What Is a Grouping Factor in Graphical Modelling?

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A grouping factor in graphical modeling refers to a fixed variable that categorizes data, allowing for the analysis of response densities across different levels of that variable. The discussion highlights the importance of understanding how these factors influence the interpretation of data in graphical models. There is some confusion regarding the term, as it is also used in computer graphics to describe a measure of distance between objects. Participants suggest that further clarification and resources are needed to better understand the concept within the context of graphical modeling. Overall, the need for specialized terminology and resources is emphasized to aid comprehension.
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I am staring a course in graphical modelling, and I have no idea what this is.

For example, if I is a fixed grouping factor, and Y is a response, then it is natural to examine the densities fY/I (y/i) for each level i of I.

Thanks!
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
I don't believe that has anything to do with probability or statistics. My understanding of "grouping factor" in computer graphics is that the "grouping factor" for a collection of objects is a single number that measures the overall distance between the objects. There are a number of different ways of finding that. One is to take the distance from the "center" of the group to the object most distance from that center.
 
Maybe it's this subject: http://en.wikipedia.org/wiki/Graphical_model The terminology in specialized applications of that sort isn't widely known in the general mathematical community. Paalfis should give a link to material that defines the terms - or else get lucky and attract the attention of a specialist.
 
I was reading a Bachelor thesis on Peano Arithmetic (PA). PA has the following axioms (not including the induction schema): $$\begin{align} & (A1) ~~~~ \forall x \neg (x + 1 = 0) \nonumber \\ & (A2) ~~~~ \forall xy (x + 1 =y + 1 \to x = y) \nonumber \\ & (A3) ~~~~ \forall x (x + 0 = x) \nonumber \\ & (A4) ~~~~ \forall xy (x + (y +1) = (x + y ) + 1) \nonumber \\ & (A5) ~~~~ \forall x (x \cdot 0 = 0) \nonumber \\ & (A6) ~~~~ \forall xy (x \cdot (y + 1) = (x \cdot y) + x) \nonumber...
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