Dissimilar air combat training (DACT) was introduced as a formal part of US air combat training after disappointing aerial combat exchange rates in the Vietnam War.
Traditionally, pilots would undertake air combat training against similar aircraft. For example, pilots of F-8s would seldom train against F-4 Phantom IIs, and almost never against A-4 Skyhawks and never as part of a formal syllabus. From 1965 to 1968, US pilots found themselves over the skies of North Vietnam pitted against the smaller, more nimble subsonic Soviet MiG-17 and the supersonic MiG-21. US pilots in USAF F-105 Thunderchiefs were barely able to exceed parity and pilots in Phantoms and Crusaders were not able to achieve the hugely lopsided win/loss ratio achieved over Korea and in World War II. In fact, Air Combat Maneuvering (ACM) was not practised by all fighter squadrons for a variety of reasons.
The USAF had deemphasized ACM since most air combat doctrine since the late 1950s centered on delivering nuclear weapons over Europe or firing missiles at beyond-visual-range (BVR) at bombers, not daylight dogfighting which was thought to be obsolete in the missile age. The primary US fighter used against North Vietnamese MiGs, the F-4 Phantom, did not even have an internal gun. US pilots were finding themselves hard-pressed to prevail over the nimble VPAF MiGs which by late 1966 had grown to be a real threat to US aircraft operating over the North.
Everything I've ever done
And everything I have
Amounts to nothing
Keeps on crushing you within
Sometimes you want to be alone
It won't find the time to understand
And concentrate on everything you see
If you think about it hard you'll know