
nonparametric test assume that both are not from the same population(probability distribution), but still want to test the similarity between them(null hypothesis). Or it want to test wheter two population come from the same population

then we can make nonparametric test(eventhough ttest is also welcome).

More useful if the calculations is also returning median and mean. compare them

Sometimes we have nonnormal data, that we think it's similar

We want to know if both samples above are the same gaussian distribution

Make a histogram and plot if both have the same curve(which as we can see, no)

We can make both the same

w value is denotes from shapirowilk value test

p is like p in ttest, which determines the likelihood the w is as extreme as given our null hypothesis is the same

nonparametric is a term given statistical test, and not used for probability distribution

It also doesn't assume point c, as oppose to welch's ttest, which assume point c

There's still many statistical test that data scientist used which we just know until know like the tip of an iceberg.

It's important to know all these so we can use tests suitable to the data that we have.