Methods defined for objects returned from the wilcox_TOST function.

# S3 method for TOSTnp
print(x, digits = 4, ...)

# S3 method for TOSTnp
describe(x, digits = 3, ...)

Arguments

x

object of class TOSTnp.

digits

Number of digits to print for p-values

...

further arguments passed through, see description of return value for details. TOSTnp-methods.

Value

  • print: Prints short summary of the tests.

  • describe: Verbose description of results.

Examples

# example code
data(mtcars)
res1 = wilcox_TOST(mpg ~ am,data = mtcars,eqb = 3)

# PRINT
print(res1)
#> 
#> Wilcoxon rank sum test with continuity correction
#> 
#> The equivalence test was non-significant W = 18.500, p = 9.75e-01
#> The null hypothesis test was significant W = 42.000, p = 1.87e-03
#> NHST: reject null significance hypothesis that the effect is equal to zero 
#> TOST: don't reject null equivalence hypothesis
#> 
#> TOST Results 
#>            Test Statistic p.value
#> NHST                 42.0   0.002
#> TOST Lower           73.0   0.975
#> TOST Upper           18.5 < 0.001
#> 
#> Effect Sizes 
#>                           Estimate                C.I. Conf. Level
#> Median of Differences      -6.8000 [-10.9999, -3.6001]         0.9
#> Rank-Biserial Correlation  -0.6599  [-0.8143, -0.4182]         0.9
#> 
#> 

# DESCRIPTION
describe(res1)
#> [1] "Using the Wilcoxon rank sum test with continuity correction, a null hypothesis significance test (NHST), and a equivalence test, via two one-sided tests (TOST), were performed with an alpha-level of 0.05. These tested the null hypotheses that true location shift is equal to 0 (NHST), and true location shift is more extreme than -3 and 3 (TOST). The equivalence test was not significant (p = 0.975). The NHST was significant, WMW = 42, p = 0.002 (location shift = -6.8 90% C.I.[-11, -3.6]; Rank-Biserial Correlation = -0.66 90% C.I.[-0.814, -0.418]). At the desired error rate, it can be stated that the true location shift is not equal to 0 (i.e., no equivalence)."