neuropathy.RdThe logarithm of the ratio of pain scores measured at baseline and after four weeks in a control group and a treatment group.
neuropathyA data frame with 58 observations on 2 variables.
painpain scores: ln(baseline / final).
groupa factor with levels "control" and "treat".
Data from Conover and Salsburg (1988, Tab. 1).
Conover, W. J. and Salsburg, D. S. (1988). Locally most powerful tests for detecting treatment effects when only a subset of patients can be expected to “respond” to treatment. Biometrics 44(1), 189–196. doi:10.2307/2531906
## Conover and Salsburg (1988, Tab. 2)
## One-sided approximative Fisher-Pitman test
oneway_test(pain ~ group, data = neuropathy,
alternative = "less",
distribution = approximate(nresample = 10000))
#>
#> Approximative Two-Sample Fisher-Pitman Permutation Test
#>
#> data: pain by group (control, treat)
#> Z = -1.3191, p-value = 0.0904
#> alternative hypothesis: true mu is less than 0
#>
## One-sided approximative Wilcoxon-Mann-Whitney test
wilcox_test(pain ~ group, data = neuropathy,
alternative = "less",
distribution = approximate(nresample = 10000))
#>
#> Approximative Wilcoxon-Mann-Whitney Test
#>
#> data: pain by group (control, treat)
#> Z = -0.98169, p-value = 0.1644
#> alternative hypothesis: true mu is less than 0
#>
## One-sided approximative Conover-Salsburg test
oneway_test(pain ~ group, data = neuropathy,
alternative = "less",
distribution = approximate(nresample = 10000),
ytrafo = function(data)
trafo(data, numeric_trafo = consal_trafo))
#>
#> Approximative Two-Sample Fisher-Pitman Permutation Test
#>
#> data: pain by group (control, treat)
#> Z = -1.8683, p-value = 0.0298
#> alternative hypothesis: true mu is less than 0
#>
## One-sided approximative maximum test for a range of 'a' values
it <- independence_test(pain ~ group, data = neuropathy,
alternative = "less",
distribution = approximate(nresample = 10000),
ytrafo = function(data)
trafo(data, numeric_trafo = function(y)
consal_trafo(y, a = 2:7)))
pvalue(it, method = "single-step")
#> a = 2 a = 3 a = 4 a = 5 a = 6 a = 7
#> control 0.2367 0.0994 0.0603 0.0489 0.0448 0.0454