In contrast to the prevailing views of Biblical scholarship on the authorship of the gospels (http://en.wikipedia.org/wiki/New_Testament#Authorship) and the methodology the authors used to gather information (http://en.wikipedia.org/wiki/Markan_priority), McGrew believes that the gospels were written by their traditional authors (John Mark, Luke the Evangelist, John the Apostle, and Matthew) as eyewitness accounts.
Among other things, he bases his views on "undesigned coincidences" between the four gospels, cases where one author reports a given event and another author provides additional details not present in the other's writing. McGrew feels that non-eyewitness authors working from common sources (Q and Mark) couldn't include such undesigned coincidences; only eyewitness accounts could produce such information. He also believes that individuals looking to fabricate mythical accounts from whole cloth couldn't possibly create such coincidences.
Although this is an unorthodox argument for, well, an orthodox view of the gospels, it seems (at least to my untrained mind

Here is the video with his argument (note, it's long):
http://www.youtube.com/watch?v=9wUcrwYocgM
Here is a "cliff notes" version of McGrew's argument:
http://thinkingmatters.org.nz/2011/08/t ... e-gospels/
Here's McGrew's response to an agnostic's critique of his hypothesis:
http://dangerousidea.blogspot.com/2011/ ... nskis.html
Here's a list of a few of the "undesigned coincidences:"
http://www.crossexamined.org/blog/?p=190
Debate question: What do you think? Is McGrew right? Are there undesigned coincidences in the gospels? Do such coincidences indicate eyewitness accounts, or can they be explained through the traditional two-source hypothesis? Are such coincidences really undesigned, or could the authors of the gospels have colluded to make them up?