4.2 Relationships between Categorical Variables and Simpson’s Paradox

Slides:

Advertisements

Similar presentations

Data Analysis for Two-Way Tables

Advertisements

Introduction to Stats Honors Analysis. Data Analysis Individuals: Objects described by a set of data. (Ex: People, animals, things) Variable: Any characteristic.

Displaying & Describing Categorical Data Chapter 3.

Chapter 4: More on Two- Variable Data.  Correlation and Regression Describe only linear relationships Are not resistant  One influential observation.

Comparitive Graphs.

AP Statistics Section 4.2 Relationships Between Categorical Variables.

Section 2.6 Relations in Categorical Variables So far in chapter two we have dealt with data that is quantitative. In this section we consider categorical.

The Practice of Statistics

AP STATISTICS Section 4.2 Relationships between Categorical Variables.

Warm-Up List all of the different types of graphs you can remember from previous years:

Displaying & Describing Categorical Data Chapter 3.

BPS - 5TH ED.CHAPTER 6 1 An important measure of the performance of a locomotive is its "adhesion," which is the locomotive's pulling force as a multiple.

4.3 Categorical Data Relationships.

Relations and Categorical Data Target Goal: I can describe relationships among categorical data using two way tables. 1.1 cont. Hw: pg 24: 20, 21, 23,

Probability Unit 4 - Statistics What is probability? Proportion of times any outcome of any random phenomenon would occur in a very long series of repetitions.

Exploring Data Section 1.1 Analyzing Categorical Data.

Unit 3 Relations in Categorical Data. Looking at Categorical Data Grouping values of quantitative data into specific classes We use counts or percents.

CHAPTER 6: Two-Way Tables. Chapter 6 Concepts 2  Two-Way Tables  Row and Column Variables  Marginal Distributions  Conditional Distributions  Simpson’s.

Data Analysis for Two-Way Tables. The Basics Two-way table of counts Organizes data about 2 categorical variables Row variables run across the table Column.

Displaying Categorical Data THINK SHOW TELL What is categorical data? Bar, Segmented Bar, and Pie Charts Frequency vs. Relative Frequency Tables/Charts.

Two-way tables BPS chapter 6 © 2006 W. H. Freeman and Company.

Analysis of two-way tables - Data analysis for two-way tables IPS chapter 2.6 © 2006 W.H. Freeman and Company.

 Some variables are inherently categorical, for example:  Sex  Race  Occupation  Other categorical variables are created by grouping values of a.

BPS - 3rd Ed. Chapter 61 Two-Way Tables. BPS - 3rd Ed. Chapter 62 u In this chapter we will study the relationship between two categorical variables (variables.

Stat1510: Statistical Thinking and Concepts Two Way Tables.

Two-Way Tables Categorical Data. Chapter 4 1.  In this chapter we will study the relationship between two categorical variables (variables whose values.

Warm-up An investigator wants to study the effectiveness of two surgical procedures to correct near-sightedness: Procedure A uses cuts from a scalpel and.

Chapter 6 Two-Way Tables BPS - 5th Ed.Chapter 61.

Chapter 3: Descriptive Study of Bivariate Data. Univariate Data: data involving a single variable. Multivariate Data: data involving more than one variable.

Chapter 11 Chi-Square Procedures 11.2 Contingency Tables; Association.

Categorical Data! Frequency Table –Records the totals (counts or percentage of observations) for each category. If percentages are shown, it is a relative.

BPS - 3rd Ed. Chapter 61 Two-Way Tables. BPS - 3rd Ed. Chapter 62 u In prior chapters we studied the relationship between two quantitative variables with.

AP Statistics Section 4.2 Relationships Between Categorical Variables

4.3 Relations in Categorical Data.  Use categorical data to calculate marginal and conditional proportions  Understand Simpson’s Paradox in context.

Chapter 6 EPS Due 11/06/15.

Categorical Data! Frequency Table –Records the totals (counts or percentage of observations) for each category. If percentages are shown, it is a relative.

CHAPTER 6: Two-Way Tables*

4.3 Reading Quiz (second half) 1. In a two way table when looking at education given a person is 55+ we refer to it as ____________ distribution. 2. True.

MATH Section 5.6. Relations in Categorical Data A two-way table organizes the data for two categorical variables. The totals of each row and column.

Second factor: education

Analyzing Categorical Data

CHAPTER 1 Exploring Data

Warm Up Write down objective and homework in agenda

The Practice of Statistics in the Life Sciences Third Edition

AP Statistics Chapter 3 Part 3

Displaying and Describing Categorical Data

Analysis of two-way tables - Data analysis for two-way tables

Second factor: education

Data Analysis for Two-Way Tables

AP STATISTICS LESSON 4 – 3 ( DAY 1 )

CHAPTER 6: Two-Way Tables

Relations in Categorical Data

AP Statistics Chapter 3 Part 2

Section 8.1: Two-Way Frequency Tables

Second factor: education

Warmup Which part- time jobs employed 10 or more of the students?

Lesson Two-Way Tables Obj: I can 1) Construct two-way tables 2) Use two-way tables to summarize data HWK: Worksheet.

Chapter 2 Looking at Data— Relationships

Lesson Two-Way Tables Obj: I can 1) Construct two-way tables 2) Use two-way tables to summarize data HWK: Worksheet.

Section 4-3 Relations in Categorical Data

WARM – UP Eye Color Blue Brown Hazel 3 or below 14.0% 61.0% 25.0% 4+

Section 8.2: Relative Frequency

MATH 2311 Section 5.6.

Warm Up Unit 1 Review is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other.

Displaying and Describing Categorical data

Section Way Tables and Marginal Distributions

Elementary Statistics: Looking at the Big Picture

Relations in Categorical Data

Chapter 4: More on Two-Variable Data

MATH 2311 Section 5.6.

Presentation transcript:

4.2 Relationships between Categorical Variables and Simpson’s Paradox

Categorical Variables two-way table—describes 2 categorical variables; each entry can only appear once Instagram Twitter Snapchat Other Total Boys Girls Sex and Social Media are the 2 categorical variables

Which is a two way table? Died TOTAL Hospital A 30 100 Hospital B 38 68 200 Hospital vs Result of Life Gender vs Type of Car

Marginal Distribution describes only one of the categorical variables (look at MARGINS) % are better for marginal distributions Instagram Twitter Snapchat Other Total Boys Girls Ex: Percent on social media

Conditional Distributions finding percents for just one row or a column Instagram Twitter Snapchat Other Total Boys Girls Percent of Boys on: Instagram/Twitter/Snapchat/Other

Categorical Variables 1. What % of girls like Instagram? 2. What % of Twitter fans are boys? 3. What % of boys are Twitter fans?

Simpson’s Paradox 1st Half 2nd Half Total Player A 4/10 .400 25/100 .250 29/110 .264 Player B 35/100 .350 2/10 .200 37/110 .337 Simpson’s Paradox—an association or comparison that holds for all or several groups can reverse direction when combined to form a single group

Simpson’s Paradox LP RP Avg Andre Dawson .346 .283 .299 Lee Lacy .336 .266 .302 Dawson had a higher average against both left handed pitchers and right handed pitchers, but together had a lower average for the year. This is another example of Simpson’s Paradox

Exit Slip Create a side by side bar graph of the two way table “Sex vs Social Media”

HW: pg 301 #29; pg 303 #36-38