This article is one of the best descriptions I've read about what a Business Analyst is. A highly recommended read to any BAs who are struggling with verbalizing their job!
However, I'm still going to use the "I have people skills, dammit!" quote to describe what my job is when I'm at happy hour! :)
Many times I have heard BA's using the phrase - "I feel like the meat in the sandwich, being crushed from both sides," and I usually retort = "It is eventually the meat that provides the taste."
To be able to overcome this lack of authority a BA needs to utilize the following:
a. attentive and centered listening, and do this while challenging the brain to process information in parallel
b. influencing people, dealing with hidden agendas, and resolving conflicts (that range from professional to political to personal)
c. influencing people to perform tasks, often which they may not really like to do
d. interrogating people while building and maintaining relationships
e. educating and training people who may not want to be educated or trained in the subject
In short, a BA is expected to push people towards results using influencing skills.