# May 2 - May 2 2008 Testing Hypothesis with categorical Data...

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May 2, 2008 Testing Hypothesis with categorical Data CHI-Square Categorical data o Our data are in categories: either nominal or ordinal, e.g.: Race and educational level Gender and approval of a political candidate o We can’t compute means and compare these means across categories o So we: 1. from a cross-tab table 2. perform a Chi-Square significance test Building cross-tabs o School suspensions and race: observed frequencies White African American (column sub-totals) Suspended 18 31 49 Not suspended 132 119 251 (row sub-totals) 150 150 300 o This is a 2 x 2 cross-tab (2 rows, 2 columns) o Sub-totals are called row and column marginals o The grand total is n=300 o Race = independent variable; suspension = dependent variable Building cross-tabs (2) o School suspensions and race: observed percentages White African American Suspended 12.0% 20.7% 16.33% Not suspended 88.0% 79.3% 83.67% 100% 100% 100% o Compare percentages across categories of your independent variable

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## This note was uploaded on 03/15/2009 for the course SOCI 301 taught by Professor Kupchick during the Spring '09 term at University of Delaware.

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May 2 - May 2 2008 Testing Hypothesis with categorical Data...

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