Subsequent to obtaining a significant result from an exploratory one-way independent ANOVA, a researcher decided to conduct three t-tests to investigate where the differences between groups lie. Which of the following statements is correct?
A)The researcher should accept as statistically significant tests with a probability value of less than 0.016 to avoid making a Type I error.
B)The researcher should have conducted orthogonal contrasts instead of t-tests to avoid making a Type I error.
C)This is the correct method to use.The researcher did not make any predictions about which groups will differ before running the experiment, therefore contrasts and post hoc tests cannot be used.
D)None of these options are correct.

Question

Quizplus · Accepted Answer

The researcher should adjust the significance level to account for the increased risk of Type I error due to multiple comparisons. The Bonferroni correction is one method to do this, which involves dividing the original alpha level (commonly 0.05) by the number of comparisons (in this case, 3), resulting in a new alpha level of 0.0167. This adjustment helps to control the overall Type I error rate when conducting multiple t-tests.

Subsequent to Obtaining a Significant Result from an Exploratory One-Way