IC_universal
IC_universal(
dag,
use_cache = simona_opt$use_cache,
verbose = simona_opt$verbose
)It measures the probability of a term getting full transmission from the root. Each term is associated with a p-value and the root has the p-value of 1.
For example, an intermediate term t has two parent terms parent1 and parent2, also assume parent1 has k1 children
and parent2 has k2 children, assume a parent transmits information equally to all its children, then respectively parent1 only transmits 1/k1 and
parent2 only transmits 1/k2 of its content to term t, or the probability of a parent to reach t is 1/k1 or 1/k2.
Let's say p1 and p2 are the accumulated contents from the root to parnet1 and parent2 respectively (or the probability
of the two parent terms getting full transmission from root), then the probability of reaching t via a full transmission graph from parent1
is the multiplication of p1 and 1/k1, which is p1/k1, and same for p2/k2. Then, for term t, if getting transmitted from parent1 and
parent2 are independent, the probability of t (denoted as p_t) to get transmitted from both parents is:
p_t = (p1/k1) * (p2/k2)Since the two parents are the full set of t's parents, p_t is the probability of t getting full transmission from root. And the final
information content is:
IC = -log(p_t)Paper link: doi:10.1155/2012/975783 .