One approach to the problem of analyzing classroom interaction by use of a Markoff chain is presented. The two sections of the paper present (1) a discusion of Hoel's test of order of a Markoff chain, and a Likelihood Ratio Criterion (LRC) for a two-dependent Markoff chain is given, and (2) a discussion of possible adjustments of Darwin's LRC with which to analyze data on a one-dependent chain assumption. The results of Hoel's test of order of a Markoff chain showed that a two-dependent (Order two) model is a better fit to interaction data than the one-dependent model (Order one). Tables and graphs present the statistical data. (DB)