**Graduate student**: Derek Owens-Oas

**Faculty instructor**: David Banks

**Course**: STA 111 - Probability and Statistical Inference

- Introduced Duke undergraduates to a real world data set.
- Explored 15 years of traffic stop data, with 18 million observations of 53 variables.
- Students collaborated to answer relevant research questions using probability and statistics.
- Used statistical software to create pie charts, histograms, scatter plots, and other informative graphics.

### Summary

Students collaborated to explore the data and answer relevant research questions using probability and statistics. Furthermore, STATA, a statistical software package, was used to create pie charts, histograms, scatter plots, and other informative graphics.

### Procedures

In particular, data were stored in 17 large .dta files, each containing a sizable number of stops from years spanning 2000 to 2014. Each file corresponds either to one of 14 counties in North Carolina, Highway Patrol, DMV (Division of Motor Vehicles), SHP Motor Carriers (State Highway Patrol), or Other. Using STATA, students navigated the .dta files, selecting one county to focus on for deeper analysis.

Each traffic stop within a .dta file consists of 53 variables, including details such as the age, race, and sex of the driver; the city in which the stop occurred; and whether a search occurred. However, some of the variables are irrelevant to many of the stops. For instance, one variable, ounces, tells the number of ounces of illicit contraband found in the vehicle. For most traditional stops this is not applicable. This naturally exposes the concept of conditional probability, so that information can be extracted from relevant subsets of data.

To guide exploration, students were prompted by a variety of questions, some very open ended. A few sample questions are provided below:

- For what proportion of all stops was information collected about whether the vehicle was searched? Of those for which information is available, what proportion involved vehicle searches?
- Make a histogram of the month variable and the year variable. Carefully explain what these plots show. Do you notice any apparent trends in number of tickets throughout the year or over the years?
- Among all stops in which a driver was arrested, make a pie chart displaying proportion breakdown by race. Do you think this finding is indicative of racism? Why or why not?
- Give another theoretical example of officer prejudice and describe how basic statistics, probability, or data visualization (in STATA) could be used to investigate whether there is supporting evidence.

In summary, the questions required students to utilize basic probability and statistics, to visualize and explore data graphically, and to think critically about potential real-world problems that can be investigated.