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Chi-square (χ 2 ) test

 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.

The term chi’ (is the Greek letter, it is pronounced ki). The chi-square
the test was originally developed by Kart-Peason in 1900 and is sometimes called the Peason Chi-square. 

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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