The phrase "an error that allowed" is correct and usable in written English.
It can be used when discussing a mistake or flaw that enabled a particular outcome or situation to occur.
Example: "The investigation revealed an error that allowed unauthorized access to the system."
Alternatives: "a mistake that permitted" or "a flaw that enabled".
It was an error that allowed Anand to retain the title.
The ball bounced off Jones's glove for an error that allowed Erstad to score for a 2-1 lead.
Polgar should have played 23... f6, but 23... h6 was an error that allowed Hou to win a pawn.
John Johnston, the Seasiders' right-back, religiously abused Paddy Crerand whose fury precipitated an error that allowed Green to score.
Angel Pagan followed with a liner that went off the glove of second baseman Oscar Salazar for an error that allowed two more runs to score.
Reliever Matt Perisho got Dee Brown to hit a fly, but the ball glanced off center fielder Roger Cedeno's glove for an error that allowed three runs to score.
We note an interesting tension exists between specifying an error which reflects known uncertainties and errors in the measurement versus an error that allows "optimal" filter updating.
For instance, you might charge your client for a glitzy Super Bowl ad but fail to complete it in time for the big game, or you might make an error that allows a competitor to beat your client to market with an important product.
No sooner had Fabio Capello placed his confidence in Robert Green than his judgment was mocked by the sort of bungle no professional footballer can comfortably watch, an unforced error that allowed the United States back into a game on which England appeared to have a comfortable grip after Steven Gerrard's early goal.
Twitter has apologised over a "human error" that allowed hardcore pornography to be shown on the homepage of its new six-second video app, Vine.
After Brian Daubach and Chris Stynes led off with singles, third baseman Chipper Jones made a throwing error that allowed the go-ahead run to score.
