Multivariate Quantitative Relationships

  • A game for use in the active learning of linear regression and sampling biases. TigerSAMPLING is almost identical to TigerSTAT. However in the TigerSAMPLING game there are additional questions that emphasize BIAS and GENERALIZABILITY. These games collect data and explore models for estimating the age of a Siberian tiger. In this game, students act as researchers on a national preserve where they are expected to catch tigers, collect data, analyze their data (using the simple linear regression on transformed data), and draw appropriate conclusions. The TigetSTAT labs handouts were created by Rod Sturdivant (Ohio State University), Kevin Cummiskey (West Point) and John Jackson (West Point). Tietronix Software developed the game. This resource is part of the Stat2Labs collection.
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  • A game to help in the active learning of concepts in experimental design, regression, and significance testing. Shapesplosion is an on-line game in which a person is expected to place specifically shaped pegs into the appropriate holes within a short time period. In this project, students are asked to use the Shapesplosion game to design an experiment and collect data. This game is specifically designed so that students have the opportunity to develop and test their own unique research question. You can leave all the variables blank when you are simply trying out the game, however, if you want to find your score is the database of results, you will need to select the Participant Info box. This resource is particularly suitable for project oriented teaching and is part of the Stat2Labs collection at Grinnell College that includes instructor notes and student handouts created with funding from NSF-DUE grant #1043814 (Shonda Kuiper, PI).
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  • A game to help students learn to visualize the relationship between a scatterplot and the associated correlation coefficient. The Correlation Guessing Game provides panels of four scatterplots and challenges you to match them with four potential values of Pearson's correlation. The game is offered by Wiley Publishing as an online supplement to the introductory statistics book by Prem Mann. The game is a Flash version of a popular game originally created in the 1990's by John Marden at University of Illinois Urbana-Champaign.
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  • A pun to familiarize students with Anscombe's Quartet - the group of 4 data sets with the same means, standard deviations, correlations, and regression lines for X and Y that were produced by British statistician Frank Anscombe in a 1973 paper in the American Statistician. The joke was written in 2016 by Larry Lesser from The University of Texas at El Paso. This joke should be used in a written form since students will not "get" the joke if they have never heard of Anscombe's Quartet - the value for teaching coming from having them look it up. Alternatively, it can be used in an oral presentation following an activity on this topic.

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  • A pun to be used in discussing the concept of regression to the mean. The joke was co-authored in 2017 by Larry Lesser (The University of Texas at El Paso) and Dennis Pearl (Penn State University).

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  • A quote to initiate a discussion of the fact that correlation does not imply a causal relationship (especially spurious correlations that happen by coincidence). The quote is by American novelist and poet Siri Hustvedt (1955 - ) from her 2011 novel The Summer Without Men.
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  • This case study starts by the simple comparison of the prices of houses with and without fireplaces and extends the analysis to examine other characteristics of the houses with fireplace that may affect the price as well. The intent is to show the danger of using simple group comparisons to answer a question that involves many variables. The lesson shows the R code for doing this analysis; however, the data and the model could be used with another statistical software.

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  • The textbook, "Statistics: Unlocking the Power of Data," by Lock, Lock, Lock, Lock, and Lock, webpage has a collection of data sets which are used in their textbook. Even without the textbook, the variables are well named, and it is relatively easy to tell what the variables represent.
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  • This webpage provides an active learning lesson for linear regression. Resources include an in-class student activity sheet for two different levels of classes (Algebra I and Junior), a PowerPoint showing faces of famous people, and sheet with updated (to the end of current year) actual ages of the celebrities.
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  • A cartoon to teach about the average and about positive versus negative skew. The cartoon was created by Diane L. Evans from Rose-Human Institute of Technology and won an honorable mention in the CAUSE 2013 A-Mu-sing contest.
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