lecture_11 - Three-way Contingency Tables Lecture 11 ILRST...

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        Three-way Contingency Tables Lecture 11 ILRST 212
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            Partial association Example:                               Death penalty Victim’s race    Defendant’s race      Yes   No     Percentage                                                                              Yes  White                White                 53       414        11.3                           Black                 11        37         22.9 Black                  White                  0        16          0.0                           Black                  4        139         2.8 Total                   White                 53       430         11.0                           Black                 15       176         7.9
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            Simpson’s Paradox The result that a marginal association can have different  direction from the conditional associations is called  Simpson’s Paradox.
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           Simpson’s Paradox Firstly , lets control for death penalty:    Table is given below:                           defendants race  Victim race          White        Black       White            467            48       Black             16             143   What is Odds ratio?
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            Partial association Example:                               Death penalty Victim’s race    Defendant’s race      Yes   No     Percentage                                                                              Yes  White                White                 53       414        11.3                           Black                 11        37         22.9 Black                  White                  0        16          0.0                           Black                  4        139         2.8 Total                   White                 53       430         11.0                           Black                  15       176         7.9
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          Simpson’s Paradox
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