Interpretation of Shewart's Control Chart
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![Page 1: Interpretation of Shewart's Control Chart](https://reader033.fdocuments.in/reader033/viewer/2022051616/553e38e8550346252e8b4925/html5/thumbnails/1.jpg)
Interpreting Control Charts
Shewart-Control Charts
Ahmed S. Shaban TA, Industrial Engineering Dept., Faculty of Engineering, Fayoum
University
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Control Chart Zones
![Page 8: Interpretation of Shewart's Control Chart](https://reader033.fdocuments.in/reader033/viewer/2022051616/553e38e8550346252e8b4925/html5/thumbnails/8.jpg)
Out-of-Control Patterns
1- Freak
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Out-of-Control Patterns
2- Freaks Pattern
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Freaks Pattern Analysis
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Freaks Pattern Analysis – Cont.
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Example 1. Mark the out-of-control points
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Example 1: Solution
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Example 2. Mark the out-of-control points
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Example 2: Solution
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Example 3. Mark the out-of-control points
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Example 3: Solution
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Example 4. Mark the out-of-control points
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Example 4: Solution
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Out-of-Control Patterns
3- Shifts
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Shift Pattern Analysis
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Shift Pattern Analysis
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An Example for Shifts
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Example 5. Mark the out-of-control points
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Example 5: Solution
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Example 6. Mark the out-of-control points
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Out-of-Control Patterns
4- Runs and Trends
Test1: Seven or more consecutive points are gradually
increasing
Test2: 10 out of 11 points are gradually increasing
Test3: Visual Judgment
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Probability Calculations for Trends
First Approach
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Probability Calculations for Trends
Second Approach
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Trend Pattern Analysis
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Trend Pattern Analysis – Cont.
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Example 7. Mark the out-of-control points
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Example 8. Mark the out-of-control points
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Out-of-Control Patterns
5- Cycles
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Cycles Pattern Analysis
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Example 9. Mark the out-of-control points
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Out-of-Control Patterns
6- Grouping
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Grouping Pattern Analysis
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Example 10. Identify the out-of-control pattern
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Example 10. Solution
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Out-of-Control Patterns
7- Instability
1. More than one-third of the points lie outside the center
± 1σ or more than 5 percent of the points fall in or
beyond the outer 1σ bands.
2. The chart has a steep, zig-zag pattern
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Instability Pattern Analysis
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Example 11. Identify the out-of-control pattern
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Out-of-Control Patterns
8- Stable Mixture
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Stable Mixture Pattern Analysis
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Example 12. Identify the out-of-control pattern
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Out-of-Control Patterns
9- Stratification
Test: More than 14 consecutive points fall in the C zone (±
1σ band).
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Stratification Pattern Analysis
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Example 13. Identify the out-of-control pattern
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New Trends to Detect Control
Charts Patterns
• Statistical Approaches
• Artificial Neural Networks (ANN)
• Fuzzy Logic