Chi-square (x2) test: This is one of the most important non-parametric statistics. As we see further that chi-square is used for several purposes.
According to Garecte (1981). The difference between observed and expected frequencies are squared and divided by the expected number in each case and the sum of these quotients is chi-square.
According to Guilford (1973). By definition an x 2 is the sum of ratio (any number can be summed), each ratio is that between a squared discrepancy of difference and an expected frequency.
On the basis of the above definitions, it can be said that the discrepancy between observed and expected frequencies is expressed in terms of a statistic named chi-square (x2).
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