Chi-Square Test for Multiple Categories

This tool consists of two 'views': the * investigate * view and the * test *view. Use "Choose view" menu to move
between views.

Use the p-value to decide whether the die is fair. A small probability signifies that it is unlikely to get a chi-square value at least as large as the one observed if the die is fair.

Top Choose to roll either a fair die or a loaded die. The probabilities of observing each of the faces are displayed. Check boxes at the bottom allow investigation of

- Expected counts: the number of times each face is expected to be rolled: if the die is fair.
- Observed counts: the actual number of times each face is rolled.
- Differences: the difference between expected and observed counts for each face.
- Scaled differences: for each face, the square differences divided by the expected counts.

Press the "New die" button or one of the radio buttons to begin again.

Top

The chi-square statistic is the sum of the scaled differences of all die faces.