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Lesson Twelve you've seen how to use F-Tests andAnalysis of Variance to answer research questions relevant to thosestatistical analysis procedures. Respond to the following todemonstrate your grasp of these.

• Describe a scenario where a researcher could use anF-test for the equality of two variances to answer aresearch question. Fully describe the scenario and the variablesinvolved and explain the rationale for your answer. Why is thattest appropriate to use?

• Describe a scenario where a researcher could use aOne-Way ANOVA to answer a research question. Fully describe thescenario and the variables involved and explain the rationale foryour answer. Why is that test appropriate to use?

• Describe a scenario where a researcher could use aTwo-Way ANOVA to answer a research question. Fully describe thescenario and the variables involved and explain the rationale foryour answer. Why is that test appropriate to use?

• ANOVA is based on an F-ratio that iscalculated as the ratio of two variance estimates, the variancebetween groups and the variance within groups, but enablesconclusions to be made about the means of the samples involved.What is the logic of that? I.e., explain the rationale thatsupports the use of variance estimates.

• Describe the issue that would arise if you were to runa series of t-tests to compare differences between fourmeans. Why is it preferable to use ANOVA instead?