In: Statistics and Probability
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Lesson Twelve you've seen how to use F-Tests and
Analysis of Variance to...
please no cursive
Lesson Twelve you've seen how to use F-Tests and
Analysis of Variance to answer research questions relevant to those
statistical analysis procedures. Respond to the following to
demonstrate your grasp of these.
- 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. Why is that
test appropriate to use?
- 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?
- 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?
- 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.
- 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?