That's Andersons's one-day record, split series by series, since the time Vaughan took over as a full time captain. If I'm correct Vaughan was captain during all of occasions except the series, in Pakistan (when he took 7 wickets @ 25), India (9 wickets @ 32) and the CT (3 wickets at 47). So under Vaughan in successive series he's managed 9 wickets @ 15 against SA & Zim, 4 wickets @ 21 against Bangladesh, 0 wickets against Sri Lanka, 4 wickets @ 37 against WI, another 7 @ 28 against WI & NZ, then 2 wickets @ 56 against Zimbabwe...this, if anything is a highly mixed record, that suggests that his performance really is capable of blowing hot and cold, with little affect from who is captaining the side, for he has had everything from shocking peformances to okay performances to absolutelty great performances under both Vaughan and other captains, including Trescothick and Flintoff.

To clear it all up his one-day record, under Vaughan's captaincy is: 23 matches 26 wickets @ 26
Under everyone else this record is: 14 matches 19 wickets @ 34

On the face this would suggest he has performed marginally better under Vaughan, but that really is not saying much as Anderson's average and wickets tally under Vaughan had the benefit of him having playing against sides like Zimbabwe (twice) and Bangladesh under him, and also had the advantage on more occasions of playing at home. It might well be argued that if Anderson had played under Trescothick or Flintoff longer, his stats under different captains might have had no difference, or may even have been better then under Vaughan.

In fact, if you're talking about test cricket, Vaughan, was perhaps the one person more responsible for destroying Anderson's confidence completely then anyone else, especially against West Indies at home in 2004, when he underbowled Anderson to a diabolical extent (he bowled less then 57 overs in 3 full tests, which is barely 10 overs per innings! His confidence IMO suffered so badly in that one series, that he never really recovered in his subsequent test apperences in the Winter, away in the Carribean, and also further down the winter against SA, by which time he completely lost his place in the side to Simon Jones.

So contrary to what you imply Vaughan is not Anderson's savior in any capacity, mental or technical, in fact the opposite might be argued with some justification. This I repeat for the umpteenth time is irrespective of the fact that Vaughan has proved him self incapable of consistently performing with the bat at the one-day level, and you cannot keep on selecting him merely for his alleged influence on the team, a fact that many England fans conveniently like to ignore.