Unit 4 Categorical Data Analysis - UMass
BIOSTATS 640 - Spring 2020 4. Categorical Data Analysis - R Users Page 1 of 78 Nature Population/ Sample Observation/ Data Relationships/ Modeling Analysis / Synthesis Unit 4 Categorical Data Analysis Don t ask what it means, but rather how it is used - L. Wittgenstein Is frequency of exercise associated with better health? Is the proportion of adults who visit their doctor more than once a year, significantly lower among the frequent exercisers than among the non-exercisers?
The likelihood (“chances of”) L of the outcomes in the two group case-control study design data is modeled as the product of 2 binomial likelihoods: L(x,x) = Pr[X=x and X=x] = xx Example The probability of X 1=65 and X 2=118 counts of OC use history is = 65 118 12( ) 12( ) 12 100-x 200-x X12 11 22 1 1 2 2 12 100 200 π 1 - * X xx
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