Mathematics Homework Help

1. Describe a scenario where a researcher could use an F-test for the equality of two variances to answer a research question. Fully describe the scenario and the variables involved and explain the rationale for your answer. What is different about this test comparted to an ANOVA?

2. Describe a scenario where a researcher could use a One-Way ANOVA to answer a research question. Fully describe the scenario and the variables involved and explain the rationale for your answer. Why is that test appropriate to use?

3. Describe a scenario where a researcher could use a Two-Way ANOVA to answer a research question. Fully describe the scenario and the variables involved and explain the rationale for your answer. Why is that test appropriate to use?

4. ANOVA is based on an F-ratio that is calculated as the ratio of two variance estimates, the variance between groups and the variance within groups, but enables conclusions to be made about the means of the samples involved. What is the logic of that? I.e., explain the rationale that supports the use of variance estimates.

5. Describe the issue that would arise if you were to run a series of t-tests to compare differences between four means. Why is it preferable to use ANOVA instead?

Be sure to write at least 3 sentences per answer, and explain your answer and reasoning.