Say I have a list of personality traits: courage, materialism, compassion and so on. I interview some people and assign a rating from -10 to +10 to each trait for each person, then I find the correlation between each pair of traits.
Now I want to create a "random person" by assigning a value to each trait, consistent with the correlations I have found.
Is there is a good way to do this?
Also: suppose traits T1 and T2 have correlation C. Given a fixed value X for T1, what does the distribution of T2 look like? Or to put it another way, given that trait T1's value = X, what is the probability of trait T2 having some value Y?
Now I want to create a "random person" by assigning a value to each trait, consistent with the correlations I have found.
Is there is a good way to do this?
Also: suppose traits T1 and T2 have correlation C. Given a fixed value X for T1, what does the distribution of T2 look like? Or to put it another way, given that trait T1's value = X, what is the probability of trait T2 having some value Y?