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110_lec14_Two_Way_Tables

110_lec14_Two_Way_Tables - Two-Way Tables A two-way table...

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Two-Way Tables A two-way table is a way to display bi-variate data when both variables are categorical. One variable is displayed in the rows, the other variable is displayed in the columns. Example: *A study at the University of Texas Southwestern Medical Center examined 626 people to see if there was an increased risk of contracting hepatitis C associated with having a tattoo. If the subject had a tattoo, researchers asked whether it had been done in a commercial tattoo parlor or elsewhere. *Intro Stats , DeVeaux, Velleman,Addison Wesley, 2004
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Tattoos & Hepatitis C Commercial Parlor Else- where None Totals Has Hepatitis C 17 8 18 No Hepatitis C 35 53 495 Totals
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Expected Count If there is no association between tattoos and hepatitis C, what is the expected count in each cell? total table al column tot x total row count expected =
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Tattoos & Hepatitis C Commer- cial Parlor Else- where None Totals Has Hepatitis C 17 (3.57) 8 (4.19) 18 (35.24) 43 No Hepatitis C 35 (49.26) 53 (56.81) 495 (477.76) 583 Totals 52 61 513 626
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Analyzing the Results Are the observed counts far enough away from the expected counts to give evidence that there is a relationship between hepatitis C and tattoos? In other words, hepatitis C and tattoos are not independent.
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