Video: Another loan star drops in to boost Doncaster Rovers' defensive options
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The 6ft 4in defender was recently recalled from a loan spell at League Two side Port Vale, where he has made 24 appearances this season.
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Hide AdBurnley-born Anderson, 24, a youth product at Turf Moor, was stay at Rovers for the rest of the season and his arrival follows the capture of Preston centre-half Andy Boyle.
The pair are set to make their debuts at home to Fleetwood on Saturday.
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Anderson has yet to make a competitive appearance for the Clarets and is out of contract in the summer.
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Hide AdHe has extensive loan experience in the lower divisions and non-league, having played for Barrow, Hyde, FC Halifax Town, Lincoln City and Chesterfield, as well as Port Vale.
Anderson’s arrival follows on from the earlier signings of Ben Whiteman, on a permanent basis, and loan extensions for Jordan Houghton and Rodney Kongolo and the signing of young Irish defender Shane Blaney.