In this method, the observed numbers of cases falling into each of the intervals have been found above. Now, assuming that the null hypothesis is true, the expected numbers in each of the intervals ...

The aim of this paper is to relate and extend some recent work on chi-square goodness-of-fit tests. There is no discussion of any problems which are specifically associated with more than one ...

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 ...

The first thing any scientist does before performing an experiment is to form a hypothesis about the experiment's outcome. This often takes the form of a null hypothesis, which is a statistical ...

Recall that a chi-squared test of independence can be used for two categorical variables and write down the null hypothesis for this test Explain the basic idea of a chi-squared test, namely that the ...