This function computes a one-way ANOVA for the medians. Homoscedasticity assumption not required. There shouldn't be too many ties.
med1way(formula, data, iter =1000,...)
Arguments
formula: an object of class formula.
data: an optional data frame for the input data.
iter: number of iterations to determine critical value.
...: currently ignored.
Details
Evaluating the test statistic using the df proposed in the literature can result in the actual level being less than the nominal level, (i.e., around 0.02-0.025 when testing at the 0.05 level and the sample size is small). A better strategy is to simulate the critical value and computing the p-value accordingly, as implemented in this function.
Returns
Returns an object of class med1way containing: - test: F-value of the test statistic
crit.val: critical value
p.value: p-value
call: function call
References
Wilcox, R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Elsevier.
See Also
t1way,t1waybt, Qanova
Examples
set.seed(123)med1way(libido ~ dose, data = viagra, iter =3000)