Explaining nonparametric statistics, part 1

An explainer video on the Wilcoxon Rank-Sum test, a nonparametric alternative to the one-sample t-test. Nonparametrics are useful when our data doesn't look like it can be accommodated by more standard hypothesis tests.

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[ln]

What a time to be alive... just open YouTube and get educational quality content to procrastinate from your statistic lectures. Thank you!

[Sarwaan]

I minored in Statistics and I always wondered how we would handle data that doesn’t follow a certain distribution. I’m glad I stumbled on this video

[sokh]

I appreciate everything you do in these videos. A sincere thank you, you helped me a lot.

[nd_ntr]

nonparametrics sounds like a branch of the SCP Foundation

[Sir-Mighty-Mike]

This was very well explained. Thanks for sharing your insight!

[jeffreychandler]

I've heard some people argue that rank based nonparametric methods are not very useful because you aren't measuring the data, but the ranks of the data, which is a fundamentally different problem.
What do you make of this debate?
Ive seen the wasserman "all of nonparametric statistics" cited as providing alternatives and support for that contention.

[maloevain]

Excellent video but at min 4.15 it should not be the density distribution fonction rather than the cdf ? Because the cdf is strictly increasing.

[zacsanchez]

I'd like to know more about where such a statistic was derived from, I'm not an expert but it seems like a sort of intuitive way(almost back of the envelope-ish) to get the behaviour you described at 6:47

[robertwilsoniii]

The Central Limit Theorem *always* applies. But, it *also* marginalizes different groups and minorities in the population. And for that reason, I do prefer non-parametric models.

[Inter_Are]

Question!! How could you test if the “typical non-work watch time” was either significantly less than or greater than the 60 min?
(Let’s say you get mad at your employees for watching on the clock, but in reality they watch near 0 min which is causing the low p-value)

[huhuboss]

Will you cover Dempster–Shafer theory in the future?

[Neptoid]

What if you need to watch a YouTube tutorial? It still would count as a non-work site wouldn’t it?

[Minisynapse]

Would love some content on complex linear models, mixed linear models and all that. But maybe you'd have to start with general linear models first.

[prod.kashkari]

You should also cover nonparametric regression stuff, like smoothing

[lordzekrom]

Pretty sure I get an entire class on these and SEMs next semester

[johanngambolputty]

Wait a second, was hypothesis testing P(param | data) is proportional to P(data | param) (by bayes) all along? Makes sense I suppose, you do that in maximum likelihood estimation I think, this seems like the instantaneous version, where you're judging one case before moving to a more likely param candidate? (single cost evaluation rather than whole optimisation?)

[OneDSystems]

which SW do you use to show the formulas with the animations and the graphs, curves, etc?

[georgessakr]

opinion abput all of nonparametric statistics by Wasserman?
Also any suggestions on bayesians / monte carlo methods??

[joelbaptista]

I don't have a lot of knowledge in statistics, so this question might sound dumb. The only thing we've assumed about the distribution to perform this test is that the distribution is symmetric, right?

[glebpl]

to this day i can`t understand this "thing" with t-test, data not normally distributed and using Central Limit Theorem((( what does it mean with a big bunch of data distributed not-normally?
just bootstrap it million times and get new set of bootstrapped means, which will be normally distributed and use t-test on them?