How does conducting multiple t-tests compare to conducting a single F-test?
A)Multiple t-tests increases the chance of a Type I error.
B)Multiple t-tests decreases the chance of a Type I error.
C)Multiple t-tests does not affect the chance of a Type I error.
D)This comparison cannot be made without knowing the number of populations.

Question

Quizplus · Accepted Answer

Conducting multiple t-tests increases the probability of committing a Type I error compared to conducting a single F-test. This is because when we conduct multiple t-tests, the overall probability of obtaining a significant result increases, and the chance of making a Type I error (rejecting the null hypothesis when it is true) also increases. This phenomenon is known as the multiple comparison problem. Therefore, it is better to use an F-test when analyzing multiple variables or treatments, as it allows us to assess the overall significance of our experimental results while controlling for the potential Type I error rate.

How Does Conducting Multiple T-Tests Compare to Conducting a Single