Description Usage Format Details Note Source Examples
The endurance time of 24 rats in two groups on a rotating cylinder.
1 
A data frame with 24 observations on 2 variables.
time
endurance time (seconds).
group
a factor with levels "control"
and "treatment"
.
The rats were randomly assigned to receive a fixed oral dose of a centrally
acting muscle relaxant ("treatment"
) or a saline solvent
("control"
). The animals were placed on a rotating cylinder and the
endurance time of each rat, i.e., the length of time each rat remained on the
cylinder, was measured up to a maximum of 300 seconds.
This dataset is the basis of a comparison of 11 different software implementations of the WilcoxonMannWhitney test presented in Bergmann, Ludbrook and Spooren (2000).
The empirical variance in the control group is 0 and the group medians are identical. The exact conditional pvalues are 0.0373 (twosided) and 0.0186 (onesided). The asymptotic twosided pvalue (corrected for ties) is 0.0147.
Bergmann, R., Ludbrook, J. and Spooren, W. P. J. M. (2000). Different outcomes of the WilcoxonMannWhitney test from different statistics packages. The American Statistician 54(1), 72–77. doi: 10.1080/00031305.2000.10474513
1 2 3 4 5 6 7 8 9  ## Onesided exact WilcoxonMannWhitney test (p = 0.0186)
wilcox_test(time ~ group, data = rotarod, distribution = "exact",
alternative = "greater")
## Twosided exact WilcoxonMannWhitney test (p = 0.0373)
wilcox_test(time ~ group, data = rotarod, distribution = "exact")
## Twosided asymptotic WilcoxonMannWhitney test (p = 0.0147)
wilcox_test(time ~ group, data = rotarod)

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