Today, we have done analysis to discern any potential discrepancies in the shooting of white and black individuals. Our initial search involved extracting key statistical measures for both datasets: minimum, maximum, mean, median, standard deviation, skewness, and kurtosis. These metrics provided a foundational understanding, which we further visualized using histograms.
Upon including age into our analysis, we noticed a deviation from the normal distribution in the age profiles of both black and white people killed by the police.
Given the non-normality of the data, we questioned the appropriateness of employing the t-test for calculating the p-value. Recognizing this limitation that the data is not normally disturbed, we used the Monte Carlo method to estimate the p-value. Our results suggested that the observed average age difference between black and white victims of police shootings is highly improbable to have occurred merely by chance.
The magnitude of this difference, we utilized Cohen’s d method. The resultant value of 0.577 indicates a medium effect size, pointing to a significant disparity between the two groups.
However, an important question persists: how can we incorporate data from all races to ensure a holistic understanding?