Add pseudocounts to a paired comparison matrix

Allows fitting BradleyTerry() models with parameters equal to damped Scroogefactor()s.

pseudocount(X, alpha = 0.85)

Arguments

X	a square matrix of paired comparison data
alpha	a damping factor between 0 and 1

Value

a matrix in the same form as X, with pseudocounts added

Details

Eigenvector estimators can be used to compute Bradley--Terry scores. But a damped PageRank uses a modified probability transition matrix dependent on a parameter, alpha.

See also

BradleyTerry()

Other Bradley-Terry model utility functions: BradleyTerry, hessianBT, loglikelihood, vcovBT

Examples

SF <- Scroogefactor(citations, alpha = 0.85)
citations_pseudo <- pseudocount(citations)
BT_pseudo <- BTscores(citations_pseudo)
plot(SF, BT_pseudo); abline(0, 1)