Abstract Details
Activity Number:
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600
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Type:
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Contributed
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Date/Time:
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Wednesday, August 7, 2013 : 2:00 PM to 3:50 AM
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Sponsor:
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Quality and Productivity Section
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Abstract - #307600 |
Title:
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Sorting Machine Correlation Paradox
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Author(s):
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Emil Bashkansky*+ and Tamar Gadrich
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Companies:
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ORT Braude College of Engineering and ORT Braude College of Engineering
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Keywords:
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qualitative analysis ;
sorting machine ;
binary classification ;
repeatability ;
correlation coefficient ;
joint probability distribution
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Abstract:
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Qualitative analysis is often used to determine whether or not a particular feature appears or is absent in tests. It is widely applied in quality control, identification scans, go/no go measurements and many other fields. Generally, such analysis classifies the analyzed property value into two comprehensive and exclusive classes/categories. The performance of such binary measurement systems (BMS) is usually assessed by false positive and false negative rates. We present an additional statistical aspect related to BMS: consistency/repeatability problem. This feature is examined with the help of the correlation coefficient between the random variables denoting the number of items that were classified as Type 1 (for example) in two sequential sorting processes. It is shown that some intuitively plausible at a first glance concepts such as hypotheses about the binomial distribution of test results or consistency testing by sequentially repeated sorting are wrong if the objective is to conduct a deep examination. The obtained paradoxical results lead to the conclusion that the usual measures are not suitable for estimating consistency and therefore, should be avoided.
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Authors who are presenting talks have a * after their name.
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