med1way function

Heteroscedastic one-way ANOVA for medians.

Heteroscedastic one-way ANOVA for medians.

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)