C OMMUNICATION IN H EALTH C ARE Jacki Byrd, RN, BSN Montgomery County ATC.
Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery....
-
Upload
briana-ryan -
Category
Documents
-
view
259 -
download
3
Transcript of Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery....
![Page 1: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/1.jpg)
Chapter 9 1 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 2: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/2.jpg)
Chapter 9 2 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 3: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/3.jpg)
Chapter 9 3 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
Learning Objectives
![Page 4: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/4.jpg)
Chapter 9 4 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
8.1 The Cumulative Sum Control Chart
![Page 5: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/5.jpg)
Chapter 9 5 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 6: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/6.jpg)
Chapter 9 6 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
The Cumulative Sum Control Chart
![Page 7: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/7.jpg)
Chapter 9 7 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
The Tabular Cusum
![Page 8: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/8.jpg)
Chapter 9 8 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 9: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/9.jpg)
Chapter 9 9 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 10: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/10.jpg)
Chapter 9 10 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
Cusum Status Chart (Figure 9.3a)
![Page 11: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/11.jpg)
Chapter 9 11 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
MINITAB Version of Cusum Status Chart
Minitab calculates the lower Cusum this way
![Page 12: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/12.jpg)
Chapter 9 12 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 13: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/13.jpg)
Chapter 9 13 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
Recommendations for Cusum Design
![Page 14: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/14.jpg)
Chapter 9 14 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 15: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/15.jpg)
Chapter 9 15 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
The Standardized Cusum
![Page 16: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/16.jpg)
Chapter 9 16 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
Improving Cusum Performance for Large Shifts: The Combined Shewhart-Cusum Scheme
![Page 17: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/17.jpg)
Chapter 9 17 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
The Fast Initial Response (FIR) Cusum
K = 3, H = 12, headstart = H/2 = 6
![Page 18: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/18.jpg)
Chapter 9 18 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
H = 12 implies that the cusum signals at sample 3 Without the headstart, it would not signal until sample 6
![Page 19: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/19.jpg)
Chapter 9 19 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 20: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/20.jpg)
Chapter 9 20 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
More on Cusums• Cusums are often used to determine if a process has
shifted off a specified target because it is easy to calculate the required adjustment
• One-sided cusums are often useful• Cusums can also be used to monitor variability• Cusums are available for other sample statistics
(ranges, standard deviations, counts, proportions) • Rational subgroups and cusums
![Page 21: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/21.jpg)
Chapter 9 21 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 22: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/22.jpg)
Chapter 9 22 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
The Cusum V-Mask
![Page 23: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/23.jpg)
Chapter 9 23 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 24: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/24.jpg)
Chapter 9 24 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 25: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/25.jpg)
Chapter 9 25 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 26: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/26.jpg)
Chapter 9 26 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 27: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/27.jpg)
Chapter 9 27 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 28: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/28.jpg)
Chapter 9 28 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
9.2 The Exponentially Weighted Moving Average Control Chart
The EWMA is
![Page 29: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/29.jpg)
Chapter 9 29 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 30: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/30.jpg)
Chapter 9 30 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
Steady-state control limits
![Page 31: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/31.jpg)
Chapter 9 31 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 32: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/32.jpg)
Chapter 9 32 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 33: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/33.jpg)
Chapter 9 33 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 34: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/34.jpg)
Chapter 9 34 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
Design of the EWMA
![Page 35: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/35.jpg)
Chapter 9 35 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 36: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/36.jpg)
Chapter 9 36 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 37: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/37.jpg)
Chapter 9 37 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
Robustness of EWMA toNon-normal Process Data
![Page 38: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/38.jpg)
Chapter 9 38 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 39: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/39.jpg)
Chapter 9 39 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 40: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/40.jpg)
Chapter 9 40 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
Extensions of the EWMA
• Fast initial response feature
• Monitoring variability
• Monitoring count data
• The EWMA as a predictor of process level
![Page 41: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/41.jpg)
Chapter 9 41 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
9.3 The Moving Average Control Chart
![Page 42: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/42.jpg)
Chapter 9 42 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 43: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/43.jpg)
Chapter 9 43 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 44: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/44.jpg)
Chapter 9 44 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
![Page 45: Chapter 91Introduction to Statistical Quality Control, 6 th Edition by Douglas C. Montgomery. Copyright (c) 2009 John Wiley & Sons, Inc.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649f0c5503460f94c1f2a5/html5/thumbnails/45.jpg)
Chapter 9 45 Introduction to Statistical Quality Control, 6th Edition by Douglas C. Montgomery.Copyright (c) 2009 John Wiley & Sons, Inc.
Learning Objectives