introduction to statistical quality control, 5th edition · title: introduction to statistical...
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Ayundyah Kesumawati
Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 2
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 3
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 4
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 5
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 6
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 7
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 8
CUSUM STATUS
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 9
MINITAB VERSION OF CUSUM
STATUS CHART
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 10
MINITAB calculates
the lower cusum this
way
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 11
CUSUM DENGAN
MINITAB
Data lama waktu (tahun) hidup mikrofon sampai rusaknya.
Spesifikasi perusahaan: 2 tahun.
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 12
Data
3 1
1 3
1 5
3 1
3 3
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 13
TABULAR CUSUM
μ1 adalah rata-rata dari sampel = 2,4
σ tidak diketahui, maka diestimasi dengan standar deviasi
= 1,35
K = (| μ1 – μ0|) / 2 = 0,2
h = 5.K = 1
H = σ.h = 1,35
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 14
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 15
TABULAR CUSUM DENGAN
MINITAB
Stat >> Control-ChartS >> CUSUM
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 16
TABULAR CUSUM
Klik Options
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 17
V-MASK CUSUM
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 18
V-MASK CUSUM
K = (| μ1 – μ0|) / 2
h* = h/2
d = h*/K
Contoh:
Data lama waktu (tahun) hidup mikrofon sampai rusaknya.
Spesifikasi perusahaan: 2 tahun.
Data
3 1
1 3
1 5
3 1
3 3
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 19
V-MASK CUSUM
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 20
V-MASK CUSUM
Misal observasi ke 8 adalah outlier.
Bagaimana diagram cusum yang lebih tepat???
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 21
V-MASK CUSUM
• K = (| μ1 – μ0|) / 2
• h* = h/2
• d = h*/K
Rumus di atas tidak mutlak.
Pada beberapa kasus terkadang dipilih K = 0.5 karena pergeseran mean proses yang ingin dideteksi berada dalam rentang 1.
Terkadang pula dipilih nilai h = 4 atau 5, tergantung keperluan.
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 22
V-MASK CUSUM
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 23
V-MASK CUSUM
Stat >> Control-ChartS >> CUSUM
Chapter 8 Introduction to Statistical Quality Control, 5th Edition by Douglas C. Montgomery.
Copyright (c) 2005 John Wiley & Sons, Inc. 24
V-MASK CUSUM
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