Greyhound (http://www.greyhound.com/). From Chicago, 3.5 hours.
Amtrak (http://www.amtrak.com): Lafayette is on the Cardinal/Hoosier state line. From Chicago, 3.5 hours.
Shuttle Bus from Chicago O'Hare Airport (http://www.expressaircoac...) 3 hours, $69.
Shuttle Bus from Chicago O'Hare Airport (http://www.lafayettelimo....) 3 hours, $60.
Purdue Airport (http://www.purdue.edu/AIRPORT/) does not carry commercial flights, but does allow private landings.
Lafayette Limo (http://www.lafayettelimo.com/) shuttle from Lafayette to the Indianapolis Airport, $27 one way, $50 round trip, around 1.5 hours.
Star of America (http://www.starofamerica.com/) shuttle from Lafayette to the Indianapolis Airport, $19 one way, $38 round trip, around 1.5 hours, free wi-fi on shuttle.
Suburban Express (http://www.suburbanexpres...) bus service between Purdue and the Chicago suburbs. Goes Purdue->Chicago on Friday, Chicago->Purdue on Sunday. $25 each way.