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  • A poem about type II errors in diagnostic testing using a diabetes test context.  The poem was written by Lawrence Lesser from The University of Texas at El Paso and received an honorable mention in the non-song category of the 2023 A-mu-sing Competition.  The author also provided the following outline for a lesson plan:

    Some sample questions (one per stanza) students can explore or discuss
    as a practical application of statistics to a prevalent disease
    that likely affects (or will) a friend or relative of almost everyone.

    First stanza: Look up history of diabetes prevalence to explore questions such as: Is “1 in 10” roughly accurate for the United States and how does that compare to other countries? Was the 2003 lowering of the threshold for a prediabetes diagnosis based on updated medical understanding of the disease or more of a policy decision to give an “earlier warning”?

    Second stanza: How does a hypothesis testing framework apply to an oral glucose tolerance test (OGTT)? It’s warned that a false positive is possible if the patient did not eat at least 150g of carbohydrates for each of the 3 days before the test. (This is likely what happened to the poet, whose diagnosis was overturned just 2 months later by an endocrinologist.)

    Third stanza: Given the usual trend that the null hypothesis usually means no effect, no difference, nothing special, explain whether it seems consistent that a normality test such as Anderson-Darling would let normality be the null. When might it make sense for a doctor to view having a particular disease as the null hypothesis (and what would be the Type I and Type II errors?)?

    Fourth stanza: Explain how having only a few individual values each day from a blood glucose meter (BGM) risks missing dangerously high variability of glucose (students can Google how high variability can be a risk factor for hypoglycemia and diabetes complications). Discuss how output from a Continuous Glucose Monitor (CGM) that records values every 5 minutes can be used to check, for example, that the coefficient of variation is sufficiently low (e.g., < 36%) and that “time in range” (e.g., 70-180 or 70-140 mg/dL) is sufficiently high. Example output is on page S86 of https://diabetesjournals.org/care/issue/45/Supplement_1.

    Fifth stanza: Have students look up current FDA guidelines on how accurate over-the-counter BGM readings need to be (e.g., https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7753858/) and have them connect this to margin of error, confidence intervals, etc.

    Sixth stanza: Find online the diabetes “plate method” of taking a circular plate (9” in diameter) for a meal where half of the plate would have non-starchy vegetables, a quarter having lean protein, and a quarter with carbohydrate foods such as whole grains. How do this breakdown and total quantity compare to a pie chart of a typical meal that you (or typical college undergraduates) eat?

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  • A song for discussion of the uses of weighting. In particular, Verse 1 hits the weighted mean (with a nod to Simpson’s paradox), Verse 2 connects with how/why poll data are weighted to help the sample more accurately reflect population characteristics, which can launch a discussion of what we adjust for (probability, sample design, demographics) and how (raking, matching, propensity weighting). This can be supported by examples in GAISE (https://www.amstat.org/docs/default-source/amstat-documents/gaisecollege...) and apps (e.g., https://sites.psu.edu/shinyapps/2018/12/03/weight-adjustment-in-surveys/). Finally, the Bridge touches on weighted regression. Lyrics by Larry Lesser from The University of Texas at El Paso; may be sung to the tune of the 1981 hit "The Waiting" by Tom Petty.  Thanks to UTEP’s Jose Villalobos for the song title. The song received an honorable mention in the 2023 A-mu-sing competition.

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  • A song about the value of ANCOVA in adjusting for a covariate. The lyrics were written by Greg Crowther (Everett Community College) and Leila Zelnick (University of Washington) and may be sung to the tune of "You're the One That I Want" by John Farrar and performed by Olivia Newton-John and John Travolta in the movie version of Grease. This parody was performed at the UW Division of Nephrology Grand Rounds on March 18, 2022 and placed tied for second in the 2023 A-mu-sing competition.

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  • A song for teaching about the multiplication rule.  Using the popular topic among young adults of relationships, the multiplication principle is memorably illustrated by having Paul Simon's #1 hit song (which states only a half-dozen ways to leave your lover, not 50) revisited to show 50 literal paths for ending a relationship: (5 reasons for the decision) X (5 methods to relay the decision) X  (2 options for handling acquired stuff). The lyrics were written by Larry Lesser from The University of Texas at El Paso to the tune of the same-titled 1975 song by Paul Simon.  Vocals in the audio recording are by Abeni Merryweather produced by Nico Acedo from UTEP's commercial music program.  The song tied for second place in the 2023 A-mu-sing contest.

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  • A joke for discussing the calculus prerequisite for an upper division probability course.  The joke was written by Dennis Pearl and Larry Lesser in October 2022.

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  • A song about the trimmed mean as a robust measure of distributional center.  The lyric was written by Dennis Pearl from Penn State University in May 2023 and may be sung to the tune of the KitKat jingle - music by Michael A. Levin and lyric by Ken Shuldman used in the KitKat candy bar advertisements since 1986.

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  • A cartoon for discussing time series plots. Here an instructor might ask if the graph shown is a possible function of time.  The cartoon was created by American cartoonist Jon Carter in 2017.

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  • A cartoon to initiate a discussion about cleaning data.  The cartoon was created by American cartoonist Jon Carter.

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  • A cartoon to be used in discussing forecasting. The cartoon was created by American cartoonist Jon Carter.

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  • A humorous cartoon that might be usefult to discuss the meaning of "Expectations" in the graph shown and how best to display the information provided in the two graphs if the relationship between expectations and sales is paramount. The cartoon was created by American cartoonist Jon Carter.

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