# Algebra level symbolic math

• ### Cartoon: Perspective

A cartoon to teach about using summary statistics to draw out the salient features of a data set. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University). Free to use in the classroom and on course web sites.
• ### Song: It Don't Mean A Thing (If You Don't Do Modelling!)

A song to stress the importance of modeling in statistical analyses. 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 Duke Ellington and Irving Mills' 1932 big band standard "It Don't Mean a Thing (If It Ain't Got That Swing)"
• ### Song: The model I Love

A song to aid in discussions about various issues in statistical modeling. 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 1927 standard "The Man I Love"
• ### 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"
• ### Song: Summertime

A song to aid in discussions about the quality of fit of a statistical model. 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 Gershwin Dubose Hayward's 1935 standard "Summertime"
• ### **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.
• ### The Distributions of Sample Statistics

A webpage in which links are provided to histograms of sample statistics (mean, median, standard deviation, maximum etc.) as a function of sample size. Each time the REFRESH button is clicked a new set of 2000 samples is generated.
• ### Quote: Rickey on Luck

Luck is the residue of design is a quote by American baseball executive Branch Rickey. The quote appeared in the February 21, 1946 issue of the "Sporting News". The quote is also often attributed to 17th century English poet John Milton - but that source has not been confirmed.
• ### The Normal Distribution JAVA Applet: An Illustration of Basic Probability

This simulation involves a series of balls passing through bins to eventually yield a normal distribution. Information is also provided about what the normal distribution is.

• ### Analysis Tool: Student's t-test JAVA Applet

This java applet can be used to determine whether or not the means in two sample populations are significantly different.