Friday, July 19, 2013

Simpson's Law



"A familiar concept within statistical circles, but rarely part of mainstream discussions, Simpson’s Paradox observes that there are circumstances in which disaggregated trends (such as graduation rates among minority groups) may not track closely with aggregate trends (for example, the nation’s overall graduation rate). There even can be times when aggregate and disaggregated trends run counter to one another. In such cases, some initially unnoticed factor usually accounts for the non-intuitive findings.
Shifting demographic patterns are the likely explanation in the case of graduation rates. Over time, the public school population has come to consist of proportionally fewer traditionally higher-performing white students and more members of historically underserved groups, most notably Latinos.
All else being equal, population growth among groups with low average graduation rates will tend to suppress improvements in the overall graduation rate. Pertinent to the case of high school completion: The size of the Latino student population, whose graduation rate currently lags 21 percentage points behind that of non-Hispanic whites, has grown by 50 percent in the past decade alone."

Simpson's Law and Buffalo NY Graduation Rates

Population of ESL students in some Buffalo Schools is as high as 70%.

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