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Recap of swimming analysis

1. Recap of swimming analysis

Let's recap what you have done in this case study on swimming results in the World Championships.

2. Statistical inference pipeline

In the analyses you just did, and also in the warm-up exercises and in the case study on Darwin's finches in Statistical Thinking II, you have progressed through a pipeline. You start with exploratory data analysis. As you go about EDA, the questions you seek to ask of your data are sharpened. When the pertinent parameters are clearly defined, you compute their optimal values, along with confidence intervals. Finally, you perform a hypothesis test. These are listed in the order in which you typically do them, and in my view, they are also listed in order of importance for acting on the results of your analysis. That is to say that sometimes a plot of your data by itself provides enough clarity to make meaningful conclusions. Quantifying the size of effects by computing confidence intervals is also quite useful. In my experience, by the time you get to the hypothesis test, you already have a good idea what your data are telling you. The hypothesis test then serves to hammer that home. You are going to continue to apply this paradigm in the next case study, and I suspect also in your real-world statistical analyses.

3. Keep it up!

The swimming case studies and the warm-up data are not easy to analyze. If you have made it this far, you are doing a great job and your skills are sharp. I think you will enjoy applying them to the next case study on earthquakes.

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