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Statistics

McClave, Statistics, 11th ed. Chapter 13: Categorical Data Analysis. 2. Where We've Been. Presented methods for making inferences about the population proportion associated with a two-level qualitative variable (i.e., a binomial variable)Presented methods for making inferences about the difference

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    1. Chapter 13: Categorical Data Analysis Statistics

    2. McClave, Statistics, 11th ed. Chapter 13: Categorical Data Analysis 2 Where Weve Been Presented methods for making inferences about the population proportion associated with a two-level qualitative variable (i.e., a binomial variable) Presented methods for making inferences about the difference between two binomial proportions

    3. Where Were Going McClave, Statistics, 11th ed. Chapter 13: Categorical Data Analysis 3 Discuss qualitative (categorical) data with more than two outcomes Present a chi-square hypothesis test for comparing the category proportions associated with a single qualitative variable called a one-way analysis Present a chi-square hypothesis test relating two qualitative variables called a two-way analysis

    4. 13.1: Categorical Data and the Multinomial Experiment Properties of the Multinomial Experiment The experiment consists of n identical trials. There are k possible outcomes (called classes, categories or cells) to each trial. The probabilities of the k outcomes, denoted by p1, p2, , pk, where p1+ p2+ + pk = 1, remain the same from trial to trial. The trials are independent. The random variables of interest are the cell counts n1, n2, , nk of the number of observations that fall into each of the k categories. McClave, Statistics, 11th ed. Chapter 13: Categorical Data Analysis 4

    5. 13.2: Testing Categorical Probabilities: One-Way Table Suppose three candidates are running for office, and 150 voters are asked their preferences. Candidate 1 is the choice of 61 voters. Candidate 2 is the choice of 53 voters. Candidate 3 is the choice of 36 voters. Do these data suggest the population may prefer one candidate over the others? McClave, Statistics, 11th ed. Chapter 13: Categorical Data Analysis 5

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