The phone screening with the hiring manager was very fair. Just be prepared to answer the standard interview Qs (e.g., "Tell me about a problem you encountered at work and how you solved it") and Qs specifically geared towards your resume.
My second interview (N.B. The hiring manager told me that the hiring process for this position involves only these 2 interviews. Meaning, if I would've made it past the second interview, I would've received an offer from HR.) included 2 Kroger people: the hiring manager and his supervisor. It was described in the letter I received from HR as a "90 minute panel-style interview...featur[ing] Behavior-Based Interviewing." Read that very carefully. "Featuring" means that the interview focuses on behavior-based Qs but includes other stuff as well. Here's the breakdown: 60 minutes of behavior Qs. These are very fair. Just review the Kroger Leadership Model diagram/pdf and prepare specific responses for all 8 listed values.
The next 10 minutes cover job-specific Qs: "Rate yourself on a scale of 1 to 10 on the following." This doesn't require any prep: either you've done this stuff or you haven't. Realize that this is a Lean, Six Sigma driven position. If you don't have relevant experience or training (I didn't) then there's not much you can do or say. Also, be honest on your Excel self-assessment. The hiring manager noted that people who really know Excel tend to rate themselves lower because they realize how powerful and wide-ranging a tool it is. (I rated myself a 7-8 and then proceeded to bomb the test.)
The final 20 minutes (for me, it was closer to 16) are split between an Excel assessment and a process/efficiency fact pattern to analyze.
Re the fact pattern, you're asked how to improve the efficiency of a certain aspect of a given store department. After your time is up, you’ll need to explain your recommendations and thought process to the panel and answer their Qs.
Re the Excel assessment: Be ready. You’ll have roughly 7 Qs to answer (including creating a graph). The spreadsheet is about 2000 lines long and the functions required are advanced: think VLOOKUPS, COUNTIFS, SUMIFS, and the like.