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Unit Overview • In the first unit we explored tests of significance, confidence intervals, generalization, and causation mostly in terms of a single proportion. • In the second unit we compared two proportions, two averages (independent), and paired data. All of these had a binary categorical explanatory variable. • In the third unit we will expand on this to compare multiple proportions, multiple averages, and two quantitative variables. The explanatory variable will be categorical (not necessarily binary) or quantitative. Unit Overview Unit Overview • Throughout this unit we can still express the null hypothesis in terms of no association between the response and the explanatory variable and the alternative hypothesis in terms of an association between the response and the explanatory variable. • We can also be more specific in our hypotheses to reflect the type of data (and hence parameters) we are working with. Comparing More Than Two Proportions Chapter 8 Chapter Overview • In chapter 5, our explanatory variable had two outcomes (like parents smoke or not) and the response variable also had two outcomes (like baby is boy or girl). Remember these are call binary. • In this chapter we will allow the explanatory variable to have more than two outcomes (like both parents smoke, only mother smokes, only father smokes, or neither parent smokes). • We will still focus on the response variable having two outcomes, but it doesn’t have to. It can have many as well. We will explore this in Section 8.2.
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