Methods and formulas for difference in mean cumulative function (MCF) in Nonparametric Growth Curve

Difference in mean cumulative function (MCF)

The difference in the mean cumulative function between groups is the MCF for the first group minus the MCF for the second.

Standard error of difference in MCF

The standard error of the difference between the mean cumulative functions for two groups is the square root of the sum of the variances of the two groups.

Confidence limits for difference in MCF

Notation

TermDescription
estimated difference in the mean cumulative function
estimated standard error of the difference in the mean cumulative function
zαthe 1 – ( α / 2) percentile of a standard normal distribution where 100 – α % is the confidence level