crank (version 1.1-2)

page.trend.test: Page test for ordered alternatives

Description

calculates the Page test for ordered alternatives.

Usage

page.trend.test(x,ranks=TRUE)

Arguments

x

a 2D matrix of ranks or observations.

ranks

Whether the values in x are ranks or observations.

Value

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

Details

page.trend.test will accept a matrix of ranks where the rows represent methods (usually raters) and the columns represent related data objects. It apparently handles ties, but not missing values. 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.

If ranks is FALSE, the function ranks the values in x and then calculates the test. If the values are already ranks, it usually makes no difference.

References

Siegel, S. & Castellan, N.J.Jr. (1988) Nonparametric statistics for the behavioral sciences. Boston, MA: McGraw-Hill.

Examples

# NOT RUN {
 # 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)
# }