[R] EM algorithm

Elena 5/12 elena_verbruggen at hotmail.com
Tue Jul 21 23:49:24 CEST 2009


l=∑_i∑_k log[ (Se(i))^(t_ik ) [1-Se(i) ]^(1-t_ik ) p+(Sp(i))^(1-t_ik)
[1-Sp(i) ]^(t_ik ) (1-p)] 

This is my observed loglikelihood. It is a sum over i (there are I tests)
and over k (K patients). t_ik is the result for the kth patient on the ith
test. 

Se(i)= sensitivity, Sp (i)= specificity and p=prevalence are my unknown
parameters. 

Do you know how to code this loglikelihood and EM algorithm in R? I can't
get it to work. 

Thanks! 
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