A run-on sentence is a "fused sentence" that joins two or more complete sentences without using punctuation.
Example: Michaela loves to draw horses she is a talented artist.
It becomes a comma splice when these sentences are only connected by a comma.
Example: Michaela loves to draw, she is a talented artist.
(source=http://ace.acadiau.ca/english/grammar/runon.html )
Link to Northern Michigan University
T.Wills: trawills@nmu.edu