The chi-square test is a statistical hypothesis test that is used to compare observed and expected counts in a contingency table. Its uses include: tests for independence, tests for homogeneity, and ...

The chi-square test, likelihood ratio test, and other goodness of fit tests in a family are shown to have monotonic power functions, and hence are unbiased, for testing a simple hypothesis that all ...

When applying the Markov model, it is often assumed the transition matrix is stationary and of order one. This article considers the problem of applying the transformed likelihood ratio statistic and ...