Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated
MA19.8A.40b
Recognize and explore situations where the association between two categorical variables is reversed when a third variable is considered (Simpson’s Paradox). [Algebra I with Probability, 36]
Recognize and explore situations where the association between two categorical variables is reversed when a third variable is considered (Simpson’s Paradox). [Algebra I with Probability, 36]
COS Examples
Example: In a certain city, Hospital 1 has a higher fatality rate than Hospital 2. But when considering mildly-injured patients and severely-injured patients as separate groups, Hospital 1 has a lower fatality rate among both groups than Hospital 2, since Hospital 1 is a Level 1 Trauma Center. Thus, Hospital 1 receives most of the severely-injured patients who are less likely to survive overall but have a better chance of surviving in Hospital 1 than they would in Hospital 2.
