Question

What conditions must be met for the validity of a chi-square test of independence?

a) None of the expected frequencies should be less than 2
b) A participant must fall in only one category
c) No response should be related to or dependent on any other response
d) all of the above

Answer 1

The conditions required for a valid chi-square test of independence include having all expected frequencies 5 or more, ensuring participants fall into only one category, and that all responses are independent of one another. The correct answer is 'd) all of the above'.

Step-by-step explanation:

The conditions that must be met for the validity of a chi-square test of independence include:

• Each expected frequency should be 5 or more.
• A participant must fall into only one category of the contingency table.
• Responses are independent of each other; no response should be related to or dependent on any other response.

Therefore, the correct answer is d) all of the above. It is critical to meet these conditions in order to ensure the validity and accuracy of the chi-square test results. The degrees of freedom for this test are calculated as (number of rows - 1) multiplied by (number of columns - 1), and for a valid test, the data should be collected in a way that ensures independence between the observations.