Web Chi Square Calculator: Results ------------------------------------------------------------------------ Untitled Column 1 Column 2 Total Row 1 6 3 9 Row 2 1 5 6 Total 7 8 15 >>Degrees of freedom (df) = (rows - 1) x (columns - 1) >> df = (2-1) x (2-1) = 1 >>Calculating expected frequencies for each cell ... >>Processing row 1, column 1 ... >> Observed value (O) = 6 >> Expected value (E) = (row total x column total) / grand total >> E = (9 x 7) / 15 = 4.2 >> Chi-square = (O - E)squared / E >> Chi-square = ((6 - 4.2) **2) / 4.2 >> Chi-square = 0.771428571428571 >>Total chi-square now = 0.771428571428571 >>Processing row 1, column 2 ... >> Observed value (O) = 3 >> Expected value (E) = (row total x column total) / grand total >> E = (9 x 8) / 15 = 4.8 >> Chi-square = (O - E)squared / E >> Chi-square = ((3 - 4.8) **2) / 4.8 >> Chi-square = 0.675 >>Total chi-square now = 1.44642857142857 >>Processing row 2, column 1 ... >> Observed value (O) = 1 >> Expected value (E) = (row total x column total) / grand total >> E = (6 x 7) / 15 = 2.8 >> Chi-square = (O - E)squared / E >> Chi-square = ((1 - 2.8) **2) / 2.8 >> Chi-square = 1.15714285714286 >>Total chi-square now = 2.60357142857143 >>Processing row 2, column 2 ... >> Observed value (O) = 5 >> Expected value (E) = (row total x column total) / grand total >> E = (6 x 8) / 15 = 3.2 >> Chi-square = (O - E)squared / E >> Chi-square = ((5 - 3.2) **2) / 3.2 >> Chi-square = 1.0125 >>Total chi-square now = 3.61607142857143 >>Calculating probability (P) ... >>Looking up critical values for chi at df = 1: >> Sig levels: 0.20 0.10 0.05 0.025 0.01 0.001 >> Crit vals: 1.64 2.71 3.84 5.02 6.64 10.83 >>Sig. 0.20: chi is greater than or equal to 1.64 >>Sig. 0.10: chi is greater than or equal to 2.71 Degrees of freedom: 1 Chi-square = 3.61607142857143 For significance at the .05 level, chi-square should be greater than or equal to 3.84. The distribution is not significant. p is less than or equal to 0.10. ------------------------------------------------------------------------ Return to Web Chi Square Calculator