Fun

This haiku collection by Lawrence Mark Lesser from The University of Texas at El Paso was written in 2020 and won second place in the 2021 A-mu-sing Competition.  Each haiku in the collection addresses some property or real-world application of expected value that can be explored in class: the math and psychology in the structuring of an internationally syndicated game show (Deal or No Deal), tree diagrams (that students can do a calculation to verify in a realistic popular context of college basketball, showing how the EV need not correspond to the most likely outcome), an engaging probability paradox (in the context of the most popular animal Americans own as pets), the interaction with utility when making consumer decisions, a concrete visual analogy for a distribution’s expected value (inspired by Figure 2 of Martin’s July 2003 JSE article), and the concept of an estimator’s bias, and the how EV and mean express the same idea but in different contexts (random variable versus a sample, population or probability distribution). 

A video from the 2019 US Conference On Teaching Statistics where Dennis Pearl from Penn State University is introducing the winner of that year's CAUSE/USCOTSLifetime Achievement Award in Statistics Education.  He tells a story that can be useful in teaching the lesson that linear regression is inappropriate for making predictions well outside the range of the data. The story is loosely based on the phone call he made in ordering the trophy for the award.

A cartoon that can be used in discussing how choosing an appropriate sample size must balance budget and logistics along with statistical power. The cartoon was used in the April 2023 CAUSE cartoon caption contest and the winning caption was written by retired AP Statistics teacher Jodene Kissler.  The cartoon was drawn by British cartoonist John Landers (www.landers.co.uk) based on an idea by Dennis Pearl from Penn State University.  An alternate caption for the cartoon might be “The Negative Correlation Moving Company had trouble holding on to their shorter employees,” that can be used to discuss the difference between positive and negative associations.

A cartoon that  can be used to introduce ideas of the bias (degree of being on target) and reliability (degree of deviation) of estimators. The cartoon was used in the February 2023 CAUSE cartoon caption contest and the winning caption was written by Laurie Baker at the College of the Atlantic.  The cartoon was drawn by British cartoonist John Landers (www.landers.co.uk) based on an idea by Dennis Pearl from Penn State University.