The BIG 5 system of personality psychology embodies a composite theory encompassing trait theories, Jung's type theory included. The "BIG 5" scales include four dimensions which parallel the letters in one's type, plus a "Neuroticism" scale, which is often reported as an inverse measure of Emotional Stability.
The five scales roughly correspond to type dimensions as follows:
Openness = Intuition
Conscientiousness = Judgement
Extraversion = Extraversion
Agreeableness = Feeling
Intializing, these scales plus Neurotocism give us the acronym "OCEAN" or, if you prefer, "CANOE."
Here's an example:
sample BIG 5 personality profile.
This profile would correspond to an INFP type:
High Agreeableness = Feeling
High Openness = Intuition
Low Conscientiousness = Perceiving (not-J)
Low Extraversion = Introversion (not E)
Like other self-report tests, this instrument reflects self-perceptions (although there are several performance items that attempt to validate the Openness score), so results may vary from actual type in the same way one's perceived type might vary from observed type.