1. Adapted from Dan Kennedy Baylor School Chattanooga, TN
Simpson’s Paradox
Adapted from Dan Kennedy Baylor School Chattanooga, TN

2. Is there discrimination in admissions?
Simpson’s Paradox
Is there discrimination in admissions?
A college offers only two degree programs, one in electrical engineering and one in English. Admissions to these programs is competitive, and the women’s caucus suspects discrimination against women in the admissions process.
Male
Female
Admit 35 20
Deny 45 40
Total 80 60
web.hcpss.org/~theimiller/Simpson’s_Paradox_Example.ppt

3. The College’s Defense Engineering English Male Female Admit 30 10 Deny
Total 60 20
Male
Female
Admit 5 10
Deny 15 30
Total 20 40

4. Conclusion
The English program is more difficult to get into than the engineering program. Because more females are applying to the program that is more difficult to get into, more females are being rejected than males.

5. Adapted from Dan Kennedy Baylor School Chattanooga, TN
Bali High has an intramural volleyball league. Going into spring break last year, two teams were well ahead of the rest:
Team
Games
Won
Lost
Percentage
Spike 7 5 2
.714
Finesse 10 3
.700
Both teams struggled after the break:
Team
Games
Won
Lost
Percentage
Spike 12 2 10
.167
Finesse 1 9
.100
Adapted from Dan Kennedy Baylor School Chattanooga, TN

6. Team
Games
Won
Lost
Percentage
Spike 7 5 2
.714
Finesse 10 3
.700
Team
Games
Won
Lost
Percentage
Spike 12 2 10
.167
Finesse 1 9
.100
Team
Games
Won
Lost
Percentage
Spike 19 7 12
Finesse 20 8
.368
.400
Despite having a poorer winning percentage than Spike before and after spring break, Finesse won the trophy!