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Test for the Order of a Markov-Chain

Output: Performs a test with the null hypothesis that the Markov chain is a first-order Markov chain and the alternative is that it is of order r.

Input: Enter your matrix in the form shown below in comma delimited format, example is for a 2 state markov chains but accepts input to any number of states. Therefore there will be n2 rows and n columns where n is the number of states.

ij/k12
11111112
12121122
21211212
22221222

Alpha:

Results will appear below.

Results