# 34 - Chapter 11 Analyzing the Association Between...

This preview shows pages 1–15. Sign up to view the full content.

1 Chapter 11: Analyzing the Association Between Categorical Variables Section 11.1: What is Independence and What is Association?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 Learning Objectives 1. Comparing Percentages 2. Independence vs. Dependence
3 Learning Objective 1: Example: Is There an Association Between Happiness and Family Income?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4 The percentages in a particular row of a table are called conditional percentages They form the conditional distribution for happiness, given a particular income level Learning Objective 1: Example: Is There an Association Between Happiness and Family Income?
5 Learning Objective 1: Example: Is There an Association Between Happiness and Family Income?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
6 Guidelines when constructing tables with conditional distributions: Make the response variable the column variable Compute conditional proportions for the response variable within each row Include the total sample sizes Learning Objective 1: Example: Is There an Association Between Happiness and Family Income?
7 Learning Objective 2: Independence vs. Dependence For two variables to be independent , the population percentage in any category of one variable is the same for all categories of the other variable For two variables to be dependent (or associated), the population percentages in the categories are not all the same

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
8 Learning Objective 2: Independence vs. Dependence Are race and belief in life after death independent or dependent? The conditional distributions in the table are similar but not exactly identical It is tempting to conclude that the variables are dependent
9 Learning Objective 2: Independence vs. Dependence Are race and belief in life after death independent or dependent? The definition of independence between variables refers to a population The table is a sample , not a population

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
10 Even if variables are independent, we would not expect the sample conditional distributions to be identical Because of sampling variability, each sample percentage typically differs somewhat from the true population percentage Learning Objective 2: Independence vs. Dependence
11 Chapter 11: Analyzing the Association Between Categorical Variables Section 11.2: How Can We Test Whether Categorical Variables Are Independent?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
12 Learning Objecti ves 1. A Significance Test for Categorical Variables 2. What Do We Expect for Cell Counts if the Variables Are Independent? 3. How Do We Find the Expected Cell Counts? 4. The Chi-Squared Test Statistic 5. The Chi-Squared Distribution 6. The Five Steps of the Chi-Squared Test of Independence
13 Learning Objectiv es 1. Chi-Squared is Also Used as a “Test of Homogeneity” 2. Chi-Squared and the Test Comparing Proportions in 2x2 Tables 3. Limitations of the Chi-Squared Test

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
14 Learning Objective 1: A Significance Test for Categorical Variables Create a table of frequencies divided into the categories of the two variables The hypotheses for the test are: H 0 : The two variables are independent H
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 08/01/2011 for the course STAT 101 taught by Professor Thomas during the Spring '11 term at Penn State.

### Page1 / 83

34 - Chapter 11 Analyzing the Association Between...

This preview shows document pages 1 - 15. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online