where O i is the observed values of bin i and F i is the simulated values of bin i. In this work , the bins were introduced for the chi - square test and can be operated through bin setting in the simulated distributions in any given data set . The bins were chosen to achieve equal probabilities for both observed frequency and expected frequency . The total number of bins was calculated automatically based on input data set . The chisquare test results of all three simulated distribution are shown in Table 1 .