Chi-square hypothesis tests as Non-parametric test(X2)

They contain amongst others

i.    Test for goodness of fit

ii.   Test for independence of attributes

iii.  Test of homogeneity

iv.  Test for population variance

The Chi-square test (χ²) is utilized while comparing an actual observed distribution along with a hypothesized or described distribution.

It is described by; χ² =  Σ(O - E)²/E     Whereas O = Observed frequency

                                                                             E = Expected frequency

The computed value of χ² is compared along with that of tabulated χ² for a given significance level and degrees of freedom.