CDF.PSIdekick (version 1.2)

findMaxError: Locate where the maximum error occurs between two CDFs

Description

Find the location of the maximum direct error between a non-private CDF and a DP approximation of that CDF.

Usage

findMaxError(Y, est, range, gran, ...)

Arguments

Y

The vector output of a non-differentially private CDF computation (cumulative count bins)

est

The vector output of a differentially private CDF computation (cumulative count bins)

range

A vector length 2 containing user-specified min and max to truncate the universe to

gran

The smallest unit of measurement in the data (one [year] for a list of ages)

...

Optionally add additional parameters. This is primarily used to allow automated execution of varied diagnostic functions.

Value

A single value, the value at which the largest absolute vertical difference between parallel observations in the private- and true-CDF vectors occurs.

Examples

findMaxError(c(.1,.2,.3,.4,.5,.6,.7,.8,.9,1), c(.1,.2,.3,.3,.3,.3,.3,.3,.4,1), c(1,10),1)