The Chi Square

    The test is a common method to judge whether two given sets of data belong to the same distribution or not. The is given by:

where

If we compute the between the two chains 0 0 1 1 2 3 2 3 and  0 0 0 0 1 1 1 1 2 2 3 3 2 2 3 3. We note that

and

So the is given by

    Since the value is zero this means that the chain code 0 0 1 1 2 3 2 3 is scaling to the chain code   0 0 0 0 1 1 1 1 2 2 3 3 2 2 3 3. which means that the test can be used to solve the scaling problem.

    Fig. 5.28 shows a practical example to solve the problem of scaling. Since we use a "fig" leaf. The between the classical

chain codes of the "fig" leaf is