Based on a significance level (0.05is commonly used), this code prints whether the dataset is probably Gaussian or probably not Gaussian. Ifp > 0.05, we fail to reject the null hypothesis, suggesting the data is probably Gaussian. Ifp <= 0.05, we reject the null hypothesis, suggesting the data is probablynot Gaussian.
Here is my review: ChatGPT (not GPT-4, but definitely use that instead) tells us what the test is for, how to import the relevant library and where it comes from, how to create example data and what type it is, about the statistics returned, about printing, and what each statistics result means. That’sreally helpful!
What could it do better? Maybe it could suggest other tests that might be able to do this, when to not use the test, and whether it might be able to critique the code. We can askthe following:
ChatGPT, when should I not use thisstatistical test?
ChatGPT lists six points and details that the test gets better with larger sample sizes, but there is a limit. It might also find significance where there isn’t any, on very large sample sizes. ChatGPT also mentions non-Gaussian distributions and sensitivity to outliers and uses other tests and actions to confirm that the data is to benormally distributed.
There are far more details, which I won’t get into here, for brevity, but I’m sure if you ask the AI for it, it’ll give you goodinformation [ChatGPT].
We could also ask Gemini to critiquethe code:
Critique the code and give us some visualizations to help us understand theShapiro-Wilk test.
Let’s check how that compares with what Gemini says about the code...