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BUILT-IN MATHEMATICA SYMBOL
BlomqvistBeta
BlomqvistBeta[v1, v2]
gives Blomqvist's medial correlation coefficient 
for the vectors 
and 
.
BlomqvistBeta[m]
gives Blomqvist's medial correlation coefficient for the matrix m.
BlomqvistBeta[m1, m2]
gives Blomqvist's medial correlation coefficient for the matrices 
and 
.
BlomqvistBeta[dist]
gives the medial correlation coefficient matrix for the multivariate symbolic distribution dist.
BlomqvistBeta[dist, i, j]
gives the 
medial correlation coefficient for the multivariate symbolic distribution dist.
Details
- BlomqvistBeta[v1, v2] gives Blomqvist's medial correlation coefficient between
and 
. - Blomqvist's between vectors x and y is given by Correlation[Sign[x-
x], Sign[y-y]], where 
and 
are the medians of x and y, respectively. - The arguments
and 
can be any real-valued vectors of equal length. - For a matrix m with
columns BlomqvistBeta[m] is a 
×
matrix of the 's between columns of m. - For an
×
matrix 
and an 
×
matrix 
BlomqvistBeta[m1, m2] is a 
×
matrix of the 's between columns of 
and columns of 
. - BlomqvistBeta[dist, i, j] is Probability[(x-x)(y-y)>0, {x, y}
disti, j]-Probability[(x-x)(y-y)<0, {x, y}disti, j] where 
is the 
marginal of dist. - BlomqvistBeta is not well defined for discrete distributions or in the presence of ties.
- BlomqvistBeta[dist] gives a matrix where the
entry is given by BlomqvistBeta[dist, i, j].
New in 9
