I was reading the text wrong and believed that the 12 responses were 12 observations. How many observations did you have?
Does the DOE here means design of experiments? Was it a "usual" design like a two-level factorial?
Lawrence is using the words 'interaction' and 'correlation' in a little bit different way than what is usual in statistics.
(What is "IDVs"?)
Hi GretaGarbo,
My apologies to have those words incorrectly used. Please allow me to clarify the confusion.
You are right that I am working on a Design of Experiment. It is a 4-factors, 12 responses, 2 level full factorial design.
From my understanding, the 4-factors here are considered as "Independent variables (IDVs)" while the 12 responses are the items to be measured, and are considered as "Dependent Variables (DVs)".
As far as I know, ANOVA is capable of determining the influence of
the 4 factors on the 12 responses, which has been done already.
It is believed that apart from the influence mentioned, the 12 responses also affect or at least change with each other.
What I am desperately trying to develop is a set of equations which capture the relationship between these 12 responses.
I don't know whether it is actually achievable or not. However I keep reading articles on Internet that say MANOVA or Multivariate regression can do it, although they don't demonstrate the procedure of how it is done.
It must quite frustrating to discuss with a statistic amateur like me. I appreciate your patience and input.