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Hello,

I have some new questions about factor interactions that I would like to expose
to you.
In my problem I have identified 4 factors (A,B,C and D) with three levels each.
So I adopted a L9 array.
The first level of factor D depends on factor A and C.

According to DOE using Taguchi approach from Ranjit Roy, the trial conditions
are unaffected by interactions and I understand that it means I may start the
experimental research (without previously knowing if there are or not
interaction factors).

I believe that if there are interactions between the factors that I want to
study, its effect is really low.

However I do not know if am I doing it right for factor D since its first level
depends on A and C…

Can I proceed with the 9 tests without knowing those answers? These tests are
expensive and I also do not have enough time to spend.

Is it possible to use QT4 to identify interaction factors and its significant
(or not) after all tests were made using L9 array?

Another question:
both the process of designing the experiment and the statistical analyses of the
results are considered in the Taguchi approach, which is based on the use of
orthogonal array, associated with the analysis of variance (ANOVA), and the
significance test with F statistic.
Why is it used the F statistic and not other type of significance test?

I would appreciate if you could answer to my questions.

Thank you very much.

Ana B.

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Dear Sir
This is my second email that I send you. In fact I become so confused
in using appropriate software for my design. As I told you before I
am looking for an array that include one 12LF , one 2LF and one 3LF
and I find L18(2^1*3^7). For this purpose I upgrade six 3LFs to have
one 12LF (because sum of their DOF is 12 that can be suitable for my
12LF). So I use column 2,3,4,5,6,7 and according to triangle for 3-
level orthogonal array, column 4 and 7 were omitted. Now my question
is "am I use correct orthogonal array?" and "Is there any Software
(e.g. Qualitek4) that can upgrade six 3LF to one 12LF?" or you offer
another way to solving this problem?
I hope you help me because I didn't find anyone that can answer me
and my project has stopped because of this problem.

Best Regards
E. Abasi
School of Industrial engineering, Iran,Azad university

Answer:
To: E. Abasi,

You can use Qualitek-4 software (www.nutek-us.com/wp-q4w.html ) to
design experiments with factors at 2, 3 and 4 levels. I'm not aware
of any software that will let you design experiments with 12 level
factor.

For multi-variable study, you should not have to have a factor at
higher than 4 levels. If you must test a factor at 12 levels,
consider doing so with a separate ONE FACTOR tests.

Good luck with your projects.

- Ranjit Roy  Nutek, Inc.  2/9/09

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Hi Dear

This link may be of some use.

http://www.ee.iitb.ac.in/~apte/CV_PRA_TAGUCHI.htm
http://www.ee.iitb.ac.in/~apte/WhyTaguchiMethodTips.htm

Cheers
Faisal





--- razieh kebriaee <razieh_kebriae@...> wrote:

> Mike
> my reference is the book by the name of" experimental design" by
> Davies
> but it doesn't have your exact answer.
> I will look for the other references but it takes time.
> Razie
>
>
> --- On Wed, 11/5/08, mbonnice <michael.bonnice@...> wrote:
> From: mbonnice <michael.bonnice@...>
> Subject: [DOE_DG] Re: Need a reference on L18 arrays
> To: DOE_DG@yahoogroups.com
> Date: Wednesday, November 5, 2008, 8:34 PM
>
>
>
>
>
>
>
>
>
>
>
>             Razie,
>
>
>
> I would like to have the mathematical equations that produce the
> aliasing pattern in an L18
>
> array having seven factors.  For instance, I would like to see how
> much of the x3*x4
>
> interaction is confounded with the main effect of x5.  I would like
> to see this for all main
>
> effects and two way interactions and three way and higher.  Further,
> I would like to know how
>
> much of the linear effects are confounded with the second order
> effects.
>
>
>
> Some Taguchi references show a things called a linear graph.  I have
> that information, and do
>
> not need it.
>
>
>
> Mike
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>


Nadimul Haque FAISAL

Razie,

I would like to have the mathematical equations that produce the aliasing
pattern in an L18
array having seven factors.  For instance, I would like to see how much of the
x3*x4
interaction is confounded with the main effect of x5.  I would like to see this
for all main
effects and two way interactions and three way and higher.  Further, I would
like to know how
much of the linear effects are confounded with the second order effects.

Some Taguchi references show a things called a linear graph.  I have that
information, and do
not need it.

Mike

is there anyone who can teach me taguchi

iw ould love that  the eprson can semd me pdf  taguchi books  as
attachment in my email address

Can you point me to a reference on the topic of determining the aliasing pattern
of Taguchi
L18 arrays?  I need the hard core math that demonstrates the notion that the
interactions are
spread through all the columns, not a summary or a linear graph.

If you had to answer this question, where would you look?

Mike

Thank you very much for this information. It will be very useful for
me.
Best regards,
AB

--- In DOE_DG@yahoogroups.com, "yn2rkr" <rkr@...> wrote:
>
> Reply to "annamb5" <anabras@...>'s questions.
>
>
> Q1.Supposing that factor interactions were not included in the
> design.
> When doing ANOVA table (with QT4 soft)does the error percent
> influence
> also combines the effects of those interactions?
>
> Ans. Yes. The effects of interactions will also be combined with
the
> effects you find for factors. This would be very common unless you
> can afford to run full-factorial tests.
>
> Q2.In the previous situation, if the confirmation test result (to
the
> optimum solution)is within the confidence interval does it means
that
> there are no interaction factors in that situation?
>
> Ans. If the mean of samples tested at the optimum condition
> (confirmation tests) falls within the confidence interval, it does
> not imply that there is no interaction. It simply means that you
rae
> within your predicted performance in the presence of interaction.
>
> Consequently, it means that the interactions are small and/or they
> nullify each other resulting in total effects that is small.
>
>
> Q3.When applying the automatic test of the presence of interactions
> how
> can I know what factors are significant or not?
>
> Ans. You have no way to know that. Only way to learn about the
> relative influence of interaction is to sacrifice column to study
> interaction. So, what does the SI-interaction (in Qualitek-4
> software, www.nutek-us.com/wp-q4w.html ) information tell you or
when
> can you use it? You can use this information only for future repeat
> tests in deciding which interactions to study should you have
emplty
> column to study interaction.
>
> Hope this would be of help to you.
>
> Good luck.
>
> - RKR 9/9/08
>

Reply to "annamb5" <anabras@...>'s questions.


Q1.Supposing that factor interactions were not included in the
design.
When doing ANOVA table (with QT4 soft)does the error percent
influence
also combines the effects of those interactions?

Ans. Yes. The effects of interactions will also be combined with the
effects you find for factors. This would be very common unless you
can afford to run full-factorial tests.

Q2.In the previous situation, if the confirmation test result (to the
optimum solution)is within the confidence interval does it means that
there are no interaction factors in that situation?

Ans. If the mean of samples tested at the optimum condition
(confirmation tests) falls within the confidence interval, it does
not imply that there is no interaction. It simply means that you rae
within your predicted performance in the presence of interaction.

Consequently, it means that the interactions are small and/or they
nullify each other resulting in total effects that is small.


Q3.When applying the automatic test of the presence of interactions
how
can I know what factors are significant or not?

Ans. You have no way to know that. Only way to learn about the
relative influence of interaction is to sacrifice column to study
interaction. So, what does the SI-interaction (in Qualitek-4
software, www.nutek-us.com/wp-q4w.html ) information tell you or when
can you use it? You can use this information only for future repeat
tests in deciding which interactions to study should you have emplty
column to study interaction.

Hope this would be of help to you.

Good luck.

- RKR 9/9/08

Q1.Supposing that factor interactions were not included in the design.
When doing ANOVA table (with QT4 soft)does the error percent influence
also combines the effects of those interactions?

Ans. Yes. The effects of interactions will also be combined with the
effects you find for factors. This would be very common unless you can
afford to run full-factorial tests.

Q2.In the previous situation, if the confirmation test result (to the
optimum solution)is within the confidence interval does it means that
there are no interaction factors in that situation?

Ans. If the mean of samples tested at the optimum condition
(confirmation tests) falls within the confidence interval, it does not
imply that there is no interaction. It simply means that you rae within
your predicted performance in the presence of interaction.

Consequently, it means that the interactions are small and/or they
nullify each other resulting in total effects that is small.


Q3.When applying the automatic test of the presence of interactions how
can I know what factors are significant or not?

Ans. You have no way to know that. Only way to learn about the relative
influence of interaction is to sacrifice column to study interaction.
So, what does the SI-interaction (in Qualitek-4 software, www.nutek-
us.com/wp-q4w.html ) information tell you or when can you use it? You
can use this information only for future repeat tests in deciding which
interactions to study should you have emplty column to study
interaction.

Hope this would be of help to you.

Good luck.

- RKR 9/9/08

Hello

At 15th August I received an email from Nutek, Inc. about Taguchi DOE
Application Discussions.
Since I am starting to work with DOE applications and with QT4
software, which we recently acquired, I became a member of this
forum.

In this way, I would appreciate if someone could answer to my
previous questions, in this Discussion group.

Thank you very much.

--- In DOE_DG@yahoogroups.com, dhunput khemraj <dhunputkhemraj@...>
wrote:
>
>
> hi  how are you
> how did you got my  address
> you got yahoo messenger or msn?
> please send  me there we can discuss the matter
> --- On Fri, 9/5/08, annamb5 <anabras@...> wrote:
>
> From: annamb5 <anabras@...>
> Subject: [DOE_DG] Factor Interactions in experimental design
> To: DOE_DG@yahoogroups.com
> Date: Friday, September 5, 2008, 6:10 PM
>
>
>
>
>
>
> Hello,
> I am glad that there is a forum about DOE!
> I am starting to work with experimental design and I would like to
ask
> a few questions about that:
>
> 1.Supposing that factor interactions were not included in the
design.
> When doing ANOVA table (with QT4 soft)does the error percent
influence
> also combines the effects of those interactions?
>
> 2.In the previous situation, if the confirmation test result (to
the
> optimum solution)is within the confidence interval does it means
that
> there are no interaction factors in that situation?
>
> 3.When applying the automatic test of the presence of interactions
how
> can I know what factors are significant or not?
>
> Thank you
>

Hello,
I am glad that there is a forum about DOE!
I am starting to work with experimental design and I would like to ask
a few questions about that:

1.Supposing that factor interactions were not included in the design.
When doing ANOVA table (with QT4 soft)does the error percent influence
also combines the effects of those interactions?

2.In the previous situation, if the confirmation test result (to the
optimum solution)is within the confidence interval does it means that
there are no interaction factors in that situation?

3.When applying the automatic test of the presence of interactions how
can I know what factors are significant or not?

Thank you