Probability of an outcome given multiple attributes

redeemer90

Hi,

Lets say I have the following attributes...
Body fat percentage, Body mass index
Outcome = obese (yes / no)
I have data for all attributes and outcomes. What I'd like to do is a joint probability. For example I'd like to know what the probability is of someone being obese given their BMI and body fat percentage.

I can calculate the correlation between the attributes and the outcomes. My intuition tells me that I need to combine the correlation in some way, but can't seem to find any information on this.

Can someone point me in the right direction?

- Sid

moonman239

I don't know about joint probability, but I'd say something like this would do:
P(being obese) = P(person with BMI x being obese) * P(person with Body Fat Percentage n being obese)

http://en.wikipedia.org/wiki/Joint_p...y_distribution

EnumaElish

You should look into regression analysis with a limited (binary) dependent variable, "limdep."

See "logit" and "probit" under: http://en.wikipedia.org/wiki/Limited_dependent_variable

moonman239

It sounds like you're actually looking at discrete choice modeling: http://en.wikipedia.org/wiki/Discrete_choice

Found this under the article that Enuma linked to.

redeemer90

Thanks for all the help. Will look in to all the links now and see which one suits my needs.

- Sid