While it's nice that the big data craze is making statistics more popular in the mainstream press, it is important that statistics does not become just an application of numerical methods without consideration of underlying assumptions. I stress this because this has been largely underappreciated in my experience.
http://krugman.blogs.nytimes.com/2013/05/11/harpooning-ben-b...
Statistics involves inference over prediction, but either one when done right validates assumptions.
By the way big data will sit on your face for days.
A lot of statistics in business does not bother to check modeling assumptions. Models are chosen based on whether they've been used in the past and what the team is familiar with.
I don't doubt that big data (as we call it now) will one day rule. Ronald Fisher would keel over if he saw the size of datasets we work with nonchalantly on a daily basis. 50 data points (the size of the Iris data) is laughable these days.
My reservation with big data is that the technologies are often unnecessary for the size of the tasks being done. Other than a few data scientists working on truly large projects, most of the big data talk I hear comes from people who aren't fighting in the trenches (execs, marketing, journalists).
I suspect a lot of these people doing "big data models" are as you say, ignoring the importance of having solid assumptions.
Oh well, that's exactly in part what brought down the financial collapse: A bunch of kids get a formula (Blach-Scholes) and believe blindly in its magic powers so they apply it to everything. Fast forward several years and we've got what everybody knows.
On the one hand, people are starting to realize that quantitative analysis can help their businesses (mind blowing, right?) -- on the other hand, so much of what you see about "analytics" and "big data" is nonsensical jargon. You have two camps within the OR world: people who want to ride this bandwagon all the way to the bank, and people who want to refocus on getting the message out about what OR really is.
The bandwagon-riders have succeeded to some extent. INFORMS created a monthly "Analytics" magazine[1], created an Analytics Certification[2] (their first professional certification), and so on.
The other camp has a legitimate concern that OR already has an "identity crisis" (operations research vs. management science vs. systems engineering vs. industrial engineering vs. applied math vs. applied statistics etc etc). INFORMS has spent millions trying to get business people to just be aware that it exists. The fear is that hitching our wagon to these trends will just be another blow to our profile when these fad words are replaced by the next big thing.
[1] http://analytics-magazine.org/ (you can get a good feel for the type of content in this publication just by reading the article titles...)
[2] https://www.informs.org/Build-Your-Career/Analytics-Certific...