The power of the chi-square test is further reduced when quantitative variables are collapsed into categories because _____ by placing individuals with different scores into the same group.
A)considerable information is likely to be lost
B)more Type I errors are likely to be made
C)sampling difficulties may arise
D)all of these

Question

Quizplus · Accepted Answer

When quantitative variables are collapsed into categories, considerable information is likely to be lost, which reduces the power of the chi-square test. This is because placing individuals with different scores into the same group can obscure important differences between them, making it harder to detect significant associations or patterns. While more Type I errors are not necessarily likely to be made (as the question suggests), sampling difficulties may arise if the categories are not well-defined or if the sample size is too small. However, neither of these issues directly impacts the power of the chi-square test.

The Power of the Chi-Square Test Is Further Reduced When