Relative difference between Eq. (19) best fit and the unbiased standard deviation of the PINOCCHIO measurements. Different columns are for different redshifts, and the corresponding mass bins are shown in each panel. The vertical dotted line demarcates two distinct sets of measurements: Those to the left of the line were utilized as data points in the parameter fitting process, while the scatter of the points to the right was analyzed to estimate the variance. The gray regions highlight areas within a 5% deviation from the expected values.