Make up of Conference Committees in the New Congress

There was one piece of information not included in your otherwise informative comparison between different Congressional sessions (Jan 19 2007: A31).

How do the sessions compare in terms of the make-up of the conference committees where the final bills are drafted and decided on. My understanding is that in the 109th Congress, the committees were dominated by Majority Party (Republican members. Has this changed? Are the Conference Committees now balanced?

Sent to the New York Times