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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 × 1 (both marked with a six) and four faces of 1 × r. That is, the die is of size 1 × 1 × r, as in the image below.
Various size dice were constructed from wood and rolled; the number of sixes observed were counted.
There are 36 observations on four 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 |
The data are reported and used in:
Dunn, Peter K. (2003).
What happens when a 1×1×r die is rolled?
The American Statistician, 57(4), 258–264.
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 (A, D and S are the initials of their first names).