120 likes | 268 Views
?. ?. ?. SIMPSON’S PARADOX How does it happen?. Pamela Leutwyler. A perfume company is testing two new scents: Citrus And Orange blossom. 28 single women volunteer to test these products. 15 are Eagles cheerleaders. 13 are members of Granny’s bingo club. 13 women choose CITRUS.
E N D
? ? ? SIMPSON’S PARADOX How does it happen? Pamela Leutwyler
A perfume company is testing two new scents: Citrus And Orange blossom
15 are Eagles cheerleaders 13 are members of Granny’s bingo club
13 women choose CITRUS 15 women choose ORANGE
80% success rate 70% success rate 4 OF THE 5 CHEERLEADERS WHO USED CITRUS FOUND LOVE! 7 OF THE 10 CHEERLEADERS WHO USED ORANGE FOUND LOVE! CITRUS appears to be more effective for cheerleaders
2 OF THE 8 GRANNIES WHO USED CITRUS FOUND LOVE! 1 OF THE 5 GRANNIES WHO USED ORANGE FOUND LOVE! 80% success rate 70% success rate CITRUS appears to be more effective for grannies 20% success rate 25% success rate
CITRUS is better for cheerleaders 80% success rate 70% success rate CITRUS is better for grannies 20% success rate 25% success rate
6 of the 13 women who used Citrus found love. 46% 8 of the 15 women who used Orange found love. 53% Overall Orange has a higher success rate
How can it happen that CITRUS works better for cheerleaders and CITRUS works better for grannies While ORANGE works better overall??? Where are most of the cheerleaders? Where are most of the grannies?