Beyond the Histogram: Moment-Ratio Diagrams for Modeling Distributions
September 23, 2025: 11:00 AM - 11:30 AM
Statistics, Modeling, and Analytics (SMA), Executive Dining Room #1

Authors Abstract
Rick Wicklin You’ve collected data, and now you’re examining a histogram. You want to fit a probability distribution to the data, but you’re unsure which distribution might serve as an effective model. The moment-ratio diagram is a powerful graphical tool that can guide this process. By plotting the sample skewness and kurtosis of your data on the diagram, you can identify potential distributional models. This presentation demonstrates: - How to construct a moment-ratio diagram using SAS 9 and SAS Viya. - How the diagram connects well-known probability distributions and families of flexible distributions. - How bootstrap methods can help assess which distributions are plausible candidates. - How to use a moment-ratio diagram to design a simulation study. Each topic is accompanied by SAS code that you can apply to your own data.