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16_categorical

# 16_categorical - Categorical Data Analysis Lecture 16 STAT...

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Categorical Data Analysis Lecture 16 STAT 651: Survey Sampling Methods, Kaizar – p.1/14

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Lecture 16: Categorical Data Analysis Reading: Lohr Chapter 10 Motivating Example Introduction to Tables Measures of Association Testing for Association STAT 651: Survey Sampling Methods, Kaizar – p.2/14
Motivating Example Are childhood activities predictive of adult activities? Specifically, is a childhood trip to Israel related to an adult trip to Israel? STAT 651: Survey Sampling Methods, Kaizar – p.3/14

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Associations between categorical variables We use tables of counts or relative frequencies to summarize relationships between categorical variables. A table comparing two categorical variables is called a two-way table . We look for patterns in the data: Is there a simple relationship between x and y ? In the Israel travel example: the row variable is the childhood trip the column variable is the adult trip STAT 651: Survey Sampling Methods, Kaizar – p.4/14
Measures of Association 1. Difference: ˆ p 1 - ˆ p 2 = n 01 n 00 + n 01 - n 11 n 10 + n 11 STAT 651: Survey Sampling Methods, Kaizar – p.5/14

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16_categorical - Categorical Data Analysis Lecture 16 STAT...

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