# One Numerical Variable

• ### **Histogram Explorer

This applet is designed to allow users to explore the relationship between histograms and the most typical summary statistics. The user can choose from several types of histograms (uniform, normal, symmetric, skewed, etc.), or can create their own by manipulating the bars of the histogram. The statistics available for display are mean, median, mode, range, standard deviation, and interquartile range. Also available is a "Practice Guessing" option, in which the values of the statistics are hidden until the user has entered guesses for each value.
• ### **Levels of Measurement Game

This tool provides individuals with opportunities to quiz themselves on levels of measurement in a game-like environment much like "Who Wants to be a Millionaire."
• ### Cartoon: Error Bars

A cartoon to teach the importance of including error bars to show the level of chance variation - as opposed to showing only the possibly strong trend that might be shown by averages. The cartoon is #22 in the "Life in Research" series at www.vadio.com. Free to use with attribution in the classroom or on course websites.
• ### Cartoon: The Largest Error Bar

A cartoon to teach about understanding large error bars (e.g. caused by the effect of outliers). The cartoon is #9 in the "Life in Research" series at www.vadio.com. Free to use with attribution in the classroom or on course websites.
• ### Song: It Ain't Necessarily So

A song to aid in discussions about statistical models with non-normal errors. Sung by Canadian singer Gurdeep Stephens. Lyrics copyright and music performed by Michael Greenacre of Pompeu Fabra University, Barcelona, Spain. May be sung to the tune of George and Ira Gershwin's 1935 standard "It Ain't Necessarily So"
• ### **ANOVA Simulation

The two worksheets enable instructors to demonstrate how changes in the magnitude of the treatment effects and of the standard deviation of the error term will impact significance in a One-Way ANOVA model. The user specifies three input values that influence the simulation of random observations. ANOVA calculations are provided for the student, leaving the focus on the interpretation of the results. The mirror site (found at http://misnt.indstate.edu/cmclaren/ANOVA_Note.doc) contains an article that can serve as a teaching note to accompany the worksheets.
• ### Webinar: Using Web Applets to Foster Active Learning in the Online Statistics Course

August 25, 2009 Activity webinar presented by Michelle Everson, University of Minnesota and hosted by Leigh Slauson, Capital University. In a classroom setting, students can engage in hands-on activities in order to better understand certain concepts and ideas. Replicating hands-on activities in an online environment, however, can be a challenge for instructors. The purpose of this webinar is to present an applet that was created to replicate a "Post-it Note" activity commonly used in classroom sections of an undergraduate introductory statistics course at University of Minnesota. The Post-it Note activity is meant to help students develop a more conceptual understanding of the mean and the median by moving a set of Post-it Notes along a number line. During the webinar, participants have an opportunity to see and experience just how online students are able to interact with an applet named the "Sticky Centers" applet, and the webinar presents the kinds of materials and assignments that have been created to use in conjunction with this applet. The webinar ends with a preview of a newer applet that is being developed in order to replicate the famous "Gummy Bears in Space" activity (presented in Schaeffer, Gnanadesikan, Watkins & Witmer, 1996). A supplemental student handout is available for download free of charge.
• ### Webinar: Introduction to Estimation - The German Tank Problem

September 22, 2009 Activity Webinar presented by Diane Evans, Rose-Hulman Institute of Technology and hosted by Leigh Slauson, Capital University. This webinar is based on an activity found at www.lhs.logan.k12.ut.us/~jsmart/tank.htm and other on-line resources (see references). During World War II, the British and U.S. statisticians used estimation methods to deduce the productivity of Germany's armament factories using serial numbers found on captured equipment, such as tanks. The tanks were numbered in a manner similar to 1, 2, 3, ..., N, and the goal of the allies was to estimate the population maximum N from their collected sample of serial numbers. The purpose of this activity is to introduce students to the concept of an unbiased estimator of a population parameter. Students develop several estimators for the parameter N and compare them by running simulations in Minitab. Extra materials available for download free of charge.
• ### Quote: Brown on Normal

Normal is the average of deviance is a quote by American writer and political activist Rita Mae Brown (1944 - ). The quote may be found on page 126 of her 1993 novel "Venus Envy", spoken by the main character Mary Frazier Armstrong.
• ### Quote: Sener on Extrapolation

Avoid Linear extrapolation ... The turkey's first 1000 days are a seemingly unending succession of gradually improving circumstances confirmed by daily experience. What happens on Day 1001? Thanksgiving. The quote is by John E. Sener (1954 - ) of Sener Learning services found in the on-line article "Strategies for Effective `20/20 Vision` -- #1: Avoid Linear Extrapolation" at www.senerlearning.net/?q=node/176. The quote is paraphrasing the turkey metaphor made famous by Bertrand Russell and Nassim Nicholas Taleb.