1. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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2. Learning Objectives Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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3. 11.1 Multivariate Quality Control
Many situations require the simultaneous monitoring or control of two or more related quality characteristics
For example, consider a bearing with both an inner diameter (x1) and an outer
diameter (x2) that together determine the usefulness of a part
Monitoring the characteristics independently can be very misleading
Refer to Figures 11.1 and 11.2
Use of multiple independent control charts distorts the simultaneous monitoring of the averages
Type I error and probability of a point correctly plotting in control are not equal to advertised levels for the individual control charts
Distortion in process-monitoring procedures increases as the number of quality characteristics increases to
Pr{all p means plot in control} = (1  )p (11.2)
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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4. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Copyright (c) 2013  John Wiley & Sons, Inc.

5. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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6. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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7. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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8. Multivariate data Chapter 11
Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012  John Wiley & Sons, Inc.

9. Chapter 11
Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012  John Wiley & Sons, Inc.

10. Chapter 11
Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012  John Wiley & Sons, Inc.

11. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Copyright (c) 2013  John Wiley & Sons, Inc.

12. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Copyright (c) 2013  John Wiley & Sons, Inc.

13. Chapter 11
Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012  John Wiley & Sons, Inc.

14. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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15. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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16. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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17. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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18. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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19. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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20. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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21. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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22. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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23. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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24. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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25. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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26. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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27. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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28. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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29. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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30. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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31. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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32. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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33. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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34. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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35. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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36. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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37. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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38. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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39. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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40. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Copyright (c) 2013  John Wiley & Sons, Inc.

41. Control chart for variability
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Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012  John Wiley & Sons, Inc.

42. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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43. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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44. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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45. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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46. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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47. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Copyright (c) 2013  John Wiley & Sons, Inc.

48. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Copyright (c) 2013  John Wiley & Sons, Inc.

49. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Chapter 11
Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Copyright (c) 2013  John Wiley & Sons, Inc.

50. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Copyright (c) 2013  John Wiley & Sons, Inc.

51. Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
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Statistical Quality Control, 7th Edition by Douglas C. Montgomery.
Copyright (c) 2013  John Wiley & Sons, Inc.

52. Cluster and classification
Data: n data with p variables
Distance: Euclidean, Statistical, Minkowski,
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Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012  John Wiley & Sons, Inc.

53. 모든 군집에서 두 개의 군집을 선택하여 군집간의 거리를 산출하고 최소의 거리를 가지는 두 군집을 하나의 군집으로 합한다.
Cluster and grouping
Procedure:
Linkage method:
각 개체를 하나의 군집으로 간주한다.
모든 군집에서 두 개의 군집을 선택하여 군집간의 거리를 산출하고 최소의 거리를 가지는 두 군집을 하나의 군집으로 합한다.
모든 군집이 하나의 군집이 될 때까지 계속한다.
군집간 거리 계산:
Single linkage:
Complete linkage:
Average linkage:
Centroid linkage:
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Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012  John Wiley & Sons, Inc.

54. K-means: K 개의 군집을 중심좌표를 고려하여 모든 개체를 가까운 군집에 배정
Ward’s method:
군집내의 제곱합 계산:
비계층적 군집방법
K-means: K 개의 군집을 중심좌표를 고려하여 모든 개체를 가까운 군집에 배정
K 개의 객체좌표를 선정
- 각 개체를 가까운 군집에 배정
새로운 중심좌표선정
K-medoids: 중심객체 의 선정: PAM, CLARA
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Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012  John Wiley & Sons, Inc.

55. Supervised Cluster and prediction:
Data : independent and dependent X,y
Regression and logistic regression
Discriminant analysis
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Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012  John Wiley & Sons, Inc.