The Backgammon case study and data sets.
Links:
Download the case study
Download the data set - 1
Download the data set - 2
One-Way ANOVA:
Determine if a backgammon program is about the same in 2011 and 2012 as it was in 1998, or if there appear to have been upgrades at some point. Also, determine whether a professor is demonstrably superior in play to the program. Key ideas: One-Way ANOVA, testing assumptions, F ratio, R2, and basic computations.
JMP features demonstrated:
Analyze > Distribution, Tables > Stack, Analyze > Fit Y by X, Formula Editor
Statistical/Graphical Tools Used:
Histograms, confidence intervals, stacking data, One-Way ANOVA, Unequal Variances test, one-sample t-Test, ANOVA table and calculations, F Distribution, F ratios.
Revision History:
5/3/2016: Fixed an error in the formula on Page 12. The denominator was changed from n-1 to k-1. Thanks for a student at the UC San Diego for pointing this out.
Statistics case studies provided by Dewayne Derryberry of the Math Department at Idaho State University.
