What is the z-value of the bootstrap mediation test?

Bootstrap mediation test z-value

Bootstrap mediation test is a statistical technique used to determine the effect of an independent variable (X) on a dependent variable (M) through a mediating variable (M) Y) role. The z-value is a statistic calculated in this test that measures the statistical significance of the mediation effect.

Calculating Bootstrap z-value

The Bootstrap mediation test z-value is calculated by resampling the data multiple times. In each resampled sample, calculate the path coefficient using standard regression techniques:

• a Path:Direct effect of X on M
• b path:M’s direct effect on Y
• c’ path:X’s indirect effect on Y through M

The mediating effect is equal to c' path. To calculate the z-value, divide the mean value of the c' path by its standard deviation:

z = (c' - 0) / σ_c'

where σ_c' is the standard deviation of the c' path.

z-value explanation

The z-value measures the degree of the mediating effect relative to the uncertainty of its estimate. The larger the absolute value of the z-value, the higher the statistical significance of the mediation effect.

• z > 1.96:The mediation effect is statistically significant at the 0.05 level.
• z > 2.58:The mediation effect is statistically significant at the 0.01 level.
• z < -1.96:The mediation effect is not statistically significant at the 0.05 level.

Purpose

Bootstrap mediation test z-value is used to:

• Test whether the mediation effect exists
• Determine the size and direction of the mediating effect
• Determine the statistical significance of the mediating effect

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