MSA TIPE I 27 Tabel Nilai Kapabilitas, Repeatability dan Bias Pengukuran Gap antar Tube Side B Cg = Kapabilitas potensial Cgk = Kapabilitas Actual EV = Equitment Variation (Repeatability) Operator A Operator B 1 2 3 1 2 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 Kapabilitas Operator A > B.
MSA TIPE II 28 ANOVA Dua Arah Hasil Pengukuran Gap antar Tube Operator Mampu MSA Membedakan acceptable Ukuran dengan part syarat 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 (X 1 ) Side B (X 2 ) Sumber Percent of Study Variation Percent of Tolerance Gage R&R 11,33 15,64 Repeatability 11,25 15,53 Reproducibility 1,34 1,85 Gage R&R 12,54 15,87 Repeatability 10,37 13,13 Reproducibility 7,05 8,93 Number of distinct category 12 11
VISUALISASI MSA TIPE II 29 Gage R&R (ANOVA) for for Result side side A A Gage R&R (ANOVA) for Result side B B POBREP 1 Date of of study: 14 Jan-14 Apr 2013 Reported by: &. POBREP 1 14 Jan-14 Apr 2013 Reported by: &. Percent Sample StDev Sample Mean % Contribution % Study Var 4.0 100 % Tolerance 4.5 4.0 4.25 100 3.2 % Contribution 50 % Study Var 3.5 2.4 0 4.00 Gage R&R Repeat Reprod Part-to-Part X=3.224 UCL=3.284 LCL=3.163 Par ts 4.0 80 3.75 S Chart by 2.5 A tieq Result side A by UC L=0.13253 0.12 4.0 3.50 S=0.08896 0.08 3.5 60 3.2 0.04 LC L=0.04539 3.25 S Chart by 2.4 Par ts A tieq 40 Xbar Chart by UCL=0.13253 0.125 A tieq * Interaction 4.2 0.100 2.75 4.2 3.6 20 S=0.08896 2.5 0.075 X=3.224 UC LC L=3.163 L=3.284 3.6 2.50 Sample Mean Percent Average Sample StDev Components of Variation Xbar Chart by Components Result * side of side Variation A Interaction by A by 0.050 0 Par ts Gage R&R Repeat Reprod A verage Result side A by Part-to-Part LCL=0.04539 Sample StDev Percent Sample Mean Sample StDev Components of Variation % Contribution 4.0 100 % Study Var % Tolerance 4.25 4.0 3.2 50 100 % Contribution 4.00 % Study Var 3.5 2.4 0 4.00 Gage R&R Repeat Reprod Part-to-Part X=3.222 UCL=3.270 LCL=3.175 3.75 Par ts 3.75 80 S Chart by 2.5 A tieq Result side B by 3.50 0.100 UC L=0.10495 4.0 3.50 0.075 60 S=0.07045 3.2 0.050 3.25 3.25 LC L=0.03595 S Chart by 2.4 A tieq 40 0.125 Xbar Chart by A tieq * Interaction 4.2 2.75 0.100 UCL=0.10495 2.75 4.2 3.6 0.075 20 2.50 X=3.222 UC LC L=3.175 L=3.270 3.6 S=0.07045 0.050 2.50 LCL=0.03595 0 Gage R&R Repeat Reprod Part-to-Part Sample Mean Percent Average Xbar Chart by Components * Result side of side Variation B Interaction by B by A verage Result side B by Gambar 4.1 Visualisasi Gage R&R Side A Gambar 4.2 Visualisasi Gage R&R Side B Varian Plot Standar part pengukuran to deviasi part lebih proses berdasarkan besar pengukuran dari operator gage Part R&R, reproducibility Dan Interaction (mean spesial dan operator) part) x-bar repeatability plot chart
KORELASI DAN NORMAL 30 Korelasi Side A dan Side B Gap antar Tube Variabel Korelasi P-value Semua part memiliki korelasi berdasarkan kenyataan di Lapangan Part 1 Part 2 Part 3 Side A Side B Side A Side B Side A Side B 0,183 0,259 0,336 0,034* 0,159 0.327 Part 1, 2 dan 3 Side A Side B 0.981 0.034* Nilai t Uji Distribusi Bivariat Normal Variabel Nilai Distribusi Part 1 0,600 Bivariat normal Part 2 0,650 Bivariat normal Part 3 0.375 Tidak bivariat normal Data Berdistribusi bivariat normal
MSA BIVARIAT POBREP 31 Source P-value Z 1 P-value Z 2 Part 0,000 0,001 Operator 0,264 0,481 Interaksi 0,460 0,003 A 1 1 A 0 1 1 1 1 0 1 Z A 1 X 1 BSA z A UCL 1 BSB z A LCL Hasil Gage study Bivariat dengan Pendekatan POBREP Variabel Sumber Varian Percent of Study Variation Percent of Tolerance Gage R&R 11,33 15,64 Z 1 Repeatability Operator sudah dapat 11,25 15,53 Reproducibility membedakan ukuran 1,34 part 1,85 Gage R&R 9,45 12,45 secara baik Z 2 Repeatability 8,40 11,07 Reproducibility 4,32 5,70 Number of distinct category 12 14
VISUALISASI MSA BIVARIAT 32 Gage R&R (ANOVA) for POBREP A POBREP 1 14 Jan-14 Apr 2013 Percent Sample StDev Sample Mean 100 50 3.6 Components of Variation % Contribution % Study Var % Tolerance 0 Gage R&R Repeat Reprod Part-to-Part S Chart by O perator A O perator B UC L=0.13253 0.12 S=0.08896 0.08 0.04 LC L=0.04539 Xbar Chart by A tieq 4.2 X=3.224 UC LC L=3.163 L=3.284 &. 4.0 3.2 2.4 4.0 3.2 2.4 A verage 4.2 3.6 A tieq POBREP A by POBREP A by * Interaction Gage R&R (ANOVA) for POBREP B POBREP 1 14 Jan-14 Apr 2013 Percent Sample StDev Sample Mean 100 50 0 0.20 0.15 0.10 8.4 7.2 6.0 Gage R&R Repeat Reprod S Chart by O perator A O perator B A tieq Components of Variation Part-to-Part Xbar Chart by % Contribution % Study Var % Tolerance UC L=0.1860 S=0.1248 LC L=0.0637 X=6.446 UC LC L=6.361 L=6.531 &. 8.0 6.5 5.0 8.0 6.5 5.0 A verage 8.4 7.2 6.0 A tieq POBREP B by POBREP B by * Interaction
Component Of Variation Plot 33 33 Gage R&R (ANOVA) for Z1 Gage R&R (ANOVA) for Z2 100 Components of Variation % Contribution % Study Var Components of Variation 80 100 % Contribution % Study Var Percent 60 40 20 Percent 80 60 40 0 Gage R&R Repeat Reprod Part-to-Part 20 0 Gage R&R Repeat Reprod Part-to-Part
S-chart dan x-bar Chart 34 34 Gage R&R (ANOVA) for Z1 Sample Mean Sample StDev 4.0 3.5 2.5 0.125 0.100 0.075 0.050 Xbar Chart by S Chart by X=3.224 UCL=3.284 LCL=3.163 UCL=0.13253 S=0.08896 LCL=0.04539 Gage R&R (ANOVA) for Z2 Sample Mean Sample StDev 8 7 6 5 0.20 0.15 0.10 0.05 Xbar Chart by S Chart by X=6.446 UCL=6.531 LCL=6.361 UCL=0.1860 S=0.1248 LCL=0.0637
Hasil Pengukuran Berdasarkan Part 35 35 Gage R&R (ANOVA) for Z1 Gage R&R (ANOVA) for Z2 4.5 Z1 by 4.0 8.5 Z2 by 3.5 8.0 7.5 7.0 6.5 2.5 6.0 5.5 5.0
36 Hasil Pengukuran Berdasarkan Operator 36 Gage R&R (ANOVA) for Z1 Gage R&R (ANOVA) for Z2 4.5 Z1 by 4.0 8.5 Z2 by 3.5 8.0 7.5 7.0 6.5 2.5 6.0 5.5 5.0
Plot Interaksi 37 37 Gage R&R (ANOVA) for Z1 Gage R&R (ANOVA) for Z2 4.25 4.00 * Interaction * Interaction Average 3.75 3.50 3.25 8.5 8.0 7.5 2.75 Average 7.0 6.5 2.50 6.0 5.5 5.0
PERBANDIANGAN 38 Perbandingan Hasil MSA Univariat dan Bivariat POBREP Metode Percent of Study Variation Percent of Tolerance Number of distinct category Univariat X 1 11,33 15,64 12 X 2 12,54 15,87 11 Bivariat Z 1 11,33 15,64 12 POBREP Z 2 9,45 12,45 14
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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-KwunWang, 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.