ANOVA)for forResult Result Resultside side sideBBB
LCL=0.03595
KORELASI DAN NORMAL 30
Korelasi Side A dan Side B Gap antar Tube Variabel Semua part memiliki korelasi berdasarkan kenyataan di Lapangan
Part 1 Part 2 Part 3 Part 1, 2 dan 3
Side Side Side Side Side Side Side Side
A B A B A B A B
Korelasi
P-value
0,183
0,259
0,336
0,034*
0,159
0.327
0.981
0.034*
Nilai t Uji Distribusi Bivariat Normal Variabel
Nilai
Distribusi
Part 1 Part 2
0,600 0,650
Bivariat normal Bivariat normal
Part 3
0.375
Tidak bivariat normal
Data Berdistribusi bivariat normal
MSA BIVARIAT POBREP 31
Source Part Operator Interaksi
P-value Z1 0,000 0,264 0,460
P-value Z2 0,001 0,481 0,003
1 0 A 1 1
Z A1 X
1 0 A1 1 1
BSAz A1UCL
BSBz A1LCL Hasil Gage study Bivariat dengan Pendekatan POBREP Variabel
Z1
Z2
Sumber Varian
Percent of Study Variation
Gage R&R 11,33 Repeatability 11,25 Operator sudah dapat Reproducibility 1,34 membedakan ukuran part Gage R&R secara baik 9,45 Repeatability 8,40 Reproducibility 4,32
Percent of Tolerance 15,64 15,53 1,85 12,45 11,07 5,70
Number of distinct category 12
14
VISUALISASI MSA BIVARIAT 32
Gage R&R (ANOVA) for POBREP A Reported by: Tolerance: Misc:
POBREP 1 14 Jan-14 Apr 2013
Atieq & Irfan A.
% Contribution % Study Var % Tolerance
100
Gage name: Date of study:
4.0 3.2
50
Reprod
Sample StDev
S Chart by Operators O perator A
U C L=0.13253
0.12
_ S =0.08896
0.08 0.04
2.00
3.00 1.00 P ar ts
2.00
3.00
A tieq
6.5 5.0 0
G age R&R
2.4 Irfan A O per ator s
Parts * Operators Interaction
Irfan A 4.2 _ _ U CL=3.163 L=3.284 X=3.224 LC
3.0 1.00
2.00
3.00 1.00 P ar ts
2.00
Repeat
Reprod
1.00
P art-to-P art
S Chart by Operators A tieq
3.6
8.0
50
LC L=0.04539
A v er age
Sample M ean
% Contribution % Study Var % Tolerance
100
3.2 1.00
POBREP B by Parts
3.00
4.0
Xbar Chart by Operators 4.2
2.00 P ar ts
POBREP A by Operators
O perator B
Atieq & Irfan A.
Components of Variation 1.00
P art-to-P art
P er cent
Repeat
Reported by: Tolerance: Misc:
POBREP 1 14 Jan-14 Apr 2013
2.4 G age R&R
Operators Atieq Irfan A
3.6
Sample StDev
0
Gage R&R (ANOVA) for POBREP B
POBREP A by Parts
0.20
O perator A
1.00
2.00 P ar ts
3.00
3.00
0.15
_ S =0.1248
0.10
8.0 6.5
LC L=0.0637 1.00
2.00
3.00 1.00 P ar ts
2.00
3.00
5.0 A tieq
8.4
A tieq
Irfan A O per ator s
Xbar Chart by Operators
3.00
2.00 P ar ts
POBREP B by Operators
O perator B U C L=0.1860
3.0
Sample M ean
P er cent
Components of Variation
Parts * Operators Interaction
Irfan A 8.4
7.2
_ _ U CL=6.361 L=6.531 X=6.446 LC
6.0 1.00
2.00
3.00 1.00 P ar ts
2.00
A v er age
Gage name: Date of study:
Operators Atieq Irfan A
7.2 6.0
3.00 1.00
2.00 P ar ts
3.00
Component Of Variation Plot 33 33
Gage R&R (ANOVA) for Z1 Reported by: Tolerance: Misc:
Gage name: Date of study:
Gage R&R (ANOVA) for Z2 Reported by: Tolerance: Misc:
Gage name: Date of study:
Components of Variation % Contribution % Study Var
100
Components of Variation % Contribution % Study Var
100
60
80
40 Percent
Percent
80
20
0
Gage R&R
Repeat
Reprod
Part-to-Part
60
40
20
0
Gage R&R
Repeat
Reprod
Part-to-Part
S-chart dan x-bar Chart 34 34
Gage R&R (ANOVA) for Z1 Reported by: Tolerance: Misc:
Gage name: Date of study:
Gage R&R (ANOVA) for Z2
Irfan A
4.0 __ UCL=3.284 X=3.224 LCL=3.163
3.5 3.0 2.5 1.00
2.00
3.00
1.00
2.00
3.00
Parts
Xbar Chart by Operators Atieq Sample Mean
Sample Mean
Atieq
S Chart by Operators Atieq
0.075 0.050
LCL=0.04539 3.00
1.00 Parts
6 5 2.00
3.00
2.00
3.00
1.00
2.00
3.00
Parts
S Chart by Operators
_ S=0.08896
0.100
2.00
__ UCL=6.531 X=6.446 LCL=6.361
7
UCL=0.13253
0.125
1.00
Irfan A
8
1.00
Irfan A
Sample StDev
Sample StDev
Reported by: Tolerance: Misc:
Gage name: Date of study:
Xbar Chart by Operators
0.20
Atieq
Irfan A UCL=0.1860
0.15
_ S=0.1248
0.10
LCL=0.0637
0.05 1.00
2.00
3.00
1.00 Parts
2.00
3.00
Hasil Pengukuran Berdasarkan Part 35 35
Gage R&R (ANOVA) for Z1 Reported by: Tolerance: Misc:
Gage name: Date of study:
Gage R&R (ANOVA) for Z2
Z1 by Parts
Reported by: Tolerance: Misc:
Gage name: Date of study:
4.5
Z2 by Parts
4.0
8.5 8.0
3.5
7.5 7.0
3.0
6.5 2.5
6.0 1.00
2.00 Parts
3.00
5.5 5.0 1.00
2.00 Parts
3.00
Hasil Pengukuran Berdasarkan Operator 36 36 Gage R&R (ANOVA) for Z1 Reported by: Tolerance: Misc:
Gage name: Date of study:
Gage R&R (ANOVA) for Z2
Z1 by Operators
Reported by: Tolerance: Misc:
Gage name: Date of study:
4.5
Z2 by Operators
4.0
8.5 8.0
3.5
7.5 7.0
3.0
6.5 2.5
6.0 Atieq
Irfan A Operators
5.5 5.0 Atieq
Irfan A Operators
Plot Interaksi 37 37 Gage R&R (ANOVA) for Z1 Reported by: Tolerance: Misc:
Gage name: Date of study:
Gage R&R (ANOVA) for Z2
Parts * Operators Interaction 4.25
Operators Atieq Irfan A
Parts * Operators Interaction
3.75
8.5
3.50
8.0
Operators Atieq Irfan A
7.5
3.25 Average
A verage
4.00
Reported by: Tolerance: Misc:
Gage name: Date of study:
3.00 2.75
7.0 6.5 6.0
2.50 1.00
2.00 Parts
3.00
5.5 5.0 1.00
2.00 Parts
3.00
PERBANDIANGAN 38
Perbandingan Hasil MSA Univariat dan Bivariat POBREP
Metode Univariat Bivariat POBREP
X1 X2 Z1 Z2
Percent of Study Variation
Percent of Tolerance
Number of distinct category
11,33 12,54 11,33 9,45
15,64 15,87 15,64 12,45
12 11 12 14
39
KESIMPULAN DAN SARAN 40
Kesimpulan • Gage R&R MSA univariat berada dalam rentang 10-30%, pengukuran acceptable dengan syarat. • Gage R&R MSA bivariat berada dalam rentang 10-30%, pengukuran acceptable dengan syarat • MSA bivariat menghasilkan nilai gage R&R lebih kecil, namun gage R&R MSA univariat dan bivariat berada dalam rentang 10-30%, pengukuran acceptable dengan syarat. Operator dapat membedakan part secara baik (ndc)
Saran • Penentuan POBREP sebaikanya dilakukan dengan melibatkan pihak perusahaan. • Penelitian selanjutnya diharapkan dapat mengembangkan MSA POBREP dengan menggunakan incomplete dan complete basis matrix .
DAFTAR PUSTAKA 41
Anggraini, G. (2012). Analisis Sistem Pengukuran Cylinder Head dengan Menggunakan Gage repeatability dan Reproducibility pada PT. Astra Honda Motor. Jakarta: Universitas Gunadarma. Barton R.R, G.-B. D. (1996). Process-oriented basis representations for multivariate process diagnostics. Quality Enginnering 9 , 107-118. Ford Chrysler, G. (1995). Measurement system analysiss (2nd). Detroit: MI:Automotive Idustry Action Group. Fu-Kwun Wang, T.-W. C. (2010). Process-oriented basis representation fo multivariate gauge study. Computers & Industrial engineering , 143-150. Johnson, R. A. (2007). Applied Multivariate Statistical Analysis. United State: Pearson Education, Inc. Kooshan, F. (2012). Implementation of Measurement System Analysis (MSA): in the Piston Ring Company "Case Study". International Journal of Science and Technology . Mongomery, D. C. (2009). Introduction to Statistical Quality Control. United State: John Wiley & Sons Inc.
DAFTAR PUSTAKA 42
Montgomery, D. C. (2001). Design and Analysis Of experiments (5 ed.). United States of America: John Wiley & Sons, Inc. Montgomery, D. C., & Subanar, D. (1995). Pengendalian Kualitas Statistik. Yogyakarta: Gadjah Mada University Press. Montgomery, D. C., & Woodall, W. H. (2008). An Overview of Sig Sigma. International Statistical Review , 329-346. Morrison, D. F. (1990). Multivariate Statistical Methods Third Edition. USA: Mc Graw Hill Inc. Roth, T. (2012). Working With The QualityTool Package. Shu-Guang He, G. A. (2011). Multivariate Measurement System Analysis in Multisite Testing: An Online Technique Using Principal Component Analysis. Expert Systems With Application , 14602-14608. Tracy N. D, R. M. (1995). Decomposition of T2 for Multivariate Control Chart Interpretation. Jurnal of Quality Technology , 27(2), 109-119.
43
SEMINAR TUGAS AKHIR 26 Juni 2013 Luh Made Pramitasari (1309100046)
PENERAPAN MEASUREMENT SYSTEMS ANALYSIS UNIVARIAT DAN BIVARIAT PROCESS ORIENTED BASIS REPRESENTATION PADA PENGUKURAN GAP ANTAR TUBE DI PT. ALSTOM POWER ESI SEMINAR TUGAS AKHIR 26 Juni 2013 Luh Made Pramitasari (1309100046) Pembimbing : Dr. Muhammad Mashuri, MT.
