Number of times individuals a and b were observed together
Ya
Number of times individual a was observed without b
Yb
Number of times individual b was observed without a
Yab
Number of times individuals a and b were observed at the same time but not associating
Value
Returns two elements: the estimated association strength and the standard error of the estimate.
Details
The half-weight index calculates the probability that two individuals are observed together given that one has been seen, but under the assumption that the probability of missing individuals a or b when they are together is equal to M times the probability of missing them when they are apart. This index is the most commonly used in animal social network analysis, but note that Hoppitt & Farine (in prep) and other authors argue that the weighting of the probabilities is arbitrary.
References
Hoppitt, W. & Farine, D.R. (in prep) Association indices for quantifying social relationships: how to deal with missing observations of individuals or groups.