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.

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

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

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.

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.

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.

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.

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

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

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

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

Cluster and classification Data: n data with p variables Distance: Euclidean, Statistical, Minkowski, Chapter 11 Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012  John Wiley & Sons, Inc.

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

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

Supervised Cluster and prediction: Data : independent and dependent X,y Regression and logistic regression Discriminant analysis Chapter 11 Introduction to Statistical Quality Control, 7th Edition by Douglas C. Montgomery. Copyright (c) 2012  John Wiley & Sons, Inc.