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Q-YIELD FAQ

Problems Involving Bins

Suppose we apply 3 tests to a die. If it fails Test A, we put it in BinA, otherwise we try Test B. If it fails Test B, we put it in Bin B. Otherwise we try test C. If it fails test C, we put it in Bin C. Otherwise it is "good" and we put it in Bin D.

Suppose we now wish to examine the reason why a die is in Bin B. Obviously, one major reason is that it passed Test A. If we were looking for clues as to why the die is in Bin B, we would expect to find in the list clues as to why it passed Test A mixed up with clues as to why it failed Test B.

Ideally we would like to look at Test B in isolation. i.e. Consider only those dies which passed Test A, and therefore took Test B and either passed or failed it.
However, die are often tested in batches, and the results are only known at a wafer or batch level.

Our data may initially look something like this:

Wafer Bin A Bin B Bin C Bin D Etc.

0001

23%

10%

3%

64%

 

0002

18%

9%

3%

60%

 

0003

35%

11%

2%

62%

 

etc.

         

But if we consider this data, we realize that on Wafer 0001. Only 77% actually took Test B.

The actual failure rate for Test B is 10 / (100-23), and the actual failure rate for test C is 3/(100-23-10).

This leads to adjusted results which look something like this:

Wafer Bin A Bin B Bin C Bin D Etc.

0001

23%

13%

4%

64%

 

0002

18%

11%

4%

60%

 

0003

35%

17%

4%

62%

 

etc.

         

 

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