Web Chi Square Calculator: Results ------------------------------------------------------------------------ Untitled Column 1 Column 2 Total Row 1 0 2 2 Row 2 2 0 2 Total 2 2 4 >>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) = 0 >> Expected value (E) = (row total x column total) / grand total >> E = (2 x 2) / 4 = 1 >> Chi-square = (O - E)squared / E >> Chi-square = ((0 - 1) **2) / 1 >> Chi-square = 1 >>Total chi-square now = 1 >>Processing row 1, column 2 ... >> Observed value (O) = 2 >> Expected value (E) = (row total x column total) / grand total >> E = (2 x 2) / 4 = 1 >> Chi-square = (O - E)squared / E >> Chi-square = ((2 - 1) **2) / 1 >> Chi-square = 1 >>Total chi-square now = 2 >>Processing row 2, column 1 ... >> Observed value (O) = 2 >> Expected value (E) = (row total x column total) / grand total >> E = (2 x 2) / 4 = 1 >> Chi-square = (O - E)squared / E >> Chi-square = ((2 - 1) **2) / 1 >> Chi-square = 1 >>Total chi-square now = 3 >>Processing row 2, column 2 ... >> Observed value (O) = 0 >> Expected value (E) = (row total x column total) / grand total >> E = (2 x 2) / 4 = 1 >> Chi-square = (O - E)squared / E >> Chi-square = ((0 - 1) **2) / 1 >> Chi-square = 1 >>Total chi-square now = 4 >>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 Degrees of freedom: 1 Chi-square = 4 p is less than or equal to 0.05. The distribution is significant. ------------------------------------------------------------------------ Return to Web Chi Square Calculator