Sobel test is a technique of analysing the implication of a mediation effect.
A = Association between IV & mediator Coefficient. B = Association between mediator & DV Sa = Standard error of A. Sb = Standard error of B. IV = Independent Variable. DV = Dependent Variable.
Calculate sobel test, if path 'A' was equal to 2, and path 'B' was equal to 3, with standard errors of 0.3 ( Sa ) and 0.4 ( Sb ) respectively.
Coefficient for Association between IV & mediator = 2 Coefficient for Association between mediator & DV = 3 Standard error of A = 0.3 Standard error of B = 0.4
Sobel test statistic value
Substitute the given values in the formula to find the Sobel test statistic value, = A * B /√ B2 * Sa2 + A 2 * Sb2 = 2 x 3/ √ 3 x 3 x 0.3 x 0.3 + 2 x 2 x 0.4 x0.4 Sobel Test statistic value = 4.983