06 1450 Chapter 6 - Chapter 6 Two-Way Tables STAT 1450 Autumn 2014 6.0 Two-Way tables Connecting Chapter 6 to our Current Knowledge of Statistics In

06 1450 Chapter 6 - Chapter 6 Two-Way Tables STAT 1450...

This preview shows page 1 - 9 out of 45 pages.

Chapter 6: Two-Way Tables STAT 1450 – Autumn 2014
Image of page 1

Subscribe to view the full document.

Connecting Chapter 6 to our Current Knowledge of Statistics In Chapters 4 and 5 we investigated the linear relationship between two quantitative variables. Now we will look at examining the relationship between two categorical variables. Recall from Chapter 1 that categorical variables place individuals into one of several groups & counts or proportions are important. 6.0 Two-Way tables
Image of page 2
Categorical Variables Any set of n individuals could be placed into the 1 st , 2 nd , or, …, r th category for Categorical Variable I. Example: Categorical Variable I , Region of the United States Northeast, Midwest, South, West: r=4 6.0 Two-Way tables
Image of page 3

Subscribe to view the full document.

Categorical Variables This same set of n individuals could be placed into the 1 st , 2 nd , or, …, c th category for Categorical Variable II Example: Categorical Variable II The belief that global warming contributed to above average temperatures during December 2011 & January 2012 Agree, Disagree: c=2 6.0 Two-Way tables
Image of page 4
Categorical Variables There are (r*c) pairs of outcomes the individuals could be placed into. Example: 4 *2 = 8 pairs of outcomes. Northeasterners who agree that global warming increased temperatures in 12/11-1/12 Midwesterners who agree that global warming increased temperatures in 12/11-1/12 Southerners who agree that global warming increased temperatures in 12/11-1/12 “Westerners” who agree that global warming increased temperatures in 12/11-1/12 Northeasterners who do not agree that global warming increased temperatures in 12/11-1/12 Midwesterners who do not agree that global warming increased temperatures in 12/11-1/12 Southerners who do not agree that global warming increased temperatures in 12/11-1/12 “Westerners” who do not agree that global warming increased temperatures in 12/11-1/12 6.0 Two-Way tables
Image of page 5

Subscribe to view the full document.

Categorical Variables A two-way table helps us organize the data for a pair of categorical variables. Note: You might hear of this table referred to as a “contingency table.” 6.0 Two-Way tables
Image of page 6
Two-Way Table Example: Consider the following data from: Leiserowitz, A., Maibach, E., Roser-Renouf, C., & Hmielowski, J. D. (2012). Extreme Weather,Climate & Preparedness in the American Mind. Yale University and George Mason University. New Haven, CT: Yale Project on Climate Change Communication. retrieved 1/26/14). Question: Based upon your knowledge of this issue prior today’s class, would you expect an association between Region of U.S. and Belief that Global Warming Increased Temperatures during December 2011 and January 2012 ? Belief that Global Warming Increased Temperatures During December 2011 and January 2012 Region of U.S. Agree Disagree Total Northeast 140 46 186 Midwest 168 51 219 South 262 112 374 West 162 68 230 Total 732 277 1009 6.0 Two-Way tables
Image of page 7

Subscribe to view the full document.

Two-Way Table Example: Consider the following data from: Leiserowitz, A., Maibach, E., Roser-Renouf, C., & Hmielowski, J. D. (2012). Extreme Weather,Climate & Preparedness in the American Mind.
Image of page 8
Image of page 9

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes