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| # LRT | |
| data = c(27,24,3,14,9,14,4,6,7,8) | |
| m = matrix(data, nrow = 2) | |
| theta_null = colSums(m)/sum(m) | |
| theta_1 = m[1,]/sum(m[1,]) | |
| theta_2 = m[2,]/sum(m[2,]) | |
| L0 = dmultinom(colSums(m), prob = theta_null, log=T) | |
| L1 = dmultinom(m[1,], prob = theta_1, log=T) + dmultinom(m[2,], prob = theta_2, log=T) | |
| lrt = -2*(L1 - L0) | |
| # | |
| pchisq(lrt, df=4, lower.tail = F) |
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LRT
data = c(27,24,3,14,9,14,4,6,7,8)
m = matrix(data, nrow = 2)
theta_null = colSums(m)/sum(m)
theta_1 = m[1,]/sum(m[1,])
theta_2 = m[2,]/sum(m[2,])
L0 = dmultinom(m[1,], prob = theta_null, log=T) + dmultinom(m[2,], prob = theta_null, log=T)
L1 = dmultinom(m[1,], prob = theta_1, log=T) + dmultinom(m[2,], prob = theta_2, log=T)
lrt = -2*(L0-L1)
pchisq(lrt, df=4, lower.tail = F)