16_categorical

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

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Unformatted text preview: Categorical Data Analysis Lecture 16 STAT 651: Survey Sampling Methods, Kaizar p.1/14 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 ssociations 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: p 1- p 2 = n 01 n 00 + n 01- n 11 n 10 + n 11 STAT 651: Survey Sampling Methods, Kaizar p.5/14 Measures of Association 2. Odds Ratio: hatwidest OR = n 00 n 11 n 01 n 10 STAT 651: Survey Sampling Methods, Kaizar p.6/14 A test for association...
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This note was uploaded on 07/26/2011 for the course STA 651 taught by Professor Kaizar during the Winter '11 term at Ohio State.

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

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