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Showing posts with the label central limit theorem

Stats Arts and Crafts...Starts and Crafts?

My friends, winter is coming. Winter in Erie, PA, is no joke, so I've been encouraging my kids to pick up inside hobbies. My youngest is all about flipbooks right now, which inspired me to create my own statsy flipbook: Which, in turn, inspired me to create a blog post about statsy crafts. Crafts that you can do over Winter break for fun or maybe use as assignments for your students? A DIY Christmas gift for your favorite statistician?  The flipbook idea is an easy one to implement, as you only need index cards, a binder clip, and a pencil. Actually, many these can be done on the cheap if you have Legos, paper and pen, a log, yarn, baking supplies around. Not free, but not too expensive, either.  Data visualization via knitting A knitting-data-visualizer tracked temperatures via a knitting project, seen below. The different colors of yarn represent different temperatures on different days. Here is a full article from Gizmodo , which includes a link where you can purchase suppl...

Dozen of interactive stats demos from @artofstat

This website is associated with Agresti, Franklin, and Klinenberg's text Statistics, The Art and Science of Learning from Data ( @artofstat ), and there are dozens of great interactives to share with your statistics students. Similar and useful interactives exist elsewhere, but it is nice to have such a thorough, one-stop-shop of great visuals. Below, I have included screengrabs of two of their interactive tools. They also explain chi-square distributions, central limit theorem, exploratory data analysis, multivariate relationships, etc. This interactive about linear regression let's you put in your own dots in the scatter plot, and returns descriptive data and the regression line, https://istats.shinyapps.io/ExploreLinReg/.  Show the difference between two populations (of your own creation), https://istats.shinyapps.io/2sample_mean/

Roeder's What If God Were A Giant Game Of Plinko?

Roeder, writing for fivethirtyeight.com, has come up with a new way to illustrate the Central Limit Theorem. And it uses Plinko, the beloved The Price is Right game! http://www.businessinsider.com/price-is-right-contestant-plinko-record-2017-5 Well, a variation upon Plinko, featured on the NBC game show The Wall. Their Plinko is much larger and more dramatic and the slots at the bottom go up to $1 million. See below. http://selenahughes.com/1553-2/ How does CLT come into play? Well, the ball is randomly thrown down The Wall. And people jump around and hope for certain outcomes. But what outcome is most likely over time? For the pattern of ending positions to conform to the normal curve. Which it did. See below. https://fivethirtyeight.com/features/what-if-god-were-a-giant-game-of-plinko/ The article itself gets pretty spiritual as the author starts talking about randomness, of the show and of life. You can steal, but cite, the game show as example of CLT as he ...

If your students get the joke, they get statistics.

Gleaned from multiple sources (FB, Pinterest, Twitter, none of these belong to me, etc.). Remember, if your students can explain why a stats funny is funny, they are demonstrating statistical knowledge. I like to ask students to explain the humor in such examples for extra credit points (see below for an example from my FA14 final exam). Using xkcd.com for bonus points/assessing if students understand that correlation =/= causation What are the numerical thresholds for probability?  How does this refer to alpha? What type of error is being described, Type I or Type II? What measure of central tendency is being described? Dilbert: http://search.dilbert.com/comic/Kill%20Anyone Sampling, CLT http://foulmouthedbaker.com/2013/10/03/graphs-belong-on-cakes/ Because control vs. sample, standard deviations, normal curves. Also,"skewed" pun. If you go to the original website , the story behind this cakes has to do w...

The New York Times "As ‘Normal’ as Rabbits’ Weights and Dragons’ Wings"

The Central Limit Theorem, explained using bunnies and dragons . Brilliant. I don't use this to introduce the topic, but I do use it to review the topic. Property of Shu-Yi Chiou

Khan Academy's Central Limit Theorem

Khan Academy has plenty of fair use videos for "learning anything". They have a number of statistics/probability examples in their library. Including the Central Limit Theorem video below (I highlight this one as CLT usually leads to a lot of head scratching in my class).