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Lecture

# Week 12.docx

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School
Pennsylvania State University
Department
Statistics
Course
STAT 200
Professor
Andrew Wiesner
Semester
Spring

Description
11/9/10 Week 12 Association between Categorical Variables What if study involved race and political party affiliation? What if study involved analysis if relationship between smoking and lung cancer Our class we will restrict our conversation to two categorical variables with only two levels for each  variable (ex. Gender, yes/no) A university is concerned about financing it’s sports programs to include student input they are  interested to see if their exists a relationship between gender and attitude about equally supporting  male and female sports teams. To answer: university takes a random sample from it’s student population and asks gender and yes  or no about supporting question. 1. What is gender? (Male/female) label this variable Gender 2. Believe in equal support? (Yes/no) label this variable equal support Study is done where 877 students responded to study From this we create a row by column rows “r” and “c” number of columns where r and c are simply  the number of levels for each respective variable. We use as rows the levels for the explanatory categorical variable (ex. The variable that would  influence the other variable) Gender No Yes Total Female 72 466 538 Male 181 158 339 Total 253 624 877 Observed table (what we observed from sample data) If there were no relation
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