Which of the following statements are not true?
A) The t and F procedures are not "distribution-free" procedures because they require the distributed assumption of normality.
B) The t and F procedures are not "nonparametric" procedures because they are based on the normal parametric family of distribution.
C) Distribution-free and nonparametric procedures are valid for very few different types of underlying distributions.
D) Generally speaking, the distribution-free procedures perform almost as well as their t and F counterparts on the "home ground" of the normal distribution, and will often yield a considerable improvement under nonnormal conditions.
E) All of the above statements are true.

Question

Quizplus · Accepted Answer

Statement C is not true because distribution-free and nonparametric procedures are actually designed to be valid for a wide variety of underlying distributions, not just a few. These methods are useful precisely because they do not assume a specific distribution shape, making them applicable in more situations than parametric tests like the t and F procedures, which assume normality.

Which of the Following Statements Are Not True