Which of the following statements is true? (Careful thought is required here.)
A) A test of independence is really a goodness-of-fit test in which the theory being tested is the "equally likely or chance" theory.
B) A goodness-of-fit test is really a test of independence since the "chance model" is the basis of the chi square distribution.
C) Large negative chi square values are just as significant as large positive ones.
D) all of the descriptive alternatives are correct.

Question

Quizplus · Accepted Answer

A test of independence assesses whether observations across groups are independent of each other, which can be conceptualized as testing if the observed frequencies fit the expected frequencies under the assumption of independence (or chance). This is similar in concept to a goodness-of-fit test, which compares observed frequencies to expected frequencies under a specified model. However, the specific hypotheses and contexts of these tests differ.

Which of the Following Statements Is True? (Careful Thought Is