What does rejecting the null hypothesis in ANOVA tell us? What does it not tell us? What is the purpose of post hoc tests?
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Essentially, it posits that any observed differences are due to random chance rather than a true effect. Show more…
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What does rejecting the null hypothesis in ANOVA tell us? What does it not tell us? What is the purpose of post hoc tests? Based on the ANOVA table below, do you reject or fail to reject the null hypothesis? What is the effect size?
Adi S.
1. What would happen if instead of using an ANOVA to test the difference in group means, multiple t-tests were done to compare GPA averages between Freshman, Sophomore, Junior, and Senior at OSU? a) Making multiple comparisons with a t-test is more time consuming than doing a single ANOVA. b) Making multiple comparisons with a t-test increases the probability of making a Type I error. c) Assumption of ANOVA are less restrictive than t-test. 2. Which of the following is correct regarding post hoc analysis in ANOVA? a) If the ANOVA test is significant we perform post hoc analysis to find out exactly which group(s) have a significantly different mean. b) If the ANOVA test is not significant we perform post hoc analysis to find out exactly c) If the ANOVA test is not significant we perform post hoc analysis to set the critical value for the F test. 3. Which of the following is ANOVA (analysis of variance) alternative hypothesis; a) all the sample means are different from one another. b) all the sample means are equal. c) at least one sample mean is different from the others. 4. In ANOVA test if between-groups variance is much larger than within-groups variance, then we infer that: a) at least one sample mean is different from the others and reject the null hypothesis. b) the sample means are similar to one another and reject the null hypothesis. c) the sample means are similar to one another and fail to reject the null hypothesis.
Gershon Kwame M.
What is the function of a post-hoc test in ANOVA? Determine the correlation between group means Identify differences between the means when the null has been rejected for the ANOVA. To look for mean differences when the ANOVA could not reject the null. To test for differences in the level of the independent variable at each level of the dependent variable.
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