In cooking terms, to burn a meal to the point where it is virtually unservable; to grossly overseason a dish so that it is inedible; or to perform some other act of gross incompetence.
If you combine four pounds of ground hamburger with four pounds of refried beans, you may be clever enough to become a cook at Taco Tim's. But, if you foolishly add six pounds of jalapeno peppers to that mixture, you've just Randallized it and there will be a lot of complaints from the customers.
To artfully avoid answering personal questions by slightly changing the topic, or by replying with a related question, in such a way that the person who asked the initial question is unaware of what has just happened. This style was first made (in)famous as the signature move of one Dr. Randall, following its identification and labeling by a brilliant and eloquent coworker, circa 2008. It then spread across the Western United States in the coming decade. Legend has it that said coworker, despite having developed a great friendship with the elusive Dr. Randall, has nevertheless never been invited into his home.
Originally a screw up by a certain German 3 student in the year 2009, when a sudden bout of dyslexia struck and caused the term "anally raped" to be transformed into "ranally aped" it was then recognized to be even more negative sounding than the original so the term was kept.
Student A) Dude, that lit test?
B) no man, totally screwed it up
A) yeah man, it totally "ranally aped" me
B) ouch dude, that blows