You conduct a one-way ANOVA with 3 groups and find a statistically significant result using a = 0.05. Since it is significant, you follow this up with a post-hoc analysis. In particular, you plan to examine all pairwise contrasts. How many pairwise contrasts will you need to examine? If you used a = 0.05 for EACH comparison, what is the probability of making at least one Type I error? Recall that a Type I error is incorrectly rejecting the null hypothesis. (Round to three decimal places.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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You conduct a one-way ANOVA with 3 groups and find a statistically significant result using a = 0.05. Since
it is significant, you follow this up with a post-hoc analysis. In particular, you plan to examine all pairwise
contrasts.
How many pairwise contrasts will you need to examine?
If you used a = 0.05 for EACH comparison, what is the probability of making at least one Type I error?
Recall that a Type I error is incorrectly rejecting the null hypothesis. (Round to three decimal places.)
Transcribed Image Text:You conduct a one-way ANOVA with 3 groups and find a statistically significant result using a = 0.05. Since it is significant, you follow this up with a post-hoc analysis. In particular, you plan to examine all pairwise contrasts. How many pairwise contrasts will you need to examine? If you used a = 0.05 for EACH comparison, what is the probability of making at least one Type I error? Recall that a Type I error is incorrectly rejecting the null hypothesis. (Round to three decimal places.)
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