Rotating Rats
The endurance time of 24 rats in two groups on a rotating cylinder.
rotarod
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 Wilcoxon-Mann-Whitney 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 p-values are 0.0373 (two-sided) and 0.0186 (one-sided). The asymptotic two-sided p-value (corrected for ties) is 0.0147.
Bergmann, R., Ludbrook, J. and Spooren, W. P. J. M. (2000). Different outcomes of the Wilcoxon-Mann-Whitney test from different statistics packages. The American Statistician 54(1), 72–77. doi: 10.1080/00031305.2000.10474513
## One-sided exact Wilcoxon-Mann-Whitney test (p = 0.0186) wilcox_test(time ~ group, data = rotarod, distribution = "exact", alternative = "greater") ## Two-sided exact Wilcoxon-Mann-Whitney test (p = 0.0373) wilcox_test(time ~ group, data = rotarod, distribution = "exact") ## Two-sided asymptotic Wilcoxon-Mann-Whitney test (p = 0.0147) wilcox_test(time ~ group, data = rotarod)
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