Hi!
I need help with this question:
Consider the general two-way loglinear model between x and Y at a fixed level k of Z,
Using zero-sum constraints, show that parameters in the general three-way loglinear model satisfy
(a)
(b)
(c)
(d)
(e)
(f)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
I think that the zero-sum constraints in the two-way loglinear model are (but I'm not sure):
And the zero-sum constraints in the three-way loglinear model are:
However, I do not see how I can use these constraints to prove the parts (a)-(f).
For example, in part (b) I get
How can I use the constraints to show that the equation above is true?
Please help me.