pA {petersenlab}

Bayes' Theorem.

Description

Estimate marginal and conditional probabilities using Bayes theorem.

Usage

pA(pAgivenB, pB, pAgivenNotB)

pB(pBgivenA, pA, pBgivenNotA)

pAgivenB(pBgivenA, pA, pB = NULL, pBgivenNotA = NULL)

pBgivenA(pAgivenB, pB, pA = NULL, pAgivenNotB = NULL)

pAgivenNotB(pAgivenB, pA, pB)

pBgivenNotA(pBgivenA, pA, pB)

Arguments

pAgivenB

The conditional probability of A given B.

pB

The marginal probability of event B.

pAgivenNotB

The conditional probability of A given NOT B.

pBgivenA

The conditional probability of B given A.

pA

The marginal probability of event A.

pBgivenNotA

The conditional probability of B given NOT A.

Details

Estimates marginal or conditional probabilities using Bayes theorem.

Value

The requested marginal or conditional probability. One of:

• the marginal probability of A

• the marginal probability of B

• the conditional probability of A given B

• the conditional probability of B given A

• the conditional probability of A given NOT B

• the conditional probability of B given NOT A

Examples

pA(pAgivenB = .95, pB = .285, pAgivenNotB = .007171515)

pB(pBgivenA = .95, pA = .285, pBgivenNotA = .007171515)

pAgivenB(pBgivenA = .95, pA = .285, pB = .2758776)
pAgivenB(pBgivenA = .95, pA = .285, pBgivenNotA = .007171515)
pAgivenB(pBgivenA = .95, pA = .003, pBgivenNotA = .007171515)

pBgivenA(pAgivenB = .95, pB = .285, pA = .2758776)
pBgivenA(pAgivenB = .95, pB = .285, pAgivenNotB = .007171515)
pBgivenA(pAgivenB = .95, pB = .003, pAgivenNotB = .007171515)

pAgivenNotB(pAgivenB = .95, pB = .003, pA = .01)

pBgivenNotA(pBgivenA = .95, pA = .003, pB = .01)