Shainin DOE - Paired Comparison? Background of this theory? Binomial distribution?

S

Stevenli

#1
Recently I joined a Shainin DOE training, one of them are Paired Comparison. The method is as describled as following:

Identify eight Very good parts and eight Very bad parts which are having the problem that is under analysis.
. List as many Product characteristiscs/parameters which may explain the difference between the Good and Bad parts (This list is based on the engineering judgement of the person/team). List it in the descending order or importance to the problem.
. Measure all the Good parts and bad parts for the parameters identified above. There will then be totally 16 values.
. Arrange the 16 values in the rank order (start from the smallest to the largest or the largest to the smallest) irrespective of whether they are good or bad.
. Write against each value whether that particular value corresponds to a bad or Good part. If it belongs to the good part write ‘G’ within bracket after the value. If it belongs to the bad part, write ‘B’ within bracket after the value.
. From the top, find out when for the first time, the Good changes to Bad (or) the Bad changes to Good.
. Draw a line at the change point (For eg., if the change occurs after the 5th data, draw a line after the fifth data).
. From the bottom, find out when for the first time, the Good changes to Bad (or) the Bad changes to Good.
. Draw a line at the change point (For eg., if the change occurs after the 15th value from the bottom, draw a line between 15 & 16).
. Find out the top count (Count the number of values till the line is drawn).
. Find out the Bottom count (Count the number of values till the line is drawn from the bottom).
. Add both these counts to find the Total count.
. If the Total count <=5, then that quality parameter or product characteristic is not the reason for the problem.
. If the Total count is = 6, it can be concluded that at 90% confidence level, it is this quality parameter or product characteristic that is leading to the problem.

Confidence level for other counts

Number of Total count Confidence level
6 90%
7 95%
10 99%
13 99.90%


Now my questions, where is the background of this theroy? binomial distribution? Does any experts can show me any clues?

Thanks a lot!:applause:
 
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Bev D

Heretical Statistician
Staff member
Super Moderator
#3
actually, it's Tukey-Duckworth
and the table is a little more complicated than that but that's the gist. The actual claculation should be doen by selectign an alpha level, then knowing the sample size for good and bad, you can claculate the required minmium total count (or tukey-duckworth sum) requried to achieve the specified alpha rate...

Tukey, John W., “A Quick, Compact, Two Sample Test to Duckworth’s Specifications”, Technometrics, vol. 1, February 1959, pp. 31-48.
 
B

Bill Ryan - 2007

#4
The major problem is that you won't get much help with Shainen princilples/methodolody unless you go to a trianing session. They are not very "public" with their approach. There are plenty of other "methodologies" to look at if you are trying to go through "Design of Experiments".

As far as to give the "background" - I'm too dangrous :rolleyes: to even think of giving you advice but I'm certain some more, fellow, Covers will chime in.
 
S

Stevenli

#5
Fully agree, Shainin is not very public, and in the past without a PC and related software. It's very easy to use.
Anyhow the advantage of it would be simplifization.
 

Bev D

Heretical Statistician
Staff member
Super Moderator
#6
Bill Ryan said:
The major problem is that you won't get much help with Shainen princilples/methodolody unless you go to a trianing session. They are not very "public" with their approach.
True they aren't readily accessable but they have published several articles and Keki Bhote wrote a book based primarily on their methods "World Class Quality" that is helpful
It is important to recognize that many of their methods have been around for quite some time under different names but are simply not well advertised. For example, the method described above is really just a 'post hoc' hypothesis test on multiple input (X) factors that could correlate to the good/bad output. The statistics used was developed by Tukey in the 50s...I use this technique a LOT and it works. especially for field failures or other time dependent failures. Some times simple works a whole lot better than complex!
 

Statistical Steven

Statistician
Staff member
Super Moderator
#7
Bev D said:
True they aren't readily accessable but they have published several articles and Keki Bhote wrote a book based primarily on their methods "World Class Quality" that is helpful
It is important to recognize that many of their methods have been around for quite some time under different names but are simply not well advertised. For example, the method described above is really just a 'post hoc' hypothesis test on multiple input (X) factors that could correlate to the good/bad output. The statistics used was developed by Tukey in the 50s...I use this technique a LOT and it works. especially for field failures or other time dependent failures. Some times simple works a whole lot better than complex!
Be careful what you say...are you implying that there were statistical methods before Six Sigma? Or are you saying that Six Sigma relies on existing statistical methods?
 

Bev D

Heretical Statistician
Staff member
Super Moderator
#8
Statistical Steven said:
Be careful what you say...are you implying that there were statistical methods before Six Sigma? Or are you saying that Six Sigma relies on existing statistical methods?
Huh? where did that comment come from? While I am a proponent of Six Sigma 'done right', I have NEVER said that the world began with Six Sigma or that Six Sigma is the only way to go. I was heavily involved in statistical approaches and quality improvements long before Six Sigma and I have never implied otherwise. In fact I have a huge library of OLD statistical and quality articles that I still refer to and cherish.

That comment was simply uncalled for.
 

Statistical Steven

Statistician
Staff member
Super Moderator
#9
Bev D said:
Huh? where did that comment come from? While I am a proponent of Six Sigma 'done right', I have NEVER said that the world began with Six Sigma or that Six Sigma is the only way to go. I was heavily involved in statistical approaches and quality improvements long before Six Sigma and I have never implied otherwise. In fact I have a huge library of OLD statistical and quality articles that I still refer to and cherish.

That comment was simply uncalled for.
Whoa...sorry Bev, it was meant as a tongue in cheek comment. Most six sigma practioners are anti-statistics, though the basis for 6-sigma is statistics. It was not a personal comment, just a tongue in cheek sarcastic comment. I AM SORRY.
 

Jim Wynne

Staff member
Admin
#10
Bev D said:
Huh? where did that comment come from? While I am a proponent of Six Sigma 'done right', I have NEVER said that the world began with Six Sigma or that Six Sigma is the only way to go. I was heavily involved in statistical approaches and quality improvements long before Six Sigma and I have never implied otherwise. In fact I have a huge library of OLD statistical and quality articles that I still refer to and cherish.

That comment was simply uncalled for.
Bev, I think that if you look back over Steven's contributions here you'll find that you and he are pretty much in sync on this subject. His observation was pretty clearly intended as irony. I think we all can agree that as far as statistical analysis is concerned, there isn't much that's new--there's just repackaging of tried-and-true methods for marketing purposes.
 
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