page.trend.test {crank} R Documentation

## 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.

### 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.

### 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

### Note

The Page test for ordered alternatives is slightly more powerful than the Friedman analysis of variance by ranks.

### Author(s)

Jim Lemon - thanks to Mikhail Trofimov and Michael Kirchhof for discovering major errors in the function and supplying the corrections

### References

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

### Examples

 # 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)


[Package crank version 1.1-2 Index]