# Alpha a and Beta Errors - PowerPoint PPT Presentation

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## Alpha a and Beta Errors

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### Alpha (a) and Beta ( ) Errors. Knowing Your Risks. Ron Sedlock. ASQ Jacksonville. Education Chair ... rsedlock_at_msn.com. www.thequalitycatalyst.com. Back to ... – PowerPoint PPT presentation

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Title: Alpha a and Beta Errors

1
Alpha (a) and Beta (ß) Errors
Back to Basics

2
a and ß in 15 minutes
• Tests of Hypothesis
• Auditing
• Acceptance Sampling
• Design of Experiments
• Control Charts
• Summary

3
The Risks Associated witha Jury Trial
Conclusion
Truth
4
The Risks Associated withTests of Hypothesis
Conclusion
Truth
5
The Risks Associated withAuditing
Conclusion
Truth
6
The Risks Associated withAcceptance Sampling
Conclusion
Truth
7
Operating Characteristic (OC) Curve
Example Sample Plan n50 (acc 5 rej 6)
100
• ? Risk
• Type I Error
• Producers Risk
• AQL

Probability of acceptance ()
• ? Risk
• Type II Error
• Consumers Risk
• LTPD

0
Actual defective ()
8
The Risks Associated withDesign of Experiments
Conclusion
Truth
9
The Risks Associated withControl Charts
Conclusion
Truth
10
The a and ß on Control Charts
3s Mean -3s
Important Analyzing patterns on control charts
reduces ß error.
11
Summary
• There is a and ß in any decision we make based on
a sample --- even if we dont use statistics.
• If one is fixed (typically a) the other is varies
(typically ß).
• Decreasing one, increases the other.
• Increasing sample size will decrease both.
• Bottom Line What is the risk if we make a ß or
a error.

12
Coming Attractions
• Next Month ---
• Process Capability Measurements