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# The Chi-Square Distribution and the Analysis of Frequencies (3).docx

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School
Department
Statistics
Course
STATS 2B03
Professor
Aaron Childs
Semester
Fall

Description
November 7 , 2012 Stats 2B03: Statistical Methods for Science The Chi-Square Distribution and the Analysis of Frequencies (3) 12.4 Tests of Independence - the above test of homogeneity in an r × c contingency table is also a test of independence of the row factor and the column factor  H : P = P = … = P is the same as H : the row and column factors are 0 1 2 k 0 independent  If 0 is not rejected, then we cannot conclude that the factors are independent. We can only conclude that there is not strong evidence of dependence Russel’s Paradox (not related to independence) - suppose that we observe the following data: Observed table (O) Heart attack No heart attack Total Aspirin 165 110 275 No aspirin 150 175 325 - aspiring group: had a heart attack - no aspirin group: had a heart attack - this data suggest that aspirin increase
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