It varies so much. I only have experience at SLACs, but here's what I know, if you are interviewing for an SLAC position:
- You meet some students, usually over lunch (and they are going to want to know about your teaching and mentoring style; what kinds of opportunities you'd bring to the department in terms of their ability to get research experience, leading clubs, or whatever else; what topics you teach; what your attitude towards students is; etc.)
- You will meet with the members of the search committee, either individually or together (the search committee may be comprised entirely of psychology faculty, or it may be a mix of psychology faculty and faculty from other departments - at small schools, the search chair may not even be in psychology, so it really depends). Sometimes, the search committee is a subset of the department, and sometimes there is just a search chair and the whole rest of the department serves as the "search committee."
- You will meet with the Dean of Faculty or some other high-level administrative person, who will be responsible for the details of your contract (though you may not negotiate with them directly - it could be via the department chair, who conveys your requests to the dean)
- You will probably meet with at least one other person outside the department who is relevant to whether or not you are hired. This could be the President, or members of the Tenure committee, or a committee designed exclusively to evaluate job candidates (I met with one such committee whose main focus was diversity and evaluating candidates' potential contribution to that goal)
- You may meet with someone from HR to go over the details of the benefits package, etc.
- You may be given a tour of the area, or if they do not offer this, they may do it by request. You will definitely get a tour of the campus.
- Unless your travel plans preclude it, you will usually be taken out to dinner by 2+ people, usually a subset of the search committee/department faculty
- You will give some kind of presentation. It may be a teaching demonstration (20 minutes to an hour), it may be a standard "job talk" (you speak for 45 minutes about your research and, if you are savvy, opportunities for students to get involved in your research), or it may be some kind of hybrid (I have been asked at two places to just talk about whatever for 45 minutes - my research, a teaching topic, or whatever, just to show what I am like as a speaker). Some places ask for both a job talk and a teaching demo, but that has not happened to me personally.
It varies so widely what you are asked in each of these situations that is hard to give any general advice. By this stage of the process, they have decided you are good, so it's less about your qualifications and more about fit - how will you fit there in terms of your personality and interests? To some extent, your ability to teach what they need and your enthusiasm about doing so makes a difference, but smaller things matter, too. For example, if someone in department X is looking for a collaborator, or office Y is looking for someone to spearhead a project, are you qualified and interested in filling those types of roles? How will you contribute to the community?
Aside from that, I think they are just looking to see that you are thoughtful, engaging, and personable, and that the students respond well to you.
I hope this helps… it's anxiety-provoking, but if you think about it as a test drive (to find out if you are a fit for them and vise versa), then the only proper way to approach that is to be yourself, because while you may be able to act different for a day or two, in the long run (over the 6 years you are being evaluated for tenure), you can't pretend forever, nor would you want to. Do your best to open your mind and really see yourself there, then imagine what that would be like and share those thoughts with the people you meet (so they can get an idea, too). If both parties like what they see, you get the job. As long as you sleep enough and eat and whatever else you need to make sure you represent yourself at your best to the people you meet, you will have done it "right."