Web Chi Square Calculator: Results ------------------------------------------------------------------------ Untitled Column 1 Column 2 Total Row 1 1 6 7 Row 2 8 0 8 Total 9 6 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) = 1 >> Expected value (E) = (row total x column total) / grand total >> E = (7 x 9) / 15 = 4.2 >> Chi-square = (O - E)squared / E >> Chi-square = ((1 - 4.2) **2) / 4.2 >> Chi-square = 2.43809523809524 >>Total chi-square now = 2.43809523809524 >>Processing row 1, column 2 ... >> Observed value (O) = 6 >> Expected value (E) = (row total x column total) / grand total >> E = (7 x 6) / 15 = 2.8 >> Chi-square = (O - E)squared / E >> Chi-square = ((6 - 2.8) **2) / 2.8 >> Chi-square = 3.65714285714286 >>Total chi-square now = 6.0952380952381 >>Processing row 2, column 1 ... >> Observed value (O) = 8 >> Expected value (E) = (row total x column total) / grand total >> E = (8 x 9) / 15 = 4.8 >> Chi-square = (O - E)squared / E >> Chi-square = ((8 - 4.8) **2) / 4.8 >> Chi-square = 2.13333333333333 >>Total chi-square now = 8.22857142857143 >>Processing row 2, column 2 ... >> Observed value (O) = 0 >> Expected value (E) = (row total x column total) / grand total >> E = (8 x 6) / 15 = 3.2 >> Chi-square = (O - E)squared / E >> Chi-square = ((0 - 3.2) **2) / 3.2 >> Chi-square = 3.2 >>Total chi-square now = 11.4285714285714 >>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 >>Sig. 0.05: chi is greater than or equal to 3.84 >>Sig. 0.025: chi is greater than or equal to 5.02 >>Sig. 0.01: chi is greater than or equal to 6.64 >>Sig. 0.001: chi is greater than or equal to 10.83 Degrees of freedom: 1 Chi-square = 11.4285714285714 p is less than or equal to 0.001. The distribution is significant. ------------------------------------------------------------------------ Return to Web Chi Square Calculator