CyberC1
My theory on interview invites...
So my theory on interview invites are that the "rockstar" applicants that have great stats and resumes will get the bulk of the interviews in the first wave (no need to go in depth as much into reading the essays yet). The folks who are not obvious rock stars in their stats/resumes are put off into another pile for deeper essay screening. As the adcom looks through this pile, subsequent waves of invites are sent off (greater reason for an invite is needed in these poor soul's case). Perhaps this is just my brain's way of consoling my lack of an invite.
I'm not sure I would agree with this theory. There are something like 9500 +/- people who apply to Harvard, and I'm sure plenty of them have extraordinarily high GMAT/GPA's. However if you can't put together a well written essay, I can't imagine HBS wanting you in their class (so why waste time interviewing you). However, if you have the stats + a well written essay, then they need to interview you to make sure you haven't locked yourself in your bedroom for the last 10 years studying for the gmat and playing warcraft.
This is how I look at it. You get an interview if you:
1) Awesome stats, awesome essay - the interview is a mere formality, it's yours to blow
2) Slightly below avg HBS stats, but awesome essay - you piqued their interest and they want to know more
3) Slightly below average HBS stats, good/ok essay, but you have incredible work experience (navy seal, olympian, medal of honor winner) - also piqued their interest and want to know more
4) URM candidates that fall within a certain stat range
5) Status quo person - average stats (for HBS), banker/consultant, well written essay but nothing earth shattering or creative (this is the bulk I'd imagine).
That's just my theory though

I should probably get back to doing something more productive, hah