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SIMPSON’S PARADOX

SIMPSON’S PARADOX. 1 man treated with A recovered. 4 men treated with A did not recover. 4 women treated with A recovered. 5 women treated with A did not recover. 3 men treated with B recovered. 7 men treated with B did not recover. 1 woman treated with B recovered.

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SIMPSON’S PARADOX

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  1. SIMPSON’S PARADOX

  2. 1 man treated with A recovered. 4 men treated with A did not recover. 4 women treated with A recovered. 5 women treated with A did not recover. 3 men treated with B recovered. 7 men treated with B did not recover. 1 woman treated with B recovered. 1 woman treated with B did not recover. Simpson’s ParadoxA and B represent two treatments for a terrible disease. In the following study 26 people with this disease were treated. Some chose treatment A, others chose B. The following data was collected.

  3. Treatment A Treatment B Cure rate=3/10=30% Cure rate = 1/5=20% Cure rate=1/2=50% Cure rate=4/9=44% Treatment B has a higher cure rate for men AND Treatment B has a higher cure rate for women.

  4. Treatment A Treatment B Cure rate=3/10=30% Cure rate = 1/5=20% B has a higher cure rate for men Cure rate=1/2=50% Cure rate=4/9=44% B has a higher cure rate for women 5 of the total number of 14 people treated with A survived. Cure rate=5/14=36% 4 of the total number of 12 people treated with B survived. Cure rate=4/12=33% But A has a higher cure rate overall !

  5. A MOST INGENIOUS PARADOX

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