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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 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 between two binomial proportions

    3. Where We’re 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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