I'm not sure if there's already a measuring scale for CAT within families, but I would love to initiate a discussion on this (seeing that it's been more than 3 weeks since you posted this question and no replies so far). Disclaimer: I'm sorry I'm not an expert on this subject, so pardon my french!

The "family" I'm considering for purpose of this discussion is the "immediate family" (parents & children, excluding step-relations). For communication accomodation in families, we would consider the most basic level (zero level) in the measuring scale, right. so basically no accomodation ('cause we're still dealing with mother tongue). Having said that, in families within internal conflicts (multi-ethnic, cross-cultural, broken parenting, single-parent family, etc) the Level 0 in CAT could be branched down further into sub-levels. let's call them Level0-A, Level0-B and so on; Level0-A being the least effort taken to converge.

for CAT in Level0-A, B, etc considering just "language" would not give us much opportunity to explore the psychological space. So let's consider "context" and mainly "identity" as criteria for the CAT within families?

I hope you find this useful as a discussion-starter.

http://en.wikipedia.org/wiki/Communication_accommodation_theory

Oh.. and here's a DOC file I found on the internet which has some measuring scales (level 1 - 5) for CAT

https://www.google.co.in/url?sa=t&rct=j&q=&esrc=s&source=web&cd=3&cad=rja&ved=0CEoQFjAC&url=http%3A%2F%2Fhost.uniroma3.it%2Fdocenti%2Fboylan%2Ftext%2Fboylan32.doc&ei=5GBRUfP5MY354QSL6IDQBg&usg=AFQjCNHG6mju8TnRiWYjHRavjJouViBeFg&bvm=bv.44158598,d.bGE

Thanks for your reply Jacob. I appreciate your help. I was actually thinking of the accommodation of homosexuals in families. The article you have sent seems to be focusing on the language which doesn't apply to my case. However, language can be an important factor in CAT in international context.

I was also thinking of considering the accommodation of homosexuals in the society/socials contexts instead of families, but I need to find a proper scale first.

Getting disappointed with the scale for CAT, I found "feeling of understanding/misunderstanding" scale which could help.

okay, but i don't think there is such a CAT scale readily available. you might have to create one. btw, can you link me to the "feeling of understanding/misunderstanding" scale? I would like to read on that

It is in this book. There are many other scales of communication which might seem interesting to you.

http://books.google.fi/books?id=I0DdaRCRjPQC&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false