Mr. Dudley, a 56-year-old former Goldman Sachs Group Inc. economist who ran the New York Fed's markets division, got the top job after a two-month search, succeeding new Treasury Secretary Timothy Geithner.
It isn't unusual for outgoing Fed presidents to provide such input. But Mr. Dudley's case is different, some observers said, because Mr. Geithner was a political nominee at the time. Injecting a White House appointee's views into the process, they suggested, may have meddled.
"The right thing for the Treasury secretary to do is to allow the central bank to be independent and not have a say in who gets chosen," said Allan Meltzer, a Fed historian.