# lecture_2_5 - Analysis of two-way tables IPS chapter 2.5...

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Analysis of two-way tables IPS chapter 2.5 © 2006 W.H. Freeman and Company

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Objectives (IPS chapter 2.5) Data analysis for two-way tables Two-way tables Joint distributions Marginal Distributions Conditional distributions Simpson’s paradox
What is a Two-Way Table? A two-way table shows the relationship between two categorical variables.

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Two-way table for frequent binge drinking and gender: Row variable: Binge Drinking Column Variable: Gender Cell: Any combination of specific categories of the row and column variables. Gender Binge Drinker? Men Women Total Yes 1,630 1,684 3,314 No 5,550 8,232 13,782 Total 7,180 9,916 17,096
Joint distribution: Divide each cell by total sample size to get four proportions. Collection of these proportions is the joint distribution of the two categorical variables. Gender Binge Drinker? Men Women Yes 0.095 0.099 No 0.325 (=5550/17096) ? Gender Binge Drinker? Men Women Total Yes 1,630 1,684 3,314 No 5,550 8,232 13,782 Total 7,180 9,916 17,096

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Joint distribution: Divide each cell by total sample size to get four proportions. Collection of these proportions is the joint distribution of the two categorical variables. Gender
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## lecture_2_5 - Analysis of two-way tables IPS chapter 2.5...

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