Subsequent to obtaining a significant result from an exploratory one-way indepen
ID: 3340412 • Letter: S
Question
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?
The researcher should have conducted orthogonal contrasts instead of t-tests to avoid making a Type I error.
2.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.
3. None of these options are correct.
4 The researcher should accept as statistically significant tests with a probability value of less than 0.016 to avoid making a Type I erro
1.The researcher should have conducted orthogonal contrasts instead of t-tests to avoid making a Type I error.
2.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.
3. None of these options are correct.
4 The researcher should accept as statistically significant tests with a probability value of less than 0.016 to avoid making a Type I erro
Explanation / Answer
Result:
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?
1.
The researcher should have conducted orthogonal contrasts instead of t-tests to avoid making a Type I error.
2.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.
3. None of these options are correct.
Correct answer:
4 The researcher should accept as statistically significant tests with a probability value of less than 0.016 to avoid making a Type I error
The Bonferroni correction is an adjustment made to P values when several independent statistical tests are being performed simultaneously on a single data set. To perform a Bonferroni correction, divide the critical P value () by the number of comparisons being made. In this case, 3 hypotheses are being tested, the new critical P value would be /3 = 0.05/3=0.017.
1.
The researcher should have conducted orthogonal contrasts instead of t-tests to avoid making a Type I error.
2.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.
3. None of these options are correct.
Correct answer:
4 The researcher should accept as statistically significant tests with a probability value of less than 0.016 to avoid making a Type I error