NY Times
"The Times used the same methods to research homicides involving all active-duty military personnel and new veterans for the six years before and after the present wartime period began with the invasion of Afghanistan in 2001.

This showed an 89 percent increase during the present wartime period, to 349 cases from 184, about three-quarters of which involved Iraq and Afghanistan war veterans. The increase occurred even though there have been fewer troops stationed in the United States in the last six years and the American homicide rate has been, on average, lower."

FOX News

"According to analysis by FOX News, the murder rate among vets is seven per 100,000. In the same age group, among civilians who live in the USA, it is 40 per 100,000. Therefore, the military murder rate is actually 82 percent lower than the civilian murder rate."

The New York Times statistics may have been hidden two pages into the article but it didn't say that soldiers commited more crimes than the average person but that after the people were in the Iraq and Afghanistan war they commited more crimes than they would of before. The New York times was trying to get an emotional responce against the military, which is unfair, but the actual facts that it used were true.

The article says that after war soldiers commit more crimes themselves not that they commit more crimes than average people. Both Fox and the NY Times stats don't contridict each other.