page.trend.test {concord} | R Documentation |
calculates the Page test for ordered alternatives.
page.trend.test(x)
x |
a 2D matrix of scores |
page.trend.test
will accept a matrix of scores where the rows
represent methods (usually raters) and the columns represent related
data objects. It apparently handles ties, but not missing values. By default
it assumes that numerically higher scores represent numerically lower ranks.
For small values of k (methods) or N (data objects), page.trend.test
will try to look up the tabled values (as in Siegel & Castellan (1988) for
significance. For k,N > 3,20
or k,N > 4-10,12
, a normal
approximation is returned. Only one of these values will be returned.
ranks |
matrix of ranks |
mean.ranks |
mean ranks of data objects |
L |
value of the L statistic |
p.table |
whether the obtained L exceeded the table value for small k,N |
Z |
The normal approximation for larger k,N |
pZ |
the probability of the obtained normal value for larger k,N |
The Page test for ordered alternatives is slightly more powerful than the Friedman analysis of variance by ranks.
Jim Lemon
Siegel, S. & Castellan, N.J.Jr. (1988) Nonparametric statistics for the behavioral sciences. Boston, MA: McGraw-Hill.
# Craig's data from Siegel & Castellan, p 186 soa.mat<-matrix(c(.797,.873,.888,.923,.942,.956, .794,.772,.908,.982,.946,.913, .838,.801,.853,.951,.883,.837, .815,.801,.747,.859,.887,.902),nrow=4,byrow=TRUE) page.trend.test(soa.mat)