illustrate a measure of association for nominal data. it will also help us to demonstrate the difference between measures of association and tests of significance. in chapter 16 we conducted a chi-square test to assess whether there was a relationship between level of education and enjoyment of work, we used this example to illustrate the effect that sample size can have on the value of a test statistic such as chi-square
the value of chi-square is not large enough to warrant the rejection ofthe null hypothesis of independence: the two variables do not seem to be related. yet by multiplying the sample size by 10, the value of chi-square in table 20.1b is now very large and significant: the difference between observed and expected frequencies is large enough to allow us to reject the null hypothesis of independence. but if we focus on the column