Lifetime prevalence of Antisocial Personality Disorder (ASPD) within the general

Question

Lifetime prevalence of Antisocial Personality Disorder (ASPD) within the general population is about .04. Numerous empirical findings suggest a high co-occurrence of substance abuse with ASPD. In a study examining the comorbidity of ASPD with substance abuse, of the people diagnosed with ASPD, .30 met the clinical criteria for substance abuse, whereas normal individuals (without a Dx of ASPD) were diagnosed with substance abuse .11 of the time. Using this information, what is the probability that an individual will be diagnosed with ASPD, given that they met the criteria for substance abuse.

A= Diagnosis of ASPD

~A= No diagnosis of ASPD

B= Diagnosis of Substance Abuse

Complete the statements below with the appropriate values.

p(A) =

p(~A)=

p(B/A) =

p(B/~A)=

p(A/B) =

Does knowing if you have a substance abuse diagnosis of influence the probability of diagnosing ASPD.? How do you know?

Explanation / Answer

Solution:

Complete the statements below with the appropriate values.

p(A) = 0.04

p(~A) = 1 - 0.04=0.96

p(B/A) = 0.3

p(B/~A) = 0.11

p(A/B) = p(B/A)*p(A)/P(B)

= p(B/A)p(A)/[ p(B/A)p(A)+ p(B/~A)p(~A)]

= 0.3*0.04/[0.3*0.04+0.11*0.96]

= 0.012/[0.012+0.1056]

= 0.012/0.1176

= 0.102

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