Hello All,
I have a problem. I only have limited resources to run a DoE to nail the causality.
The problem is that I have a 1 Response and 3 Potential Causes and they exhibit the following conditions
- For all 3 there is a strong 1-to-1 correlation against the Response.
- All three factors are strongly correlated as well.
- Practical knowledge says the relationship could either be any of this
-- Y = f(X1, X2, X3)
-- Y = f(X3), and X3 = f(X1, X2)
-- Y = f(X3), while X3 = f(X2), and X2 = f(X1).
-Running a General Linear model on these models says all factors are significant
My question is is there a way to figure out which model is the most probable? I want to know the mechanism on which drives which. Is it the complex one where X1, X2, X3 --> Y, or the simple one where X1 -->X2-->X3-->Y? And if the relationship X1 -->X2-->X3-->Y is true, how to know which factor i s the root trigger of the chain responses?
It matters because I want to know which one to resolve, is it all factors or just X1.
Any idea/help on how to proceed would be appreciated.
Thanks
I have a problem. I only have limited resources to run a DoE to nail the causality.
The problem is that I have a 1 Response and 3 Potential Causes and they exhibit the following conditions
- For all 3 there is a strong 1-to-1 correlation against the Response.
- All three factors are strongly correlated as well.
- Practical knowledge says the relationship could either be any of this
-- Y = f(X1, X2, X3)
-- Y = f(X3), and X3 = f(X1, X2)
-- Y = f(X3), while X3 = f(X2), and X2 = f(X1).
-Running a General Linear model on these models says all factors are significant
My question is is there a way to figure out which model is the most probable? I want to know the mechanism on which drives which. Is it the complex one where X1, X2, X3 --> Y, or the simple one where X1 -->X2-->X3-->Y? And if the relationship X1 -->X2-->X3-->Y is true, how to know which factor i s the root trigger of the chain responses?
It matters because I want to know which one to resolve, is it all factors or just X1.
Any idea/help on how to proceed would be appreciated.
Thanks