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9/30/2012. TM 720: Statistical Process Control. 2. Assignment: . Reading:Finish Chapter 6
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1. 9/30/2012 TM 720: Statistical Process Control 1 TM 720 - Lecture 09 Control Charts for Individuals
2. 9/30/2012 TM 720: Statistical Process Control 2 Assignment: Reading:
Finish Chapter 6 & 9+
6.4 (pp. 231 – 238)
9.1 – 9.1.5 (pp. 400 – 410)
9.2 – 9.2.4 (pp. 419 – 425)
9.3 (pp. 425 – 430)
End Chapter 8
Sections 8.4 – 8.8
Start Chapter 10
Sections 10 – 10.3.3
Assignments:
Obtain the Chart Factors table from Materials Page
Access Excel Template for P, NP, C, & U Control Charts:
Download Assignment 6 for practice
Use the data on the HW6 Excel sheet to do the charting, verify the control limits by hand calculations
Access Excel Template for Individuals Control Charts
3. 9/30/2012 TM 720: Statistical Process Control 3 Review Shewhart Control charts
Are for sample data from an approximate Normal distribution
Three lines appear on all Shewhart Control Charts
UCL, CL, LCL
Two charts are used:
X-bar for testing for change in location
R or s-chart for testing for change in spread
We check the charts using 4 Western Electric rules
Attributes Control charts
Are for Discrete distribution data
Use p- and np-charts for tracking defective units
Use c- and u-charts for tracking defects on units
Use p- and u-charts for variable sample sizes
Use np- and c-charts with constant sample sizes
4. 9/30/2012 TM 720: Statistical Process Control 4 Individual Measurements Sometimes repeated measures in a subsample don't make sense:
inventory level
accounts payable – price of an item
Other reasons for using individual measurements
Variation in sample only reflects measurement error, e.g., batch production of chemicals
Automated inspection – every unit is analyzed
Production rate very slow – inconvenient to wait for large enough sample
5. 9/30/2012 TM 720: Statistical Process Control 5 Control Charts for Individual Measurements Notes about Individuals Charts:
Sample points must be relatively frequent
There is more sampling error (false alarm & insensitivity)
Sample points tend to be non-normal
points are not averages and central limit theorem does not apply
Control Chart Types for Individuals:
Shewhart x-chart and Moving Range chart (2 charts!)
MA – Moving Average chart
EWMA – Exponentially Weighted Moving Average chart
CUSUM – Cumulative Sum chart
6. 9/30/2012 TM 720: Statistical Process Control 6 Moving Range Control Chart MR2i = |xi – xi-1| - or - MR3i = |xi – xi-2|* Computation of the Moving Range: