Tabel Nilai Kapabilitas, Repeatability dan Bias Pengukuran Gap antar Tube Side B Cg 1,42 1,45 1,69 0,62 0,59 0,97

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27 Cg = Kapabilitas potensial

Cgk = Kapabilitas Actual

EV = Equitment Variation (Repeatability)

Tabel Nilai Kapabilitas , Repeatability dan Bias Pengukuran Gap antar Tube Side B

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

MSA TIPE I

Kapabilitas Operator A > B.

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28 Source

P-value (Side A)

P-value (Side B)

Part

0,000

0,003

Operator

0,264

0,591

Interaksi

0,460

0,000

ANOVA Dua Arah Hasil Pengukuran Gap antar Tube

Persentase Study Variation, Tolerance dan Number of Distinct Category

Variabel

Sumber

Percent of Study

Variation

Percent of

Tolerance

Number of

distinct

Side A (X

₁

)

Gage R&R

11,33

15,64

12 Repeatability

11,25

15,53

Reproducibility

1,34

1,85

Side B (X

₂

)

Gage R&R

12,54

15,87

11 Repeatability

10,37

13,13

Reproducibility

7,05

8,93

MSA acceptable

dengan syarat

MSA TIPE II

Operator Mampu

Membedakan

Ukuran part dengan

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29 Gambar 4.1 Visualisasi Gage

R&R Side A

Gambar 4.2 Visualisasi Gage

R&R Side B

Part-to-Part Reprod Repeat Gage R&R 100 50 0 P e r c e n t % Contribution % Study Var % Tolerance 3.00 2.00 1.00 3.00 2.00 1.00 0.100 0.075 0.050 Parts S a m p le S tD e v _ S=0.07045 UC L=0.10495 LC L=0.03595 A tieq Irfan A 3.00 2.00 1.00 3.00 2.00 1.00 4.2 3.6 3.0 Parts S a m p le M e a n __ X=3.222 UC L=3.270 LC L=3.175 A tieq Irfan A 3.00 2.00 1.00 4.0 3.2 2.4 Parts Irfan A A tieq 4.0 3.2 2.4 Operators 3.00 2.00 1.00 4.2 3.6 3.0 Parts A v e r a g e Atieq Irfan A Operators

Gage name: POBREP 1 Date of study: 14 Jan-14 Apr 2013

Reported by: Atieq & Irfan A. Tolerance: Misc:

Components of Variation

S Chart by Operators

Xbar Chart by Operators

Result side B by Parts

Result side B by Operators

Parts * Operators Interaction

Gage R&R (ANOVA) for Result side B

Part-to-Part Reprod Repeat Gage R&R 100 50 0 P e r c e n t % Contribution % Study Var % Tolerance 3.00 2.00 1.00 3.00 2.00 1.00 0.12 0.08 0.04 Parts S a m p le S tD e v _ S=0.08896 UC L=0.13253 LC L=0.04539 A tieq Irfan A 3.00 2.00 1.00 3.00 2.00 1.00 4.2 3.6 3.0 Parts S a m p le M e a n __ X=3.224 UC L=3.284 LC L=3.163 A tieq Irfan A 3.00 2.00 1.00 4.0 3.2 2.4 Parts Irfan A A tieq 4.0 3.2 2.4 Operators 3.00 2.00 1.00 4.2 3.6 3.0 Parts A v e r a g e Atieq Irfan A Operators

Result side A by Parts

Result side A by Operators

Gage R&R (ANOVA) for Result side A

Varian part to part lebih besar dari gage R&R,

reproducibility dan repeatability

Standar deviasi proses pengukuran

Dan spesial x-bar chart

Plot pengukuran berdasarkan Part

(mean part)

Plot pengukuran berdasarkan operator

(mean operator)

Interaction plot

VISUALISASI MSA TIPE II

Part-to-Part Reprod Repeat Gage R&R 100 80 60 40 20 0 P e rc e n t % Contribution % Study Var Gage name: Date of study: Reported by: Tolerance: Misc:

Components of Variation

Gage R&R (ANOVA) for Result side A

Components of Variation

Gage R&R (ANOVA) for Result side B

3.00 2.00 1.00 3.00 2.00 1.00 0.125 0.100 0.075 0.050 Parts S a m p le S tD e v _ S=0.08896 UCL=0.13253 LCL=0.04539 Atieq Irfan A 3.00 2.00 1.00 3.00 2.00 1.00 4.0 3.5 3.0 2.5 Parts S a m p le M e a n __ X=3.224 UCL=3.284 LCL=3.163 Atieq Irfan A Gage name: Date of study: Reported by: Tolerance: Misc:

S Chart by Operators

Xbar Chart by Operators

Gage R&R (ANOVA) for Result side A

S Chart by Operators

Xbar Chart by Operators

Gage R&R (ANOVA) for Result side B

3.00 2.00 1.00 4.5 4.0 3.5 3.0 2.5 Parts Gage name: Date of study: Reported by: Tolerance: Misc:

Result side A by Parts

Gage R&R (ANOVA) for Result side A

3.00 2.00 1.00 4.25 4.00 3.75 3.50 3.25 3.00 2.75 2.50 Parts Gage name: Date of study: Reported by: Tolerance: Misc:

Result side B by Parts

Gage R&R (ANOVA) for Result side B

Irfan A Atieq 4.5 4.0 3.5 3.0 2.5 Operators Gage name: Date of study: Reported by: Tolerance: Misc:

Result side A by Operators

Gage R&R (ANOVA) for Result side A

Irfan A Atieq 4.25 4.00 3.75 3.50 3.25 3.00 2.75 2.50 Operators Gage name: Date of study: Reported by: Tolerance: Misc:

Result side B by Operators

Gage R&R (ANOVA) for Result side B

3.00 2.00 1.00 4.00 3.75 3.50 3.25 3.00 2.75 2.50 Parts A v e ra g e Atieq Irfan A Operators Gage name: Date of study: Reported by: Tolerance: Misc:

**Parts * Operators Interaction**

Gage R&R (ANOVA) for Result side B

3.00 2.00 1.00 4.25 4.00 3.75 3.50 3.25 3.00 2.75 2.50 Parts A v e ra g e Atieq Irfan A Operators Gage name: Date of study: Reported by: Tolerance: Misc:

**Parts * Operators Interaction**

Gage R&R (ANOVA) for Result side A

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30 Variabel

Korelasi

P-value

Part 1 Side A

0,183

0,259

Side B

Part 2 Side A

0,336

0,034*

Side B

Part 3 Side A

0,159

0.327 Side B

Part 1, 2 dan 3

Side A

0.981 0.034*

Side B

Variabel

Nilai

Distribusi

Part 1 0,600

Bivariat normal

Part 2 0,650

Bivariat normal

Part 3

0.375 Tidak bivariat normal

Nilai t Uji Distribusi Bivariat Normal

Korelasi Side A dan Side B Gap antar Tube

Semua part memiliki

korelasi

berdasarkan

kenyataan di

Lapangan

Data Berdistribusi

bivariat normal

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31 X

A

Z





1 UCL

A

BSA

_z





1 LCL

A

BSB

_z





1 Hasil Gage study Bivariat dengan Pendekatan POBREP

Variabel

Sumber Varian

Percent of Study

Variation

Percent of

Tolerance

Number of

distinct category

Z

₁

Gage R&R

11,33

15,64

12 Repeatability

11,25

15,53

Reproducibility

1,34

1,85

Z

₂

Gage R&R

9,45

12,45

14 Repeatability

8,40

11,07

Reproducibility

4,32

5,70

















1

0

1 A

















1

0

1

1 A

Source

P-value Z

₁

P-value Z

₂

Part

0,000

0,001

Operator

0,264

0,481

Interaksi

0,460

0,003

MSA BIVARIAT POBREP

Operator sudah dapat

membedakan ukuran part

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32

P art-to-P art Reprod Repeat G age R&R 100 50 0 P e rc e n t % Contribution % Study Var % Tolerance 3.00 2.00 1.00 3.00 2.00 1.00 0.12 0.08 0.04 P ar ts S a m p le S tD e v _ S=0.08896 U C L=0.13253 LC L=0.04539 O perator A O perator B 3.00 2.00 1.00 3.00 2.00 1.00 4.2 3.6 3.0 P ar ts S a m p le M e a n __ X=3.224 U C L=3.284 LC L=3.163 A tieq Irfan A 3.00 2.00 1.00 4.0 3.2 2.4 P ar ts Irfan A A tieq 4.0 3.2 2.4 O per ator s 3.00 2.00 1.00 4.2 3.6 3.0 P ar ts A v e ra g e Atieq Irfan A Operators

POBREP A by Parts

POBREP A by Operators

Gage R&R (ANOVA) for POBREP A

P art-to-P art Reprod Repeat G age R&R 100 50 0 P e rc e n t % Contribution % Study Var % Tolerance 3.00 2.00 1.00 3.00 2.00 1.00 0.20 0.15 0.10 P ar ts S a m p le S tD e v _ S=0.1248 U C L=0.1860 LC L=0.0637 O perator A O perator B 3.00 2.00 1.00 3.00 2.00 1.00 8.4 7.2 6.0 P ar ts S a m p le M e a n __ X=6.446 U C L=6.531 LC L=6.361 A tieq Irfan A 3.00 2.00 1.00 8.0 6.5 5.0 P ar ts Irfan A A tieq 8.0 6.5 5.0 O per ator s 3.00 2.00 1.00 8.4 7.2 6.0 P ar ts A v e ra g e Atieq Irfan A Operators

POBREP B by Parts

POBREP B by Operators

Gage R&R (ANOVA) for POBREP B

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Component Of Variation Plot

33

33 Components of Variation

Gage R&R (ANOVA) for Z1

Components of Variation

Gage R&R (ANOVA) for Z2

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S-chart dan x-bar Chart

34

34 S Chart by Operators

Xbar Chart by Operators

Gage R&R (ANOVA) for Z1

3.00 2.00 1.00 3.00 2.00 1.00 0.20 0.15 0.10 0.05 Parts S a m p le S tD e v _ S=0.1248 UCL=0.1860 LCL=0.0637 Atieq Irfan A 3.00 2.00 1.00 3.00 2.00 1.00 8 7 6 5 Parts S a m p le M e a n __ X=6.446 UCL=6.531 LCL=6.361 Atieq Irfan A Gage name: Date of study: Reported by: Tolerance: Misc:

S Chart by Operators

Xbar Chart by Operators

Gage R&R (ANOVA) for Z2

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Hasil Pengukuran Berdasarkan Part

35

3.00 2.00 1.00 8.5 8.0 7.5 7.0 6.5 6.0 5.5 5.0 Parts Gage name: Date of study: Reported by: Tolerance: Misc:

Z2 by Parts

Gage R&R (ANOVA) for Z2

3.00 2.00 1.00 4.5 4.0 3.5 3.0 2.5 Parts Gage name: Date of study: Reported by: Tolerance: Misc:

Z1 by Parts

Gage R&R (ANOVA) for Z1

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Hasil Pengukuran Berdasarkan

Operator

36

Irfan A Atieq 4.5 4.0 3.5 3.0 2.5 Operators Gage name: Date of study: Reported by: Tolerance: Misc:

Z1 by Operators

Gage R&R (ANOVA) for Z1

Irfan A Atieq 8.5 8.0 7.5 7.0 6.5 6.0 5.5 5.0 Operators Gage name: Date of study: Reported by: Tolerance: Misc:

Z2 by Operators

Gage R&R (ANOVA) for Z2

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Plot Interaksi

37

37 **Parts * Operators Interaction**

Gage R&R (ANOVA) for Z2

**Parts * Operators Interaction**

Gage R&R (ANOVA) for Z1

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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

POBREP

Z

₁

11,33

15,64

12 Z

₂

9,45

12,45

14

38 Perbandingan Hasil MSA Univariat dan Bivariat POBREP

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40 • 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)

Kesimpulan

• Penentuan POBREP sebaikanya dilakukan dengan melibatkan pihak

perusahaan.

• Penelitian selanjutnya diharapkan dapat mengembangkan MSA POBREP

dengan menggunakan incomplete dan complete basis matrix .

Saran

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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

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United State: John Wiley & Sons Inc.

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Yogyakarta: Gadjah Mada University Press.

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42

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43 SEMINAR TUGAS AKHIR

26 Juni 2013

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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 :