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Rolling dice

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Keywords:
dice
Categories:
generalized linear models;
popular
Description:
The data come from an experiment to determine the probability of rolling a six from non-cubic dice. The dice have two faces of size 1 x 1 (both marked with a six) and four faces of 1 x r. That is, the die is of size 1 x 1 x r. Various size dice were constructed from wood and rolled; the number of sixes observed were counted.

There are 36 observations on four variables.

Variables:
r The aspect ratio of the die, as explained in the Description above.
Rolls The number of times each die was rolled.
Sixes The number of sixes observed.
Group The group doing the experiment; one of 1, 2, 3, A, D or S. Groups 1, 2 and 3 were school children; Groups A, D and S were actually individuals in a Honours class
Data Quality:
There are no missing values.
Source:
The data for Groups 1, 2 and 3 were collected by Year 11 and 12 school children at Maths Day 2002 in Toowoomba, Australia. The data for Groups A, D and S were collected by individual Honours students.
Notes:
Thanks to Oliver Kinder for constructing the three sets of dice used for the experiment.
References: