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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 ...

Math With Bad Drawing's "Why Not to Trust Statistics"

Bad Math with Drawings has graced us with statistical funnies before (scroll down for the causality coefficient ). Here is another one, a quick guide pointing out how easy it is to lie with descriptive statistics. Here are two of the examples, there are plenty more at Math With Bad Drawings. https://mathwithbaddrawings.com/2016/07/13/why-not-to-trust-statistics/ https://mathwithbaddrawings.com/2016/07/13/why-not-to-trust-statistics/

Using The Onion to teach t-tests

In the past, I've used fake data based on real research to create stats class examples. Baby names, NICUs, and paired t-test . Pain, surgical recovery, and ANOVA . Today, I've decided to use fake data and fake research to create a real example for teaching one-sample t-test. It uses  this research report from The Onion: https://www.theonion.com/toddler-scientists-finally-determine-number-of-peas-tha-1820347088 In this press release, the baby scientists claim that the belief that a baby could only smash four peas into their ear canal were false. Based upon new research recommendations, that number has been revised to six. Which sure sounds like a one-sample t-test to me. Four is the mu assumed true based upon previous baby ear research. And the sample data had a mean of 6, and this was statistically significant. Here is some dummy data that I created that replicates these findings, when mu/test value is set to 4. : 5.00 6.00 7.00 6.00 5.00 6.00 6.00 5.0...

Yau's Real Chart Rules to Follow

The sum of the parts is greater than the whole? Nathan Yau's article on creating readable, useful graphs   is a perfectly reasonable list of how to create a proper graph. The content is sound. So, that's good. However, the accompanying images and captions are hilarious. They will show your students how to make not-awful charts.

Wilson's "Why Are There So Many Conflicting Numbers on Mass Shootings?"

This example gets students thinking about how we operationalize variables. Psychologists operationalize a lot of abstract stuff. Intelligence. Grit. But what about something that seems more firmly grounded and countable, like whether or not a crime meets the criteria for a a mass shooting? How do we define mass shooting? As shared in this article by Chris Wilson for Time Magazine , the official definition is 1) three or more people 2) killed in a public setting. That is per the current federal definition of a mass shooting . But that isn't universally excepted by media outlets. The article shares different metrics used for identifying a mass shooting, depending on what source is being used. Whether or not to include a dead shooter towards the total number killed. Whether or not the victims were randomly selected. I think the most glaring example from the article has to do with the difference that this definition makes on mass shooting counts: You could also discuss wi...

Logical Fallacy Ref Meme

So, I love me some good statsy memes. They make a brief, important point that sticks in the heads of students. I've recently learned of the Logical Fallacy Ref meme. Here are a couple that apply to stats class:

Climate Central's The First Frost is Coming Later

So, this checks off a couple of my favorite requisites for a good teaching example: You can personalize it, it is contemporary and applicable, it illustrates a few different sorts of statistics.  Climate Central wrote this article about first frost dates, and how those dates, and an increasing number of frost-free days, create longer growing seasons.  The overall article is about how frosty the US is becoming as the Earth warms. They provide data about the first frost in a number of US cities. It even lists my childhood hometown of Altoona, PA, so I think there is a pretty large selection of cities to choose from. Below, I've included the screen grab for my current home, and the home of Gannon University, Erie, PA. The first frost date is illustrated with a line chart, but the chart also includes the regression line. Data for frosty, chilly Erie, PA The article also presents a chart that shows how frost is related to the length of the growing season in t...