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> # Test data from:
> #    Batschelet, E (1981). Circular Statistics in Biology.
> #    Examples 6.10.1 and 6.10.2, p 126
> # 
> 
> suppressMessages(library("circular"))
> # ?wallraff.test
> 
> angles <- circular(c(70, 80, 80, 85, 85, 90, 95, 95, 5, 5, 15, 55, 55, 65, 105, 120, 340), units="degrees", template="geographics")
> group <- factor(c(rep("control", 8), rep("experimental", 9)))
> 
> homeDir <- 40
> 
> # expect:
> # W = 2 (in wilcox.test) and p < 0.01 for the dispersion test
> # W = 26 (in wilcox.test) and p > 0.05 for the homing test
> 
> xn <- angles
> wallraff.test(xn, group)

	Wallraff rank sum test of angular distance

data:  xn by group
Kruskal-Wallis chi-squared = 10.77, df = 1, p-value = 0.001032

> 
> wallraff.test(xn, group, ref=homeDir)

	Wallraff rank sum test of angular distance

data:  xn by group
Kruskal-Wallis chi-squared = 0.93278, df = 1, p-value = 0.3341

> wallraff.test(xn, as.factor(group), ref=homeDir)

	Wallraff rank sum test of angular distance

data:  xn by as.factor(group)
Kruskal-Wallis chi-squared = 0.93278, df = 1, p-value = 0.3341

> 
> 
> xl <- split(xn, group)
> wallraff.test(xl, ref=homeDir)

	Wallraff rank sum test of angular distance

data:  control and experimental
Kruskal-Wallis chi-squared = 0.93278, df = 1, p-value = 0.3341

> wallraff.test(xl)

	Wallraff rank sum test of angular distance

data:  control and experimental
Kruskal-Wallis chi-squared = 10.77, df = 1, p-value = 0.001032

> 
> xl <- split(xn, group)
> names(xl) <- NULL
> wallraff.test(xl)

	Wallraff rank sum test of angular distance

data:  1 and 2
Kruskal-Wallis chi-squared = 10.77, df = 1, p-value = 0.001032

> 
> xd <- data.frame(group=group, angles=angles)
> wallraff.test(angles ~ group, xd)

	Wallraff rank sum test of angular distance

data:  angles by group
Kruskal-Wallis chi-squared = 10.77, df = 1, p-value = 0.001032

> 
> proc.time()
   user  system elapsed 
   0.31    0.04    0.34