chap-13 - Chapter 13 Categorical Data Analysis Categorical...

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Chapter 13 Categorical Data Analysis
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2 Categorical Data and the Multinomial Distribution Properties of the Multinomial Experiment 1. Experiment has n identical trials 2. There are k possible outcomes to each trial, called classes, categories or cells 3. Probabilities of the k outcomes remain constant from trial to trial 4. Trials are independent 5. Variables of interest are the cell counts , n 1 , n 2 …n k , the number of observations that fall into each of the k classes
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3 Testing Category Probabilities: One-Way Table In a multinomial experiment with categorical data from a single qualitative variable, we summarize data in a one-way table. Schema for one-way table for an experiment with k outcomes Outcomes k 1 k 2 k Counts n 1 n 2 n k
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4 Testing Category Probabilities: One-Way Table Hypothesis Testing for a One-Way Table Based on the χ 2 statistic, which allows comparison between the observed distribution of counts and an expected distribution of counts across the k classes
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This note was uploaded on 12/14/2011 for the course ECON 104 taught by Professor Ismailov during the Spring '11 term at London College of Accountancy.

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chap-13 - Chapter 13 Categorical Data Analysis Categorical...

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